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Troyanec [42]
3 years ago
10

Raise the following fractions to a higher term...

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

1. B

2. B

Step-by-step explanation:

To find the missing term, find the scale factor between the fractions - the number which multiplies to one to make the other.

1. 7 x __ = 35

7x 5 = 35 therefore 5 is the scale factor. Multiply 15 x 5 = 75

2. 8 x ___ = 32

8 x 4 - 32 therefore the scale factor is 4. Multiply 1 x 4 = 4.

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How to solve (3m+7)(2m-1)
Bad White [126]

the answer is

6m^2+11m-7

hope this helps

5 0
3 years ago
A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
1. Solve the following equations for x:
worty [1.4K]

Answer:

  • A. X=-12
  • B. X=102
  • C. X=44
  • D. X=15

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3><u>Part A. x-9=-21</u></h3>

<u>First, add by 9 from both sides.</u>

x-9+9=-21+9

<u>Solve.</u>

-21+9=-12

<u>X=-12</u>

<h3><u>Part B. 10+x=112</u></h3>

<u>Switch sides.</u>

x+10=112

<u>Subtract by 10 from both sides.</u>

x+10-10=112-10

<u>Solve.</u>

112-10=102

<u>X=102</u>

<h3><u>Part C. 14=x-30</u></h3>

<u>Switch sides.</u>

x-30=14

<u>Add by 30 from both sides.</u>

x-30+30=14+30

<u>Solve.</u>

<u>x=44</u>

<h3><u>Part D. 12-x=3</u></h3>

<u>Switch sides.</u>

x-12=3

<u>Add by 12 from both sides.</u>

x-12+12=3+12

<u>Solve.</u>

<u />

<u>Add the numbers from left to right.</u>

3+12=15

<u>x=15</u>

  • <u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0
2 years ago
What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³ Outline of cone with dotted line rising from middle of
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What are the lenghs or radius?

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3 years ago
Air consists of 78% nitrogen, 20% oxygen, 1% water vapor, 0.97 % inert gases and 0.03% carbon dioxide and other gases. How many
fenix001 [56]

Answer:

d hope it helps make brainlliest ty

3 0
3 years ago
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