The amount a tutor is compensated for one-hour individual or group
tutoring sessions is shown in the table. The relationship between
compensation and number of sessions is linear.
Sessions
1
2
3
4
5
39.50
69.00
98.50
128.00 157.50
Group ($)
Individual ($)
29.50
49.00
68.50
88.00
107.50
a. Find the rate of change and the initial value for the group sessions.
b. Find the rate of change and the initial value for individual sessions.
c. Compare and contrast the rates of change and initial value.

Answer:

if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.

Answer:

$15

Step-by-step explanation:

If 2 pounds of grapes cost $6, then one pound of grapes would be $3, because 6 divided by 2 (because there is two pounds) would equal 3. 5 pounds of grapes would cost $15 because 3+3+3+3+3 (or 5 x 3) is equal to 15.

Answer:

4.625

Step-by-step explanation:

that is the answer

Answer:

true

Step-by-step explanation:

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Step-by-step explanation:

First one on the left = Second one on the right

Second one on the left = First one on the right

Third one on the left = Third one on the right

Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x

2

=

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x

=

±

√

16

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

4

,

−

4

Exclude the solutions that do not make

x

2

x

−

4

=

16

x

−

4

true.

x

=

−

4

Step-by-step explanation:

Answer:

edfsefesfwefwefwf

Step-by-step explanation:

fwefewfweefwefwefwefewfwefwefwefwef

Answer:

Percent is always out of 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

b is 42

hope that helpssss

Answer:

30x-6-6x-30

30x-30x-6-6

0-12

-12

Answer:

I believe its 3.75

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

6.25×60% = 3.75

3.75+6.25 = 10

$10

Answer:

(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]

Step-by-step explanation:

Given

[tex]x^4 * (-y)^4[/tex]

Required

Select and equivalent expression

[tex]A.\ (xy)^4[/tex]     [tex]B.\ (-xy)^4[/tex]   [tex]C.\ -(xy)^4[/tex]    [tex]D.\ (x-y)^4[/tex]

[tex]x^4 * (-y)^4[/tex]

Apply law of indices:

[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]

This gives:

[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]

[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]

x and y have the same exponent; So, they can be expressed as:

[tex]x^4 * (-y)^4 = (x*y)^4[/tex]

[tex]x^4 * (-y)^4 = (xy)^4[/tex]

Answer:

x=30

Step-by-step explanation:

-8/5 - 6 = -54

-8x/5 - 6 = -54

-8x/5 −  6 +6 = -54 plus 6

Then Add the numbers and simplify

so then the answer would be x=30

Answer: x=30

Step-by-step explanation:

Answer:

3.66666666667

Step-by-step explanatio

Answer:

It's equal to two "ones" ;v;

Step-by-step explanation:

The 8 is 80 "Tens", the 2 is 2 "ones" and the 6 is 6 tenths

Answer:

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

[tex]Ratio = \frac{2}{7}[/tex]

Multiply through by 2

[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]

Multiply through by 3

[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]

Multiply through by 5

[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]

Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]

[tex]Ratio = 3\ to\ 7[/tex]

Multiply by 3

[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]

[tex]Ratio = 4.5\ to\ 10.5[/tex]

Multiply by 4

[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]

[tex]Ratio = 6\ to\ 14[/tex]

Hence, the equivalents are:  3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]

[tex]Ratio = 1.25\ to\ 0.25[/tex]

Multiply by 2

[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]

[tex]Ratio = 12.5\ to\ 2.5[/tex]

Multiply by 4

[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]

[tex]Ratio = 25\ to\ 5[/tex]

Hence, the equivalents are:  1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

[tex]Ratio = 3 : 3\frac{1}{2}[/tex]

Multiply by 2

[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]

[tex]Ratio = 6: 7[/tex]

Multiply by 4

[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]

[tex]Ratio = 12: 14[/tex]

Multiply by 6

[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]

[tex]Ratio = 18: 21[/tex]

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]

Convert mixed fraction to improper fraction

[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]

Multiply by 2

[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]

[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]

Multiply by 3

[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]

[tex]Ratio = 5 : \frac{15}{4}[/tex]

Multiply by 12

[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]

[tex]Ratio = 20 : 15[/tex]

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

Answer:

maybe 9

Step-by-step explanation:

Answer: the awnser is B

Answer:

7

Step-by-step explanation:

3x8-3x3+2

24-3x3+2

24-9+2

15+2

=17

Answer:

7:13

Step-by-step explanation: The ratio of mittens is 7 and the ratio of the total items (including the hats) would be 13, because 6+7=13. Therefore, the ratio of mittens to the total would be 7:13. Hope this helps ^-^.

Answer:

Step-by-step explanation:

A = P + I

Putting values in the equation

4500 = 3750 + I

4500 / 3750 = I

1.2 = I

Answer:

I=750

Step-by-step explanation:

soln ,

here ,

A=4500

P=3750

I=?

Now,

A=P+I

or,4500=3750+I

or,I=4500-3750

•°•I=750

hope this helps^-^

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

Question:

You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?

Answer:

[tex]Probability = 0.262144[/tex]

Step-by-step explanation:

Represent the probability of winning with P(Win)

[tex]P(Win) = 20\%[/tex]

Required

Determine the probability of not winning 6 games

First, we calculate the probability of not winning a game.

Opposite probability add up to 1.

So, we have:

[tex]P(Win) + P(Lose) = 1[/tex]

[tex]P(Lose) = 1 - P(Win)[/tex]

[tex]P(Lose) = 1 - 20\%[/tex]

[tex]P(Lose) = 100\% - 20\%[/tex]

[tex]P(Lose) = 80\%[/tex]

The sample space of losing 6 games is:

Lose Lose Lose Lose Lose Lose

Therefore, the probability is:

[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]

[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]

[tex]Probability = 0.262144[/tex]

Answer: