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fomenos
1 year ago
15

Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the

equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Mathematics
2 answers:
Brilliant_brown [7]1 year ago
5 0

Answer: Which operation must be performed to move all the constants to the right side of the equation? Subtract 0.4

Then, which operation must be performed to isolate the variable? Divide by -9 on both sides

The solution to the equation is x =0.4

Step-by-step explanation:

I just did it on edgen

Alexandra [31]1 year ago
4 0

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4

<h3>Thus, the answer to this equation is x= -0.4</h3>
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A high school track is shaped as a rectangle with a half circle on either side.
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Answer:

Step-by-step explanation:

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

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8 0
2 years ago
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An 60 ounce bottle of grape juice contains 33 ounces of water a 50 ounce bottle of cranberry juice has 30 ounces of water which
sp2606 [1]

Answer:

Bottle containing cranberry juice has a greater percent of water.

Step-by-step explanation:

A 60 ounce bottle of grape juice contains 33 ounces of water.

So the percentage of water in the bottle = \frac{\text{Amount of water}}{\text{(Amount of water + juice)}}\times 100

= \frac{33}{60}\times 100

= 55%

Similarly 50 ounces bottle of cranberry juice contains 30 ounces of water.

So the percentage of water in the bottle =  \frac{\text{Amount of water}}{\text{(Amount of water + juice)}}\times 100

= \frac{30}{50}\times 100

= 60%

Therefore, bottle containing cranberry juice has a greater percent of water.

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1 year ago
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The lengths of a particular snake are approximately normally distributed with a given mean Mu = 15 in. and standard deviation Si
Liula [17]

Answer: 5%

Step-by-step explanation:

Let see that the snakes that are longer than 16.6 in are lomger than mean at 16.6-15=1.6 in

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That means that 100%-95.4%=4.6% or about 5% of the snakes are longer than 16.6 in

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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the
Butoxors [25]

Answer:

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Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

(AB)^2=(BC)^2+(AC)^2

(13)^2=(BC)^2+(5)^2

169=(BC)^2+25

BC=12

\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin A=\frac{BC}{AB}

A=\sin ^{-1}\frac{12}{13}

A=67.38

Bisector divides the angle in two equal parts, therefore,

A'=\frac{67.38}{2} =33.69

In triangle ACD.

\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}

\cos A'=\frac{AC}{AD}

\cos (33.69^{\circ})=\frac{5}{AD}

0.832=\frac{5}{AD}

AD=\frac{5}{0.832} =6.009\approx 6.01

Therefore the length of the angle bisector of angle ∠A is 6.01.

4 0
2 years ago
The price of a car was decreased by 16% to £2400. What was the price before the decrease?
miss Akunina [59]

Answer:

  £2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

  £2400 = 0.84 · (original price)

  £2400/0.84 = original price ≈ £2857.14

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