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3 years ago

2. Richie solved the equation 24x + 18(x - 2) = 216 for x.

Mathematics

2 answers:

sertanlavr [38]3 years ago

7 0

Step-by-step explanation:

42x=252

x=252/4

x=6

well hope that helps

slavikrds [6]3 years ago

5 0

Answer: Answer is the steps

Step-by-step explanation:

Step 1: Richie rewrite the equation as 24x + 18(x-2) =216

Step 2: Richie applied the distributive property to eliminate the parentheses and got the equation 24x + 18x - 32 = 216

Step 3: Richie combine like terms to get the equation 42x -36 =216

Step 4: Richie added 36 to both sides to get the new equation 42x = 252

Richie was not done solving for x so in

Step 5: Richie should have divided both sides by 42 to get the final answer

x = 6.

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The reciprocal of 8 is -8 True False

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3 years ago

1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?

Svetlanka [38]

$a^{2}+ b^{2} = c^{2}$ that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
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8 0

3 years ago

You want to install a 2 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the

GrogVix [38]

Answer:

157 square yards.

Step-by-step explanation:

Given:

Width of walk around a circular swimming pool = 2 yard

The diameter of the pool = 23 yard

Question asked:

What is the area of the walk ?

Solution:

To find area of walk, we will first calculate area of the pool and then combined area of pool and walk then after we will subtract the area of pool from combined area.

The diameter of the pool = 23 yard

Radius of the pool = $\frac{diameter }{2}=\frac{23}{2} =11.5\ yard$

$Area\ of\ circle=\pi r^{2}$

$=3.14\times(11.5)^{2} \\=3.14\times11.5\times11.5=415.265\ square\ yard$

As width of walk around a circular swimming pool is 2 yard :

New radius will be = 11.5 + 2 = 13.5 yard

$Combined\ area =\pi r^{2} \\$

$=3.14\times13.5\times13.5=572.265\ square\ yard$

Now, area of the walk = Combined area of pool and walk - Area of the pool

= 572.265 - 415.265

= 157 square yards

Therefore, area of the walk is 157 square yards.

4 0

3 years ago

Read 2 more answers

whats the lateral area of a right circular cone if the diameter of the base is 4m and the slant height of the cone is 15m? round

alex41 [277]

First is to understand the terms. Lateral area is the surface area of a 3D figure, excluding the area of any base.
Laterial Area (L.A.) of a right cone = pi*radius*slant height 
radius = 1/2 * diameter 
L.A. = pi*(1/2)*(4)*(15)=30*pi 

the formula for this is pi*r*rt(r^2 + h^2). If the diameter is 4, then the radius is 2. If the slant height is 15, then to get the real height we use the Pythagorean Theorem and get rt(221). So the lateral area is pi*2*rt(2^2 + (rt221)^2)...= 2pi*rt(225) = 30pi = 94.248 meters squared which is rounded to 94 meters squared.

8 0

3 years ago