3 years ago

Is x=1 a solution to the equation 8x-2 =16-6x? How do u know

Mathematics

1 answer:

lesantik [10]3 years ago

5 0

Answer:

8x-2=16-6x

No because 16-6x is 10

and 8-2 is 6

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A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

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3 years ago

A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costume

Step2247 [10]

Answer:

100 yards

Step-by-step explanation:

It takes 4 yards of fabric to make a costume for one student. She needs to make costumes for every student in chorus, so you just multiply this number by 25 and get 100 yards.

7 0

3 years ago

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A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.

Ymorist [56]

Answer:

19.2 mph

Step-by-step explanation:

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7 0

3 years ago

472 + 278 + 694 + 73 + 217 =<br>O 1,734<br>1,824<br>O 1,714<br>O 1,634

hichkok12 [17]

Answer:

1734

Step-by-step explanation:

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3 years ago

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Jim nasium is building a tree house for histwo daughters. He cuts 12 pieces of wood from a board that is 128 inches long.He cuts

AnnyKZ [126]

Answer:

6.75 inches each

Step-by-step explanation:

128 less 2 inches for the cuttingblade

5 x 15.75 = 78.75

126 - 78.75 =47.25

47.25/7 = 6.75

5 0

3 years ago