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3 years ago

Rewrite 3/7 with a denominator of 28

1 answer:

6 0

28 is 4 times 7. So, to make the fraction equal you must also multiply the numerator by 4
4x3 =12 so the new fraction would be 12/28

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How do i solve m - 4/9 = -2 67/90

Diano4ka-milaya [45]

Answer:

m=-23/10

Step-by-step explanation:

-2 67/90=-247/90

m-4/9=-247/90

m=-247/90+4/9

m=-247/90+40/90

m=-207/90

m=-23/10

3 0

3 years ago

(a) Starting with the geometric series [infinity] xn n = 0 , find the sum of the series [infinity] nxn − 1 n = 1 , |x| < 1.

Mila [183]

Let <em>f(x)</em> be the sum of the geometric series,

$f(x)=\displaystyle\frac1{1-x} = \sum_{n=0}^\infty x^n$

for |<em>x</em>| < 1. Then taking the derivative gives the desired sum,

$f'(x)=\displaystyle\boxed{\dfrac1{(1-x)^2}} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=1}^\infty nx^{n-1}$

5 0

2 years ago

Common denominator of 3, 4, 5.

gtnhenbr [62]

Answer:

The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The graph shows the function f(x)=3^x

tangare [24]

The answer is D.
You have to make the whole numbers equal to then solve for the exponents:
F(x) means y, therefore, y is 9.
9 = 3^x.
3^2 is the same as 9.
Then, 3^2 = 3^x.
Then solve for the exponents,
2 = x
Therefore your answer is 2.

8 0

3 years ago

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will

Feliz [49]

Answer:

$W \le 6$

Step-by-step explanation:

Given

$Area = 60ft^2\ (max)$

$Length = 10ft$

Required

Represent the width as an inequality

First, we represent the area as an inequality.

$Area = 60ft^2\ (max)$

max as used above means less than or equal to.

So, we have:

$Area \le 60$

The area of a rectangle is:

$Area = L * W$

So, we have:

$L * W \le 60$

Substitute 10 for L

$10 * W \le 60$

Divide both sides by 10

$\frac{10 * W}{10} \le \frac{60}{10}$

$W \le \frac{60}{10}$

$W \le 6$

7 0

3 years ago