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larisa86 [58]
3 years ago
9

What value of t satisfies the equation t/8-3/4=9/16

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
5 0
The answer to t is t= 21/2
Black_prince [1.1K]3 years ago
3 0
Times both sides by 16
2t-12=9
add 12 both sides
2t=21
divide both sides by 2
t=21/2
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Bashir works in a weather station and has launched a weather balloon. The height of the balloon is 4 kilometers and it is 1 kilo
Aleksandr [31]

Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.

From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,

BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=\sqrt{17}\approx 4.123\text{ km.}

Answer: nearly 4.123 km

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3 years ago
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Write the inequality: the speed limit on Rollins road is 35 miles per hour.
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Answer:

x < 35 mph

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2 years ago
Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving
Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

A=P(1+r)^t

where

A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5

Substituting the available values into the formula and solving

A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63

The interest Molly will earn after 5 years is

A-P=\$127.63-\$100=\$27.63

Therefore, the amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

Learn more about compound interest here: brainly.com/question/21270833

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3 years ago
If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the
Olin [163]

It takes 1.5 hours for 4 workers to paint the same room

<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6

Therefore,

\text {time}=6 \times \frac{1}{\text { number of workers }}

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

time = 6 \times \frac{1}{4} = 1.5

Thus it takes 1.5 hours for 4 workers to paint the same room

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C because if you divide the angle minus the feet you get 120

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