MATHEMATICS MIDDLE SCHOOL

Ralph is 3 times as old as Sara in 4 years, Ralph will be only twice as old as Sara will be then. Find Ralphi's age now

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation: Let x represents Sara's age, since Ralph is 3 times as old, the Ralph's age will be 3x.

In 4 years time, Sara will be  x+ 4 , Ralph will also be 3x + 4

It was said that Ralph will be as twice as Sara's age in 4 years

⇒ 3x + 4 = 2 ( x+4)

⇒  3x + 4 = 2x + 8

collecting the like terms

3x - 2x = 8 - 4

        x = 4

Since x represents Sara's age, then Sara is 4 years and since Ralph is presently 3 times Sara's age, then Ralph's age is 3 x 4 = 12 years

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True or False, the following 4 ordered pairs are solutions to the following equation:y = -2x + 11(-1,13), (0,11), (1,9), (2,7)

Answers

Answer:

I Think I will disagree the fact that it's true

Step-by-step explanation:
I think I’ll disagree with the fact that it’s true

You have a jar of candy with 24 pieces of chocolate candies and 14 lollies. You take one piece of candy from the jar, put it back and then take another from the jar at random. What is the probability you will get 1 chocolate and 1 lollies?

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so there is a 14/38 chance that you will get a lollie and a 24/38 chance you will get a chocolate.
all you have to do is multiply these together
14/38x24/38
=84/361

A fruit company delivers its fruit in two types of boxes:large and small. A delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. A delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. How much does each type of boxes weigh?

Answers

Answer:

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Step-by-step explanation:

Let

x -----> the weight of large box

y ----> the weight of small box

we know that

The system of equations is equal to

9x+7y=216 -----> equation A

3x+5y=90 -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (18.75,6.75)

therefore

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Mrs. Dimas has $130 to buy basketballs for Edison Middle School

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Mrs. Dimas has $130 to but basketballs for Edison Middle School. How many can she buy at $15 each? interpret the reminder

you can't go over budget

cost=cost per backetball times number of basketbals
cost=15 times b
cost≤130
15b≤130
divide both sides by 15
b≤8 and 10/15
b≤8 and 2/3
round down because you can't buy 2/3 basketball

buy 8
the remainder means you have 2/3 of $15 left or $10

Answer:

8$

Step-by-step explanation:

Explain how you know that 7/12 is greater than 1/3 but less than 2/3

Answers

To compare, all denominators must be the same. So, find the common denominator for 12,3&3, which is 12 (12x1=12, 3x4=12). Whatever you do for the bottom you must also do for the top. So, 7x1/12x1= 7/12, 1x4/3x4=4/12, and 2x4/3x4=8/12. Therefore 7/12 is greater than 1/3 (AKA 4/12) but less than 2/3 (AKA 8/12).
the denominators have to be the same that's the short way to say what she said

What is 75/100 simplified

Answers

75/100 simplified is 3/4
because we can divide 75 by 5 witch is 15, and divide 100 by 5 which is 20. you can also divide 15 and 20 by 5, 15 divided by 5 is 3 and 20 divided by 5 is 4. the 3 is the numerator and the 4 is the denominator. 
75/100 divided by 5 equals 15/20 divided by 5 again to equal to 3/4
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