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2 years ago

Solve the inequalities

Mathematics

1 answer:

boyakko [2]2 years ago

8 0

G + 2 - 2 (g - 16) > 0
g + 2 - 2g + 32 > 0
-g + 34 > 0
g < 34

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Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had

dmitriy555 [2]

Answer:

Option B

Step-by-step explanation:

The number that had never been married will vary in each sample due to the random selection of adults.

This number will vary in each sample to the random selection process but they might or might not be as close as possible to one another after sampling.

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2 years ago

The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th

12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = $\dfrac{2400 \ cm^2}{p}$

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be $\dfrac{2400 \ cm^2}{p} + 20$

The area of the printed material can now be: $A = (p+30)(\dfrac{2400 }{p} + 20)$

= $2400 +20 p +\dfrac{72000}{p}+600$

Let differentiate with respect to p; we have

$\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}$

Also;

$\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}$

For the smallest area $\dfrac{dA}{dp }=0$

$20 - \dfrac{72000}{p^2}=0$

$p^2 = \dfrac{72000}{20}$

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression q = $\dfrac{2400 \ cm^2}{p}$ to solve for q;

q = $\dfrac{2400 \ cm^2}{p}$

q = $\dfrac{2400 \ cm^2}{60}$

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = $\dfrac{2400 \ cm^2}{p} + 20$ = $\dfrac{2400 \ cm^2}{60} + 20$ = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.

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2 years ago

A $3,500 loan, taken now, with a simple interest rate of 5% per year, will require a total repayment of $3,850. At what time t w

Alecsey [184]

Answer:

Roughly 2 years

Step-by-step explanation:

3500(1.05)^t=3850

(1.05)^t=1.1

t=1.953

So roughly 2 years

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2 years ago

Read 2 more answers

If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?

Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

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2 years ago

The label on Emma's protein shake said that one serving provided 5 grams of fiber, which is 25% of the recommended daily amount.

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Answer:20

Step-by-step explanation:

25% is 1/4 so multiply 5 times 4

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2 years ago