A physical therapy student is adding up the cost of books for the first three semesters of school. The first semester he spent $400, the second semester he spent $515, and the third semester he spent $620. What on average has he spent on books per year?

Answer:

The measure of angle B is 68° and the measure of angle C is 22°

Slope is 38

explanation:

(6,20),(5,-18)

-18 - 20 = -38

5 - 6= -1

simplify

38/1 = 38

Answer:

Length of the pantry = 5 feet

Step-by-step explanation:

Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry.

Step 1

Area of Camille's kitchen = 8(Area of Camille's pantry)

Area of Camilla kitchen = 80 square feet

80 square feet = 8(Area of Camille's pantry)

Area of Camille's pantry = 80 square feet/8

Therefore:

Area of Camille's pantry = 10 square feet

Step 2

If the pantry is 2 feet wide, what is the length of the pantry?

The shape of the pantry is rectangular hence:

The area of the pantry = Length × Width

Area of the pantry = 10 square feet

Width = 2 feet

Length = Area of the pantry/Width

Length = 10 square feet/2 feet

Length = 5 feet

Answer:

D) 12x^2+2

Step-by-step explanation:

As we are dealing with composite functions, the rule is that f(g(x)) means whatever the value of g(x) is, we substitute that value for x in f(x):

[tex]f(x)=3x^2+2\\g(x)=2x\\f(g(x))=3(2x)^2+2\\f(g(x))=3(4x^2)+2\\f(g(x))=12x^2+2[/tex]

So, f(g(x))=12x^2+2, making D the right answer

Answer:

the answer is the third possible answer

Answer:

11.6 miles

Step-by-step explanation:

Given that:

Distance from J2 to J3 = 8.7 miles

Distance between J1 and J2 = 1/3 of J2 toJ3

Hence, distance between J1 and J2 becomes :

1/3 * 8.7 miles = 2.9 miles

Distance from J1 to J3 equals :

(J1 to J2) + (J2 to J3)

2.9 miles + 8.7 miles

= 11.6 miles

Answer:

10.5 peices!

Step-by-step explanation:

7 divided by 2/3

Answer:

10 1/2

Step-by-step explanation:

you just need to divide 7 by 2/3

C

Step-by-step explanation:

just always pick c you understand right

The answer to this question is B, you already ate 15 so you'll add 15 onto the total you'll need to eat.

Answer:

D to E is apparently 104 degrees , G looks like it has the same measurements , so the unknown measurements will be 74 degrees,

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

10x12x8 is 960

Answe

um

Step-by-step explanation:

Answer: 48ft

Step-by-step explanation:

multiply the 12 and the 4...

Answer:

12 times 4

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5x+62=3x+47+37

5x+62=3x+84

2x=22

x=11

Answer:

B. CT+TA=RM+MA

Step-by-step explanation:

Answer:

6.3 x 105 = 661.5

1.2 x 103 = 123.6

Answer:

1. 661.5

2. 123.6

these are the correct answers to this question

Answer:

58

Step-by-step explanation:

For every triangle, all angles add up to 180. So you have to subtract 64 from 180 which gives you 116. You then take that number and divide it by two because there are two base angles, which gives you 58. The answer is 58.

Answer:

10,1 and 1,11

Step-by-step explanation:

I'm guessing at what outliers are

In the figure below, m || h hence y is 25° and z is 107°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

So, (3y + 32)° + 73° = 180°, as pair of the corresponding exterior and interior angle form 180°.

(3y + 32)° + 73° = 180°.

3y + 105° = 180°.

3y = 180° - 105°.

3y = 75°.

y = 25°.

We also know that vertically opposite angles are equal,

∴ (3y + 32)° = z°.

75° + 32° = z°.

z° = 107°.

learn more about transversal lines here :

https://brainly.com/question/17432060

#SPJ2

Answer:

[tex]Boys = 81[/tex]

Step-by-step explanation:

Given

[tex]Boys : Girls = 9 : 8[/tex]

[tex]Girls = 72[/tex]

Required

Find the number of boys

Substitute 72 for girls in [tex]Boys : Girls = 9 : 8[/tex]

[tex]Boys : 72 = 9 : 8[/tex]

Convert ratio to fraction

[tex]\frac{Boys}{72} = \frac{9}{8}[/tex]

Multiply both sides by 72

[tex]72 * \frac{Boys}{72} = \frac{9}{8} * 72[/tex]

[tex]Boys = \frac{9}{8} * 72[/tex]

[tex]Boys = 9*9[/tex]

[tex]Boys = 81[/tex]

Answer:

y = (1/7)(x + 8)³

Step-by-step explanation:

We are given the function; y = x³

There is a vertical compression by a factor of 1/7 which means that we now have the function as;

y = (1/7)x³

We are told that it shifts by 8 units to the left. This means we will have;

f(x + 8)

This gives;

y = (1/7)(x + 8)³

The transformed equation of [tex]y=x^{3}[/tex] is [tex]y=-\frac{1}{7} (x+8)^{3}[/tex].

Given equation:- [tex]y=x^{3}[/tex]

Applying the given transformations, we have:

To have a vertical compression by a factor of [tex]\frac{1}{7}[/tex], we need to multiply the function by [tex]\frac{1}{7}[/tex]. So, we have:

[tex]y=\frac{1}{7} x^{3}[/tex]

To have a horizontal shift by 8 units to the left, we need to add 8 to x. So, we have:

[tex]y=\frac{1}{7} (x+8)^{3}[/tex]

Lastly, to have a reflection over the x-axis, we need to multiply the function by −1. So, we have:

[tex]y=-\frac{1}{7} (x+8)^{3}[/tex]

Therefore, the transformed equation is [tex]y=-\frac{1}{7} (x+8)^{3}[/tex]

For more information:

https://brainly.com/question/22821177

Answer:

The other board is 22 inches

Step-by-step explanation:

3 ft is 36 inches and 36 - 14 = 22 inches

Answer:

22 inches

Step-by-step explanation:

One foot is equal to 12 inches. Therefore, 3 feet equals 36 inches.

3 x 12 = 36

William cut the board into two separate pieces. Since one of the pieces is 14 inches, you will need to subtract 14 from the beginning amount (36 inches) to find the length of the other piece.

36 - 14 = 22 inches

Answer:

B.

Step-by-step explanation:

I think

Answer:

B

Step-by-step explanation:

Answer:

There was  a [tex]15\frac{5}{9}[/tex]% decreas

Answer:

B

Step-by-step explanation:

Even numbers = 2,4,6

Odd numbers = 1,3,5

Same amount of numbers

Answer:

B. The events are equally likely.

Step-by-step explanation:

On a 6-sided number cube, there are 3 even numbers (2, 4, 6) and 3 odd numbers (1, 3, 5). There is a 1/2 (3 of 6) chance you will roll an even number, and a 1/2 chance you will roll an odd number. These chances are the same, so B is the answer.

Answer: $76.00

Step-by-step explanation: 57 divided by 6 is 9.5 . Now 9.5 X 8 = 76

Answer:

10

Step-by-step explanation:

Answer:

The answer would be 10

Step-by-step explanation:

First, you need to turn the mixed number to an improper fraction.

do keep, change flip

(Keep the first number, change the division sign to multiplication sign, flip the last fraction)

New problem, 12/1*5/6

12 times 5=60

1 times 6=6

60 divided by 6

Hope I helped!! :)

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