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Solar panel generates 3/5 of kilowatts of power a warehouse wants to generate 24 kilowatts of power write an expression to find

Anuta_ua [19.1K]

Answer:

The warehouse will need 40 solar panels

Step-by-step explanation:

3/5 kilowatts is generated by 1 solar panel

24 kilowatts will be generated by ?

24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.

3 0

3 years ago

Read 2 more answers

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

5 0

2 years ago

The length of a rectangle is twice the width. Find the width if the perimeter is 60 centimeters. Define a variable, write an equ

-Dominant- [34]

width = w

length = 2w

perimeter = 2w + 2 l

perimeter = 2w +2(2w)

60 = 2w + 4w

60= 6w

60=6w

w = 60/6 = 10

length = 10x2 = 20

10+10+20+20 = 60

3 0

3 years ago

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Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?

diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>

8 0

2 years ago

What values complete each statement?

aliya0001 [1]

For this case we have:

By properties of the radicals $\sqrt {a} = a ^{\frac {1} {2}}$

So:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2$ .

Now, for power properties we have:

$(b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}$

Thus, $(7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7$

So:

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

Answer:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7$ in its simplest form.

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

4 0

2 years ago