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3 years ago

The area of a rectangle is 36 square inches. Its length is 9 inches. What is its width?

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

The dimensions of the rectangle would be 9 and 4

Step-by-step explanation:

Since we are solving for area we only need to find two sides.

blsea [12.9K]3 years ago

5 0

Answer:

w = 4in

Step-by-step explanation:

w=A

l=36

9=4in

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HELPPP. 6th GRADE MATH!!! ITS EASY IF YOU ARE GOOD AT IT!!!

m_a_m_a [10]

Answer:

1. Howard

2. Peter

Step-by-step explanation:

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3 years ago

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A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x, where q is the q

Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

$\frac{x D'(x)}{D'(x)}$

$= \frac{x (-17)}{943 - 17x}$

$= \frac{17x}{943 - 17x}$

Elasticity expression = $E(x) = \frac{17x}{943 - 17x}$

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

$E(x) = \frac{17x}{943 - 17x}$

$1 = \frac{17x}{943 - 17x}$

Cross multiply:

$943 - 17x = 17x$

Collect like terms

$17x + 17x = 943$

$34x = 943$

$x = \frac{943}{34}$

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

$\frac{17x}{943 - 17x} > 1$

Cross multiply:

$17x > 943 - 17x$

Collect like terms

$17x + 17x > 943$

$34x > 943$

$x > \frac{943}{34}$

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

$\frac{17x}{943 - 17x} < 1$

Cross multiply:

$17x < 943 - 17x$

Collect like terms

$17x + 17x < 943$

$34x < 943$

$x < \frac{943}{34}$

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

$x = \frac{943}{17}$

$x = 27.74$

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

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3 years ago

An 8-foot ramp needs to be elevated at an angle measuring 10° to be level with a step. Approximately how far

emmainna [20.7K]

Answer:

Approximately 7.9 feet.

Step-by-step explanation:

cos 10 = x / 8 where x is the required distance.

x = 8 cos 10

= 7.878 feet.

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3 years ago

Which graph represents this system?<br><br> y=1/2x+3 <br> y=3/2x-1

Zigmanuir [339]

It’s neither of the graphs that are showed in the photo

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3 years ago

Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the stu

hjlf

Answer:

P ( snowboard I ski) = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that $P(A) = \frac{28}{120} = 0.2333$

16 out of 120 do both:

This means that $P(A \cap B) = \frac{16}{120} = 0.1333$

P ( snowboard I ski)

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1333}{0.2333} = 0.5714$

P ( snowboard I ski) = 0.5714

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3 years ago

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