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4 years ago

5

3) Veronica traveled 126 miles on 3 gallons of gas. On another trip she traveled 210 miles on 5 gallons of gas. Find the unit ra

te in miles per gallon on her two trips.

1 answer:

Goshia [24]4 years ago

8 0

The answer is 42 mpg, all you need to do is divide 126/3 or 210/5 and they both equal 42.

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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the

denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

$\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)$

Now at head wind → $720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)$

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0

3 years ago

Please tell me what is (7+3x)4

Savatey [412]

Answer:

28+12x

Step-by-step explanation:

Multiply 7 with 4

Multiply 3x with 4

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3 years ago

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6 times x divided by 18

maw [93]

Answer:

$\frac{6x}{18}$

Step-by-step explanation:

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3 years ago

3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle?

Nitella [24]

Answer:

the smallest possible perimeter is 6

Step-by-step explanation:

since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)

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Use completing the square to find the value to add that makes x^2 - 12x a perfect square trinomial. Then write the expression as

yarga [219]

Answer:

Step-by-step explanation:

If you want to make

$x^2-12x$

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The value that makes this a perfect square binomial is 36.

Writing the expression as a square of the binomial is:

$(x^2-12x+36)-->(x-6)^2$

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3 years ago