Kim and Tom both cycle to work from their
homes, at the same speed. Kim lives 20 km
away from work, and Tom lives only 15 km
away from work. It takes Kim 1 hour more to
cycle to work than Tom. Determine how long
Tom takes to get to work.

Answers

Answer 1

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Answer 2

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

[tex]Speed = \frac{Distance}{Time}[/tex]

So,

[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]

So,

Time taken by Tom = 3 hour

Learn more:

https://brainly.com/question/22610586?referrer=searchResults

Kim And Tom Both Cycle To Work From Theirhomes, At The Same Speed. Kim Lives 20 Kmaway From Work, And

Related Questions

Find the midpoint of the line segment from (-4,-3) to (3,3)

Answers

The correct answer is (-1/2, 2)

Answer:

It is (-0.5, 0)

Step-by-step explanation:

Mid-point formular:

[tex]{ \bf{midpoint = (\frac{x_{1} + x _{2} }{2} , \: \frac{y_{1} + y_{2} }{2}) }}[/tex]

x1 is -4

x2 is 3

y1 is -3

y2 is 3

[tex]{ \sf{ = ( \frac{ - 4 + 3}{2} , \: \frac{ - 3 + 3}{2}) }} \\ \\ { \sf{ = ( - \frac{1}{2} , \: \frac{0}{2}) }} \\ \\ = { \sf{( - 0.5, \: 0)}}[/tex]

Truck driver drove 48 miles in 45 minutes , at this rate how many miles can he drive in 1 hour

Answers

Answer:

64 miles

Step-by-step explanation:

"the sum of a number and 4."​

Answers

Answer:

The sum of a number and 4 is

n + 4.

Without the value of n, nothing more can be said

Answer:

n + 4

Step-by-step explanation:

Let the number be n

Then we add ("sum up") n and 4 together.

n + 4

using the distributive property to expand each expression 10(x+5)​

Answers

[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]

[tex]\\ \rm\longmapsto 10(x+5)[/tex]

[tex]\\ \rm\longmapsto 10x+10(5)[/tex]

[tex]\\ \rm\longmapsto 10x+50[/tex]

10(x+5)
10x+10(5)
10x+50x
=60x

Line R is represented by the equation y=-2x+7 and Line Z is represented by the equation y=3x-3. At what point will line R and line Z intersect?

Answers

Answer:

I am confused!

Answer:

you just solve by doing equation 1&2 i guess the answer will come

15. x = 27 + 10 P. _; PQ = 12 •R 1 + 18​

Answers

Answer:

5

Step-by-step explanation:

Find the number of faces, edges, and vertices of this shape.
Help ASAP, thanks!

Answers

Faces: 6
Edges: 12
Vertices: 8
The shape is a rectangular prism.

913,256 write the digit in the ten thousands place

Answers

Answer:

1 is in the ten thousands, also know as 10,000

Will mark as brainliest!

Answers

Answer:

[tex]f=12-\frac{t}{20}[/tex]

Step-by-step explanation:

what is the unit rate of 1/7 and 1/21 ? this is very confusing?

Answers

Answer:

the unit rate of 1/7 is itself (1/7), and for 1/21 is 1/21.

Step-by-step explanation:

this is because these rates/ratios are unit fractions. so if the numerater is 1, theres nothing you can do to simplify it.

you can check with the ceaser method as well, but you're still going to find the same solution.

plus, for example, if it takes 7 grams of sugar to make 1 cake, it wouldnt make sense for 1 gram of sugar to make 7 cakes.

hope this helped clear up your confusion <3

Compare 9/10 or 90percent'

Answers

Step-by-step explanation:

9/10

=0.9

90%

=90/100

=0.9

Hence, 9/10 = 90 %

11. Which of the following equations has NO
solution?

A. a +2=a+2
B. a=-a + 2
C. a + 2 = a-2
D. a + a=2


HEELPP:(

Answers

Answer:

a + 2 = a-2

step-by-step explanation

a+2 = a+2 has infinite solutions cuz put any value on a

a=-a+2 well, simplify
2a=2 (a=1)
Unique solution

a + 2 = a - 2
Simplify
4=0 not possible
a doesn’t have any value but just to be sure check d and tell me in the comments

Solve this problem, and identify the percent, amount, and base.

What percent of
60is15 ?

Answers

Answer:

9

Step-by-step explanation:

60 is 15=9

15 is 25% from 60
(15/60)*100 = 25%
Amount 15
Base 60
Percent 25%
Attached example:

15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.​

Answers

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

Pls Help…

11 Alicia buys a car that costs $26610, and she makes a $3140 down payment on it. How much
does she still owe on the car? Give units.

Answers

Answer:

$23,470

Step-by-step explanation:

A down payment is how much you pay upfront for a car. So, how much she still owes will be the difference between the total cost and the down payment. Therefore, subtract $3,140 from $26,610; 26610-3140=23470. Then, since you are talking about money the units are dollars, $.

which of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1

Answers

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?

Answers

Answer:

the answer is C 6x2 .....................


A pole that is 2.8 m tall casts a shadow that is 1.46 m long. At the same time, a nearby building casts a shadow that is 50.25 m long. How tall is the building?
Round your answer to the nearest meter.

Answers

Answer:

96 m

Step-by-step explanation:

Create a proportion where x is the height of the building:

[tex]\frac{2.8}{1.46}[/tex] = [tex]\frac{x}{50.25\\}[/tex]

Cross multiply and solve for x:

1.46x = 140.7

x = 96

So, the height of the building is approximately 96 m tall

Use the number line to answer the question. Each tick represents 1 unit.



Describe the location of point K.

four more than M
three more than L
seven less than N
two less than J


Please be fast!!

Answers

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer: LESS THAN FOUR

Step-by-step explanation:

How do the slopes of lines that are perpendicular to each other compare?

Answers

Sloppyvbh said he had a good day and I got to work with I

Answer:

they create 90* angles on the graph

plesae helpsonnnnn okkkkk

Answers

Answer:

the first one at the top left

if 2x°and 3x°are adjacent angles in linear pair and find them​

Answers

Step-by-step explanation:

2x°+3x°=180°[ sum of adjacent angle]

or,5x°= 180°

or,x°= 180°/5

x°=36°

2x°= 2× 36°= 72°

3x°= 3 × 36°= 108°

Devon wants to write an equation for a line that passes
through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the equation
7x-10y=3. Is this a
reasoning.
good model? Explain your reasoning.

Answers

Answer:

7x-10y=6

Step-by-step explanation:

Firstly, supervise 7x-10y=3 using the coordinates of one from the known points

7*8-10*5=3

6=3 It is not correct, so the equation is uncorect

Find the correct equation

The common equation is y=mx+b

5=8m+b

-9=-12m+b

Both equations are simultaneous.

-9-5= -12m+b- (8m+b)

-14=-20m

m=0.7

b=5-5.6=-0.6

y=0.7x-0.6

0.7x-y=0.6

7x-10y=6- the correct answer

can you pretty please solve this math equation for me 5+2=4

Answers

5+2= 7 it would have to be like 2+2=4.

which integer is less than -2
a. -6
b. 0
c. 2
d. 6​

Answers

Answer:

A

Step-by-step explanation:

-6 its because -6 if you see those numbers 0,2,6 are the great.

12/5= 3/x
What is the value of x

Answers

Answer:

[tex] \frac{12}{5} = \frac{3}{x} \\ 12 \times x = 5 \times 3 \\ 12 x = 15 \\ x = \frac{15}{12} \\ = 1.25[/tex]

i hope it helped U

stay safe stay happy

Plz explain step by step ​

Answers

Step-by-step explanation:

a=20⁰ vertically opposite angles are equal

b=160⁰ sum of angles on a straight line add up to 180⁰

(180⁰-20⁰=60⁰)

c=125⁰ sum of angles on a straight line add up to 180⁰

(180⁰-35⁰-20⁰=125⁰)

expand
64 - 16 [tex]a^{2}[/tex]

Answers

Step-by-step explanation:

Remember the formula a^2-b^2=(a-b)(a+b)

A sandwich costs 3.05 British
pounds: :
If a British pound is worth $1.56 in U.S.
currency, how much does the sandwich
cost in U.S. dollars?

[ill give brainliest if u explain how to work it out :) ]

Answers

1pd=$1.56
3.05X1.56=4.75

Find the slope of the line passing through the points (-5, 3) and (7, 9)

Answers

Answer:

For any two points (a,b) and (c,d) ,

the slope of the line is (d-b)/(c-a)

plug in your given values, let me know what you get

Step-by-step explanation:

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