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Gelneren [198K]
3 years ago
7

One side of a rectangle is 9 inches and the other side is x inches. What values of x will make the perimeter at most 46? a x &lt

; 14 b x ≤ 14 c x ≥ 14 d 0 < x ≤ 14
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

The correct answer is:

x ≤ 14 (b)

Step-by-step explanation:

first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:

Perimeter of a rectangle = 2(Length) + 2(width)

Let the length = x inches

let the width = 9 inches

Perimeter = 2x + 2(9)

46 = 2x + 18

2x = 46 - 18

2x = 28

x = 28 ÷ 2

x = 14

Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):

x is less than or equal to 14 (x ≤ 14)

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Which of the following groups are subsets of rational numbers
Artist 52 [7]
None of the above. There are real numbers that aren't rational (these are the irrational numbers). Some rational numbers are integers, but not all. The same goes for natural numbers. And irrational numbers are numbers that are not rational.
5 0
3 years ago
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How do I get the answer for this quadratic equation in simplest form?
konstantin123 [22]

Answer:

x = 7 ± \sqrt{15}

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

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(x - 7)² = 15 ( take the square root of both sides )

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3 0
3 years ago
Can anyone help me with this problem
Kisachek [45]
In order to do this you first have to solve the parenthesis. Why because the pemdas tells you so, first parenthesis then exponents then multiplication then division then addition and then subtraction. So first subtract 7 from 9 to get (2)^-3 now multiply 2 3 times. -2*-2*-2 to get -8

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6 0
3 years ago
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madam [21]
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4 0
3 years ago
What is the similarity ratio of a cube with volume 216 m³ to a cube with volume 2744 m³
maks197457 [2]

Answer:

A. 3:7

Step-by-step explanation:

The volume of the smaller cube is 216 m³.

The volume of the larger cube is 2744 m³

Let the  similarity ratio be l:L

The volume of these two cubes are in the ratio:

l^3:L^3=216:2744

This implies that:

(\frac{l}{L})^3 =\frac{216}{2744}

We take the cube root of both sides to obtain:

\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}

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Therefore the ratio is 3:7

6 0
3 years ago
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