Answers
The answers are 1.67 glucose molecules, 36 glucose molecules, 15 glucose molecules and 8400 times.
What is proportionality?When two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given are some questions regarding production of glucose molecules during aerobic metabolism.
1) 1 glucose molecules produces 30 ATP molecules, how many for 50 ATP molecules :-
Using proportionality, let there be x glucose molecules required to produce 50 ATP molecules,
1 / 30 = x / 50
x = 5/3
x = 1.67
Therefore, there are 1.67 glucose molecules required to produce 50 ATP molecules.
2) 1 glucose molecules produces 6 ATP molecules, how many for 216 ATP molecules :-
Using proportionality, let there be x glucose molecules required to produce 216 ATP molecules,
1 / 6 = x / 216
x = 36
Therefore, there are 36 glucose molecules required to produce 216 ATP molecules.
3) 1 glucose molecules produces 30 ATP molecules, how many for 450 ATP molecules :-
Using proportionality, let there be x glucose molecules required to produce 450 ATP molecules,
1 / 30 = x / 450
x = 15
Therefore, there are 15 glucose molecules required to produce 450 ATP molecules.
4) Since, in one day it's 1200 times an ATP molecule is reused in a human body,
We need to find for a week, there are 7 days in a week,
Therefore, an ATP molecule is reused in a human body for a week = 1200 x 7 = 8400 times.
Hence, the answers are 1.67 glucose molecules, 36 glucose molecules, 15 glucose molecules and 8400 times.
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Related Questions
blah blah blah blah blah blah blah blah blah
Answers
Answer:
blab blah??
Step-by-step explanation:
thats not a good question tbh
The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model for this data. Y = x + 95 according to the model, how much does the systolic blood pressure increase for each year of age?.
Answers
According to the model, the systolic blood pressure increases by 1 unit (e.g. mmHg) for each year of age.
What is scatter ?
A scatter plot, also known as a scatter diagram or scatter graph, is a type of graph used to display the relationship between two quantitative variables. It is a useful tool for visualizing and analyzing data.
A scatter plot consists of a set of points, each representing a pair of (x, y) values. The x-axis represents one variable and the y-axis represents the other variable. The points on the plot are placed based on the values of the two variables.
The equation given is Y = x + 95, where Y represents the systolic blood pressure and x represents the age.
The slope of the linear equation represents the rate of change of the dependent variable (systolic blood pressure) with respect to the independent variable (age). In this case, the slope of the equation is 1.
Therefore, according to the model, the systolic blood pressure increases by 1 unit (e.g. mmHg) for each year of age.
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HELPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEE
Ethan ordered a bouquet of assorted flowers. It included 3 roses, 4 daisies, and 4 lilies. If only one of the flowers was pink, what is the probability that the pink flower was a rose?
Answers
Answer: 3/11
Step-by-step explanation:
first add all the flowers, 3 roses, 4 daisies, and 4 lilies. 3 + 4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there is a 3/11 chance its a rose.
A recent college graduate is looking to begin saving for retirement. Option A is a savings account with 3.5% annual simple interest. Option B is a savings account with 3.5% annual interest compounded monthly. If the principal investment is the same for both options, which account would have a larger balance after 10 years? Option A will have the larger balance after 10 years because simple interest generates earnings from principal only. Option A will have the larger balance after 10 years because simple interest generates earnings from both principal and interest. Option B will have the larger balance after 10 years because compound interest generates earnings from both principal and interest. Option B will have the larger balance after 10 years because compound interest generates earnings from principal only.
Answers
A recent college graduate is looking to begin saving for retirement. Option A is a savings account with 3.5% annual simple interest. Option B is a savings account with 3.5% annual interest compounded monthly. If the principal investment is the same for both options, the account which would have a larger balance after 10 years is Option B because compound interest generates earnings from both principal and interest which is denoted as option C.
What is Compound interest?This is referred to as the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Compound interest makes a sum of money grow at a faster rate than simple interest, because in addition to earning returns on the money you invest, you also earn returns on those returns or interest accrued at the end of every compounding period.
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Answer:
Option B will have the larger balance after 10 years because compound interest generates earnings from both principal and interest.
Write a possible equation for a sine function that has a minimum point at (-3, 0) and a maximum point at (-9, 6).
Answers
The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3
From the case, we have:
Minimum point = (-3,0)
Maximum point = (-9,6)
The sinusoidal fuction would be in the form of:
y = A sin (Bx - C) + D
where:
A = amplitudo
B = 2π / Period
C = Phase shift
D = Midline
First, we need to find the amplitudo:
A = (Y max - Y min) / 2
A = (6 - 0) / 2
A = 3
Periode = (X max - X min) x 2
Periode = (-9 - (-3) x 2
Periode = -6
B = 2π / Periode
B = 2π / 6
B = 1/3 π
D = (Y max + Y min) / 2
D = (6 + 0) / 2
D = 3
We can use one point to find the value of C:
0 = 3 sin (π/3 (-3) - C) + 3
0 = 3 sin (π - C) + 3
-3 = 3 sin (π - C)
sin (π - C) = -1
(π - C) = 270
C = -1/2 π
C = - 90
Then the sinusiodal function would be:
y = 3 sin (πx + 90) + 3
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What is the factor of x² 9x 18 0?.
Answers
The factors of equation, x²- 9x + 18 = 0 are (x- 3)(x- 6), where x is variable.
Factorization is a mathematical process that is applied to split a number, an expression, matrix etc. into the product of factors such that when we multiplied these factors again we get the original one. We have, an equation is x² - 9x + 18 = 0 --(*) and we have to factorize it. Steps to factorize the quadratic equation, ax² + bx + c = 0, are :
Splitting the middle term, b such that the product of splitting terms is ac and sum or difference is b. grouping the terms factors of each groupNow, comparing the equation (*) with standard equation we get, a = 1 , b = -9 , c = 18.
So, Split the number 9, into 6 and 3
=> x² - 9x + 18
=> x² - 6x - 3x + 18
=> (x² - 6x) - (3x - 18) [ grouping]
=> x( x - 6) - 3( x-6) [ factors of group ]
=> (x- 3)(x- 6)
so, x² - 9x + 18 = (x- 3)(x- 6) = 0 helps to get the solution of it (x- 3)(x- 6) = 0 => x = 6,3
Hence, the required factors are (x- 3)(x- 6).
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Complete question:
What is the factor of x² - 9x + 18 = 0?.
7. Jackie sells hair products on a website. The cost for a customer to subscribe as an online member is $20. She
also sells each hair product for $6.25. Write and solve an equation to determine how many hair products, h, that
she must sell to make a profit of $120.
Equation:
Answers
(h x $6.25) - $20 is a equation to figure how how many hair products she needs to sell to generate a profit of $120.
Why do you use the word "profit"?Profit is just the money left over after costs are paid. A loss is deemed to have occurred if the expenses exceeded the income.
A gain is a positive figure, whereas a loss is a negative one.
To determine whether a contract is lucrative or not, the phrases profit and loss are utilized. These words are frequently used in ordinary conversation. If the selling price exceeds the cost price, the difference between the two amounts is known as the profit.
The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:
$120 (profit) = (h x $6.25) - $20 (cost of online membership)
where h is the number of hair products sold.
To solve for h, we can first add $20 to both sides of the equation:
$120 + $20 = h x $6.25
Next, we can divide both sides of the equation by $6.25 to find the value of h:
h = ( $120 + $20 ) / $6.25
h = 20
So Jackie must sell 20 hair products to make a profit of $120.
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(h x $6.25) - $20 is an equation to figure how many hair products she needs to sell to generate a profit of $120.
Why do you use the word "profit"?Profit is just the money that remains after expenses are covered. A loss is deemed to have occurred if the expenses exceeded the income.
A gain is a positive figure, whereas a loss is a negative one.
The terms profit and loss are used to assess how valuable a transaction is. In everyday discourse, these terms are often employed. The difference between the two sums is referred to as the profit if the selling price is higher than the cost price.
The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:
$120 (profit) = (h x $6.25) - $20 (cost of online membership)
where h is the number of hair products sold.
To solve for h, we can first add $20 to both sides of the equation:
$120 + $20 = h x $6.25
Next, we can divide both sides of the equation by $6.25 to find the value of h:
h = ( $120 + $20 ) / $6.25
h = 20
So Jackie must sell 20 hair products to make a profit of $120.
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-2.4 + 0.4f - 12 - 6 simplified
Answers
Step-by-step explanation:
-2.4 + 0.4f - 12 - 6 can be simplified as follows:
-2.4 - 12 = -14.4
0.4f - 6 = 0.4f - 6
So, the simplified expression is:
-14.4 + 0.4f
or
-14.4 + 0.4f is the simplified form of -2.4 + 0.4f - 12 - 6
how do u solve for x?
Answers
To solve for x in an equation, you will need to use algebraic techniques to isolate x on one side of the equation. The specific steps will depend on the equation you are trying to solve.
Here are a few examples of how to solve for x in different types of equations:
Linear equation: An equation of the form ax + b = 0, where a and b are constants. To solve for x, you would subtract b from both sides and then divide both sides by a.
Quadratic equation: An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. To solve for x, you would factor the equation or use the quadratic formula.
System of equations: A set of equations with multiple variables, such as 2x + 3y = 5 and 4x + 6y = 10. To solve for x, you would use elimination or substitution method.
Help 0=x^2-1/3 any method
Answers
the value x in this equation will be ±√1/3.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The given equation x² - 1/3 =0
x² = 1/3
taking square root both side
x = ±√1/3
Hence the value x in this equation will be ±√1/3.
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PLEASE HELP ASAP. URGENT HELP NEEDED.
Answers
Answer: 10.6cm
Step-by-step explanation:
refer to the image for steps
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.
Answers
The equation has to be a true statement.
Start with a true statement: 8 = 8
Now add 4x to both sides: 4x + 8 = 4x + 8
It's still a true statement.
Factor the right side: 4x + 8 = 4 (x+2)
Subtract 3 from both sides: 4x + 5 = 4(x+2) - 3
There's an example of an equation with infinitely many solutions. To solve it, work the process we used to create it in reverse.
To solve the equation:
Start with the given equation: x - 2 = x - 2
Check that both sides of the equation are equal:
x - 2 = x - 2
The equation is already true for any value of x, so it has infinitely many solutions.
This equation has an infinite number of solutions because both sides of the equation are equal for any value of x. No matter what value x takes, the equation will always be true. This is because the left side of the equation is always the same as the right side of the equation.
Another example of equation would be 2x = 2x, which has infinite solutions.
Hence, any equation with a variable on both sides of the equal sign with the same value is true for any value of that variable and is referred to as infinitely many solutions.
What are the variable restrictions on the rational equation 2x/5 = x+6/4?
Answers
The variable restrictions on the rational equation 2x/5 = x+6/4 are 0,-6/4
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Given;
2x/5 = x+6/4
Now, to find out the restrictions of the variable;
2x/5=0
2x=0
x=0
x+6/4=0
x=-6/4
Therefore, by simplification the restrictions will be 0 and -6/4
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The radian measure of an angle θ is the length of thea) opposite sideb) diameter c) hypotenused) arc that subtends the angle in a circle of radius pi141/2pi/2
Answers
The radian measure of an angle theta is the length of the arc that subtended angle 2Pi
We can measure angles in two forms degrees or Radians.
Radian can be described as a measure of the angle subtended by a circular arc. It can be defined as the ratio of the arc length subtending angle to the radius of the circle.
One radian is the measure of the angle subtended by an arc that is equal to the radius of the circle.
Therefore, the radians measure an angle theta the length of the arc.
Θ =s/r ,
where theta is the angle subtended, s is the arc length and r is the radius of the circle.
We know that the 2π radians = 360 degrees.
That subtends the angle in a circle of radius 2Pi
Therefore, The radian measure of an angle theta is the length of the arc that subtended angle 2 Pi
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37 buyer came to the "Electronic World" tore. 23 people bought new earphone, 17 bought a new phone, 13 people did not buy either. How many people bought both earphone and a phone?
Answers
Answer:
Step-by-step explanation:
4) A cereal box has dimensions of 7% inches, 12 inches, and 2 inches. A pastry box has dimensions of 3%
inches, 3 % inches, and 2 % inches. What is the difference in volume, in cubic inches, between the two boxes?
Show your work.
Answers
The difference in volume between the cereal box and pastry box is 167.991 cubic inches.
What are Dimensions?
Dimensions refer to the measurement of the size or extent of an object or space in a particular direction, such as length, width, and height. In the context of boxes, dimensions are used to describe the length, width, and height of a box, usually given in inches or centimeters.
To find the volume of a rectangular box, we use the formula:
Volume = length x width x height
Let's first find the volume of the cereal box:
Volume of cereal box = 7 inches x 12 inches x 2 inches = 168 cubic inches
Now let's find the volume of the pastry box:
Volume of pastry box = 3% inches x 3% inches x 2% inches = 0.009 cubic inches
Now, to find the difference in volume between the two boxes, we subtract the volume of the pastry box from the volume of the cereal box:
168 cubic inches - 0.009 cubic inches = 167.991 cubic inches
Hence, the difference in volume between the cereal box and pastry box is 167.991 cubic inches.
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I have been stuck on this maths question for 3 hours pls help
Answers
b) highest possible value is £214999.99
hope this helps!
Write a entence decribing a ituation that could be reapreented by the equation 4 divided 1 1/3
Answers
The equation could be described by "the product of three and the reciprocal of four divided by three"
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
To solve this problem we must perform the corresponding algebraic operations with mixed fraction.
Original equation:
4 / (1 1/3)
A mixed operation is solved as follows:
For the denominator: the same denominator is placed.
For the numerator:
The value of the denominator is multiplied by the integer component.The result is added to the numerator of the fraction.We transform the mixed fraction into improper fraction and we have:
1 1/3 = [(3*1) + 1)] /3 = [3+ 1] /3 = 4/3
Now, describing the equation with the improper fraction we get:
4 / (4/3)
Solving the division with fractions we have:
(4*3) / 4
This means that "the product of three and the reciprocal of four divided by three"
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What is the y-intercept of y =- 3 4x 6?.
Answers
1) y intercept in the given equation is 6
The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function-t he x-intercept and the y-intercept. A function's intercept is the location on the axis where the function's graph crosses it.
An equation of a straight line is written in the form: y=mx+c
where y is the y-coordinate,
m is the slope of the line,
x is the x-coordinate
and c is the y-intercept
Thus, from the question, y=3/4x+6, we can say
m=3/4 and c=6
Thus, y intercept for this equation is 6
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I'lll give brainliest for the correct answer!! <3
Answers
C.) right and isosceles, but not equilateral
Answer:
C.) right and isosceles, but not equilateral
Step-by-step explanation:
The table below shows the snowfall in a north eastern city in inches for the first week in January.find the aver Rate of change in the number of inches of snowfall from January 8 to January 11
Answers
The average rate of change in the number of inches of snowfall from January 8 to January 11 include the following: A. 2/3 in.
What is the rate of change?In Mathematics, the rate of change is sometimes referred to as slope or gradient and it can be calculated by using this formula;
Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change, m = (y₂ - y₁)/(x₂ - x₁)
Next, we would determine the rate of change of the value of snowfall (y) with respect to the date (x), which represents a line that is passing through the data points (8, 10) and (11, 12):
Rate of change, m = (12 - 10)/(11 - 8)
Rate of change, m = 2/3.
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Complete Question:
Find the average rate of change in the number of inches of snowfall from January 8 to January 11.
Choose: 2/3 in. 2 in. 3 in. 6 in.
How many significant figures does the number 1.006 x 10⁷ have?A) 3B) 4C) 5D) 6E) 8
Answers
Answer: C. 4
Step-by-step explanation:
The number 1.006 x 10⁷ has four significant figures. The power of 10 in scientific notation doesn't influence the number of significant figures.
Explanation:The number of significant figures in the number 1.006 x 10⁷ is determined by the digits of the number itself, excluding any powers of 10. The power of 10 in scientific notation doesn't influence the number of significant figures. So, here, we only consider 1.006 which has four digits, all of which are significant. Therefore, the number 1.006 x 10⁷ has 4 significant figures.
So, the answer is B) 4.
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I need some help on this question please with this problem
Answers
Answer:
Equation: 4x +(x -5) = 90∠1 = 76°∠2 = 14°Step-by-step explanation:
Given two complementary angles labeled (4x)° and (x-5)°, you want an equation for finding x, and the measures of the two angles.
EquationThe equation will reflect the fact that the angles have a sum of 90°:
4x +(x -5) = 90
SolutionThe equation simplifies to ...
5x -5 = 90
5x = 95
x = 19
∠1 = 4x° = 76° . . . . . . measure of larger angle
∠2 = (x -5)° = 14° . . . . . measure of smaller angle
__
Additional comment
The little square at the vertex of the angles means that is a right-angle corner. Its measure is 90°. The two angles 1 and 2 together make up that right angle. That is the relation you use to form the equation.
Rewriting (simplifying) the sum ...
4x +(x -5) = 5x -5
tells you nothing about the value of x. Any value for x will satisfy this equation. In order to find x, you need to relate this sum to something other than itself. (There is a reason why the angle is marked as a right angle.)
22_23_DC_Gr7_Math_MYA
A car travels 2 miles in 5 minutes at a constant speed. How far did the car travel in 30 minutes?
Answers
Running a mile in five minutes is similar to moving at 12 mph (19.4 kph) on a treadmill.
How is miles calculated?
the statutory mile, which has a length of 5,280 feet, is one example of a mile (1.609 km). Its original unit of measurement was the 5,000-foot-long Roman mile passus, often known as the "thousand paces."
Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as d=((x 2-x 1)2+(y 2-y 1)2).
The formula for the distance between the points (a,b) and (c,d) is square root of (a,c)2 + (b,d)2. The distance in three dimensions between points (a, b, c) and (d, e, f) is equal to the square root of (a, d), (b, e), and (c, f)2.
We have,
Car speed = 0.4 miles per minute
We need to find the distance traveled in 30 minutes with a speed of 0.4 miles per minutes.
Speed is given by:
Speed = Distance / Time
Distance = Speed x Time
Distance = 0.4 x 30
Distance = 12 miles
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What is the trigonometric ratio of Cosθ?.
Answers
When we have a right triangle, Cos = a / h, according to the cosine law. In this situation, the letter "a" stands for adjacent.
The hypotenuse, denoted by the letter "h," can be calculated using the Pythagorean Theorem. All you need to get cosine is the hypotenuse and the neighboring side.
The ratio of the length of the side next to the angle divided by the length of the triangle's hypotenuse is known as the cosine of an angle.
The triangle's sides, a, b, and c, are determined using the cosine formula, which is given as
c = [a2 + b2 - 2ab cos C]
According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them.
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Alyson deposits $500 in the bank for 12 years. The bank offers her a 4% interest rate compounded monthly. How much money will be in her account at the end
of the 12 years? (Remember to round your answer to the nearest cent.)
Answers
Answer:
$807.39
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $500r = 4% = 0.04n = 12 (monthly)t = 12 yearsSubstitute the given values into the compound interest formula and solve for A:
[tex]\implies A=500\left(1+\dfrac{0.04}{12}\right)^{12 \cdot 12}[/tex]
[tex]\implies A=500\left(1.00333333...\right)^{144}[/tex]
[tex]\implies A=500\left(1.61478492...\right)[/tex]
[tex]\implies A=807.392461...[/tex]
Therefore, Alyson will have $807.39 (nearest cent) in her account at the end of 12 years.
1 Write the area as a sum:
2 Write the area as a product:
Answers
The area of the shape as a sum is 2x^2 + 5x + 2.
The area of the shape as a product is (x+2) (2x+1).
What is area of a shape?
A figure surrounded by a barrier is referred to as a shape. Numerous things in shapes like square, rectangle, round, etc. are all around us.
The space around by a shape's perimeter or boundary is known as its area. Using particular mathematical methods, we may determine the area of shape for various geometric shapes.
Area as a sum
For this, we will simply add all the values given in the figure
⇒ x^2 + x^2 + x + x + x + x + x + 1 + 1
⇒ 2x^2 + 5x + 2
So, the area of the shape as a sum is 2x^2 + 5x + 2.
Area as a product
The shape given is a rectangle
Area of a rectangle is length * width
Now, the length is x+2 and the width is 2x+1
So, the area is
⇒(x+2) (2x+1)
So, the area of the shape as a product is (x+2) (2x+1).
Hence, the area of the shape as a sum and as a product are obtained.
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A waterwheel with a radius of 10 feet is positioned so that its center is 8 feet above the water.
The waterwheel rotates at 5 revolutions per minute. You start your stopwatch. Two seconds later, Point P on the rim is at its lowest point. Assume that y varies sinusoidally with t, where y is the distance of point P from the surface of the water in terms of the number of + seconds that the stopwatch reads.
A. Write an equation: y=
B. Predict the distance from the surface of the water when the stopwatch reads 17.2 seconds
C. At 40 seconds is the point on the wheel going into the water or coming out?
Answers
Answer:
A. y = 8 - 10sin(5πt)
B. y = 8 - 10sin(5π(17.2)) = 8 - 10sin(86π) ≈ 8 - 10(-0.99) ≈ 18.9
C. At 40 seconds, the point on the wheel is coming out of the water.
4. Find the equation of the line passing through the point (3.2) and parallel to line x + 2y = 5
5. Find the equation of the line passing through the point (2,5) and parallel to line x + 3y - 8
Answers
Answer:
To find the equation of the line passing through the point (3,2) and parallel to line x + 2y = 5, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
We know that two lines are parallel if they have the same slope. Since the given line x + 2y = 5 has a slope of -1/2, the equation of the line passing through (3,2) and parallel to x + 2y = 5 is y - 2 = -1/2 (x - 3), or simplifying y = -1/2x + 7/2
To find the equation of the line passing through the point (2,5) and parallel to the line x + 3y - 8, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
We know that two lines are parallel if they have the same slope. Since the given line x + 3y - 8 has a slope of 1/3, the equation of the line passing through (2,5) and parallel to x + 3y - 8 is y - 5 = 1/3 (x - 2), or simplifying y = 1/3x + 1/3
It's important to note that the lines are parallel because they have the same slope and different y-intercept, which means that they will never intersect.
Step-by-step explanation:
a boat can travel 174 miles on 58 gallons of gasoline. How far can it travel on 39 gallons?
Answers
Answer:
117 miles
Step-by-step explanation:
174 miles ⇒ 58 gallons
A miles ⇒ 39 gallons
A = 174 miles * 39 gallons / 58 gallons
A = 117 miles
