Malia and Omar want to find the shortest route from their school to a local burger

hangout. The length of Route A is 1.5 times the length of Route B and ¾ the

length of Route C. If Route C is 3 kilometers long, then Route A is how many

kilometers longer than Route B?

Answers

Answer 1

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

[tex]\frac{a}{b}=\frac{15}{10}[/tex]

[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is [tex]\frac{3}{4}[/tex] of route C.

a = [tex]\frac{3}{4}c[/tex]

[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]

                             = 2.25 km

Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.


Related Questions

seven multiplied to the sum of twelve and four

Answers

I think the answer is 112

Answer:

I think answer is the 112

Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +

Answers

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

Can you answer this pleaseeeeee

Answers

Answer:

c = 5n

Step-by-step explanation:

y = c

x = n

Points on the graph: (1,5) and (2, 10)

Slope:

m=(y2-y1)/(x2-x1)

m=(10-5)/(2-1)

m= 5

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x

c = 5n

Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The slant height is 25 centimeters. What is the surface area of the sculpture?

Answers

Answer:

2,624 cm²

Step-by-step explanation:

please help me with this please, this is due in a couple of minutes.

Answers

Answer:

There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.

Step-by-step explanation:

Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be  [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.

Question 2 (1 point)

What is the length of a day-night cycle? Is it the same everywhere on Earth?

12 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth.

12 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

24 hours - yes; because the sun rises and sets in the exact same place every day

relative to Earth

24 hours - no; because depending on where you are on Earth, you have a

different amount of sunlight.

Answers

Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

NO LINKS I WILL REPORT!! but help plsss What is the value of y?
2yº
y + 10°
50°

Answers

Answer:

y=40

I hope it's helps you

Clint is six and a half feet tall. Tobby is four and one quarter feet tall. How much trailer is clint than tobby

Answers

Answer:

27 inches or 2 feet 3 inches

Step-by-step explanation:

78-51=27

please answer fast need help

Answers

i think it’s maybe d i’m not for sure.

Help me if u can thnx ✨✌️

Answers

Answer:

40/9

$189

Step-by-step explanation:

1 2/3 / 3/8 =

4 4/9 = 40/9

6.85 x 315 - 6.25 x 315 = $189

Hope that helps!

Answer:

ik gonna let u solve this question but I explained what u need to do to solve it

Please answer asap!!
chad bought a pair of jeans that cost 54$ plus 4.32 sales tax. What percent sales tax did he pay?

Answers

Answer:

2.3328

Step-by-step explanation:

Drag numbers to the table so it shows a proportional relationship between x and y.

Answers

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. Sorry for the inconvenience!

Answer

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. yeah thats right

Step-by-step explanation:

cant not solve unless u explain

b) –3/5x + 5 + x = –7
Pls daje naj

Answers

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 58 + 16 + 1000​

Answers

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

Can someone please help me with math oh ya no links pls

Answers

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Math question pls help

Answers

Answer:

170 pages

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.
11
10
8
7
6
5
4
-12-11-10-9-8-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
4
-9
-10
-11
-12

Answers

Answer:

x intercept [a]=3

y intercept [b]=-5

we have

equation of a line is:

x/a+y/b=1

x/3+y/-5=1

(5x-3y)=15

5x-3y-15=0 is a required equation

Please answer ASAP I NEED HELP

Answers

Answer:

450 cm^3

Step-by-step explanation:

( 1/2 (5+7.5) 6 ) 12

(pls answer this) (no links) (pls explain )

Answers

Answer:

2(3.5g - 4.5h)

Step-by-step explanation:

factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again

Nora owns a food truck that sells tacos and burritos. She sells each taco for 1 point
$3.75 and each burrito for $8.25. Nora must sell at least $420 worth of
tacos and burritos each day. Write an inequality that could represent the
possible values for the number of tacos sold, t, and the number of burritos
sold, b, that would satisfy the constraint.
Your answer

Answers

3.75t +8.25b(greater than or equal to) 420


Select the correct answer from the drop-down menu.
The square root of 125 is between

Answers

Answer:

[tex] \sqrt{125 } \\ = 11.18[/tex]

It is in between 0 to 12.

Answer:

√125 must be between 11 and 12.

Step-by-step explanation:

Identify perfect squares in the neighborhood of 125:  

121 = 11^2      or      √121 = 11

144 = 12^2               √144 = 12

√125 must therefore be between 11 and 12.

I think it can be a triangle but want another opinion

Answers

Answer:

I think It's a triangle too

Step-by-step explanation:

Helppp law of sines and law of cosines

Answers

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Edge s [RT] → [tex]\displaystyle m∠S[/tex]Edge t [RS] → [tex]\displaystyle m∠T[/tex]Edge r [ST] → [tex]\displaystyle m∠R[/tex]

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

40% of the fruits in a bag are mangoes and the remainder is orange. If there are 120 fruits in the bag and 10% of the mangoes are ripe, how many ripe mangoes are in the bag?

Answers

Answer:

15 mangoes are ripe understand ok

What percent of 513 is 248

Answers

Answer:

48.34%

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

248/513 is .483430799, so rounded is 48%

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Sin is opposite/hypotenuse
SinA is 12/37

write as y=mx+b
passes through (-3,7) with a slope of [tex]\frac{3}{2}[/tex]
passes through (7,0) and 0,-5)

Answers

Answer:

yrheyetegegetehegehehdhdbdhehehehrhrhthrjfucchffjjd ftfju

PLEASE HELP i don’t get this

Answers

The correct answer is A

Marcos sells snow cones in the summer. He uses a cone with a radius of 1.5 inches and a height of 5 inches. If he fills the snow cone to the rim with ice before pouring on the syrup. About how much ice will it take to fill the cone?​

Answers

Answer: [tex]11.78\ in.^3[/tex]

Step-by-step explanation:

Given

Radius of cone [tex]r=1.5\ in.[/tex]

Height of cone [tex]h=5\ in.[/tex]

Ice required to fill the cone=Volume of cone

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Put values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]

What is the area of the figure on the cordinate plane below

Answers

Answer:

where is the coordinate plane?

Step-by-step explanation:

Answer:

No picture please add it next time and make sure to double check if its there.

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