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lesya692 [45]
2 years ago
11

1. Work 8m + 5 = 6m + 17 Reason Given Statement

Mathematics
2 answers:
Reil [10]2 years ago
8 0

Step-by-step explanation:

8m + 5 = 6m + 17

subtract 6m on both sides

2m +5 = 17

subtract 5 on both sides

2m = 12

divide 2 on both sides

m = 6

snow_tiger [21]2 years ago
6 0

Answer:

m = 6

Step-by-step explanation:

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What is the volume of this rectangular prism?
ollegr [7]

Answer:

57,600cm {}^{2}

<em><u>Solving steps:</u></em>

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

=> 40 cm{}^{2} × 30cm{}^{2} × 48 cm{}^{2}

multiply all the numbers

=> 57,600cm{}^{2}

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8 0
2 years ago
Read 2 more answers
3(2 + f) = -15<br><br>A. 3<br>B. 7<br>C. -3<br>D. -7​
Scilla [17]

Answer:

D. (-7)

Step-by-step explanation:

3(2 + f) = (-15)

(3 . 2) + (3 . f) = (-15)

6 + 3f = (-15)

3f = (-15) - 6

3f = (-21)

f = (-21)/3

f = (-7)

5 0
2 years ago
Read 2 more answers
Mr. Drew wants to build a square sandbox with an area of 289 square feet. What is the total length of wood Mr. Drew needs to mak
alisha [4.7K]

Answer:

  68 feet

Step-by-step explanation:

A square with area 289 ft² has sides √289 = 17 ft long. There are 4 of them so the perimeter is 4×17 ft = 68 feet.

Mr. Drew needs 68 feet of wood for the sides of the sandbox.

5 0
3 years ago
To find 25% of a number, divide the number by
Vadim26 [7]

Answer:

To calculate 25 percent of a number, simply divide it by 4. For example, 25 percent of 12 is 12 divided by 4, or 3. 10 percent means one tenth. To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left.

Step-by-step explanation:

8 0
3 years ago
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An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
Tanya [424]

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size n_1 = 71

Sample size n_2 = 31

Sample mean \overline x_1 = 41628

Sample mean x_2 = 36,379

Population standard deviation \sigma_1 = 4934

Population standard deviation \sigma_2 = 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at z_{0.02/2} = 2.33

The Margin of Error = z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }

= 2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }

= 2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }

= 2.33 \times \sqrt{906504.06 }

= 2218.40

The Lower limit = ( \overline x_1 - \overline x_2) - (Margin \ of \ error)

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = ( \overline x_1 - \overline x_2) + (Margin \ of \ error)

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

5 0
3 years ago
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