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
Need help please!!!!<br>​
Simora [160]

Answer:

15/x-2

Step-by-step explanation:

Cant attach the photo but you use a division table

6 0
3 years ago
Target sells a pack of iTunes gift cards for $40. Sam's Club sells them for $38.88. What is the percent decrease from Target's p
patriot [66]

We have been given that target sells a pack of iTunes gift cards for $40. Sam's Club sells them for $38.88. We are asked to find the percent decrease from Target's price to Sam's Club's price.

We will use percent decrease formula to solve our given problem.

\text{Decrease percent}=\frac{|\text{Final}-\text{Initial}|}{\text{Initial}}\times 100\%

\text{Decrease percent}=\frac{|38.88-40|}{40}\times 100\%

\text{Decrease percent}=\frac{|-1.12|}{4}\times 10\%

\text{Decrease percent}=\frac{1.12}{4}\times 10\%

\text{Decrease percent}=0.28\times 10

\text{Decrease percent}=2.8\%

Therefore, the percent decrease from Target's price to Sam's Club's price is 2.8%.

3 0
3 years ago
at a salsa making competition restaurant a won 56 out of 98 contests restaurant B won 84 out of 147 contests which restaurant ha
kaheart [24]

Answer:

It's a tie!

Step-by-step explanation:

The reason it was a tie is because

56/98 = 0.57 meaning that 57% of Restaurant A won

84/147 = 0.57 meaning that 57% of Restaurant B also won!

7 0
3 years ago
Sandra saves 11% of her salary for retirement. This year her salary was $1,000 more than in the previous year, and she saved $4,
Katyanochek1 [597]

First find her salary this year by dividing the amount she saved by the percentage saved:

$4,620 / 0.11 = $42,000

Her salary now is $1000 more than the previous year, so now subtract $1000 from her present salary:

42,000 - 1,000 = $41,000

5 0
3 years ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 ​ of a blanke
Gnesinka [82]

Answer:


Step-by-step explanation:

Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter.  No of days left =60

No of days to complete one blanket = 1/(1/15) = 15 days

Hence in 60 days she has to complete ≥3 blankets

No of days she has to utilize for this will be ≥3(15)=45

No of days she can skip crocheting ≤15

Let x be the no of days crocheted and y no of days skipped

Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

No of blankets can be either 3 or 4.


4 0
3 years ago
Read 2 more answers
Other questions:
  • 800 grams equals how many pounds?
    6·1 answer
  • 15 is 6% of what number?
    13·2 answers
  • Plz help me. how many solutions
    15·2 answers
  • Solve H = 5as +10a for s.
    5·1 answer
  • Simon is training for a marathon. His daily running path, in miles, is represented by the rectangle plotted in the coordinate pl
    13·2 answers
  • What is the converse of the statement “If an angle is a right angle, then it measures 90 degrees”? ...?
    6·1 answer
  • Patrick says that .500 is greater than .50 and .5 is he correct?
    13·1 answer
  • Ll<br>3. first six terms of 3 + 9 + 27 + ...​
    13·1 answer
  • PLZ ANSWER!!! ONLY IF YOU ARE CORRECT!
    5·1 answer
  • Asnwer question in screenshot pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!