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xeze [42]
3 years ago
12

WILL MARK BRAINLIEST!! Solve for k. -5 < -5k - 15 < 20

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

-2 > k > -7

Step-by-step explanation:

what you do to one section, you have to do to all

-5 < -5k - 15 < 20

add 15 to each part

10 <  -5k < 35

divide by -5 (when you divide by a negative, it flips the inequality signs!)

-2 > k > -7

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Which of the following is the simplest form of this expression?
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The numerator could be written a⁴/⁵

The denominator could be written a²/³


Now solve  ( a⁴/⁵) / (a²/³) ==> a⁽⁴/⁵ ⁻²/³)  = a⁽²/¹⁵)

This is the simplest way
4 0
3 years ago
Read 2 more answers
Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R
kow [346]

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

-7\times -2=56k

k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

f=\frac{g}{4h}

if f=10 and h=-12, then;

10=\frac{g}{-48}

g=-48\times 10=-480

The correct answer is B.

4 0
3 years ago
Write an equation of the graph:
katrin [286]
1. To translate to the left, add to x. 
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2. To translate down, add to y. 
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Hope this helps!
5 0
3 years ago
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney re
kakasveta [241]

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read 13\frac{3}{4} pages in \frac{1}{4} of an hour.

Therefore, pages read by Zander in 1 hour = \frac{\text{Total pages read}}{\text{Total time taken}}

= \frac{13\frac{3}{4}}{\frac{1}{4}}

= \frac{55}{4}\times \frac{4}{1}

= 55 pages per hour

Sydney read 43\frac{1}{3} pages in \frac{2}{3} of an hours.

Pages read by Sydney in 1 hour = \frac{43\frac{1}{3}}{\frac{2}{3} }

= \frac{130}{3}\times \frac{3}{2}

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

4 0
2 years ago
An office building has the dimensions shown. What is the volume of the building?
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What are the dimensions of the building?
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2 years ago
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