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vladimir2022 [97]
2 years ago
9

Nora is running a race that is 26.2 miles. She is running at a speed of 8 miles per hour. She has completed 3/4 of the race. How

much longer will it take Nora to finish the race?
Mathematics
1 answer:
Nataly [62]2 years ago
6 0
The answer to this problem would be about 4 hours
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Jackie walks into a convenience store and recognizes the number of lottery tickets she can purchase varies inversely with the pr
OLEGan [10]
Let the price of the tickets be 'x' and the number of tickets bought is 'y'

When the y inversely proportioned to x, the equation is

y = k/x where k is a constant

We work out the value of k by using the information y = 6 and x = 5

6 = k/5
k = 30

Hence, the maximum number of tickets when the price is $3 is

y = 30/3
y = 10 tickets
3 0
2 years ago
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3.274 x 10^3 as an ordinary number
Alborosie

Answer:

327.4

Step-by-step explanation:

All you have to do to simplify a number written in scientific notation is to move the decimal place to the left (if the number is negative) and to the right (if the number is positive).

4 0
2 years ago
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Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is p
lianna [129]

Answer: A

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is

n-4(32.5) > 300;n > 430

6 0
2 years ago
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Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?
mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

(x - 4)^{2} - \frac{2}{3} = 6y - 12

We can rearrange the function as

(x - 4)^{2} - \frac{2}{3} = 6y - 12

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ (x - 4)^{2} = 6y - \frac{34}{3}

⇒ x - 4 = \pm \sqrt{6y - \frac{34}{3}}

⇒ x = 4 \pm \sqrt{6y - \frac{34}{3}}

Therefore, the inverse function will be, y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the correct option is option B. (Answer)

7 0
2 years ago
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Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain.
Nataly_w [17]
Yes when the function f(x) = -2x3+17x2-64 is divided by x-8, the remainder is zero. Therefore, x-8 is a factor of f(x) = -2x3+17x2-64 
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