Answer:
23 dollars.
Step-by-step explanation:
She spent a total of 174 - 13 = 161 dollars.
So, the cost of each book = 161/7
= 23 dollars.
Zoe and Mackenzie are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Zoe is 249 miles away from the stadium and Mackenzie is 237 miles away from the stadium. Zoe is driving along the highway at a speed of 58 miles per hour and Mackenzie is driving at speed of 55 miles per hour. Let ZZ represent Zoe's distance, in miles, away from the stadium tt hours after noon. Let MM represent Mackenzie's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine whether Zoe or Mackenzie is closer to the stadium 2 hours after noon.
According to the question, the given data are as follows:
Zoe’s distance = ZZ(miles); Stadium time = tt (hours); Mackenzie’s distance = MM(miles)
Distance between Zoe and stadium = 249 miles
Distance between Mackenzie and stadium = 237 miles
Zoe speed = 58 miles per hour
Mackenzie speed = 55 miles per hour
Time = 2 hours
Using standard distance formula:
Distance = (speed)(time)
As per relative speed, distance gets added and speed gets subtracted when objects are away or parallel from each other.
ZZ = 249 -58tt
MM = 237 -55tt
When both are at the same distance, the time will be t = 4 hours
249 -58tt = 237 -55tt
tt = 4 hours
What is distance?
Distance can be defined as the resultant displacement between two points. It can be calculated in different units like kilometers, meters, miles etc. Based on direction, the distance formulas change.
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A skee ball game with 1 50 point hole, 1 40 point hole, 1 30 point hole, 1 20 point hole, 1 10 point hole, and 2 100 point holes. Consider the probability of landing in the 40-point hole to complete these sentences. If the size of the 40-point hole is enlarged, the probability . If the 40-point hole is made smaller, the probability . If the 40-point hole stays the same size, but the scoring zone is made smaller, the probability .
The probability will:
a) Increase.
b) decrease.
c) increase.
How does the probability change?We know that as larger is the size (or the diameter at least) of the hole, the easier will be to lading the skee ball on that hole.
So "If the size of the 40-point hole is enlarged, the probability... "
If you increase the size, then it will be easier to land the ball, thus we can conclude that the probability will increase.
" If the 40-point hole is made smaller, the probability..."
Opposite as the case above, this time will be harder to land the ball, thus the probability will decrease.
"If the 40-point hole stays the same size, but the scoring zone is made smaller, the probability..."
If the ball is thrown in a random way, such that the probability of landing in any region of the scoring zone is the same, then the probability of landing on the 40-point hole is equal to the quotient between the area of the hole and the total area of the scoring zone.
Thus, is you decrease the area of the scoring zone, then the probability increases.
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Answer: The probability will:
a) Increase.
b) decrease.
c) increase.
2. 8 × - 11 - 3× + 8
please solve this thankyou!!
Answer:
-54.8 ( in fraction -274/5)Step-by-step explanation:
2.8 × (-11) - 3 × 8 =
-30.8 - 24 =
-54.8 ( in fraction -274/5)
Use the locus definition of a circle and dilations to prove that all circles are similar.
We have proved that all circles are similar.
It is given that there are some circles.
We have to prove that all circles are similar.
What is the locus of a circle ?
The locus of a circle is the set of points on a plane at the same distance from the center point.
As per the question ;
We have to prove that all circles are similar.
We know that ;
A circle is a geometric shape in which the outside points are all equidistant from a center point.
Let's assume there are two circles and the radius of circle A is a and circle B is b .
If we center the circles on the same point, we found that by multiplying the radius of Circle B which is b by an unknown value x will give the radius of Circle A which is a.
and
The scale factor will be ;
bx = a
or
x = a / b
We know that dilation makes the shape bigger or smaller.
So , we have satisfied the definition of similarity and we can conclude Circle A is similar to Circle B.
and
This can also be considered for all circles and thus it states that all circles are similar.
Thus , we have proved that all circles are similar.
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Energy and mass are related by the formula, e=mc2, where m is the mass of the object and c is the speed of light. the equation that finds m, given e and c, is
Energy and mass are related by the formula, E = mc², where m is the mass of the object and c is the speed of light. The equation that finds m, given e and c, is: m = E/c²
The equation, E = mc² was coined from Albert Einstein's theory of relativity, which shows the relationship between mass and energy. It shows that energy and mass can be interchanged into each other. The equation tells us that if we multiply the mass of a body (m) with the square of the speed of light (c²), we will get the total amount of energy (E) contained in that body, which can potentially be converted to other forms of energy.
However, if are given the energy contained in a body and the speed of light, then told to find the mass of the body, we will divide the equation by the coefficient of m. The coefficient of m in the equation is c², thus:
E = mc²
E/c² = mc²/c²
c² divided by c² is 1, therefore, the new equation is:
m = E/c²
Thus, the equation that finds m, given e and c is m = E/c².
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Apply
10. Fouster's Farms has 5^3fruit trees on their land. Myrna's Farms has five
times as many fruit trees as Fouster's. A commercial farm has 500 fruit
trees. Which farm has the most fruit trees?
Answer:
Myrna's Farms
Step-by-step explanation:
Fouster's Farms has 5^3 = 5 x 5 x 5 = 125 fruit trees
Myrna's Farms has 5x times this many trees = 5 x 125 = 625
commercial farm has 500 fruit trees
So Myrna's Farms has the most trees = 625
Use the net to calculate the surface area of
the polyhedron.
The total area of given polyhedron is 68.75 sq. units
The given polyhedron is made up of 1 square, 2 triangles, and 2 rectangles.
Firstly. the dimensions of triangle are -
base = 2.5 units,
height = 3.5 units
area of the triangle = 1/2 × B × H
= 1/2 × 2.5 × 3.5
= 4.375 sq. units
The area of 2 triangles will be - 2 (area of 1 triangle)
⇒ 2× 4.375
= 8.75 sq. units
Area of Rectangle 1 = L × B
Length = 5 units
Breadth = 3 units
Area = 5×3 = 15 sq. units
Area of Rectangle 2 = L × B
Length = 5 units
Breadth = 4 units
Area = 20 sq. units
Area of square = Side²
⇒ 5 × 5
= 25 sq. units
Total area of polyhedron = Area of 2 triangles + Area of 2 Rectangles + Area of square
⇒ 8.75 + 15 + 20 + 25
= 68.75 sq. units
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kinetic equation problem
Use the kinematic formula
[tex]{v_2}^2 - {v_1}^2 = 2a\Delta x[/tex]
where [tex]v_1,v_2[/tex] are initial/final velocities, [tex]a[/tex] is acceleration, and [tex]\Delta x[/tex] is displacement. We're given [tex]a=-5.00\frac{\rm m}{\rm s^2}[/tex] and [tex]\Delta x=15.0\,\rm m[/tex], and the car comes to a stop so [tex]v_2=0[/tex]. Solve for [tex]v_1[/tex].
[tex]-{v_1}^2 = 2\left(-5.00\dfrac{\rm m}{\rm s^2}\right) (15.0\,\mathrm m) \\\\ ~~~~ \implies {v_1}^2 = 150.\dfrac{\rm m^2}{\rm s^2} \\\\ ~~~~ \implies v_1 = \sqrt{150.\dfrac{\rm m^2}{\rm s^2}} \approx \boxed{12.2 \dfrac{\rm m}{\rm s}}[/tex]
Find the value of x to the nearest tenth. 336.4/x = π
x = 107.1 is the value of x.
What do we mean by a value?In mathematics, a value is a number that represents the outcome of a calculation or function. So, in the preceding example, you could tell your teacher that the value of 5 x 6 is 30 or that the value of x + y is 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.To find the value of x:
Given: 336.4/x = πTo find the value of x, we will simplify the given equation after we have entered the value of π.So,
336.4/x = π336.4/x = 3.14159336.4/3.14159 = xx = 107.07953Then rounding to the nearest tenths gives x = 107.1.
Therefore, x = 107.1 is the value of x.
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1. calculate the angles marked with letters
Answer: [tex]a=110^{\circ}[/tex]
Step-by-step explanation:
By the exterior angle theorem,
[tex]a+15^{\circ}=125^{\circ}\\\\a=110^{\circ}[/tex]
give the coordinates of one point in the solution set.
Answer:
Point (0, 0) satisfies the inequalities
Step-by-step explanation:
Sometimes graphing is the best way to determine where the region is that satisfies both inequalities. Then you can choose a point accordingly
The graph of both inequalities is attached. The heavily shaded region in blue represents the region that satisfies both inequalities
If you look at the graph, you can see that (0, 0) falls in the heavily shaded region and therefore it satisfies both constraints
Indeed at (0, 0)
7(0) + 2(0) = 0 which is > -4 since 0 is greater than all negative numbers
Also
-5(0) + 6(0) = 0 which is indeed ≤ 6
So one point is (0, 0)
If a tourist paid Rs. 5610 for a carved window made of wood with a discount of 15% including 10% value added tax, how much does he get back while leaving Nepal? Find it.
Answer:
3/2
Step-by-step explanation:
15% × 10( use p%)
15/100 × 10 (simplify the expression)
15/10 (reduce the expression)
3/2(Solution)
A line contains L(-4, -4) and M(2, 3). Line q is in the same coordinate plane but does not intersect IM. Line q contains point N. (Can someone please look at the picture and help me)
The line q passes through (2, 0) and (-7, -4)
How to find line LM?If line Q does not intersect the line LM, then these lines are parallel, thus, have the same slope.
The slope of line LM is given by:
s = (3 + 4)/(2 + 4) = 7/6
Now we know that the line Q contains point N (2, 0) ( i will assume is this because in the image the points don't have the correspondent names).
Then the line also passes through another point (a, b) such that:
s = (0 - b)/(2 - a) = 7/6
Then:
b = -7
a = -4
The line q passes through (2, 0) and (-7, -4)
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It took Brooke 14 hours to paint
5 rooms. At that rate. how many
Minutes did it take her to paint
one room?
Under unitary method - 168Minutes did it take her to paint one room
If it took 14 hours to paint 5 rooms and we need to find how many
Minutes did it take her to paint one room, we need to know how much time taken to paint a room
this can be obtained using unitary method
so time taken to paint one room is time taken to paint 5 rooms divided by number of rooms
= 14 hours /5
=2.8 hours
As we need answer in unitary method minutes we are required to convert hours into minutes which can be done by multiplying with the number of minutes in an hour that is 60
Minutes did it take her to paint one room = 2.8 hours × 60
=168 minutes
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Given two terms of each arithmetic sequence, find a₁ and d . a₃ =5 and a₅ =11
The two terms of each arithmetic sequence an=a1+(n-1)d are 2,7,12,17,..., 52.
What is sequence?an=a1+(n-1)d
a1=2
a2=2+5=7
a3=7+5=12
a4=12+5=17
a11=2+(11-1)*5=2+10*5=2+50=52
so terms are 2,7,12,17,..., 52
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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The conditions for a triangle are a right angle
between a side length of 3 and a side length of 4.
Do the triangles at the right show that the
conditions result in more than one triangle?
Explain why or why not.
YES ,The condition can result in more than one triangle.
WHAT ARE RULE OF SIDE OF A TRIANGLES ?We may comprehend the characteristics of this shape by using triangle laws and theorems. Triangles have a variety of geometric principles because they are one of the fundamental components of trigonometry. These assist us in separating right triangles from isosceles and equilateral triangles, among other things.
According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side. See the acute triangle's side lengths below. The two shortest sides, 6 and 7, add up to a total length of 13. That measurement exceeds the longest side's length of eight.
CALCULATIONYES ,The condition can result in more than one triangle because as rule of side of triangle largest side is more than other to sides would if two sides a given from multiple triangle by changing their angles
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The system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?
Four-thirds x = 42
Fifteen-halves y = 33
0 = 0
I will give Brainliest to whomever answers this question quickly but CORRECTLY!!!!
An equation that could represent a linear combination of the system with no solution is: B) 0 = 26.
What is no solution?In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.
From the information provided above, we have this system of equations:
2x/3 + 5y/2 = 15 ........equation 1
4x + 15y = 12 ........equation 2
Multiplying equation 1 by 6, we have:
6 × (2x/3 + 5y/2 = 15)
4x + 15y = 90 ......equation 3
Subtracting the equation 3 from equation 2, we have:
(4x - 4x) + (15y - 15y) = (12 - 90)
0 + 0 = -78
0 = -78 ≡ 0 = 26.
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Complete question:
The system of equations below has no solution.
2x/3 + 5y/2 = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
A) 4/3x=42
B) 0 = 26
C) 15/2y=33
D) 0=0
What is 22 1/2 divided by 1/2?
(Twenty-two wholes & one-half DIVIDED BY one-half?)
What is the rate of return when 25 shares of Stock
A, purchased for $30/share, are sold for $825? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Answer:
Based on the information given the rate of return is 10.8%.
First step is to find the shares of stock price:
Shares of stock price=25 shares×$30/share
Shares of stock price= $750
Second step is to calculate the total sold price:
Total sold price= $825+$6
Total sold price= $831
Third step is to calculate the Rate of return:
Rate of return=$831-750/$750×100
Rate of return=$81/$750×100
Rate of return=10.8%
Inconclusion the rate of return is 10.8%.
Explain whether the Federal Reserve reducing interest rates helps to expand economic growth. (1 point) Responses
1. Reducing interest rates does not help the economy expand because prices of goods and services decrease from reduced demand.
2. Reducing interest rates does not help the economy expand because businesses save instead of spend with low-interest rates, slowing economic growth.
3. Reducing interest rates helps the economy expand because it lowers the cost of borrowing for business to expand, leading to more jobs and economic growth.
4. Reducing interest rates helps the economy expand because businesses earn a greater return on their savings, leading to additional spending and economic growth.
Answer:Lowering rates makes borrowing money cheaper. This encourages consumer and business spending and investment and can boost asset prices. Lowering rates, however, can also lead to problems such as inflation and liquidity traps, which undermine the effectiveness of low rates.
Step-by-step explanation:
Answer:
1. A sole proprietorship is distinguished by the fact that it has
Answer - only one owner.
2. James would like to create a sole proprietorship operating under the name Super Lawn Care. Which of the following is true?
Answer - James will need to register the business with his local state as the name of his business differs from his own.
3. A recent high school graduate would like to establish an online tutoring service as a sole proprietorship operating under her own name. Having never worked before and having no current income, which of the following hurdles is she likely to face?
Answer - It will be difficult to cover start-up costs since banks will be unlikely to loan her money.
4. What is a subsidy?
Answer - a government payment to a business to generate employment and economic growth
5. Explain whether the Federal Reserve reducing interest rates helps to expand economic growth.
Answer - Reducing interest rates helps the economy expand because it lowers the cost of borrowing for business to expand, leading to more jobs and economic growth.
Step-by-step explanation: I just took the test and got it right
anyone please help me this
Determine whether y varies directly with x . If so, find the constant of variation.
y-6 x=0
The required value of constant of variation, k for which x and y vary directly is 6.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given relation is y - 6x = 0
y = 6x
On comparing it with equation 1, we get,
k = 6
Hence, the required value of constant of variation is 6.
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Do the following side lengths form a right triangle?
15, 15, 35
Answer:No
Step-by-step explanation:
It does not
Answer:
No
Step-by-step explanation:
given 3 sides of a triangle
using the converse of Pythagoras' identity
if the square of the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 35 and 35² = 1225 , then
15² + 15² = 225 + 225 = 450
since 1225 ≠ 450 then the 3 sides do not form a right triangle.
Write each arithmetic series in summation notation. 105+97+89+ . . . . . . +(-71)
The algebraic expression or sigma (summation) notation is given by:
∑ = 22(105 - 71)/2
And its value is ∑ = 374
What is sigma notation?The sigma notation is a mathematical operation used to determine the final value of the sum of "n" terms consecutively, when dealing only with numbers without variables this is known as an arithmetic series.
The equation for this type of problem is:
∑ = n(a1 + an)/2
n : number of termsa1 : first terman : last termOur values are:
105+97+89+ . . . . . . +(-71)
a1 =105an = -71n = 22∑ = 22(105 - 71)/2
∑ = 22(34)/2 = 11(34)
∑ = 374
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2 (-8 - 7) ÷ 3(5)
explain please
Answer:
-50
Step-by-step explanation:
2(−8−7)
3
(5)
=
(2)(−15)
3
(5)
=
−30
3
(5)
=(−10)(5)
=−50
Aquaman dove 8 meters below sea level after taking a break he dove another 4 meters below the sea level.
Answer:
12 meters below sea level?
Step-by-step explanation:
Not entirely sure if that is what the question is asking...
Answer: -12 meters
Step-by-step explanation:
umm lol
Can yall help me with this
Answer:
3
Step-by-step explanation:
Write an equation of the line through each pair of points. Use point-slope form.
(3/2, -1/2) and (-2/3, 1/3)
The equation of the line in point-slope form, which passes through the pair of points located at (3/2 , -1/2) and (-2/3 , 1/3), is y + 1/2 = -5/13(x - 3/2).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (3/2 , -1/2) and (-2/3 , 1/3).
m = (y2 - y1)/(x2 - x1)
m = (1/3 - -1/2)/(-2/3 - 3/2)
m = (5/6)/(-13/6)
m = -5/13
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = -5/13 and (x1 , y1) = (3/2 , -1/2)
(y - -1/2) = -5/13(x - 3/2)
y + 1/2 = -5/13(x - 3/2)
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Find the exact circumference of circle by using the given polygon.
a. inscribed right triangle with legs 7 meters and 3 meters long
The distance round a polygon, which include a rectangular or a rectangle, is referred to as the perimeter (P). On the alternative hand, the space round a circle is called the circumference (C). Therefore, the circumference of a circle is the linear distance of an fringe of the circle.
What is the formula here we use to calculate the equation:
[tex]c^{2} =a^{2} +b^{2}[/tex]
Find the solution:
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]x^{2} =7^{2} +3^{2}[/tex]
[tex]\sqrt{x} ^{2} =49+9[/tex]
[tex]x=\sqrt58[/tex]
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the rectangle shown has an area of 84 square inches. find the dimensions of the rectangle
Answer:
x(x+8)=84
x² + 8x = 84
x² + 8x - 84 = 0
(x+14) (x-6) = 0
x= -14 or 6
Perimeter = 40 in.
