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2 years ago

PLEASE HELP AND EXPLAIN!

Mathematics

1 answer:

Neko [114]2 years ago

8 0

Answer:

12 years old.

Step-by-step explanation:

1) 2x+x=18

2) Now solve 2x+x=18

Add alike terms

3x=18

Now divide both sides by 3 (3x/3 and 18/3)

x=6

So Hannah is 6 years old. Her sister must be 12.

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3 years ago

An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

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3 0

3 years ago

Riley rakes 1/6 of a lawn in 2/3 hour. How many lawns can Riley rake per hour?

Butoxors [25]

Answer:

Riley rakes 1/4 of the lawns per hour.

Step-by-step explanation:

It is given that,

Riley rakes 1/6 of a lawn in 2/3 hour.

We need to find how many lawns can Riley rake per hour.

In 2/3 hour Riley rakes 1/6 of a lawn

In 1 hour Riley rakes $\dfrac{1}{6}\times \dfrac{3}{2}=0.25$ = 1/4 of a lawn.

Hence, Riley rakes 1/4 of the lawns per hour.

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2 years ago

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The probability is 18/24

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3 years ago

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left

Roman55 [17]

Answer: x=100

Step-by-step explanation:

In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100

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2 years ago

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