An equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
What is an equation?An equation is a mathematical statement that claims that two mathematical expressions are equal.
An equation contains the equation symbol (=).
Data and Calculations:The number of bottles in his office = 17 bottles
The total number of bottles required = 350 bottles
The total number of additional bottles of water required, y = 333
1 case of water bottles = 24 bottles
The equation to show the additional cases required is y = 24x - 3, where y = 333 bottles and x = 14.
Check:
y = 24x - 3
333 = 24(14) - 3
333 = 336 - 3
333 = 333
Thus, an equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
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Which of the following is true about perpendicular lines? Select all that apply.
*
They will never cross.
They have the same slope.
Their slopes are opposite reciprocals.
They cross at a right angle.
They are in the same plane.
The statements which are true about perpendicular lines are;
Their slopes are opposite reciprocals.They cross at a right angle.What are parallel lines?Perpendicular lines in their simplest description are lines which meet or cross each other forming a right angle, 90°.
Also, It follows from line geometry that such lines have their slopes as opposite reciprocals.
Consequently, their slopes are such that; m1 × m2 = -1.
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What is 4(3h-4)=2(6h+8)
The equation 4(3h-4)=2(6h+8) have no solutions.
When the equation have no solutions?Some equations do not have solutions. There isn't any value for such variable that helps make the equation true in these equations. When you attempt to solve an equation and receive a false statement, you know it has no solutions.Some equations only have one solution. In such equations, the variable has only one value that makes this same equation true. If you solve an equation and find a variable equal to the a number, you know it has one solution.For the given equation;
4(3h - 4) = 2(6h + 8)
Simplify the equation as;
12h - 16 = 12h + 16
Bring the variable and constant on the different sides;
12h - 12h = 16 + 16
0 = 32
but, 0 ≠ 32.
As, given equation gives the false result, the equation are said to have no solutions.
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Ryan made a table to show how much blue and red paint he mixed to get the shade of purple he will use to paint the room. He wants to use the table to make larger and smaller batches of purple paint. What ratio was used to create this table? Support your answer
The ratio that was used to create this table is 4:1.
What does a math ratio mean?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.In the top row, they are all even numbers, and in the bottom row, they are all odd numbers
They all simplify to 4:1
Based on the table given, the ratio will be:
= 12/3
= 4/1
= 4:1
The values in each row related to each other as in the top row, they are all even numbers, and in the bottom row, they are all odd numbers.
The values in each column related to each other as they've a ratio of 4:1.
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Fadi set out at 5am on his bike averaging at 6mph. At 8am Chris goes out on his moped averaging 15mph. What time will Chris catch up with Fadi?
Since at 8am Chris goes out on his moped averaging 15mph, the time Chris catches up with Fadi is at 10 am.
How to find the time will Chris catch up with Fadi?Since Fadi set out at 5am on his bike averaging at 6mph, the distance Fadi travels is d = vt where
v = Fadi's speed = 6 mph and t = time.So, Fadi's distance d = vt
= 6t
Now, At 8am Chris goes out on his moped averaging 15mph, the distance Chris travels is D = v't' where
v = Chris' speed and t = Chris' time of travel.So, Chris' distance D = v't'
= 15t'
Also, since Fadl sets out at 5 am on his bike and Chris goes out on his moped at 8 am, Chris sets out 8 am - 5 am = 3 hrs later.
So, Chris' time of travel t' = t - 3
So, Chris' distance D = 15t' = 15(t - 3)
Now, Chris will catch up with Fadi when they both cover the same distance
So, d = D
6t = 15(t - 3)
6t = 15t - 45
6t - 15t = -45
-9t = -45
t = -45/-9
t = 5 hours
Since Chris's time is t' = t - 3, substituting t = 5 into the equation, we have
t' = 5 - 3
= 2 hours
So, Chris catches up with Fadi 2 hours later at 8 am + 2 hours = 10 am.
So, the time Chris catches up with Fadi is at 10 am.
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the second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. is the perimeter of the deck is 64 feet, what are the lengths of the three sides
The lengths of the three sides are 16 feet, 21 feet, and 27 feet
let the shortest side be x
then the second side would be x+ 5 feet
and the third side would be 2x- 5 feet
as we are provided with the parameter of the deck as 64 feet
Parameter = sum of all sides
64 = x + (x+5) + (2x-5)
64 = 4x
So, in order to find out the measurement of the sides of the triangular deck we need to solve this linear equation
64 = 4x
X = 64/4
X = 16 feet
Therefore, first side/ shortest side = x= 16 feet
Second side = x+5 = 16+5 = 21 feet
Third side = 2x-5= 2(16) -5 = 27feet
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What is the answer 1/3 of x is 14
The required answer for 1/3 of x is 14 is x = 42.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
1/3 of x is 14
Thus converting it into numerical expression.
So we have,
1/3 of x = 1/3 * x= x/3
Thus is equal to 14
Thus, the equation we get is,
x/3 = 14
To solve the above isolate x on one side and other terms to another.
Thus multiplying whole equation by 3 we get,
3*x/3 = 14*3
Simplifying we get,
x = 42
This is the required answer for the given expression.
Thus, the required answer for 1/3 of x is 14 is x = 42.
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(a[tex](a^6)^2a^7[/tex]
Answer: a(a^6)^2a^7 = [tex]a^{20}[/tex]
Step-by-step explanation:
Given data,
= a(a^6)^2a^7
We can write,
= [tex]a * (a^{6}^)^{2} * a^{7}[/tex]
Simplify using exponent power rule, [tex](a^{n} ) ^{m}[/tex] = [tex]a^{mn}[/tex]
So, we can write using formula,
= [tex]a * a^{6*2} * a^{7}[/tex]
= [tex]a * a^{12} * a^{7}[/tex]
Multiply the monomials,
We can use the formula, [tex]x^{a} * x^{b} * x^{c}[/tex] = [tex]x^{a+b+c}[/tex]
So, we can write,
= [tex]a^{1+12+7}[/tex]
= [tex]a^{20}[/tex]
Therefore,
a(a^6)^2a^7 = [tex]a^{20}[/tex]
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what is the process to answer this equation 6x ?= 6/7
Answer: x = 1/7, or around 0.14
Step-by-step explanation: In the equation 6x = 6/7, you have to divide both sides by 6 (as x is multiplied by 6). (6/7)/6 = (6/7) * (1/6), which equals 6/42, thus simplifying to 1/7.
ERROR ANALYSIS Describe and correct the error in interpreting the statement.
If a figure is a rectangle, then the figure has four sides. A trapezoid has four sides.
X
Using the Law of Detachment,
you can conclude that a trapezoid
is a rectangle.
Answer:
The fact points to the conclusion of the conditional.
Step-by-step explanation:
Law Of Detachment:
p -> q (if p is true, then q is true)
***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.
i ready help please . .. . .. . . . . . . . .. . . . .. .. . .. . . . .
The solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
How to Evaluate an Expression?To evaluate the expression, 3a + 4b³ - 5, when a = 6 and b = 2, substitute the values of a and b into the expression and solve.
Thus, we would have:
3a + 4b³ - 5 = 3(6) + 4(2³) - 5
Solve the exponent
3a + 4b³ - 5 = 3(6) + 4(8) - 5
3a + 4b³ - 5 = 18 + 32 - 5
Add
3a + 4b³ - 5 = 45
Therefore, the solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
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can someone help me with this ?
Using function concepts, it is found that:
a) Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.
b) If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.
c) if f(x) = 2, x = 16, so point (16,2) is on the graph of f.
d) The domain is all real numbers except x = 4.
e) The x-intercept is of x = -8.
f) The y-intercept is of y = -2.
What are the points on the graph?The function is given by:
f(x) = (x + 8)/(x - 4).
Hence, when x = 3:
f(3) = (3 + 8)/(3 - 4) = 11/-1 = -11.
Hence:
Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.
When x = 1, we have that:
f(1) = (1 + 8)/(1 - 4) = 9/-3 = -3.
If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.
For f(x) = 2, we have that:
2 = (x + 8)/(x - 4)
2x - 8 = x + 8
x = 16.
Hence:
if f(x) = 2, x = 16, so point (16,2) is on the graph of f.
What is the domain of the function?The domain of a function is the set that contains all possible input values of the function.
This function is a fraction, meaning that the denominator cannot be zero, so:
x - 4 = 0 -> x = 4.
Hence:
The domain is all real numbers except x = 4.
What are the intercepts of the function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.For this problem, we have that:
f(x) = 0.
(x + 8)/(x - 4) = 0.
x + 8 = 0
x = -8.
f(0) = 8/-4 = -2.
Hence:
e) The x-intercept is of x = -8.
f) The y-intercept is of y = -2.
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Estimate each product 75÷7
Answer:
10.7142857143
Step-by-step explanation:
Answer:
10.71428
10.71
About 10.7
how do you do this ill give 20 points!!!!!!!
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The angles are given below.
∠ABC = ∠DEF ...1
∠GHI = ∠DEF ...2
From equations 1 and 2, then we have
∠ABC = ∠DEF
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
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Which equation best models the trend in the data in the scatter plot shown below?
A y=-0.25x +3
B y=-0.5x +4
C y = -0.75x + 5
D y = x + 6
Answer:
The answer would be B. y= -0.5x+4.
what is m=x+n/p solve for m
x = p / (m + n) is factor of algebraic expression .
What does a math factor mean?
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.mx + nx = p
You can factor x out of the mx + nx.
x(m + n) = p
Now, simply divide by the m + n.
x = p / (m + n)
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When you look at the Binomial Probability formula, it shows that n C x p x q n - x
It implies that the Binomial Probability formula contains the concept of the "Combination", not Permutation. Please describe why we need to use the Combination formula to define the Binomial Probability. Why not using the Permutation?
The reason is that the binomial formula is telling us the probability of a particular number of successes. Let’s take 5 turns at bat for a baseball player who gets hits 20% of the time. We want to find the probability that he will get exactly 2 hits. He could get hits on tries 1 & 2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, 4&5. There’s no difference between getting hits on the 1st & 2nd, and getting hits on the 2nd and 1st. They’re the same thing. A permutation would treat those as different, when in reality the order doesn’t matter.
The reason the Binomial Distribution is able to use a combination as oppose to a permutation is because of the symmetry of these types of problems.
Suppose you have n objects of 2 categories. x of them are in the first category and y in the second. Therefore the number of ways you can arrange these n objects is:
Since this also describes the number of ways you can arrange failures and success in a binomial problem, let’s substitute this in place of the combination:
where x = number of repeats in successes and y = number of repeats in failures
Therefore expressing the Binomial Distribution as a combination simplifies the process slightly. However, it’s important to recognize that the combination used is actually a permutation in disguise; it must be a permutation because order matters in the context of Binomial Distributions. The combination doesn’t directly explain the number of ways to arrange the successes and failures, but can be equated to the permutation that does.
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Please help I’ll mark brainly
Hello,
[tex]\boxed{-4} - 3 = - 7[/tex]
Determine whether each relation is a function. {(3, 2), (-1, 3), (5, 2)} and {(9, -1), (3, 6), (-2, 4), (3, 0)}
We can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
What Makes a Relation a Function?A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.
Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.
For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.
Therefore, we can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
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graph the solution to this inequality on the number line. w -0.8 > -2.4 first select the correct ray. then select the location of the endpoint to plot the inequality on the number line.
Answer:
Step-by-step explanation:
The solution to the inequality is
Inequality
Inequalities are used to represent expressions of unequal values
The inequality is given as:
Add 0.9 to both sides of the inequality
Simplify the inequality
The above inequality means that:
The arrow on the number line points to the right
The arrow begins at point -1.2 with an open circle or dotted lines
Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? $
Answer:
$4.75
Step-by-step explanation:
The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.
Answer:
after thinking about this thoroughly I've got the answer.
its $19.73
Step-by-step explanation:
23-3.27-14.98=4.75
So the answer is $4.75
A bakery sold 138 mocha cupcakes in a day, which was 46% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
x=300
Step-by-step explanation:
138=46%x
x=300
hope this helps!
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
46% = 138
100% = 300
The total number of cupcakes sold on that day is 300.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of mocha cupcakes sold in a day = 138
The percentage of mocha cupcakes sold in a day = 46%
The percentage of total cupcakes sold in a day = 100%
Now,
46% = 138
Multiply 100/46.
100/46 x 46% = 100/46 x 138
100% = 300
Thus,
The total number of cupcakes sold on that day is 300.
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F(B-g3)=2 solve for b
Solving for B gives B = 2/ F + g³
What is subject of formula?
Subject of formula can be defined as the variable that is expressed in terms of other variables in an equation or expression.
Given the equation;
F(B-g³)=2
To make 'B' the subject of formula, we have to take the following steps
Divide both sides by F, we have;
F(B-g³) / F = 2/ F
we then have;
B - g³ = 2/F
Now, make 'B' the subject of formula by making all the other terms over the equality sign
We have;
B = 2/ F + g³
Thus, solving for B gives B = 2/ F + g³
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calculate the slope between the two points (2, -7) and (2, 7).
A. zero
B. undefined
C. -4
D. 10
11. Find the measure of ABC. Show your work.
Simplify the variable expression below as much as possible.
3x+ 2y+5-3
Answer here
PLEASE HELP
Answer:
3x+2y+2
Step-by-step explanation:
it's just combining like terms
Gayle biked 2.82 miles on an exercise bike. Lola biked 3.5 times as far as Gayle.
How much farther did Lola bike than Gayle?
Enter your answer in the box.
miles
Answer:
9.87
Step-by-step explanation:
If Gayle only biked 2.82 miles and Lola biked 3.5 TIMES MORE MILES
then you multiply 2.82 by Lola's miles and you get 9.87
How do you write 75.9 in scientific notation?
Answer:
7.59*10^1
Step-by-step explanation:
write the number as a decimal - 75.9
make it a new number thats somewhere between 1&10 by moving the decimal place - 7.59
define the power of 10 -10^1
put them all together! - 7.59*10^1
Find the simple interest.
Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None
The EFFICIENT points of production in the given graph is represented by Point C and Point B , the correct option is option (d).
The given graph is for skateboards vs Bikes .
We need to find the point representing the Efficient Point of Production.
The Production Possibility Curve points are said to be Efficient when the resources are utilized to the fullest , that means the points on the curve represents the point of Efficiency.
In the given Production Possibility Curve between Skateboards and Bikers the point C and Point B are the Efficient point of production .
Therefore , the Efficient points of production in the given curve are represented by Point C and Point B , the correct option is option (d)
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han followed these instructions to make the image
