Rachel is a veterinarian. She charges $20 as a base and $10 for each animal that she vaccinates.
Let x be the number of animals vaccinated and y be the total amount charged. Write the equation.

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

a. m<1 = m<6 (vertical angles)

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

f. m<7 = m<12 (vertical angles)

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)

Answer:

4.53 x 10^-5

Step-by-step explanation:

Answer:

The answers are A, B, C, F

Add both pair of shoes together. Then take that total and multiply by7% or.07

Answer:

1 2/3

Step-by-step explanation:

5 1/2 = 11/2 x 3 = 33/6

3 1/3 = 10/3 x 2 = 20/6

30 - 20 = 10/6 = 1 4/6 = 1 2/3

Answer: 2 1/6

Step-by-step explanation:

5 1/2 - 3 1/3

=

5 3/6 - 3 2/6

=

5 - 3 = 2

3/6 - 2/6 = 1/6

= 2 1/6

Answer:

33

Step-by-step explanation:

I hope this helps!

Answer:

33 pillowcases

Step-by-step explanation:

16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric

Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.

11 * 3 = 3 pillowcases

Answer:

y = 6x + 27

Step-by-step explanation:

The required linear equation would be y = 6x + 27 in the slope-intercept form.

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx+ c.

Linear equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing.

The linear equation is given in the question

⇒ 2x = (1/3)y - 9

We have to rewrite the equation in the slope-intercept form.

⇒ 2x = (1/3)y - 9

Multiply by 3 both sides of the above equation,

⇒ 6x = y - 27

Rearrange the term of y to get

⇒ y = 6x + 27

Therefore, the required linear equation would be y = 6x + 27 in the slope-intercept form.

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Answer:

It will take 10 minutes for the printer to print 240 pages.

Step-by-step explanation:

First, you have to find how many pages the printer prints in 1 minutes. whixh is 24. You can find this by simply dividing 96 by 4. Then, you divide 240 from 24, and get 10! Hope this helps!

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

[tex]P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...[/tex]

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=[tex]0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51[/tex]

E)

[tex]P(X \geq 3)=1-P(X<3)\\P(X \geq 3)=1-(P(X=1)+P(X=2))\\P(X \geq 3)=1-0.51\\P(X \geq 3)=0.49[/tex]

F)

[tex]E(X)=\frac{1}{p}[/tex]

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

[tex]E(X)=\frac{1}{0.7}=1.42[/tex]

G)[tex]E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33[/tex]

Answer:

40

Step-by-step explanation:

Deceleration means how much did it go down? It makes sense that 40 is correct! Let me know if I'm wrong.

Answer:e

Step-by-step explanation:

Answer:

L = -0.75t + 6

Step-by-step explanation:

L = length (this is what equation you are looking to solve for

-0.75t because the candle burns at 0.75 in per hour so the value decreases, hence the (-)

+6 because the candle has a positive value of 6 inches to begin with

The standard form of what you are writing is called slope intercept form y = mx + b, learn it because it is very important for future math.

The equation of the candle remaining unburned at any given time is       L(t) = 6 - 0.75t.

A function is a set of values of the dependent variable for specified independent variable.

According to the given question Brayden just lit a new candle and then let it burn all the way down to nothing.

The candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches we have to write an equation for L in terms of t where t represents time in hours and L(t) represents length of the candle remain unburned.

∴ L(t) = 6 - 0.75t.

At t = 0 the length of the unburned candle L(t) will be 6 inches and at t = 8 L(t) will be 0,So the candle can burn for 8 hours.

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Answer:

7,-10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Y2-y1

________

X2-x1

-7 - (-8) = 1

6-4=2

Slope is 1/2

The slope of the line through (6, -7) and (4, -8)

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Two points; (6, -7) and (4, -8)

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m=(-8-(-7))/(4-6)

m=(-1)/-2

m=1/2

Therefore, the slope between the two given points will be1/2

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Answer:

part one: 4x^(3)-6x^(2)+13x-62

part two: x^(3)-8x^(2)+17x-52

Step-by-step explanation:

Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560

Answer:

11a + 5b

Step-by-step explanation:

3(2a + 5b) + 5(a-2b)

First, distribute 3 to 2a and 5b, and distribute 5 to a and -2b

6a + 15b + 5a - 10b

Combine like terms

11a + 5b

Have a good day, be safe

I hope that this helps

Answer:

w=4

Step-by-step explanation:

The surface area of a prism is SA= 2lw+2lh+2hw

We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.

240=(2*12*w)+(2*12*5)+(2*5*w)

          24w+120+10w

240= 34w+120

-120           -120

120= 34w

120/34 = 34w/34

w is approximately equal to 3.5 which can be rounded to 4

w=4

Hope this is right! It was confusing at first but I understood it!

Answer:

Her earnings would be $555

Answer:It's b

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

1) subtract 15 on both sides

should look like: -6x=18

2) divide the -6 on both sides

3) 18 divided by -6 is -3

Answer:

450

Step-by-step explanation:

60 divided by 2= 30

it spins 30times per minute

30 times 15= 450

Answer:

397 feet

Step-by-step explanation:

All you have to do is subtract the feet of Town R from Town M. The equation would look like this.

679 - 282 =397

So Town R is 397 feet higher than Town M.

Hope that helps and have a great day!

Answer: slope = 21, y-int = 15

Step-by-step explanation:

f(x) = -7x + 9

g(x) = -7(x + 2) + 9 = -7x - 5

h(x) = -3(-7x - 5) = 21x + 15

slope = 21

y-intercept = 15

hope this helps (not sure if my answer is correct)

Answer:why is it show glitchy

Step-by-step explanation:

Answer: f-1(x) = 5x+3

Step-by-step explanation: just did the assignments

Answer:

n = 14

Step-by-step explanation:

n/7 - 5 = -3

n/7 = 2

n = 14

Answer:

Step-by-step explanation:

Step one: 9÷1.5= 6

Step two: 3·6=18

The actual book is 18 inches tall and 9 inches wide