Evaluate.

[120 + (12 ÷ 3 • 30)] ÷ 20 + 102

Answers

Answer 1
Answer: ([120 + ( (12.30)/(3) )])/(20) +102  ==> \n  \n  \n  (120+(120))/(20) +102==> \n  \n  (240)/(20) +102=12+102==> \n  \n 114 \n  \n \framebox[1.1\width]{Good Luck !} \par
Answer 2
Answer: You would take 12 divided by 3 to get 4. Take 4 times 30 to get 120. 120+120 is 240. 240 divided by 20 is 12. 12+102 is 114. 114 is your answer

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tell whether the quotient is greater than or less than divided when you divide a whole number by a fraction explain your reason

Answers

well it has to be grater because  if you know that when dividing you must  do bigger divided by smaller it can't be the other way around

2(7 + 8n) = 4n - 10​

Answers

Use Photomath.................

Answer:

n= -2

Step-by-step explanation:

Hope this help

How many solutions does the equation have?4(2x + 3)= 2(3x-4)

A. one solution
B. Infinite solutions
C. no solution

Answers

4(2x + 3)= 2(3x-4) \n \n 2(2x + 3) = 3x - 4 \ / \ divide\ each \ side \ by \ 2 \n \n 4x + 6 = 3x - 4 \ / \ expand \ equation \n \n 4x + 6 - 3x = -4 \ / \ subtract \ 3x \ from \ each \ side \n \n x + 6 = -4 \ / \ simplify \n \n x = -4 - 6 \ / \ subtract \ 6 \ from \ each \ side \n \n x = -10 \ / \ simplify \n \n Answer: \fbox {A) One solution / x = -10}
4(2x + 3) = 2(3x - 4)

Keep in mind the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac

So, apply the distributive property to get:

4(2x) + 4(3) = 2(3x) - 2(4)

Simplifying that more, we get:

8x + 12 = 6x - 8

Subtract 6x on both sides

8x + 12 - 6x = 6x - 8 - 6x
8x - 6x + 12 = -8
2x + 12 = -8

Subtract 12 on both sides

2x + 12 - 12 = -8 - 12
2x = -8 - 12
2x = -20

Divide by 2 on both sides

2x/2 = -20/2
x = -20/2
x = -10

There is only one solution, so your answer is A. one solution.

Clayton Road is 2.35 miles long. Wood Pike Road is 1.7 miles long. Draw a quick picture to find the combined length of Clayton Road and Wood Pike Road

Answers

Answer:

4.05 miles.

Step-by-step explanation:

See the attached diagram. (not in scale)

Let AB is the Clayton Road and its length is 2.35 miles and BC is the Wood Pike Road and it is 1.7 miles long.

So, the combined length of Clayton Road and Wood Pike Road is AC (= AB + BC)

So, the length of AC will be (2.35 +1.7) miles = 4.05 miles. (Answer)

The ratio of red marbles to blue marbles is 1/3. There are 24 marbles in all. How many red marbles and how many blue marbles are there?

Answers

24/3 equals 8. SOOOOO 1/3 of 24 is 8. So 8 Red and 16 Blue
If the ratio is 1 divided by 3, Then you need to make a fraction of marbles equal to 1/3. If there are 24 marbles in all, divide this by 4, which equals 6. For every 1 red marble there is 3 blue marbles, which means that if there is 6 red marbles, multiply 6x3 = 18. So there are 6 red marbles and 18 blue marbles. 6/18 is the same as 1/3, so the ratio is correct.

rosa wants to use $20 to buy games. The inequality 2.50k+5.50≤20.00 represent the number of games, k, she can buy with her money. What is the greatest number of games Rosa can buy?

Answers

Answer:

The greatest number of games Rosa can buy is 5

Step-by-step explanation:

Let

k ----> the number of games, k, that Rosa can buy with her money

we have

2.50k+5.50\leq 20.00

solve for k

subtract 5.50 both sides

2.50k\leq 20.00-5.50

2.50k\leq 14.50

divide by 2.50 both sides

k\leq 5.8\ games

therefore

The greatest number of games Rosa can buy is 5