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ruslelena [56]
3 years ago
15

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

9 = (1/27)^(a+3)

3² = (3^-3)^(a+3)

3² = 3^(-3a-9)

2 = -3a-9

-3a = 11

a = -11/3

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Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. y\ \alpha \ xz

y=k(xz)      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2

Required equation: y=2(xz)  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4

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polet [3.4K]

Answer:

Step-by-step explanation:

An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given. An equation is a mathematical statement or sentence comprised of two equalities or expressions joined with an equal sign.

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Nadusha1986 [10]

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5 times a number increased
Brrunno [24]

Answer:

18

Step-by-step explanation:

Let's make this information into an equation.

We'll use 'x' whenever the problem says "a number".

Equation:

5x + 18 = 36 + 4x

How did I get to this equation?

  • 5 times a number means 5 multiplied by x
  • increased by 18 means to add 18
  • is the same as means equals
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  • 4 times the number means 4 multiplied by x

Now, let's solve.

Solve:

5x + 18 = 36 + 4x

Subtract 18 on both sides:

5x + 18 = 36 + 4x

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5x = 18 + 4x

Subtract 4x on both sides:

5x = 18 + 4x

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x = 18

Therefore, "the number" is 18.

4 0
3 years ago
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