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4 years ago

Solve for y. 5x-10y=-40

Mathematics

2 answers:

marusya05 [52]4 years ago

4 0

Y=4

-10/-10 = -40/-10

-40/-10 = 4

Andru [333]4 years ago

4 0

This is the answer x = 8 + 2y

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A square picture with side length 30 cm is scaled by 60% on a photocopier the copy is then scaled by 60% again. What is the side

Sonja [21]

Answer:

10.8 cm

Step-by-step explanation:

we know that

1) A square picture with side length 30 cm is scaled by 60% on a photocopier

Remember that

$60\%=60/100=0.60$

The length of the first copy of the picture is

$30(0.60)=18\ cm$

2) The copy is then scaled by 60% again

The length of the second copy of the picture is

$18(0.60)=10.8\ cm$

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3 years ago

a new car is purchased for $17,900 the value of the car depreciates at 13% per year what will the value of the car be to the nea

liberstina [14]

Answer:

The value of the car would be 6753

Explanation

<u>Year | Value < | Deprec. | Balance</u>

Year 1 17900 2327 15573

Year 2 15573 2024 13549

Year 3 13549 1761 11787

Year 4 11787 1532 10255

Year 5 10255 1333 8922

Year 6 8922 1160 7762

Year 7 7762 1009 6753

https://goodcalculators.com/percentage-depreciation-calculator/ - Where I got your answer if you have more problems like this!

3 0

4 years ago

Prove the identity 2csc2x=csc^2xtanz

Verizon [17]

Step-by-step explanation:

Consider the LHS, after the 5th step, consider the RHS

$2 \csc(2x) = \csc {}^{2} (x) \tan(x)$

$2 \frac{1}{ \sin(2x) } = \csc {}^{2} (x) \tan(x)$

$2 \times \frac{1}{2 \sin(x) \cos(x) } = \csc {}^{2} (x) \tan(x)$

$\frac{1}{ \sin(x) \cos(x) } = \csc {}^{2} (x) \tan(x)$

$\csc(x) \sec(x) = \csc {}^{2} (x) \tan(x)$

Consider the RHS

$\csc(x) \sec(x) =( 1 + \cot {}^{2} (x) ( \tan(x))$

$\csc(x) \sec(x) = \tan(x) + \cot(x)$

$\csc(x) \sec(x) = \frac{ \sin(x) }{ \cos(x) } + \frac{ \cos(x) }{ \sin(x) }$

$\csc(x) \sec(x) = \frac{1}{ \sin(x) \cos(x) }$

$\csc(x) \sec(x) = \csc(x) \sec(x)$

7 0

2 years ago

A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at

lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

$Q(t) = Q(0) - at$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that $Q(0) = 8, a = 7/10 = 0.7$ . So

$Q_{r}(t) = 8 - 0.7t$

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that $Q(0) = 6, a = 1/5 = 0.2$ . So

$Q_{b}(t) = 6 - 0.2t$

After how many hours will both candles be the same height ?

This is t when

$Q_{r}(t) = Q_{b}(t)$

$8 - 0.7t = 6 - 0.2t$

$0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2$

Multiplying by (-1)

$0.5t = 2$

$t = \frac{2}{0.5}$

$t = 4$

Both candles will have the same height after 4 hours.

6 0

4 years ago

Could someone please help

myrzilka [38]

19 x 4 is the equation and the answers is 76

8 0

4 years ago

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