Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Answers

Answer 1

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours


Related Questions

Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form

Answers

Answer:

y=-5x-7

Step-by-step explanation:

y=-5x-7

Hope you are having a good day!

Answer:

-26

Step-by-step explanation:

-23 + (-1-2) = -26

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.

Answers

Answer:

The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Step-by-step explanation:

From the question, one bucket dumps water every 18 minutes, say bucket A;

and the other bucket dumps water every 16 minutes, say bucket B.

Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,

that is, both buckets dumped water at 2:30 P.M.

For bucket A, the next times it will dump water will be:

2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.

For bucket B, the next times it will dump water will be:

2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.

From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.​

Answers

Answer:

a₂ = 243

Step-by-step explanation:

The term to term rule from left to right in the sequence is divide by 3

The term to term rule from right to left is the opposite, multiply by 3

Given

a₅ = 9, then

a₄ = 9 × 3 = 27

a₃ = 27 × 3 = 81

a₂ = 81 × 3 = 243 ← required term

Can someone please explain this to me i feel like this is really easy but I just don’t get it

Answers

SUPER EASY JUST GOOGLE SEARCH IT ANF YOU SHOULD BE FINE.

2/5(a+2b)^2 (if a=3 and b=-4)

Answers

The answer is 10. Hope this helps.

Multiply the numbers

2/5 •(3-8)^2

Subtract (3-8)

2/5• (-5)^2

A negative base raised to an even power equals a positive

2/5• (5)^2

Reduce the expression with 5.

2•5

10

Solve the inequality:


2x−9≥17

Select one:

x≤13

x≥3

x≤3

x≥13

Answers

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

3/4 + 1/6z = 35/4 solve

Answers

z=48 hope this helps

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?










∠ABS ≅ ∠SCT
SB ≅ BC
BT ≅ CT
∠BAT ≅ ∠CTA

Answers

Answer:

∠BAT ≅ ∠CTA

Step-by-step explanation:

hzhdyrhfnv

The sides of the triangles which are congruent are BT ≅ CT, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three angles and three vertices.

The triangle ∆BAT ≅ ∆CAT.

When two triangles are congruent, the corresponding sides are congruent by CPCTC.

It can be understood from the triangle vertices that AT is common side in both the triangles.

BT is corresponding to CT and so is equal.

It seems that your question is incomplete, the complete question is attached with the answer.

To know more about Triangle

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A number that is at most 30 as an inequality

Answers

Answer:

n  ⩽ 30

Step-by-step explanation:

Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.

Answers

Yes because opposite sides are congruent

1. Which of the following is a pair of parallel lines? W = 1/4x - 7 V=1/44+2 W = 4x - 7 V = 1/4x + 2 W = 1/4x - 7 V= 1/4x + 2 W = 4x - 7 V = -4x + 2 C​

Answers

V=1/4x+2 and W=1/4x-7 are parallel because they have the same slope and different y-intercepts.

Help me on this please

Answers

Answer:

D. y = 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Any parallel line to the x-axis will be a horizontal line.

Horizontal lines have a slope of 0.

In that case:

y = 0x + b

y = b

The only answer that fits in the y = b format is D.



The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What

Answers

she sold the ticket for $39.50
explanation: you take 36 and time it by 10% and it will give you $3.60 and you add it to 36

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

Question:

What is the other term of removing sets from a universal set?

Thank you. ​

Answers

Answer:

Subset

Step-by-step explanation:

A subset is a group of elements whose values were obtained from a larger set known as the universal set.

For example, say we have a universal set of all the numbers from 10 to 20

{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A subset of the even numbers include;

{10, 12, 14, 16, 18, 20}

A subset of the odd numbers include;

{11, 13, 15, 17, 19,}

These figures in the subset were derived from the universal set which is the larger set.

2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?

Answers

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

please help !! you don’t need to explain btw !! :))

Answers

all except for the third option are correct

A statement that two ratios are equal is called a

Answers

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

Learn more about ratio here

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2x + 3 = 5x - 2
4x + 1 = 10x + 3
5x - 5 = 2x + 10
4(x + 5) – 10 = 2
2x + 3 – 4x = x + 6
3(x +5) – 2 = 22

Answers

Answer:

x3r9

Step-by-step explanation:

5 points The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? 15% G 25% 75% 40% OF O G OH OJ 5 points​

Answers

Answer:

25 percent

Step-by-step explanation:

60*.25 is 15

60-15 is 45. it is 15 dollars off or 25 percent off

9s - 5g=4u, for s i need the answer pls

Answers

Answer:

9s-5g=-4u

*Isolating the S variable*

9s = -4u+5g

s = (-4u + 5g)/9

The answer is option B.

The correct answer choice is B.

You want to isolate the variable so you add 5g on both sides of the equation. Which gives you 9s = -4u + 5g. Then you divide both sides of the equation by 9 which would get you s= -4u+ 5g/9.

I HAVE 5 MINUTES (15 points)

Answers

Answer:

A

Step-by-step explanation:

The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.

Plsss help I put 15 points

Answers

Hope it helps man .....

Solve for x please help me

Answers

X is 50 degree 180 - 130

Simplify the expression-2(-9g+4)

Answers

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +

Answer the following above:

Answers

The answer is 5/6 because

Answer:

0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.

Step-by-step explanation:

First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.

Is 1.875 a terminating decimal

Answers

Answer:

Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.

Step-by-step explanation:

Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

I tried my best on explaining, sorry if it didn't help.

Is this right? I need help pls, I'm failing

Answers

Answer:

its right

Step-by-step explanation:

you are insine or what ever you know what i mine alright im not smart or dum

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. AAS
B. SAS
C. HL
D. Not enough information

Answers

Answer:

AAS

Step-by-step explanation:

Angles in left and right corner are congruent (isosceles triangle)

Two right angles in the middle

Which of the following is equal to the expression listed below?

24 + 18

A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)

Answers

The answer is D because 6•4 is 24 and 6•3 is 18


Hope this helps :)

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

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