MATHEMATICS MIDDLE SCHOOL

The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?12 and 12

14 and 10

21 and 15

18 and 6

Answers

Answer 1

Answer:

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10

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Whats 27h divided by 3h in standard form
Write and equivalent expression for 24x+16
Need help with all And have to show work
Solve the proportional equation below: 4/7=28/(x+18)

Could anyone please help me find k divided by 9 = 12 as well as 84n = 504 and 6 = m over 148? I need explanations...

Answers

k / 9 = 12
Multiply each side of the equation by 9 : k = 108

84 n = 504
Divide each side of the equation by 84 : n = 6

6 = m / 148
Multiply each side of the equation by 148 : 888 = m

Find the volume of 2 , 10 1/5 , and 4 1/4

Answers

Answer:

86.7

Step-by-step explanation:

2 x 10.2 x 4.25 = 86.7

To find the volume you need to multiply all these 3 values.

After multiplying it all that amount will be the answer.

Simplify (3x – 2y) – (4x + 5y).7x + 3y

-x - 7y

12x – 10y

7x – 7y

Answers

Answer:

-x - 7y

Step-by-step explanation:

(3x – 2y) – (4x + 5y).

= 3x - 2y - 4x - 5y

= -x - 7y

Answer:

-1x-7y

Step-by-step explanation:

3x-4x= -1x

-2y-5y= -7y

Describe how to find 5-(-8) on a number line. If you found the difference using counters, would you get the same result? Explain

Answers

First of all 5-(-8) is the same thing as 5+8. So you would add 5+8=13

* A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How soon will they meet?

Answers

Answer:

200 ft 200

t = -------------------- = ---------- min

(S + T) ft/min S + T

Step-by-step explanation:

Recall that distance = (rate)(time).

The distance traveled by the turtle in t minutes is dt = (T ft/min)(t), and

the distance traveled by the snail in t minutes is ds = (S ft/min)(t). We know that ds + dt must be 200 ft.

Thus,

(S ft/min)(t) + (T ft/min)(t) = 200 ft.

The variable t, representing elapsed time, is common to both terms on the left. Thus,

200 ft 200

t = -------------------- = ---------- min

(S + T) ft/min S + T

Answer:

S+T

Step-by-step explanation:

To win a game, you need at least 45 points. Each question is worth 3 points. Write and solve an inequality that represents the number of questions you need to answer correctly to win the game.

Answers

Answer:

$3x\geq 45$ ; At-least 15 questions.

Step-by-step explanation:

Let x represent the number of questions you need to answer correctly..

We have been given that each question is worth 3 points. The points earned from answering x right questions would be $3x$ .

Since we need at-least 45 points to win the game, so points earned from answering x questions would be greater than or equal to 45. We can represent this information in an equation as:

$3x\geq 45$

$(3x)/(3)\geq (45)/(3)$