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inysia [295]
3 years ago
12

translate this sentence into an inequality. A cheetah can reach a speed of 70 mph. however, this speed can be maintained for no

more than 1,640 feet. A. d>1,640 B. d_<1,640 C. d<1,640 D. d_>1,640
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

B. d\leq 1,640ft

<h2>Why?</h2>

From the statement we know that the cheetah can reach a speed of 70 mph, but it can be maintained for no more than 1,640 feet.

The expression "no more than" means that at least it can be reached but never exceeded, it involves that the distance can be less or equal than 1,640 feet but never more than that.

So, the correct option is:

B. d\leq 1,640ft

Have a nice day!

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Brianna's gross annual salary is $50,676. What is the recommended maximum monthly rent she should pay?
ANEK [815]

Answer with explanation:

Gross Annual Salary of Brianna's= $ 50,676

Monthly Salary of Brianna's

          =\frac{50676}{12}\\\\=4223$

We will use \frac{28}{36} rule here,which states that, 28% of monthly income should be used for housing expenditures,and 36 % of monthly income should be used for paying Debt or Debt Purposes.

So, Maximum Monthly Rent that Brianna can pay

      = 28 % of 4223

  =\frac{28}{100} \times 4223\\\\ =\frac{118244}{100}\\\\=1182.44

=$ 1182 (Approx)

Option C: $ 1182

8 0
3 years ago
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
NemiM [27]

Answer:

The minimum average cost is $643.75

It should be built 62.5 machines to achieve the minimum average cost

Step-by-step explanation:

The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800

To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost

∵ C = 0.04x² - 5x + 800

- Differentiate C with respect to x

∴ \frac{dC}{dx}=0.04(2)x^{2-1}-5(1)x^{1-1}+0

∴ \frac{dC}{dx}=0.08x-5

- Equate \frac{dC}{dx} by 0

∴ 0.08x - 5 = 0

- Add 5 to both sides

∴ 0.08x = 5

- Divide both sides by 0.08

∴ x = 62.5

That means the minimum average cost is at x = 62.5

Substitute the value of x in C to find the minimum average cost

∵ C = 0.04(62.5)² - 5(62.5) + 800

∴ C = 643.75

∵ C is the average cost

∴ The minimum average cost is $643.75

∵ x is the number of the machines

∴ It should be built 62.5 machines to achieve the minimum

   average cost

4 0
3 years ago
The unit digit of cube 149 is​
ICE Princess25 [194]
The unit digit of cube 149 is 9
4 0
2 years ago
Read 2 more answers
Easy brainliest for correct answer 100%
MakcuM [25]

Answer:

B) A/l

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide l from both sides of the equation:

A = l * w

(A)/l = (l)/l * w

w = A/l

B) A/l is your answer.

~

7 0
3 years ago
Read 2 more answers
as shown in the diagram below, a building cast a 72 foot shadow on the ground when the angle of elevation of the sun is 40 degre
tester [92]

Answer:

60

Step-by-step explanation:

It is just 60 I did my work lol

6 0
3 years ago
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