The student store sells pencils for $0.75 each and erasers for $0.25 each. A student can buy a bundle that consists of 2 pencils and 1 eraser for a $0.50 discount. The table shows the costs for different numbers of bundles.

# of Bundles Cost
12 $15.00
16 $20.00


Is the relationship between the number of bundles purchased and the cost proportional?
Explain how you know using the given table.
Describe what the graph of the relationship would look like.
Enter your answers and your explanation in the space provided.

Answer:

2/3

Step-by-step explanation:

[tex]p( \frac{2}{6} + \frac{2}{6} ) \\ p = \frac{4}{6} \\ = \frac{2}{3} [/tex]

Answer:

C, 85°

Step-by-step explanation:

180° = total angles for a triangle

First, add the known angles.

67 + 28 = 95

Then, subtract

180 - 95 = 85

To check your answer, add all the angles up to see if it equals 180°

67 + 28 + 85 = 180

Have a great day!

Answer:

(-√3/2., -1/2)

Step-by-step explanation:

This is a reflection in the line y = -x.

So x =  1/2 becomes y = -1/2

and y = √3/2  becomes x = -√3/2.

Answer:

whojhuokk

tuhhjhkk

Step-by-step explanation:

kjufig(hgggjkooujjlkhy

The length of arc PR to the nearest hundredth is 7.15 units

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r = PQ = 5 units

theta = <PQR = 82π/180 rad

Substitute to have:

L = 5 * 82π/180 rad

L = 7.15 units

Hence the length of arc PR to the nearest hundredth is 7.15 units

Learn more on length of an arc here; https://brainly.com/question/2005046

Answer: The answer is 7.16.

Answer:

1 : 15

2: 12

3: 52

4: 27.3

Step-by-step explanation:

For #1:

if line m and n are perpendicular then they will create right angles

Right angles have a measure of 90 degrees

That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90

so k = 90 - 75

90 - 75 = 15

Hence k = 15.

For #3 ( very similar to #1, only difference is the values of the angles )

so R = 90 - 38

90 - 38 = 52

Hence, R = 52

For #2 and #4

Complementary angles have a sum of 90°

So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90

∠V = 90 - 78

90 - 78 = 12

Hence ∠V = 12

∠Y = 90 - 62.7

90 - 62.7 = 27.3

Hence ∠Y = 27.3

Answer:

2642.5

Step-by-step explanation:

I'm like 10% sure that's the right answer so I wouldn't put it down on the work if I were you

Answer:

≈2736 mg

Step-by-step explanation:

0.98% = .0098

p = 3500(1 -0.0098)^25

p = 3500(0.9902)^25

p ≈ 2736

Answer:

4

Step-by-step explanation:

I don't know how to explain this other than use a calculator.

Hope that this helps!

Answer:D

hope this helps

Answer:

I'm sorry I don't know ‍♀️

Answer:

b

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc

That being said we want to create an equation to solve for x

The equation would be 7x + 5 = 192/2

We now solve for x

step 1 simplify

192/2=96

now we have 7x + 5 = 96

step 2 subtract 5 from each side

5 - 5 cancels out

96 - 5 = 91

7x = 91

step 3 divide each side by 7

7x/7 = x

91 / 7 = 13

we're left with x = 13

Answer:

Step-by-step explanation:2+1+5=8

78.40/8=9.80

B=5x9.80=49

C=1x9.80=9.80

So B-C=39.20 more

Answer:

5.5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

huh? explain better

Step-by-step explanation:

Answer:

[tex]yes (k) = \frac{1}{9}[/tex]

Answer:

100°

Step-by-step explanation:

is 25% of the circle

Answer:

BC = 100°

Step-by-step explanation:

The chord- chord angle BDC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] ( BC + AE) = 85° ( multiply both sides by 2 to clear the fraction )

BC + AE = 170°

BC + 70° = 170° ( subtract 70° from both sides )

BC = 100°

Answer: 25 kilometers for part A. 12 for part B.

Step-by-step explanation: Teacher told the answer.

Answer:

22 1/4

Step-by-step explanation:

Answer:

22 4/16

Step-by-step explanation:

you obviously must take the Lancaster to Lamberry path which is 9 1/16 but going the other way would add a whole mile to your trip

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

Answer:

Step-by-step explanation:

You have the right answer

========================================================

Work Shown:

p = number of items sold

855 = cost per item

855p = total revenue = total amount of money earned

6780 = total expenses

profit = revenue - expenses = 855p - 6780

profit = 855p - 6780

------------------

Now plug in p = 250

profit = 855p - 6780

profit = 855*250 - 6780

profit = 213,750 - 6,780

profit = 206,970 dollars

This is the profit the company makes in one month if p = 250 items are sold.

The CEO earns 15% of this profit, so,

15% of 206,970 = 0.15*(206,970) = 31,045.50

The CEO earns $31,045.50

Answer:

X = 7

Step-by-step explanation:

if y is one and and x is getting subtracted by 8 what’s 8 minus 1

Answer:

I agree with Noah's Method because following PEMDAS you have to do exponents first. 10^3 is 1000 and then you can add the 20. Jada's method is incorrect because you cannot add the two together.

Answer: 144

Step-by-step explanation:

The binomial is  [tex]\left( 4x+3y\right)^3[/tex]

The expansion of [tex]\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots[/tex]

Expansion of [tex]\left( 4x+3y\right)^3[/tex]

[tex]\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3[/tex]

So, the second term is

[tex]\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1[/tex]

Its Coefficient is

[tex]\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144[/tex]

5/7 is 5÷7

so

5÷7 = 0.7142857143

Step-by-step explanation:

C.P=5×1=Rs.5

S.P.=4×1=Rs.4

Loss=C.P.=S.P.

=Rs.5-Rs.4

=Re.1

loss%=loss/C.P ×100

=1/5×100%

=20%

Answer:

the answer is d

Step-by-step explanation:

brainliest pls

Answer:

It's B or D, but I think D.

Step-by-step explanation: