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.
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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
A = 143 m^2 because the height is 11 m and the width is 13 m if you add 9+4.
Answer:
(1, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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
- 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>
- Combine 2 equations: 17y = 34
- Divide 26 on both sides: y = 2
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define equation: 12x - 10y = -8
- Substitute in <em>y</em>: 12x - 10(2) = -8
- Multiply: 12x - 20 = -8
- Isolate <em>x</em> term: 12x = 12
- Isolate <em>x</em>: x = 1