1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr-060686 [28]
3 years ago
5

Tyrell exercised this week both by walking and by biking. He walked at a rate of 4 mi/h and biked at a rate of 12 mi/h. The tota

l distance he covered both walking and biking was 36 miles and Tyrell spent one more hour walking than biking.
A. Define a variable and write an equation for this solution.

B. How many hours did Tyrell spend on each activity?
Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

A. The equation is 4(t + 1) + 12t = 36

B. He spent 2 hours on biking and 3 hours on walking

Step-by-step explanation:

* Lets explain how to solve the problem

- Tyrell walked at a rate 4 miles per hour

∴ His speed on walking is 4 miles/hour

- Tyrell biked at rate 12 miles per hour

∴ His speed on biking is 12 miles/hour

- The total distance he covered both walking and biking was

  36 miles

- Assume that he walked x and biked y

∴ x + y = 36 ⇒ (1)

- Tyrell spent one more hour walking than biking

- Assume that he biked for t hours

∵ He walked one more hour than he biked

∵ He biked for t hours

∴ He walked for t + 1 hours

A.

∵ Distance = speed × time

∴ x = 4 × (t + 1)

∴ x = 4(t + 1)

∴ y = 12 × t

∴ y = 12t

- Substitute x and y in equation (1)

∴ 4(t + 1) + 12t = 36 ⇒ the equation

B.

* Lets solve the equation

- Multiply the bracket by 4

∴ 4t + 4 + 12t = 36

- Add like terms in left hand side

∴ (4t + 12t) + 4 = 36

∴ 16t + 4 = 36

- Subtract 4 from both sides

∴ 16t = 32

- Divide both sides by 16

∴ t = 2

∵ t represents the time of biking

∴ He biked for 2 hours

∵ t + 1 represents the time of walking

∵ t + 1 = 2 + 1  = 3

∴ He walked for 3 hours

You might be interested in
What is the slope of y=-4
Paraphin [41]

the slope of y= -4 is 0

6 0
3 years ago
Read 2 more answers
There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be atta
docker41 [41]

Answer:

Number of Possible Sequence = 5 x 4 x 3 x 2 x 1 = 120 ways

Please give 5-star rating

3 0
2 years ago
Michelle made 26 more sales calls last month than Allen. Together, they made 120 calls. How many calls were made by Michelle?
algol13

Answer

73

Step-by-step explanation:

you need to subtract the 26 from 120 to get 94 divide that by 2 to get 47 so thats haw many calls they each made then add on the 26 to find her amount to get 73

6 0
2 years ago
Math help please show work I will make brainlist if correct thanks
emmasim [6.3K]

Step-by-step explanation:

number 1 is 68 degrees Fahrenheit and number 2 is 98.6=37 degrees Celsius and 102 fahrenheit is higher than the normal

6 0
2 years ago
Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x - 3?
Ipatiy [6.2K]

Answer:

A.

Step-by-step explanation:

1) to rewrite the given equation:

f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;

2) the roots are:

\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}

3) finally, the correct answer is A.

4 0
1 year ago
Other questions:
  • If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
    15·1 answer
  • A racing car used 255 litres of fuel to complete a 340 km race. On average, how many litres of fuel did the care use every 100 k
    13·1 answer
  • Solve for x parellograms
    15·1 answer
  • How do you write 3x-y=14 in slope intercept form
    5·1 answer
  • Given the equation y = 2x - 8, what is the slope and the y-intercept?
    5·2 answers
  • According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth o
    8·2 answers
  • Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $490. The store has a sale
    15·1 answer
  • A classroom board is 48 inches wide and 32 inches tall.
    13·1 answer
  • A light bulb consumes 3600 watts- hours per day. How many watt - hours does it consume in 5 days and 6 hours?
    13·2 answers
  • Using the distributive property, which expressions are equivalent to 12+4x?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!