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Inga [223]
2 years ago
6

The sum of two and three times the difference of a number and five is equal to four times the difference a number and one.

Mathematics
1 answer:
Andru [333]2 years ago
4 0

Answer:

x=-9

Step-by-step explanation:

We translate the phrase into an equation:

2+3(x-5)=4(x-1)\\

Then we simplify:

2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x

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3/4 (x - 3) - 5 = 1/8 ( x - 1 )
KonstantinChe [14]

Answer:

x = - \frac{57}{5}

Step-by-step explanation:

\frac{3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - \frac{57}{5}

3 0
2 years ago
What is the solution of the inequality x^3+3x^2>7x+6
sveta [45]

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

3 0
2 years ago
How many cubes with side lengths of \dfrac14\text{ cm}
bogdanovich [222]

Answer:

Step-by-step explanation:

Correct question

How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?

We know that,

Volume of a cube is s³

V = s³

Where 's' is length of side of a cube

Given that

The cube has a length of ¼cm, and a cube has equal length

s= ¼cm

Then, it's volume is

V = s³

V = (¼)³ = ¼ × ¼ × ¼

V = 1 / 64 cubic unit

V = 0.015625 cubic unit

Then, given that the volume of the prism to be filled is 4 cubic unit

Then,

As, we have to find the number if cubes so we will divide volume of prism by volume of one cube

Then,

n = Volume of prism / Volume of cube

n = 4 / 0.015625

n = 256

So, then required cubes to filled the prism is 256 cubes.

5 0
3 years ago
Read 2 more answers
Justin used 3/4 of a gallon of paint on 3/4 of a wall. How many gallons does he need for one wall?
blondinia [14]

Answer:

Step-by-step explanation:

1/4

7 0
3 years ago
Read 2 more answers
Read the paragraph below. Which would be the most helpful peer review comment to make about the writer’s style?
sasho [114]

Answer:

“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”

Step-by-step explanation:

5 0
1 year ago
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