jim began to bike a 173 mile bicycle trip to build up stamina for a for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at the rate of 38 miles per hour , find the amount of time he spent on the bicycle

Answers

Answer 1

Answer

3.5 hours

Step-by-step explanation:

Let us represent

The time spent walking as x

The time spent riding as y

Jim began a 146​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 5 hours.

Hence:

x + y = 5.... Equation 1

x = 5 - y

If Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour,

The formula for Distance = Speed × time. Hence,

4 × x + 40 × y = 146 miles

4x + 40y = 146.... Equation 2

We substitute 5 - y for x in Equation 2

4(5 - y) + 40y = 146

20 - 4y + 40y = 146

Subtract 20 from both sides

20 - 20 - 4y + 40y = 146 - 20

- 4y + 40y = 146 - 20

36y = 126

y = 126/36

y = 3.5 hours

Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours      

I think this is right I had this question I think it was the same one I dont know tho


Related Questions

What is the value of mc015-1.jp g?

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

1456

Step-by-step explanation:

This question is asking us to find the sum of [tex]4(3)^{n-1}[/tex] from n = 1 to n = 6. We can find the sum like this:

[tex]4(3)^{1-1} +4(3)^{2-1} +4(3)^{3-1} +4(3)^{4-1} +4(3)^{5-1} +4(3)^{6-1}[/tex]

Which can be simplified to:

[tex]4(3)^{0} +4(3)^{1} +4(3)^{2} +4(3)^{3} +4(3)^{4} +4(3)^{5}[/tex]

[tex]4(1) +4(3) +4(9) +4(27)+4(81) +4(243)[/tex]

[tex]4 +12 +36 +108+324 +972 = 1456[/tex]

Consider the situations.
i. The value of an investment increases by $30 every year.
ii. The value of an investment decreases by 10% every year.
In which situation(s) is (are) the investment(s) changing at a constant rate?
both i and ii
only i
only ii
neither i norii

Answers

Only i.

If the value is changing by a certain dollar amount every year, this means it is a constant rate of change. If it is changing by a certain percentage every year, this means it is changing at a non uniform, specifically exponential, rate.

10 Mrs. Randall bought tickets to the art museum for all the fifth-grade students. Each ticket cost $12, and the total cost of the tickets was $1,152. How many fifth-grade students are there?​

Answers

Answer:

Step-by-step explanation:

12s=1152 (divide each side by 12 to isolate s)

s=96

So there were 96 students.

Nutritionists measured the sugar content (in grams) for 32 drinks at Jake's Java

coffee shop. The drinks had a mean sugar content of 18g and a standard

deviation of 5g, and the distribution was roughly symmetric.

Question 1: Grande Mocha Cappuccino at Jake's Java contains 14 g of sugar.

Calculate the standardized score (z-score) for the Grande Mocha Cappuccino.

Answers

Answer:

[tex]z = -0.8[/tex]

Step-by-step explanation:

Given

[tex]n = 32[/tex] --- samples

[tex]\mu = 18g[/tex] --- mean

[tex]\sigma =5g[/tex] --- standard deviation

[tex]x = 14g[/tex] --- observed value

Required

Find the standardized score

This is calculated as:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{14g -18g}{5g}[/tex]

[tex]z = \frac{-4g}{5g}[/tex]

[tex]z = \frac{-4}{5}[/tex]

[tex]z = -0.8[/tex]

The standardized score is -0.8

HELP PLEASE DUE IN 4 MINUTES

Answers

The answer would be B. Hope this helps.

please help i d don't know i would really appreciate your help

Answers

Answer:

45

Step-by-step explanation:

hello there!

Remember all of the angles in a triangle will add up to equal 180 so to find the missing angle we subtract the given angles from 180

180 - 90 - 45 = 45 so the missing angle would equal 45

Can someone help me with this I’m really bad in geometry

Find Y Round to the nearest tenth.
у
12
25°

Answers

I redrew the triangle (just turned it around it make it easier to understand).

name the property that justifies each statement -3(m+8)=-3m-24

Answers

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

Yes it is Distributive property.

Mr. Anderson made the following box-and-whisker graph of the quiz grades in his chemistry class.


What is the median quiz grade for the class?

Answer Choices

A. 86
B. 70
C. 96
D. 77

Answers

Answer:

77

Step-by-step explanation:

I did the question and I got it correct.

True or false?is the point(16,4) included in this function: Y=2x or Y=x2 or y= x+12 or y=x-12

Answers

Answer:

True

Step-by-step explanation:

It is true because the graph of [tex]y=x-12[/tex] passes through the point [tex](16,4)[/tex]

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

5. How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s?

Answers

Answer:

Step-by-step explanation:

F=ma

F=m(dv/dt)

F=1400(-36/4)

F=-12600N (the negative sign just means the force was slowing the vehicle, the magnitude of the force is just the absolute value.

F=12600N

These are numbers that cannot be written as fractions, numbers with decimals that do not end or repeat. Example: π, 2.345643.....,

Answers

Answer:

These types of numbers are commonly referred to as "irrational numbers".

Step-by-step explanation:

. 3^2x+1 = 1 solve it​

Answers

Answer:

x= 0

Step-by-step explanation:

HOW DO I SLOVE THIS MATH PROBLEM!!! I need an explanation

Answers

Answer:

441 π ft²

Step-by-step explanation:

If you mean volume, this is how it is:

v = πr² × h = π × 7² × 9 = 441π ≈ 1323 ft²

please help me find the value of H and A

Answers

the value of a= 12 h= 14

what is the answer to y+5<9

Answers

Answer:

I think the answer would be y<4

Which expression is equivalent to (3^2)^-2
?

Answers

Answer:

I think the answer is 2\9

Step-by-step explanation:

Monica is paid $11.50 per hour in addition to a $70.00 fuel stipend. This week she would like to earn more than $ 440.00 . How many hours must Monica work this week ? Round to the nearest tenth of an hour​

Answers

Answer:

Step-by-step explanation:

70+11.5x>440 subtract 70 from each side

11.5x>370 divide each side by 11.5

x>32.17 to nearest tenth

x>32.2

Solve for x using cross multiplication 3x - 3 5 = 2x – 2 4 x = [?]​

Answers

Answer:

x = -35/22, or 1.5909090...

Step-by-step explanation:

Solving for x will be easy enough, but cross multiplication won't be necessary as that's only applicable when division is involved:

35 = 2x - 24x

35 = -22x

x = -35/22, or 1.5909090...

4/7 of 29= (estimate each product)

Answers

Answer:

16.6 for nearest tenths

16.57 for nearest hundreths

Step-by-step explanation:

4/7*29/1=

29*7=203/7 to get the same denominator

203 x  4  = 812    mulptiply to get the fraction

 7    x   7 =  49

812/49=16.5714285714

Please help I’m struggling

Answers

Answer:

x = -4

Step-by-step explanation:

x= 3 is a parallel to y axis. So a parallel line to x = 3 must be parallel to y axis.

A line parallel to y axis has a generic equation: x = h. We know that the line passes to the point with has x coordinate = -4

So the equation is x= -4

plsss help me answer this question !!!!

Answers

Answer:

what's your question???

if 4x=60 what is the value of x?

Answers

Step-by-step explanation:

if 4x = 60

Then

x = 60 / 4

x = 15

Hope it will help :)❤

HELP please correct answer please mathematics

Answers

Answer:

96 units^2

Step-by-step explanation:

(8*24)/2=96

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class is an only child?

Answers

Answer:

your answer will be

2 and 1/12

Step-by-step explanation:

hope it helps you

have a great day!!

8.3 (repeating) percent or 2 out 24 children

If the triangle below is enlarged by a scale factor of 1.2, what will be the area of the new triangle?

Answers

Answer:

Step-by-step explanation:

A=bh/2

A=(1.2b)(1.2h)/2

A=1.44(bh)/2

A=0.72bh

b=10cm and h=5c

A=0.72(10)(5)

A=36 cm^2

Answer:

36cm sqaured

Step-by-step explanation:

Step-by-step explanation:

A=bh/2

A=(1.2b)(1.2h)/2

A=1.44(bh)/2

A=0.72bh

b=10cm and h=5c

A=0.72(10)(5)

A=36 cm^2

What is the perimeter and area of the composite figure?

Answers

Step-by-step explanation:

▪AB = AC - EF

= 13 cm - 7 cm

= 6 cm

▪BD = CF - DE

= 16 - 8 cm

= 8 cm

BC = EF

perimeter = CF + EF + DE + AD + AB + BC

= 16 + 7 + 8 + 10 + 6 + 7

= 54 cm

Area of triangles = 1/2 × AB × BD

= 1/2 × 6 × 8

= 48/2

= 24 cm²

Area of rectangle = CF × EF

= 16 × 7

= 112 cm²

the total area = 24 + 112

= 136 cm²

#CMIIW

https://cantonschools.instructure.com/courses/1278/discussion_topics/14354

Answers

What’s this?
Btw thanks for the points

Is 12+5(2+y) and 5y+22 equivalent

Answers

Answer:

22 + 5y

Step-by-step explanation:

Yes they are

5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.

I had to raise the number to49 pls help

Answers

Ummm what is there to answer it’s black
i’m not sure what you meant because the photo is black, but if you mean like rounded it would round to 50? is that what you meant?
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