Devon likes to take his car to his Rub-a-Dub Carwash because he is premier member there. His membership fee costs a $100 and that membership allows him to get his car washed for $12 every visit. Is this relationship proportional or non-proportional, why or why not?

Answer:

He throws 7 passes

Step-by-step explanation:

say he throws x more completed passes.

62.5% = 5/8. So, counting up all the completions, we must have

18 + x = 5/8 (33+x)

He total completes:

18 passes during the first three quarters and x passes

during the fourth quarter = 18 + x passe

He total make:

33 throws during the first three quarters and x throws

during the first the fourth quarter = 33 + x

62.5 % = 62.5 / 100 = 0.625

Proportion is:

( 18 + x ) / ( 33 + x ) = 0.625

Multiply both sides by 33 + x

18 + x = ( 33 + x ) ∙ 0.625

18 + x = 33 ∙ 0.625 + x ∙ 0.625

18 + x = 20.625 + 0.625 x

Subtract 18 to both sides

18 + x - 18 = 20.625 + 0.625 x - 18

x = 2.625 + 0.625 x

Subtract 0.625 x to both sides

x - 0.625 x = 2.625 + 0.625 x - 0.625

0.375 x = 2.625

Divide both sides by 0.375

x = 2.625 / 0.375 = 7

In the fourth quarter throw 7 passes.

Proof:

( 18 + 7 ) / ( 33 + 7 ) = 25 / 40 = 0.625 = 62.5 %

There are 7 passes does the quarterback throw in the fourth quarter.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A quarterback completes 18 of 33 passes during the first three quarters of a football game.

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

Now,

By the given condition, we get;

Let x passes during the fourth quarters.

Hence, The total completes for 18 passes during first quarter = 18 + x

And, The total completes for 33 passes during first quarter = 33 + x

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

So, 62.5% = 62.5 / 100

                = 0.625

Thus, We get by proportions;

⇒ (18 + x) / (33 + x) = 0.625

Solve for x as;

⇒ (18 + x) / (33 + x) = 0.625

⇒ (18 + x) = (33 + x) × 0.625

⇒ 18 + x = 20.625 + 0.625x

⇒ x - 0.625x = 20.625 - 18

⇒ 0.375x = 2.625

⇒ x = 2.625 / 0.375

⇒ x = 7

Thus, There are 7 passes does the quarterback throw in the fourth quarter.

Learn more about the mathematical expression visit:

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Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

Answer:

116

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

the equation u need to use is y-y¹= m(x- x¹)

plug in 10 with the second y , 2 for the m , and 3 for the second x

Answer:

Step-by-step explanation:

1 and 3

Answer:

361 and 362

Step-by-step explanation:

a+b=723

b-a=1

b=1+a

a+1+a=723

2a+1=723

2a=723+1

2a=724

a=362

362+b=723

b=723-362

b=361

so b and a are 361 and 362 respectively

hence the consecutive numbers are 361 and 362

Answer:

the answer is 240,241,242

Step-by-step explanation:

Answer:

=3.162

Step-by-step explanation:

x2  

= −0 + √ 02 − 4×1×(−10)  

2×1

= 0 + 2 × √ 10  

2

= 3.162

Answer:

5-( 2.40+1.33 )= $1.27

Step-by-step explanation:

If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.

I hope this helps!

Answer:

3 − 12 and the solution would be -4

    3

Step-by-step explanation:

Sorry if I'm late

Answer:

22

Step-by-step explanation:

just subtract 55-33

Answer:

11

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

Answer:

-12x + 4

Step-by-step explanation:

Just write the givens like this f(x) + g(x)  

f(x) + g(x) = -7x + 1  + - 5x + 3

f(x) + g(x) = - 7x + 1 - 5x + 3

f(x) + g(x) = - 12x + 4

Answer:

c = 80:)

Step-by-step explanation:

Answer:

Perpendicular lines have a slope that is the negative reciprocal of the given line.

For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.

For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4

There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?

Your answer would be something like: y = -1/4 x + b

b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.

Answer:

the answer would be y= 1/2x

Step-by-step explanation:

you didn't tell us the multiple choice, but the slope should be 1/2x

Answer:

Step-by-step explanation:

-5y+6x=40

15y/15=40/15-6x/15

y=8/3-2/5x

Answer:

For the question 7 its congruent for 8 it's not congruent

Step-by-step explanation:

Answer:

8.9

Step by Step explanation:

20.5/14.7=1.64

12.5/1.64=8.9

Answer:

220 miles

Step-by-step explanation:

85-30=55

55/0.25=220

Answer:

0.5

Step-by-step explanation:

Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

Answer:

21 Remainder 16

Step-by-step explanation:

I used a calculator bcuz I'm  s t o o p i d :')

Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

Answer:

B- 27/9

Step-by-step explanation:

Answer:

3 batches of cookies

Step-by-step explanation:

Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

We can calculate the batches using either cups of flour or number of teaspoons.

For flour

5 cups of flour = 1 batch of cookies

15 cups of flour = x

Cross Multiply

5x = 15 × 1

x = 15/5

x = 3 batches of cookies

For teaspoons of vanilla

2 teaspoons of vanilla = 1 batch of cookies

6 teaspoons of vanilla = x

Cross Multiply

2x = 6 × 1

x = 6/2

x = 3 batches of cookies.

Hence: you can make 3 batches of cookies with 15 cups of flour and 6 teaspoons of vanilla

Answer:

Adjacent...

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Edu 2020

Answer:

it d

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Algebraically, both sides of the equation must equal each other.

[tex]4(12x-6)=6(-4+5x)+18[/tex]

Distribute

[tex]4(12x-6)=6(-4+5x)+18\\48x-24=30x-24+18\\[/tex]

Add, subtract, multiply, or divide to isolate x.

[tex]48x-24=30x-24+18\\48x-24=30x-6\\18x=18\\x=1[/tex]

The solution to this equation is 1.

To test, you can plug in x with 1 and you will see that both sides equal each other.

Answer:

107

Step-by-step explanation:

Answer:

1. 3

2. 1

3. 2

4. 4

Step-by-step explanation: