MATHEMATICS MIDDLE SCHOOL

What is 2 to the fourth power plus 81 minus 50 plus 5?

Answers

Answer 1
Answer: I believe it is 52. Sorry if I'm wrong.
Answer 2
Answer:

Answer:52


Step-by-step explanation:

2^4 = 16

Then..

16+81 =97

Then..

97-50 = 47

Lastly..

47+5 = 52

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Given: ∠H and ∠X are supplementary. Prove: l || n

Answers

I won't write out a formal proof; here's an outline.

H+X=180.  definition of supplementary
H+F=180   crossing lines
X=F           supplements of the same angle are equal, or just algebra          
l || n          When the alternate angles of a transverse line between two lines are congruent, the lines are parallel

sonya can walk 12 kilometers in 4 hours. If she has to walk 15 kilometers, how much time will it take her?

Answers

First, We Should Find The Unit Rate...
12 kilometers
------------------
    4 hours
We Need To Simplify. 12/4 Can Be Simplified To 3/1. So, 3 kilometers/1 hour is the unit rate. Now, We Need To Change It To 15/X. 
15       3
----  = ----
 X        1
Solve For X. To Solve, Multiply Means And Extremes. The Equation Becomes: 
3X = 15*1.
Simplify.
3x = 15.
Now, Divide Both Sides By 3.
X = 15/3.
15/3 = 5. 
X = 5.
So, Sonya Can Walk 15 Kilometers In 5 Hours. :D

Rocky has 7 bottles of water. He will buy more bottles of water from the store. The store has 8 cases in stock and each case contains 24 bottles of water. The store will not sell partial cases. The function that models the number of bottles of water Rocky will have after his purchase is f(c)=24c+7, where c is the number of cases of water he buys. What is the practical domain of the function?


What is the practical domain of the function?

(a) {31, 55, 79, 103, 127, 151, 175, 199}{31, 55, 79, 103, 127, 151, 175, 199}

(b) {1, 2, 3, 4, 5, 6, 7, 8}{1, 2, 3, 4, 5, 6, 7, 8}

(c) all real numbers from 1 to 8, inclusive

(d) all real numbers

Answers

The correct answer is:

(b) {1, 2, 3, 4, 5, 6, 7, 8}

Explanation:

In this problem, we use the variable c to represent the independent quantity.  This means that the domain is all possible values for c.

Since the store only has 8 cases of water, the domain cannot be any number larger than 8.

Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number.

This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.

The practical domain of the function is all positive integer because c represents the number of case, and there is no negative number of case and it is not sold in partial so only positive integer can satisfy the given function. 

Ryans living room is 10 feet wide, 12 feet long, and 10 feet high. If one gallon of paint covers 400 square feet of surface area, how many gallons of paint would Ryan need to paint all four walls and the ceiling? Please help.

Answers

we have to calculate the suface of the four walls and the ceiling.
Surface of the four walls=2(10 ft * 10ft ) + 2(12 ft * 10 ft)=200 ft² + 240 ft²=
=440 ft²
Surface of the ceiling=10 ft * 12 ft=120 ft²

Total surface=440 ft² + 120 ft²=560 ft²

Now, we have to caluclate the number of gallons of paint.

1 gallon------------------------400 ft²
x----------------------------------560 ft²

x=(1 gallon * 560 ft²) / 400 ft²=1.4 gallons.

answer: Ryan need to paint all four walls and the ceiling 1.4 gallons.

What is the theoretical probability that the coin will land on tails

Answers

1/2 cause their are two probabilities out of 2
heads = 1
tails = 1
A coin would land on tails about 50% considering there is 2 sides to it, if it had to land on it again then 1/4.

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Answers

1.) C - The solution is also -12 because negatives multiplied by negatives cancel each other out. 
2.) D - What you did was you chose the answer that looked like where C is. Notice how there is a square root symbol next to the numbers. 
4.) C - The square root is 8.3666002534... It would round to 8 and 9.
7.) A - 5 to the third power is 125. (5 x 5 x 5 = 125)

Hope this helped somehow!

Answer:

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Step-by-step explanation:
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