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4 years ago

A number p plus 7 is greater than 24

Mathematics

1 answer:

hichkok12 [17]4 years ago

4 0

Answer:

p is greater than or equal to 18

Step-by-step explanation:

18+7=25 so therefore p can be any number greater than 18 since it will be over 24

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3 years ago

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the

marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

Let the one side be $\frac{1}{6}x$

And the second side be $\frac{1}{3}x$ .

And the third side be $\frac{1}{4}x$ .

According to question:

$\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5$

⇒ $\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5$

Adding all the variables by taking common denominator we get:

⇒ $\frac{9x}{12}=13.5$

Multiplying both sides by 12 we get:

⇒ $9x=162$

Dividing both sides by 9 we get:

⇒ $x=18$

Thus, the sides of the triangle are:

1/6×18=3 inches.

1/3×18=6 inches.

1/4×18=9/2=4.5 inches.

Therefore, the shortest side of the triangle is 3 inches.

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3 years ago