Mathematics, 05.03.2021 18:50 squidywar297

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40.

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You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

First let’s define a shirt as X and pants as Y!

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation

-3X. - 3X

Net result: Y= 32- 3X

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation

-7X + 96 = $40 —> substrate 96 from both sides

-7X = -56 —> divide both sides by -7

X= 8

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

ANSWER: X= 8, Y= 8

If I am wrong I am sorry >_<

Answer from: davelopez979

The shirts cost $8 each and the pants cost $8 each.

Step-by-step explanation:

Let’s represent them by equations:

For you: 3x+y=32

For your friend: 2x+3y=40

Let’s simplify your equation:

y=32-3x

Now we can put it into the second equation, since we now know what y equals.

2x+3(32-3x)=40

2x+96-9x=40

Subtract 96 from both sides

2x+-9x=-56

-7x=-56

Divide by -7 on both sides

x=8

So x is 8.

Now we know what x equals, so we can substitute the 8 into the 1st equation:

3(8)+y=32

24+y=32

Subtract 24 from both sides

y=8

The shirts cost $8 each and the pants cost $8 each.

Answer from: Quest

answer: $\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

$\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

which is the required equation for finding the value of x,

$\frac{x}{sin40^{\circ}}= \frac{12}{sin60^{\circ}}$

$x= 12\times \frac{sin40^{\circ}}{sin60^{\circ}}$

$x= 12\times 0.74222719896$

$x= 8.90672638762\approx 8.967$

Answer from: Quest

I'm not sure but i think it's 1670km/h

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