Dave wants to install carpet in his room. The room is rectangular in shape with a length of 16 feet and a width of 12 feet. If the total cost of installing the carpet is $288, what is the unit price of carpet per square foot?

Answers

Answer 1

Answer: Hello there!

If you multiply 12 by 16, you get 192. Divide 288 by 192 ( being the total amount of square feet. ) and you get 1.5, essentially being $1.50 per square foot.

To check this, multiply 192 by 1.5 and you will get 288.

Answer 2

Answer: Ok so the width is 12 and the length is 16 so we will multiply those: 12 x 16=192 so now we divide 288 by 192= 1.5 or %1.50 so the answer is %1.50 per square foot Hope this helped!!

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The Bike Store pays $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?

Answers

You would first do $120 (0.6) = $72
$72 + $120 = $192

Hope this helped! Good luck!!! :)

120/ 10= $12 or 10% of the $120. Then you you multiply that my 6 which is 60% of the $120 so that is 12*6=72. Then you add that to 120, 120+72= $192 final price of bike after mark up.

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Answers

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$(8yellow)/(20total) = (Xyellow)/(100total)$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$(8yellow)/(20total) = (Xyellow)/(100total) \n 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \n 8*100=20*x \n 800=20x \n 800/20=20x/20 \n x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

Hot dogs buns come in packages of 8 for the school picnic mr spencer bought 30 packages of hot dog buns . How many hot dog buns did he buy

Answers

Answer:

240 buns

Step-by-step explanation:

Hot dogs buns come in packages of 8.

Mr Spencer bought 30 packages of hot dog buns for the school picnic.

We have to multiply 30 packages with number of buns in one package.

He bought total number of hot dog buns = 30 × 8

= 240 buns

Mr. Spencer bought 240 hot dog buns.

He bought 240 hot dog bun for the picnic you need to multiply 30x8=240

SOLVE BY SUBSTITUTION:3x-2y=14
y=5x
solve by substitution
x-2y=-2
y=2x+4
solve by elimination
x+2y=-7
x-5y=7
PLEASE HELP WORTH 10 POINTS! AKA SHOW WORK:)

Answers

1)
3x-2y=14
y=5x

So we plug in y=5x into 3x-2y=14

We get:

3x-2(5x)=14
3x -10x=14
-7x=14
x=-2

So we found x, now we need to find y. We can simply plug in x into the equation and get y.

y=5x
y=5(-2)
y=-10

So your answer will be (-2,-10).

2)
x-2y= -2
y= 2x+4

Once again plug in y=2x+4 into x-2y=-2

x-2(2x+4) = -2
x-4x-8=-2
-3x-8=-2
-3x = 6
x= -2

Now we plug back in x and solve for y :)

y=2x+4
y=2(-2)+4
y=-4+4
y=0

So our solution would be (-2,0).

3)
x+2y=-7
x-5y=7

Multiply the second equation by -1

-x+5y=-7

Now add that equation with the other one:

x+2y=-7
+
-x+5y=-7
-----------------
7y=-14
y=-2

Now plug in y=-2 and solve for x

x+2y=-7
x+2(-2)=-7
x+(-4)=-7
x-4=-7
x=-3

So your solution would be (-3,-2).

1)

$3x-2y=14\n \n y=5x$

We know y's value. Let's plug it in the equation.

$y=5x\n \n 3x-2\cdot (5x)=14\n \n 3x-10x=14\n \n -7x=14$

Divide both sides by -7.

$x=-2$

Now we have x's value. Let's plug it in the equation to find y.

$x=-2\n \n y=5x\n \n y=5\cdot -2\n \n y=-10$

Solution,

(-2, -10)

2)
$x-2y=-2\n \n y=2x+4$

Again we have y's value. Let's plug and solve.

$y=2x+4\n \n x-2\cdot (2x+4)=-2\n \n x-(2\cdot 2x+2\cdot 4)=-2\n \n x-4x-8=-2\n \n -3x-8=-2\n \n -3x=-2+8\n \n -3x=6\n \n x=\frac { 6 }{ -3 } \n \n x=-2$

Now we have x's value let's solve for y.

$x=-2\n \n y=2x+4\n \n y=2\cdot (-2)+4\n \n y=-4+4\n \n y=0$

Solution,

(-2, 0)

3)

$x+2y=-7\n \n x-5y=7$

Let's first multiply the first equation by -1

$-1\cdot (x+2y)=-1\cdot -7\n \n -x-2y=7$

Then let's add these new equation and the second equation.

$-1\cdot (x+2y)=-1\cdot -7\n \n -x-2y=7\n \n x-5y=7\n \n (-x-2y)+(x-5y)=7+7\n \n -x+x-2y-5y=14\n \n -7y=14\n \n y=\frac { 14 }{ -7 } \n \n y=-2$

Now we have y's value let's plug it and solve for x.

$y=-2\n \n x+2y=-7\n \n x+2\cdot (-2)=-7\n \n x-4=-7\n \n x=-7+4\n \n x=-3$

Solution,

(-3, -2)

How can I split five brownies between three people

Answers

Each person will get a full brownie leaving you left over with 2 full brownies. You can cut both of the remaining brownies into 3rds giving you 6 pieces. Each person can then get 2 prices. This is 1 and 2/3 brownies per person

Each person will get 1 and 2/3 of brownies

pt fiecare leu pe care il economiseste tudor primeste de la tatal lui 3 lei.astazi si a numarat banii si a constatat ca tata ia dat cu 48 de lei mai mult decat a economisit el.cati banii are tudor in puscalita?

Answers

No they were not 48 men

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