Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures 16 1/3 feet by 6 feet.
1. How much cardboard does he need to paint?
2. If one bottle of paint covers an area of 30 square feet, how many bottles of paint does Andre need for his backdrop? (Remember, he can't buy a partial bottle of paint.)

Answer:

X=4

Step-by-step explanation:

3x-2y=8

x+y=6

multiply second equation by 2 so you can eliminate y

2(x+y)=2(6)

2x+2y=12

now add two equations together

first equation:                          3x-2y=8

modified second equation     2x+2y=12

added together eliminates y. 5x+0=20

                                                   X=4

Answer:

.

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

https://www.calculator.net/slope-calculator.html

That website has the best explanation ^^^^^

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]m=\frac{\text{rise}}{\text{run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (5, -3) (-1, 6).

[tex]\frac{6-(-3)}{-1-5}=\frac{9}{-6} =-\frac{9}{6}=\boxed{-\frac{3}{2}}[/tex]

Hope this helps you!

Answer:

down below

Step-by-step explanation:

inside of a triangle is 180 degrees

[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]

now that we have our x we can find the angles

[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]

Answer:

The diver was 34 feet below sea level

Answer:

C)

Step-by-step explanation:

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The Pythagorean theorem applies. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

  8² = x² + 6²

  64 = x² +36

  28 = x²

  √28 = x ≈ 5.3

The missing measure is 5.3.

_____

Comment on the question

The triangle isn't marked, but we must assume it is a right triangle. If it is not a right triangle, we cannot find the missing measure.

Answer:

Step-by-step explanation:

Answer:

483.84

Step-by-step explanation:

Answer:

483.84

Step-by-step explanation:

Answer:

Symmetric

Step-by-step explanation:

The dot plot provided is almost symmetric :

Obtaining the median value :

2, 3, 5, 5, 6, 6, 6, 6, 7, 7, 7, 9

1/2 ( n + 1)

n = 12

1/2 (13) = 6.5

(6 + 6) /2

12 /2

= 6

Counting the number of points to the left and to the right of the median vlaue in the plot, we'll see that the difference in values aren't entirely different, and as such folding along the median value won't leave too much on one side than the other. Hence, the plot is symmetric.

Answer:

34.8 to 1 dp

Step-by-step explanation:

18/2 = 9

Area of rectangle 18 X 9 = 162 cm^2

diameter of each circle 9

radius = 4.5

Area of a circle = πr^2

π X 4.5^2 = 63.6172512

63.6172512 X 2 (there are 2 circles) = 127.234502

162 - 127.234502 = 34.7654975

34.8 to 1dp

Answer:

hope this helps you. look it once.

That's Question 8 attached

#9

Angles that are distinct

Angles less than 180°

2 different measures

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Answer:

Step-by-step explanation:

Hope it helps

#CarryOnLearning

Answer:

20

Step-by-step explanation:

You have to divide to find the answer so

4/1 * 5/1

Which will get you to 20.

Answer:

If she is only driving the car for a day, she will only have to pay the one-time fee of $35 per day

35+0.75x=150

x being the number of miles

x= 153.3 miles

Answer:

10y+ 21 ≥ 16

Step-by-step explanation:

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

Answer:

$45000

Step-by-step explanation:

Given data

Net income =$50,400

Let the prior year income be x

12/100*x +x= 50400

0.12x+x= 50400

1.12x= 50400

x= 50400/1.12

x= $45000

Hence the prior year income is $45000

Answer:

Step-by-step explanation:

Let the invested amount is x.

Then the interest amount is:

Correct choice is A

Answer:

2 out of 10

Step-by-step explanation:

Simple math

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attached graph shows the original triangle (red) reflected over y=-2 (purple) and translated left 4 units (blue).

Answer:

2. 7.079

Step-by-step explanation:

The nine on the second choice is on the thousandths place. The nines on the other options are higher.

Hope this helps!

Answer:

Approximately 3.605 units

Step-by-step explanation:

AB= B -A = [tex]\left[\begin{array}{ccc}5\\9\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8\\0\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3\\9\end{array}\right][/tex]

|AB| = √x²+y² = √(-3)²+2² = √9+4 =√13 = 3.605 units

Answer:

7:20 A.M.

Step-by-step explanation:

5+35+10=50 mins

So she has to leave 50 mins before 8:10 A.M.

which is 7:20 A.M.

Answer:

y=lxl

Step-by-step explanation:

Answer:

y=|x|

Step-by-step explanation:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,