2. Sara started out with $50 in her piggy bank. Every week she deposited the same amount of
money in the bank. After 7 weeks she had $67.50. Find the average rate of change or slope
in dollars per week. (This is a unit rate.)

Answers

Answer 1

Answer:  2.5 dollars/week

Step-by-step explanation:

50 + 7x = 67.50               x is the cost she deposited every week

7x = 17.5

x = 2.5


Related Questions

you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup

Answers

Answer:

Step-by-step explanation:

7 David spent 2 2/5 hours reading on Saturday night. On Sunday, he spent 3 1/5 hours reading. How much time did he spending reading on Saturday and Sunday?* (10 Points) O 54/5 hours A 5 3/5 hours 6 hours 075/5 hours Next​

Answers

Answer:

5 and 3/5

Step-by-step explanation:

For this problem, they are asking that we basically sum up the total amount of reading time on Saturday and Sunday. Saturday's reading time is 2 and 2/5, while Sunday's reading time is 3 and 1/5. Add them together to get 5 and 3/5.

It says if (3,-4) is a point in the terminal side of the angle 0 which one of the following statements is not true
A sin 0= -4/5
B cos 0=3/5
C tan 0=-4/3
D sec 0=5/-4

Answers

C i just took the test

Find the sum: (n + 7) + (n - 14)

Answers

Answer:

2n - 7

Step-by-step explanation:

To get the sum you would combine like terms.

So:

n + n= 2n

7 + -14 = 7 - 14 = -7

Put it together:

2n - 7

Write 9/12 as a sum of unit fractions.

Answers

Answer:

9/12 = 1/2 + 1/4

Step-by-step explanation:

This can be done in an unlimited number of ways. Which you choose depends on what you are trying to achieve. Each way will get you the same sum. <33

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5

Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4

“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.



Explain how you know that a system of equations has no solution.




Explain how you know that a system of equations has an infinite number of solutions.

Answers

Answer:

Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.

A survey of randomly selected visitors to a mall yielded the following data:



Approved new design for the seating in the food court

Number surveyed

Male

155

254

Female

157

301

Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve the design plan for the seating area in the food court is higher for men than it is for women at the 5% level?

a) Reject the null concluding that there is evidence the proportion is higher for men.


b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.


c) Do not reject the null hypothesis concluding that there is evidence that the proportion is higher for men.


d) Reject the null concluding that there is evidence the proportion is higher for women.


e) Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.

Answers

Answer:

The answer is A

Step-by-step explanation:

Reject the null concluding that there is evidence the proportion is higher for men.

Using the z-distribution, as we are working with proportions, it is found that the correct option is:

b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportions are the same, that is:

[tex]H_0: p_M - p_W = 0[/tex]

At the alternative hypothesis, it is tested if it is higher for men, that is:

[tex]H_1: p_M - p_W > 0[/tex]

What is the distribution of the difference of proportions?

For each sample, we have that:

[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]

[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]

Then, for the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]

[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis, hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0886 - 0}{0.042}[/tex]

[tex]z = 2.11[/tex]

What is the decision?

Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/26454209

What is the product of 2 and 2 square foot 80

Answers

Answer:

35.7 I believe

Step-by-step explanation:

Help a friend in need

Answers

a) 4.71ft

b) 3.53ft^2

Step-by-step explanation:

Perimeter is 1/2 the circumference

1/2 Circumference = 2*pi*radius

Radius = 1/2 Diameter

Radius = 3/2 = 1.5ft

Circumference = 2*pi*1.5ft = 9.42

1/2 Circumference = 4.71

4.71ft is the perimeter.

The area is 1/2 that of a full circle

A = pi*r^2

A = 3.14*1.5*1.5

A = 7.065ft^2

1/2 A = 3.53ft^2

HELP ITS OVERDUEEE PLEASE PLEASE PLEASE ILL LOVE YOU FOREVER. Suppose that a movie is being filmed. An action shot requires an object to be thrown upward with an initial velocity of 48 feet per second off the top of the plaza, a height of 640 feet. The height h(t) in feet of the object after t seconds is given by the function h(t) = – 16t2 + 48t + 640. Determine how long before the object strikes the ground. (Hint: Let the height,
h(t), be 0 and solve for t.)

Answers

Answer:

the height of the object is  and the height at 6 seconds is .

b. the height of the object increases and then decreases.

c. -16(t - 9) (t +4)

i really really really hope this helps

Help me guys please :(

Answers

the last one

hope this helps :)

What is the measure of Angle

Answers

ΔM = 117°------------------------------

Step-by-step explanation:

ΔM + 63° = 180° ------ ( angle sum property )

ΔM = 180° - 63°

ΔM = 117°

------------------------------FOLLOW ME
The concept of angle
There are two commonly used units of measurement for angles. The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°. ... Each degree is divided into 60 equal parts called minutes

From a fifth grader

PLEASE HELP HELP HELP IMAGE ATTAcHED

Answers

Answer:

is 3

Step-by-step explanation:

because look at the down the trigal and you will see that they pointing at the tree

Answer:

3

Step-by-step explanation:

P(1, 3) ⇒ P'(3, 9)

R(1, 1) ⇒ R'(3, 3)

Q(3, 1) ⇒ Q'(9, 3)

Looking at the points, it appears that the x and y coordinates are being multiplied by 3. Therefore, the scale factor is 3.

Evaluate 2a-b for a=2 and b=3.

Answers

Answer:

1

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest.

Answers

Answer:

The answer will be 41/14

Step-by-step explanation:

2.928571429

What is the equation for this line, in Slope Intercept Form (6,1) and (2,-1)

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(2-6)

m=-2/-4

m=1/2

y-y1=m(x-x1)

y-1=1/2(x-6)

y=1/2x-6/2+1

y=1/2x-3+1

y=1/2x-2

Giving 13 points!! Help help help

Answers

Answer:

a. 15

b. 27

c. 4

d. 72

e. 2

Step-by-step explanation:

If you need an explanation lmk! happy to help.

24. On the coordinate plane to the right, graph
the inequality 2x +y >1.
Help fast pls

Answers

I have no idea what this answer is sorry

do your thing lilly, your awesome!

Answers

Answer:

8. 12.8

9. 400

Step-by-step explanation:

8. look at it like a square with a rectangle cut out of it, 4*4 = 16, the rectangle needs a base and to find that base 1.5+0.9 = 2.4, 4-2.4 = 1.6, 1.6*2 = 3.2, 16-3.2 = 12.8

9. look at it like a trapezoid with a triangle cut out of it, add the to bases 14+32 = 46, 46*20 = 920 divided by 2 which is 460, and then area subtract the triangle 12*10 = 120 divided by 2 which is 60, so 460-60 = 400

hey I could use some help!​

Answers

Answer:

b is the right answer

Step-by-step explanation:

D is the right answer yup :)

8y-5< 3


Solve the inequality. The solution is _____.

Answers

Answer:

Use Photo Math, it will explain all of the steps

Which fraction is equivalent to the whole number 8?
A.1/8
B.2/10
C.12/8
D.16/2

Answers

Answer:

D: 16/2

Step-by-step explanation:

you take 16 and divide it by 2 making your answer 8

PART B—- Find the surface area of the figure. PLEASE HELP!!
Just part b!

Answers

Answer:

24 ft^2

Step-by-step explanation:

Surface area is the total area on the surface of the figure.

One side of the cube is 4 ft^2 (2ft*2ft)

there are 6 sides.

4ft^2 * 6 sides is 24 ft^2

6TH grade math please help AP EX

Answers

Answer:

I think the 1st one would be 10...

Step-by-step explanation:

Because 12-2=10 and 18-8=10.

If I'm wrong, im super sorry

Triangle XYZ is reflected across the y-axis, and X = (4, –5). What are the coordinates of X’ ?
(–5, 4)
(–4, –5)
(4, 5)
(–4, 5)

Answers

Answer:B

Step-by-step explanation:I looked it up, I don’t copy people’s answers ok don’t flame me in comments.

The coordinates of X in triangle XYZ after reflection across the y axis is X' = (-4, -5)

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation

If a point A(x, y) is reflected over the line y axis, the new point is at A'(-x, y).

Triangle XYZ is reflected across the y-axis, and X = (4, –5). Hence X' = (-4, -5)

Find out more on Transformation at: brainly.com/question/1462871

Which expression represents the distance between -3 and 5 on the number line?
- 3+5
-3-5
1-3+51
1-3-51

Answers

The expression that represents the distance between -3 and 5 on the number line is “-3-5”.

Answer:

B

Step-by-step explanation:

5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm

Answers

Answer:

The answer is D.

Step:

6*5*12=360

The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?

Answers

Answer:

4

Step-by-step explanation:

The general equation circle is

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

Where r is the radius

Plug in the equation

[tex] {x}^{2} + {y}^{2} = 16[/tex]

Take the sqr root of 16 tocfind the radius

[tex] \sqrt{16} = 4[/tex]

What is the area of the base of the figure
48
45
30
24

Answers

i believe the area is 48 if it's not correct sorry

Logx(x-3)=1 solve for x

Answers

Answer: x = 0.41092426, 4.5252265
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