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postnew [5]
1 year ago
5

If he paints 1/2 of the wall blue, hoy many square feet will be blue?

Mathematics
1 answer:
Katen [24]1 year ago
6 0

To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

\begin{gathered} A=(8\frac{2}{5})(16\frac{2}{3}) \\ A=(\frac{42}{5})(\frac{50}{3}) \\ A=(14)(10) \\ A=140 \end{gathered}

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

(140)(\frac{1}{2})=70

Therefore, 70 square ft are blue.

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Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie
timama [110]

Answer:

  • (16, 7)

Step-by-step explanation:

Given rectangle JKLM

As per graph, the rectangle J'K'L'M' is the transformation of JKLM

Based on one of the points we can calculate the transformation rule:

<u>Let's use points K and K'</u>

  • K((-4, -8) → K'(6, -5)
  • 6 - (-4) = 10
  • -5 - (-8) = 3

<u>So the rule is </u>

  • (x', y') → (x + 10, y +3)

<u>Trapezoid STUV:</u>

  • Using point T(6, 4)

<u>Applying same rule:</u>

  • T' = (6 + 10, 4 +3) = (16, 7)
6 0
3 years ago
Given m parallel to n, find the value of x, (7x+14) and (9x-8)
iVinArrow [24]

Answer:

x=11

Step-by-step explanation:

(7x+14)=(9x-8)

7x-9x=-14-8

-2x=-22

-2x/-2=-22/-2

x=11

8 0
2 years ago
What is the x-coordinate of the solution of the system?<br> x+y+3<br> 4x-y=-38
steposvetlana [31]

<em>Note: I am assuming the first equation is:</em>

<em>x+y = 3</em>

Answer:

The solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}

subtracting the equations

x-y=-38

-

\underline{x+y=34}

-2y=-72

solve -2y for y

-2y=-72

Divide both sides by -2

\frac{-2y}{-2}=\frac{-72}{-2}

y=36

For x+y=34 plug in y = 36

x+36=34

Subtract 36 from both sides

x+36-36=34-36

Simplify

x=-2

Thus, the solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

6 0
3 years ago
Help! What is 5(3^3*3^-3) (Use Laws of Exponents)<br> Thanks:)
RideAnS [48]
(3^3)* (3^-3)= 3^0
Remember that if you have the same base, add the exponents.

3^0=1

5(1)=5

Final answer: 5
3 0
3 years ago
What is the area of the trapezoid and how do you find it?
seraphim [82]
You can use the formula 2(a+b2(\frac{a+b}{2} )
This will get you 161.5 ft

:)
8 0
3 years ago
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