Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Answer:

ΔOGD≅ ΔPRC

Step-by-step explanation:

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

Your answer is 150 units!

Answer:

answer C. 3x + 9

Step-by-step explanation:

3(x + 5) - 6 =

3x + 15 - 6 =

3x + (15 - 6 ) =

3x + 9

3(x+5)-6

Multiply 3 by the inside parenthesis:

3x+15-6

Subtract

3x+9

This means our answer is C) 3x+9

I hope this helps! :)

Answer:

We know that,

[tex](a^{x}) ^{y} =a^{xy}[/tex]

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]

Let's solve now.

1) [tex](3^{8})^{4} =3^{32}[/tex]

2)  [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]

3) [tex]12^{4} *12^{10} =12^{14}[/tex]

4) [tex](6m^{5} )^{3} =6m^{15}[/tex]

5)  [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]

6)  [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]

7)  [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]

8)  [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]

9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]

10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]

Hope this helps you.

Let me know if you have any other  questions :-)

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

Refer to attachment for solution ~

Answer:

-3/10+ 3/10

lcm=10

-3+3

______

10

=0/10 = 0

Answer:

-6/10

Step-by-step explanation:

hope it helps

Answer:

it will take 10 hours

Step-by-step explanation:

6+4=10

the answer is 1 because .25x4=1

Answer:

1 gallon

Step-by-step explanation:

4 / 4 = 1

(because 25% is 1/4 of 100%)

:)

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

Answer:

(-6,6)

Step-by-step explanation:

well im guessing it the average highway speed 60 mph so it is $7

Answer:1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

Answer:

0+_+0

Answer:

9.96

Step-by-step explanation:

12 * .83

Answer:

10 hours

Step-by-step explanation:

83% of 12 hours = 0.83 * 12 hours = 10 hours

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

the correct answer is B

hope I helped

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

Learn more about the sale price here:

https://brainly.com/question/29199569.

#SPJ2

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) [tex]\geq[/tex] $135

L  [tex]\geq[/tex] 9 lawns

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

Answer:

304 divided by 8 in decimal = 38

304 divided by 8 in fraction = 304/8

304 divided by 8 in percentage = 3800%

Step-by-step explanation: You just simply divide.