Solve the system of equations.
14x + 5y = 31
2x – 3y = -29
2 =
y =

Answer:

y=-2/3x+6

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

3(x-4)=2x+6

3x-12=2x+6

3x-2x=6+12

x=18

Answer:

[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]

Hope it helps!

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

Answer:

18

Step-by-step explanation:

18 is the correct answer

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]

Answer:

0.53535353535354

53/99 as a decimal is 0.53535353535354.

Step-by-step explanation:

Just Divide 53 into 99

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!! if it DID ,  FRIEND me!!

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

Answer:

p = 7

Step-by-step explanation:

2p = 14

p = 14/2

p = 7

Answer:

Step-by-step explanation:

Answer:

scientific" (and any subsequent words) was ignored because we limit queries to 32 words.

Your search - This Question: 1 pt 20 of 20 This Qu th The pH of a fruit juice is 2.9. Find the hydronium ion ... - did not match any documents.

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Answer:

1) (3,-6)

left 1 up 4

(2,-2)

reflection over y axis

(-2,-2)

2) (3,-6)

Reflection over y axis

(-3,-6)

x times 3 and y times 3

(-9,-18)

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the Trigonometric Ratios

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

[tex]cos(72)=\frac{6.6}{x}[/tex]

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have [tex]xcos(72)=6.6[/tex]

Step 2 divide each side by cos(72)

[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

Answer:

D. Not congruent

Step-by-step explanation:

Answer:

Option C is your answer

Step-by-step explanation:

21,22,  23,  26,29,  32,  34,38,  40,  42,43

Yes, Q1 is 23, median is 32, Q3 is 40

So the box should start on 23, end on 40, and have its inner line over 32.

In your picture, that's option C

Answer:its c

Step-by-step explanation:i took the test

Answer:

4 and 6?

im not sure if you meant numbers

Step-by-step explanation:

Answer:

5 and 7

Step-by-step explanation:

Let the two numbers be x and x + 2.

According to Question ,

[tex]\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }[/tex]

Hence the nos . are 5 and 7

Answer:

its 0.59

Step-by-step explanation:

Because if you divide 7.08 and 12 then you get the answer.

Answer:

2x+4 or 4+2x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

50.24/3.14

= 16

16/2

= 8

Answer:

2 x 10^6

Step-by-step explanation:

10^6 = 1,000,000

2 x 1,000,000 = 2,000,000

10^5 = 100,000

9 x 100,000 = 900,000

2,000,000 > 900,000

Answer:

68

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

It is an rational

Step-by-step explanation:

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer