A quarterback completes 18 of 33 passes during the first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in the fourth quarter?

Answers

Answer 1

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 %

Answer 2

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.

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Related Questions

Help a brother out lol

Answers

Answer:

slope: 3

y-intercept: -1

equation: y = 3x - 1

Step-by-step explanation:

Destini has $64 to spend on a new game. If she spends 5/8 of her money on the
game, how much money will she have remaining?

Answers

I’m not sure try using fraction calculator it helps me a lot I’m sorry I didn’t help

Answer:

She will have $24 remaining.

Step-by-step explanation:

5/8 of 64 is 40

Subtract 40 from the original number, 64

You get 24

(20m + 3) - (7 m - 5)
Find the difference

Answers

20m-7m= 13m
3--5=8
13m+8

Answer:

This can be done in two ways -

- horizontal

- vertical

so I chose Vertical :

Ordered pairs of y=2/3x+1

Answers

Answer:

(-1.5,0) (0,1)

Step-by-step explanation:

used desmos

HELP PLEASE! I give stars and Brainlliest! 20 points!
Write the mixed number as a percent. 5 2/25= %

Answers

Answer:

508% i think

Step-by-step explanation:

i need help with the problem below

Answers

A and C is your answer

A. -0,7 < 1,3 CORRECT

B. 1,3 > 0,7 CORRECT

C. -0,7 > -1,3 CORRECT

Plss someone help!!!

Answers

Answer:

D. 48

Step-by-step explanation:

I just looked up quarts to cups

Answer:

it is 48 D.

Step-by-step explanation:

Find the value of the variable ??

Answers

Answer:

7

Explanation:

The triangle is a special right triangle.

Since it has a 45° in one of the two unknown angles, the other angle is also 45°. This is called a 45-45-90 right triangle.

The rule for that special triangle is that the legs measure the same while the hypotenuse measures a multiplication of √2.

Since one leg is labeled 7 units, the other (which is x) is labeled 7 too.

What type of function is represented by:
f(x)={-x+4, x<=4
{x-4, x>4
a. Greatest Integer Function
b. Step Function
c. Absolute Value Function
d. None of the Above

Answers

The function f(x) = | x - 4| is represented by the Absolute Value Function. Then the correct option is C.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

Then the function is given below.

[tex]f(x) = \left\{\begin{matrix}-x+4 & x\geq 4 \\\\x-4 & x < 4 \\\end{matrix}\right.[/tex]

Then the function can be written as

f(x) = | x - 4|

Then the graph of the function is given below.

Then the correct option is C.

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https://brainly.com/question/10664936

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Juan sees a maple tree and a pine tree in the forest. He knows the pine tree is 20.68 feet tall. On a sunny day, the shadow of the pine tree is 4.2 feet long while the maple's shadow is 20.02 feet long. Estimate the height of the maple tre

Answers

Answer:

44.9

Step-by-step explanation:

I- well im trash at math definitely but if this is adding then this is the awnser

Are the ratios 1:2 and 2:7 equivalent?

Answers

For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. ... Next, multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14, and multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21.

The ratio 1:2 and 2:7 are not equivalent to each other.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

To get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator. Thus, a = px, b = qx

We are given the ratio as; 1:2 and 2:7

To find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. ...

Next, multiply both the numerator and denominator

1/7 x 2 = 2/14,

or 2:14,

Now multiply the numerator and denominator

1/7 x3 =  3/21,

or 3:21.

Therefore, the ratio are not equivalent to each other.

Learn more about ratio here:

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Spencer added 13 to the product of 224 and 16. What is the sum?

Answers

Answer:

256

Step-by-step explanation:

224+16=240

240+16=256

224 + 13 = 237

237 + 16 = 253

Answer = 253

What is the value of the expression if z=27?
7/9z-18+1/3z
A. 12
B. 30
C. 48
D. 84

Answers

Answer:

12

Step-by-step explanation:

Just put in the value of 27 in all the z's

(-10,-7) and (-5,-9)

Answers

Answer:

for the first one, go left 10, then down 7, and you have your point. for the second one, go left 5, then down 9, and you have your point.

Step-by-step explanation:

for the x-axis, negative means backwards

for the y-axis, negative means down

Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer

Answers

Answer:

no

Step-by-step explanation:

y = -2x + 16

-2 = -2(10) + 16

-2 = -20 + 16

-2 = -4

which is wrong

Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.

y = -2x + 16 > -2 = -2(10) + 16

Now, solve.

-2 = -2(10) + 16 > -2 = -20 + 16  - Start by multiplying out parenthesis.

-2 = -20 + 16 > -2 = -4 - Add.

-2 = -4

The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.

where dose (3.5,1.75) go on a coordinate plane?

Answers

Answer: where is the picture

Step-by-step explanation:

How do I solve this equation?

Answers

Answers: -10,5 how to solve: 2x+5=15
2x+5=-15
2*5+5=15
2*-10+5=15
Hope this helps

How many solutions does this equation have?
-7d + 5 = -8d
no solution
one solution
infinitely many solutions

Answers

One solution

Hgyugyhvd

Answer:

one solution..........

Pleaseee help I’m kinda confused!!!! Write equivalent expressions by combining like terms.
12x + 10x =

Answers

22x
It’s the same as 12 plus 10

Help
Find the value of X

Answers

Answer:

x=11

Step-by-step explanation:

since the triangle is an isosceles triangle, angle 2 should be angle 42 so,

2x+20=42 degrees

2x=22

x=11

A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $6 each and four-topping pizzas that cost $10 each. They order cheese pizzas and four-topping pizzas. Which expression represents the total cost of all of the pizzas they order?

Answers

Answer:

46

Step-by-step explanation:

Well $1o each than 10×4=40 and 40 +6=46

Answer:

Expression:  6c+10f

Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?
A- y+12=20(x-1300
B- y=-5/3x+ 325/3
C- 20x+12y=1300
D- 12y=20x-1300

Answers

Answer:

B

Step-by-step explanation:

In this case, we use variables to represent the the cost of the big and the smaller boxes. Let x be the selling price of the big boxes while y be the selling price of the bigger boxes.

The total selling price of the smaller boxes is 20x. The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300

Hence in equation form, all the information above can be represented as:

20x + 12y = 1,300

Is a 1/4 tablespoon less than a 1/2 teaspoon?

Answers

Yes, it is less then 1/2 of a tablespoon.

Answer:

No

Step-by-step explanation:

A tablespoon is equal to 3 teaspoons. A half tablespoon is, therefore, equal to 1 1/2 teaspoons.

I hope this helps! Please give me brainlest!  

is x = 5 a solution to the equation 19 - x = 14?

Answers

Answer:

The answer is B

Step-by-step explanation:

If you replace x with 5 then 19-5=14

51.8 + (-0.8) i dont like how you suposse to have20 letters

Answers

Answer:

51

Step-by-step explanation:

51.8-0.8=51

Answer:

the answer is 51

Step-by-step explanation:

I dont like how you have to have certain amount of charters in general.

Find the geometric mean of 5 and 36.

Answers

The geometric mean of 5 and 36 is 13.42.

Important information:The given numbers is 5 and 36.

calculation:

[tex]= \sqrt{5\times 36}\\\\ = \sqrt{180}[/tex]

= 13.42

Learn more about the mean here: https://brainly.com/question/24585950

Please help / answer asap ! Is this correct and also what is the y-intercept ?

Answers

Answer:

a. Slope (m): ⅓

b. y-intercept (b): 5

c. Equation: y = ⅓x + 5

Step-by-step explanation:

3a. Using two pairs from the table, say, (-3, 4) and (0, 5):

Slope = m = ∆y/∆x = (5 - 4)/(0 -(-3)) = 1/3

m = ⅓

b. y-intercept (b) is the value of y, when x = 0.

Thus, from the table, when x = 0, y = 5.

Therefore, y-intercept (b) = 5

c. Substitute m = ⅓, and b = 5 into y = mx + b

The equation is:

y = ⅓x + 5


Rosa made a mosaic wall mural using 47 black tiles, 36 blue tiles and 17 red tiles.
Enter a percent to represent the number of red tiles in the mural.
The number of red tiles in the mural represents
%.

Answers

17/(47+36+17)--> 17/100 so 17%

Help please ASAP!!!!

Answers

The third one should be correct, “IMO” if the second person that answers agrees it’s 100%, I’ve had a question similar but I’m not sure exactly.. sorry tho, please lmk if somethings wrong “I will reply I’m not like those kids trying to get coins”
the third one is right

Okay please help if your just gonna answer for points then don't do it, if you want points tell me in the comment and I'll make a points thing but just please don't answer this if you don't know lol!! Thanks guys

Okay so ur at a party and they have donuts, 5/25 of the donuts are eaten. What percent of them are left?

If it's not too much trouble could you explain how to solve it? If not I guess I'll live:(

Answers

Answer:

80%

Step-by-step explanation:

100%= 25/25. 1 donut = 5%. So you have 20 donuts left x 5.

Answer:

80% are left.

Step-by-step explanation:

So 100 donuts would be 100%. To get to 100 you need to multiply 25x4. Then you also need to multiply 5x4=20. Since it is the 5 that are eaten, you subtract 20 from 100 and get 80, so you are left with 80% of the donuts.

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