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Ghella [55]
3 years ago
11

P varies inversely with x. If P = 14 when x= 16, find the value of P when x = 21.

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

Option C. 32/3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form p*x=k or p=k/x

we know that

For p=14, x=16

Find the value of k

k=p*x

substitute the values

k=(14)*(16)=224

so

The equation is equal to

p=\frac{224}{x}

Find the value of p when x=21

substitute the value of x in the equation

p=\frac{224}{21}    

simplify

Divide by 7 both numerator and denominator

p=\frac{32}{3}    

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Ast year, 3,120 students competed in a statewide athletic competition. If each participating school district sent 26 students to
andreyandreev [35.5K]

Answer: 120 schools

Step-by-step explanation:

3,120 students competed in a statewide athletic competition and each participating school district sent 26 students to the athletic competition.

Total number of students= 3120

Total students sent by each school= 26

Number of participating school districts= Total number of students ÷ he students sent by each school

= 3120 / 26

= 120 students

There are 120 participating schools in the competition

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3 years ago
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adoni [48]
The equation would be y = 25x + 50

In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking. 

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25*7 = 175

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225 - 175 = 50

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What is 0.00526 in scientific notation
garik1379 [7]

Answer:

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Step-by-step explanation:


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A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2
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The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

<h3>What is Inequality?</h3>

Statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.

A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.

puppy: 2.8 + 0.5x

Kitten: 1.4 + 1.2x

As, kitten is no less than puppy.

Kitten ≥ puppy

1.4 + 1.2x ≥ 2.8 + 0.5x

hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

Learn more about inequality here:

brainly.com/question/23575974

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1 year ago
Bill earns an annual salary of $65 000. He receives a pay rise of 13.5%, how much does he earn after the increase?
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