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2 years ago

John's patio is 5 feet long and has an area of 1.30 square feet How wide is the patio?

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

Step-by-step explanation:

so, I assume the patio is a true rectangle.

the area of a rectangle is

length × width

in our case that means

1.3 = 5 × width

width = 1.3 / 5 = 0.26 ft

so, this is just a very narrow strip of 0.26ft × 5 ft.

I would not call that a patio ...

or was it a typo, and the area is actually 30 ft² ?

then we would have

30 = 5 × width

width = 30 / 5 = 6 ft

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In “Socialism vs. Capitalism: Which is the Moral System”, author C. Bradley Thompson refers to _____ as the only moral and just

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Answer: B. Capitalism

Step-by-step explanation:

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3 years ago

Explain how to add fractions with unlike denominators. Please be as specific as possible.

Gelneren [198K]

Answer:

Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have $1/2 + 1/3$ , we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be $2*3=6$ . Our new denominator would be 6. So now we would have $1/6 + 1/6$ which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, $3/6+2/6$ .

So our first fraction was

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We then multiplied the whole fraction by the opposite denominator

$3/6+2/6$

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2 years ago

Divide using synthetic division.<br> -3x^3+11x^2-x+20 by (x-4).<br><br> Please show steps!

Vaselesa [24]

-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
Add -1 and -4
Multiply -5 * 4
Add 20 and -20
Answer: The power is reduced by one from the
Dividend. -3x^2 – x - 5
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3 years ago

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar

GaryK [48]

Answer:

The expressions 7x + 4 and 3x + 5 + 4x = 1 are equivalent for every value of x.

Step-by-step explanation:

Expressions - 7x + 4 and 3x + 5 + 4x = 1.

1. When x = 2, both expressions have a value of 18. Let's find out:

1st expression : 7(2) + 4 = 14+4 = 18

2nd expression : 3(2) + 5 + 4(2) = 1

or 6 + 5 + 8 - 1 = 18

Values of both the expressions is 18, hence it is correct statement.

2.The expressions are only equivalent for x = 4 and x = 6.

This is incorrect statement as we just calculated above that the expressions are equivalent for x = 2. Hence, it is incorrect.

3. The expressions have equivalent values for any value of x.

Say, x = 0, then,

7x + 4 = 7 (0) + 4 = 4 and,

3x + 5 + 4x - 1 = 3(0) + 5 + 4(0) - 1 = 5-1 = 4

The statement holds.

Let's try again for x = 12,

7x + 4 = 7(12) + 4 = 88 and,

3x + 5 + 4x - 1 = 3(12) + 5 + 4(12) - 1 = 36 + 5 + 48 -1 = 88

Let's try again for x = 13,

7x + 4 = 7(13) + 4 = 95 and,

3x + 5 + 4x - 1 = 3(13) + 5 + 4(13) - 1 = 39 + 5 + 52 -1 = 95

Clearly, it holds for every value of x, whether it is odd or even. Hence, it is correct statement.

_______________________________________________________

Trick: 7x + 4 = 0....(1) and,

3x + 5 + 4x = 1

Rearranging the terms of above expression, we get,

(3x + 4x) + (5 - 1) =0

or 7x + 4 = 0...(2)

clearly both (1) & (2) are equivalent.

_____________________________________________________

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2 years ago

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Answer:

Step-by-step explanation:

THE ANSWER IS 9

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3 years ago