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Naily [24]
3 years ago
13

In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

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Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a
zvonat [6]

Answer:

Ground Chicory = 7 pounds and Jamaican Blue Mountain = 5 pounds

Step-by-step explanation:

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound.

Total cost of 12 pounds of coffee blend = 6.25 × 12 = $75

Ground Chicory = $4.40 per pound

Jamaican Blue Mountain = $8.84 per pound

Total weight of coffee blend = 12 pounds

Total amount of coffee blend = $75

Let the weight of Chicory be 'x'

The weight of Blue mountain be (12 - x)

75 = 4.40x + 8.84(12-x)

75 = 4.40x + 106.08 + - 8.84x

75 = (4.40x +-8.84x) + 106.08

75 = - 4.44x + 106.08

-4.44x = 75 - 106.08

-4.44x = -31.08

x = 7 pounds

and (12 - x) = 12 - 7 = 5 pounds

Therefore, Ground Chicory would be used 7 pounds and Jamaican Blue Mountain would be used 5 pounds.

7 0
3 years ago
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What is ((-1²-3)²+2•8​
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With only one curved line in the front with the one is 32
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2 years ago
On a multiple choice test, problem 1 has four answer choices and problem 2 has three choices. Each problem has only one correct
likoan [24]

Answer:

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Step-by-step explanation:

5 0
2 years ago
How many times can 18 go into 45
Savatey [412]

Answer:

45 divided by 18 = 2.5

Step-by-step explanation

18+18=36 so that is 2 times but 45-36 =9 we can divide 9 by 18 and get a half.

2+0.5=2.5

Hope this helps!

7 0
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Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
LiRa [457]
<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

5 0
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