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lilavasa [31]
4 years ago
5

Make m the subject in a(c+m)=2(c+3m)

Mathematics
1 answer:
Murrr4er [49]4 years ago
3 0

Answer:

m = \frac{2c-ac}{a-6}

Step-by-step explanation:

distribute parenthesis on both sides

ac + am = 2c + 6m ( collect terms in m on left side )

subtract 6m from both sides

ac + am - 6m = 2c ( subtract ac from both sides )

am - 6m = 2c - ac ( factor left side )

m(a - 6) = 2c - ac ( divide both sides by (a - 6))

m = \frac{2c-ac}{a-6}


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A cone-shaped container has a height of 9 inches and diameter of 2.5 inches. It is filled with a
guapka [62]

Answer:

the total value of the liquid in the container is $29.4

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

Given data

Height h= 9 inches

Radius r= diameter/2= 2.5/2= 1.25in

Substituting we have

V= 1/3(3.14)*(1.25)²*9

V= 1/3*(3.14)*14.06

V= 44.156/3

V= 14.7in³

The volume of the cone is 14.7in³

Hence If 1 in³ of liquid costs $2

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3 0
3 years ago
Write each expression as a multiple power of 10
KatRina [158]

Answer:

ok

Step-by-step explanation:

3 0
3 years ago
Factor the expression given below. Write each factor as a polynomial in
kherson [118]

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is \sqrt[3]{1st} + \sqrt[3]{2nd}

2. The second factor is ( \sqrt[3]{1st} )² - ( \sqrt[3]{1st} ) ( \sqrt[3]{2nd} ) + ( \sqrt[3]{2nd} )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ \sqrt[3]{343x^{3}} = 7x

∵ \sqrt[3]{216y^{3}} = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

#LearnwithBrainly

6 0
3 years ago
Wilma is twice as old as Jamal, and Jamal is 3 years older than Tim. The sum of all their ages is 17.
oee [108]
<span>If x = Jamal's age , 2x = Wilma's age , x - 3 = Tim's age.
The sum of the ages is 17. 
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Hope this helps!</span>
4 0
3 years ago
Which expressions are equivalent to 2r + (t + r)?
Lesechka [4]
I’m not sure what the choices are so I don’t know what the correct answer is but expressions that could be equivalent are

r+r+t+r

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5 0
3 years ago
Read 2 more answers
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