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2 years ago

3xc = -5, solve for x

Mathematics

1 answer:

atroni [7]2 years ago

4 0

Answer:

$x = -\dfrac{5}{3c}$

Step-by-step explanation:

You want x alone on the left side.

x is being multiplied by 3 and by c.

The opposite operation of multiplication is division. You must divide 3xc by 3c to end up with just x.

You must do the same operation to both sides of an equation, so divide both sides by 3c.

$3xc = -5$

Divide both sides by 3c.

$\dfrac{3xc}{3c} = \dfrac{-5}{3c}$

Simplify both sides.

$x = -\dfrac{5}{3c}$

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Explain and find CD please

oksano4ka [1.4K]

Answer:

$CD \approx5.29$

Step-by-step explanation:

By geometric mean theorem:

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2 years ago

Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur

Gelneren [198K]

I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:

13x + 14y = $250.90
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This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:

52x + 56y = $1003.60
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Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.

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3 years ago

Read 2 more answers

HELPP 35 POINTS!!!!! Point Q is the center of Circle Q in the diagram below. The measure of angle XAY is 72° (m∠XAY = 72°). Sinc

Paladinen [302]

Answer:

Se explanation

Step-by-step explanation:

The diagram shows the circle with center Q. In this circle, angle XAY is inscribed angle subtended on the arc XY. Angle XQY is the central angle subtended on the same arc XY.

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle. Therefore,

$m\angle XBY=2m\angle XAY=2\cdot 72^{\circ}=144^{\circ}$

The measure of the intercepted arc XY is the measure of the central angle XQY and is equal to 144°.

All angles that have the same endpoints X and Y and vertex lying in the middle of the quadrilateral XAYQ have measures satisfying the condition

$72^{\circ}$

because angle XAY is the smallest possible angle subtended on the arc XY in the circle and angle XQY is the largest possible angle in the circle subtended on the arc XY.

6 0

3 years ago