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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Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

The answer is B

Step-by-step explanation:

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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

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Answers

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Step-by-step explanation:

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Answer:

80% are left.

Step-by-step explanation:

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Answers

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Hgyugyhvd

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Subtract 40 from the original number, 64

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Answers

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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.

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The geometric mean of 5 and 36 is 13.42.

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

Answer:

No

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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

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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.

More about the absolute function link is given below.

https://brainly.com/question/10664936

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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

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Answers

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

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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.

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