3 Students collected 600 cans for the canned food drive.

Alexus [3.1K]

Well first add up all the numbers of marbles (which is 34 in total) and divide it by the number of black marbles.
(which should give you 8/34)
Then simplify the fraction and you should get 4/17

8 0

3 years ago

Read 2 more answers

Kelvin finished $\frac{2}{3}$ 2 3 of his test in a $\frac{1}{2}$ 1 2 hour. Express this rate in hours per test.

svet-max [94.6K]

Complete Question

Kelvin finished 2/3 of his test in a 1/2 hour. Express this rate in hours per test.

Answer:

3/4 hours per test

Step-by-step explanation:

2/3 of his test = 1/2 hour

This rate in hours per test is calculated as:

x = 1/2 /2/3

x = 1/2 hour ÷ 2/3 test

x = 1/2 × 3/2

x = 3/4 hours per test

This rate in hours per test is given as 3/4 hours per test

4 0

2 years ago

Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary.

enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

(4/7)*100=400/7=57.1%

Part 2) Rename .709 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

so

To find the estimate value

21 shoots is about 20

81.25% is about 80%

so

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

To find the estimate value

23.95 is about 24

48% is about 50%

so

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

so

$58.50*(15/100)=$8.78

To find the approximate value

$58.50 is about $60

$60*(15/100)=$9

Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

x=25%

Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

Part 10) Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn?

we know that

$59,000 ------> represent the 100%

using proportion

Find how much money represent 3% of the commission

59,000/100%=x/3%

so

X=$59,000*(3/100)=$1,770

4 0

2 years ago

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.

alukav5142 [94]

Answer:

A ≈ $500

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

A is final amount
P is initial (principle) amount
r is rate
n is number of compounds
x is number of years

Step-by-step explanation:

Step 1: Define

P = 230

r = 0.063

n = 365

x = 12

Step 2: Solve for A

Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
Add: A = 230(1.00017)⁴³⁸⁰
Exponents: A = 230(2.1296)
Multiply: A = 489.808

3 0

2 years ago

Read 2 more answers

If h(x) = -5x -10 find (h-2)

gizmo_the_mogwai [7]

H(x) = -5x - 10
h(-2) = -5(-2) - 10
h(-2) = 10 - 10
h(-2) = 0

8 0

3 years ago