MATHEMATICS MIDDLE SCHOOL

PROBLEM #1Keith has $500 in a savings account at the beginning of the
summer. He wants to have at least $200 in the account by the
end of summer. He withdraws $25 a week for his cell phone
bill.
Write an inequality that represents Keith's situation.

Answers

Answer 1

Answer:

Answer:

500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

Initial amount: 500

2. He wants to have at least $200 in the account by the end of summer.

Final amount ≥ 200

3. He withdraws $25 a week for his cell phone bill.

Call w the number of weeks

Withdrawls = 25w

4. Write an inequality that represents Keith's situation.

Create your model: Final amount = Initial amount - withdrawals ≥ 500

500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

500 - 200 ≥ 25w

300 ≥ 25w

300/25 ≥ w

12 ≥ w

w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

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If the diameter of a circle is 14in what is the circles radius?

Answers

Answer:

r= 7in

Step-by-step explanation:

Answer:

r= 7in

Step-by-step explanation. :)

Which fraction is equal to 0.8? A. 1/8 B. 8/10 C. 1/80 D. 8/100

Answers

Answer: 8/10

Step-by-step explanation: Using the place value chart, we can see that 0.8 means eight-tenths which can be written as the fraction 8/10. Since 8/10 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 8 and 10 which is 2 to get 4/5.

Therefore, 0.8 can be written as the fraction 8/10.

b is the answer but if you reduce it , it will be 4/5

Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does olivia need for 18 balloons

Answers

$1yd=3ft\to1ft=(1)/(3)yd\n--------------------\n2.5ft\to1\ ballon\n\ntherefore\n\n18*2.5ft=45ft\to18\ ballons\n\n45ft=45*(1)/(3)yd=\boxed{15yd}\leftarrow answer$

Answer:

15 yards of ribbon does olivia need for 18 balloons

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 5 miles per hours.

As pert the statement:

Olivia ties 2.5 feet of ribbon onto one balloon.

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 2.5$ ft ribbon

Use conversion:

1 feet = 1/3 yard

then;

2.5 ft = 0.833333333 yard

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 0.833333333$ yard ribbon

We have top find how many yards of ribbon does olivia need for 18 balloons

$\text{Number of ribbons} = \text{Unit rate per balloons} * 18$

Substitute the given values we have;

$\text{Number of ribbons} = 0.83333333 * 18 = 15$ yards

Therefore, 15 yards of ribbon does olivia need for 18 balloons

What is 84.985 rounded to the nearest tenth

Answers

84.985 rounded to the nearest tenth is 85

85.0 i think is the answer i think it is 85.0

a large serving of soup from Dayton's restaurant is 4/5 liters. The restaurant has 4 liters of soup leftover at the end of the night. How many servings of soup does the restaurant have left?

Answers

The restaurant has 5 servings left.
All you do is multiply 4 by 1.2

So what we have to do is divide the total of 4 liters by the fraction 4/5.

That gives us:

4 ÷ 4/5

Well before we go any further with the expression, we have to remember we can't actually divide by a fraction. So, instead, we multiply by the fraction's reciprocal. That gives us:

4 x 5/4

Now that we can do.

4 x 5/4 = 20/4, which we simplify to 5.

Dayton's restaurant has 5 servings of soup left. Hope I helped :)

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