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11111nata11111 [884]
2 years ago
8

10 POINTS PLEASE HELP

Mathematics
1 answer:
GaryK [48]2 years ago
7 0

Answer:

divided the two problems and then that would be your mi

Step-by-step explanation:

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solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102
Karo-lina-s [1.5K]

1. You have the following equation:

\frac{9}{2}(8-x)+36=102-\frac{5}{2} (3x+24)

2. First, you must apply the Distributive property:

\frac{72}{2}-\frac{9x}{2}+36=102-\frac{15x}{2}-\frac{120}{2}

3. Simplify:

36}-\frac{9x}{2}+36=102-\frac{15x}{2}-60

3. Add the like terms:

-\frac{9x}{2}+\frac{15x}{2}=102-60-36-36\\ 3x=-30

4. Solve for x:

x=-\frac{30}{3} \\ x=-10

Therefore, the answer is: x=-10

3 0
3 years ago
Find the surface area of the prism
Dmitry_Shevchenko [17]

Answer:

<h2>          740 m²</h2>

Step-by-step explanation:

The surface area of a prism is a sum of areas of all of its faces

2×(¹/₂×16×15) + 2×(17×10) + 16×10 = 240 + 340 + 160 = 740 m²

4 0
2 years ago
Rhoda has 27 unit cubes how many rectangular prisms with different sized bases can she make if she uses all the unit cubes in ea
GalinKa [24]
Factors of 27 are 1, 3, 9, 27.
She can make 5 rectangular prisms os sizes 1 x 1 x 27 or 1 x 3 x 9 or 1 x 9 x 3 or 3 x 3 x 3 or 3 x 9 x 1
6 0
3 years ago
-6-5
tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
The fastest speed a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming. What is the
Marrrta [24]

Given there is no speed given for the fastest swimming, the tennis ball is 13.07 times f(Fastest Swimming), or 13.07f.


3 0
2 years ago
Read 2 more answers
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