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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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A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed
Arada [10]

Answer:

4 divided by 2 = 2 so 2carrots per cup of water

Step-by-step explanation:

Hope this helps

5 0
3 years ago
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A company installs 5,000 light bulbs. the lifetimes of the lightbulbs are approximately normally distributed with a mean of 500
Sergio039 [100]
First, determine the z-score of 675. 
                               z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
                               z = 0. 
Subtracting the z-scores will give us 1.75. This is equal to 0.9599. 
                        = 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
                             n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
5 0
3 years ago
Please help on two math questions. I don’t understand how to do them.
Sidana [21]

When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.

In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

x\leq -2 \lor\ x>1

or, in interval notation,

(-\infty,-2]\cup (1,\infty)

In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.

This means that the difference between your numbers at 1 must be at most 4, which is modelled by

|x-1|\leq 4

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.

3 0
3 years ago
Today, everything at a store is on sale. The store offers a 20% discount. Write an equation for this situation in terms of y.
SpyIntel [72]

The discount price will be 0.8X dollars.

Step-by-step explanation:

Given,

Price of an item = X dollars

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Amount of discount = 20% of Price of item

Amount of discount =  

Price of item after discount = Price of item - Amount of discount

Price of item after discount = X-0.2X = 0.8X dollars

The discount price will be 0.8X dollars.

Keywords: discount, subtraction

8 0
3 years ago
I need help plz and I have to show work
bija089 [108]

This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps

a. Linear equation:

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$8 + ($2.50 * x)

b.

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= $8 + $25.0

= $33

8 0
3 years ago
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