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frez [133]
3 years ago
11

Translate this sentence into an equation.

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

The product of Victor's age and 7 is 84 in equation form is 7v=84

Step-by-step explanation:

Let v be the  Victor's age.

We are supposed to Translate this sentence into an equation

The product of Victor's age and 7 is 84

Victor's age = v

Product of victor's age and 7 =7 \times v

We are given that their product is 84

So,7 \times v =84

Hence The product of Victor's age and 7 is 84 in equation form is 7v=84

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One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is
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Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

A =lw              .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒l = 3w -1 ft

Substitute the given values in [1] we have;

30 = (3w-1) \cdot w

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

then;

30 = 3w^2-w

We can write this as:

3w^2-w-30 = 0

Factorize this equation:

Split the middle term we have;

3w^2-10w+9w-30 = 0

⇒w(3w-10)+3(3w-10=0)

⇒(3w-10)(w+3)=0

By zero product property we have;

3w-10 = 0 and w+3 = 0

Since, w cannot be negative;

so,

w = \frac{10}{3} = 3.3333.. ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

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