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9 months ago

2 1/2x + 1/4 + 3/4x = 1/8

1 answer:

6 0

$\frac{5}{2}x+\frac{1}{4} +\frac{3}{4} x=\frac{1}{8} \\\\\frac{5}{2}(8)x+\frac{1}{4} (8)+\frac{3}{4}(8) x=\frac{1}{8}(8)\\20x+2+6x=1\\20x+6x=1-2\\26x=-1\\\frac{26x}{26} =\frac{-1}{26} \\x=-\frac{1}{26}$

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Simplify (-2x^4y^-3)^4

elixir [45]

Answer:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

Step-by-step explanation:

We want to simplify:

$( - 2 {x}^{4} {y}^{ - 3} )^{4}$

We need to apply the exponential property for products of powers.

Recall that:

$( {a}^{m} \times {a}^{n} )^{p} = {a}^{mp} \times {a}^{np}$

We apply this rule to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = ( { - 2)}^{4} x \times {x}^{16} \times {y}^{ - 12}$

This simplifies to:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = 16 {x}^{16} \times {y}^{ - 12}$

We rewrite as positive index to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

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3 years ago

An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh

inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

Therefore,

$3.6x+7.5y=21,600$

Now write y in terms of x.

$7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}$

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$

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3 years ago

Please help!!!<br> will pick brainliest

olga55 [171]

Answer:

circumference is 81.68

area is 530.93

Step-by-step explanation:

C=2πr=2·π·13≈81.68141

A=πr2=π·132≈530.92916

8 0

2 years ago

When Angela was born, her grandparents deposited $2,500 into a college savings account paying 3% interest compounded CONTINUOUSL

Kitty [74]

Answer:

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Step-by-step explanation:

5 0

3 years ago

What is 5/6 + 3/8 in the simplest form

zlopas [31]

5/6 + 3/8

Convert to denominators of 24:

20/24 + 9/24

Add the numerators:

29/24

Convert to mixed number:

1 5/24

3 0

3 years ago

Read 2 more answers