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Paraphin [41]
1 year ago
13

The bar diagram represents 24 hours in one day and shows a mark at 30%If you sleep 30% of the day, how many hours do you sleep?

Enter your answer in the box24Hours sleptPercent0%30%100%hoursPlease help
Mathematics
1 answer:
horrorfan [7]1 year ago
8 0

Let:

100%---------------->24h

30%------------------>xh

Using cross multiplication:

\begin{gathered} \frac{100}{30}=\frac{24}{x} \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=\frac{30\cdot24}{100} \\ x=\frac{720}{100}=7.2h \end{gathered}

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John and Elijah are both driving from New York City to Richmond. John leaves
alina1380 [7]

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

More about the speed link is given below.

brainly.com/question/7359669

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3 0
2 years ago
The perimeter of a rectangular field is 328 yards. if the width of the field is 72 yards, what is its length?
skelet666 [1.2K]
92

328-72-72=184

184/2=92
7 0
3 years ago
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Mayumi plans to buy pencils and a notebook at the school store. A pencil costs $0.15, and a The notebook costs $1.59. Mayumi has
Elina [12.6K]

Answer: 0.15p+1.59n ≤ 5.00

Step-by-step explanation:

Given: A pencil costs $0.15, and a The notebook costs $1.59.

Let p = Number of pencils.

n = Number of notebooks.

Total cost of pencil and notebook = 0.15p+1.59n

Since Mayumi has $5.00.

So, Total cost of pencil and notebook ≤ $5.00

⇒ 0.15p+1.59n ≤ 5.00

Hence, the required inequality: 0.15p+1.59n ≤ 5.00

3 0
3 years ago
Find the area of this figure.<br> A =
Alexxx [7]
A = 143 m^2 because the height is 11 m and the width is 13 m if you add 9+4.
7 0
3 years ago
Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8
12345 [234]

Answer:

(1, 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x + 9y = 14

12x - 10y = -8

<u>Step 2: Rewrite Systems</u>

-4x + 9y = 14

  1. Multiply everything by 3:                    -12x + 27y = 42

<u>Step 3: Redefine Systems</u>

-12x + 27y = 42

12x - 10y = -8

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                    17y = 34
  2. Divide 26 on both sides:                y = 2

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define equation:                    12x - 10y = -8
  2. Substitute in <em>y</em>:                       12x - 10(2) = -8
  3. Multiply:                                  12x - 20 = -8
  4. Isolate <em>x</em> term:                        12x = 12
  5. Isolate <em>x</em>:                                 x = 1
6 0
3 years ago
Read 2 more answers
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