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Stella [2.4K]
3 years ago
10

The length of a rectangle is 5 more than twice its width. if the perimeter of the rectangle is 82 centimeters, find its length a

nd its width.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

P = 2L + 2W, keep that in mind (W=width, L=length)

Just fill it in. 82=2(5+2w) + 2w. First solve for w.

82 = 10+ 10w + 2w,

82 = 10 + 12w. Now subtract the 10 from both sides, and get:

72 = 12w, now divide both sides by 12, and get:

6 = w.

W is 6.


Now to solve for L, go back to the problem we had, L = 5 + 2w. Fill in w,

L = 5 + 2(6), and then it is L = 5 + 12.

It is a simple addition equation now.

L = 17, W = 6

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The average distance of the sun from Earth is about 1.5 x 108 kilometers.
Nataliya [291]

Answer:

10⁵ billion

Step-by-step explanation:

given that distance from sun to earth

= 1.5 x 10⁸ km    (we need to convert this to millimeters)

= 1.5 x 10⁸ km x  1 million mm per km

= 1.5 x 10⁸ km x  1,000,000 mm/km

= 1.5 x 10⁸ km x  10⁶ mm/km

= 1.5 x 10⁸ x  10⁶

= 1.5 x 10⁽⁸ ⁺ ⁶⁾

= 1.5 x 10¹⁴ mm

also given that a quarter is 1.5mm thick, hence the number of quarters that will span the distance between the sun an earth (i.e 1.5 x 10¹⁴ mm)

= 1.5 x 10¹⁴ mm ÷ 1.5 mm/quarter

= 10¹⁴

= 100,000,000,000,000    (remember that a billion has 9 zeros)

= 100,000 billion

= 10⁵ billion

7 0
4 years ago
A survey of 898 U.S. VCR owners found that 16% had VCR clocks that were currently blinking “12:00.” (Source: Wirthlin Worldwide)
yKpoI14uk [10]

In this case scenario, the population and sample would be:

Population : Collection of all US adult who own VCR

Sample : Collection 898 US adult who own VCR

<span>Therefore the answer to this is “False”</span>

<span>Hope this helps you!</span>

8 0
3 years ago
Read 2 more answers
The quantities x and y in a ratio are called
lbvjy [14]

Answer:

The graph relates the temperature change

y

(in degrees Fahrenheit) to the altitude change

x

(in thousands of feet).

a. Is the relationship proportional? Explain.

b. Write an equation of the line. Interpret the slope.

c. You are at the bottom of a mountain where the temperature is

74\F

. The top of the mountain is 5500 feet above you.

What is the temperature at the top of the mountain?

Step-by-step explanation:

6 0
3 years ago
A driver travels for 2 hours at 80 miles per hour, during
algol [13]

Answer:

$84

Step-by-step explanation:

Find how many miles she traveled by multiplying 80 and 2.

80 × 2 = 160 miles

Next find out how much she gets paid for her mileage by multiply $0.60 and 160.

160 × $0.60 = $96.00

Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.

160 ÷ 40 = 4 gallons

Then multiply 4 gallons by $3.00

4 × 3 = $12

To find the net rate of pay subtract 96 and 12

$96 - $12 = $84

8 0
3 years ago
Read 2 more answers
HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH
8090 [49]

Hello, please consider the following.

We will multiply the numerator and denominator by

4+\sqrt{6x}

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}

Thank you

8 0
3 years ago
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