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DedPeter [7]
3 years ago
14

A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160

cubic centimeters of concrete mix?
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer: 100\ cm^3

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is 160\ cm^3

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3

Sand 5x=5\times 20=100\ cm^3

So, there is 100\ cm^3 of sand in the mixture

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3 years ago
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4x + 10 = 2x - 14<br> Find the value of x.
Gre4nikov [31]

Answer:

x= -12

Step-by-step explanation:

Simplifying

4x + 10 = 2x + -14

Reorder the terms:

10 + 4x = 2x + -14

Reorder the terms:

10 + 4x = -14 + 2x

Solving

10 + 4x = -14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

10 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x

10 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 2x = -14 + 0

10 + 2x = -14

Add '-10' to each side of the equation.

10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = -14 + -10

2x = -14 + -10

Combine like terms: -14 + -10 = -24

2x = -24

Divide each side by '2'.

x = -12

Simplifying

x = -12

3 0
3 years ago
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10tu^3 + 4v - 3v<br><br> must combine like terms solve or rewrite expression
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10tu³ + v is the simplified form.

<h3>What is algebraic expression?</h3>

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

to learn more about algebraic expression refer to:

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2 years ago
A grain of sand has a mass of 2.6 × 10–3 gram. A grain of salt has a mass of 6.5 × 10–2 gram. How many times greater is the mass
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Answer:

C

Step-by-step explanation:

2.6 x10^-3= .0026

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The sampling distribution has a mean of 0.03 and a standard error of 0.007. The researchers' sample mean comes back at 0.026. In
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Answer:

z = -0.57

Step-by-step explanation:

A z-score indicates how much away is something from the mean so it can be more(above) than the mean or less(below) than the mean.

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