Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the
longest piece compared to the shortest piece

Answers

Answer 1

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

[tex]5x+6x=88[/tex]

[tex]11x=88[/tex]

[tex]x=\dfrac{88}{11}[/tex]

[tex]x=8[/tex]

Now, the lengths of pieces are:

[tex]5x=5(8)[/tex]

[tex]5x=40[/tex]

And,

[tex]6x=6(8)[/tex]

[tex]6x=48[/tex]

The difference between the longer piece and shorter piece is:

[tex]48-40=8[/tex]

Therefore, the longer piece is 8 m longer than the shorter piece.


Related Questions

At the mall, Jamie buys a pair of jeans for $34 and then a shirt for $12. The store is having a 25%
off sale. You will then have to pay 8% sales tax. What is the total amount you will pay?

Answers

Answer:

$37.26

Explanation:

firstly, we find the total original price: $34 + $12 = $46.

next, we can multiply this by 100% - 25% = 75% to find the discounted price:

$46 × 75%

= $46 ÷ 100 × 75

= $34.50

finally, add on the sales tax which is 100% + 8% = 108%:

$34.50 × 108%

= $34.50 ÷ 100 × 108

= $37.26

i hope this helps! :D

What is the volume of this rectangular prism?
2/3
cm
5 cm
6 cm

Answers

Answer:

20cm^3

Step-by-step explanation:

The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3

I NEED HELP ASAP!!!!!!!! Jason needs to buy a new sweater. The ticket price of the sweater was $89.00. After sales tax was included, the final cost was $94.79. What percent sales tax did Jason pay on his sweater? A.7.25% B.1.09% C.6.50% D.9.67

Answers

Answer:

C

Step-by-step explanation:

Find the difference between $94.79 and $89.00 then do (5.79/89)*100 which is 6.50561797753, then round the initial answer so you get 6.50

Have a great day <3

Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the
cube will show a multiple of 3.
Write the probability as a fraction in simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

Plz help ASAP I’ll give brainliest!

Answers

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)

PLEASE HURRY. THIS IS FROM A TEST AND I GOT THE QUESTION WRONG.

Answers

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.

Answers

Answer: 108 cm

Step-by-step explanation: Formula for square triangle is

SA=

Find the measure of an interior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.
#1

Answers

Answer:

120

Step-by-step explanation:

180(6-2)/6

in a school of 940 pupils, the number of girls exceeds the number of boys by 150. how many girls are there

Answers

Answer:

number of girls=545

Step-by-step explanation:

total no. of students=940

let no. of girls=x+150

let no. of boys=x

x+(x+150)=940

x+x+150=940

2x+150=940

2x=940-150

2x=790

x=790/2

x=395

no. of boys=395

no.of girls=395+150=545

this is my answer.

GEOMETRY!!! Will give brainliest

Answers

The answer is 3x-y= -7

What is the value of b? b=

Answers

Answer:

24

Step-by-step explanation:

Since the triangle is isosceles and the bisector is perpendicular, SV= VU

2b= b+24

b=24

Which graph represents the function y = 4?

Answers

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Which is bigger 6.3 with a bar on top or 6.38?

Answers

Answer:

6.38

Step-by-step explanation:

because if the other one 6.3 that means 6.30

In the scenario:

“The number of ways to place 12 pictures in identical picture frames.”

Determine if it is a combination or permutation.


Combination

Permutation

Answers

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Which expression is equivalent to 2 1/5 divided by 1/4
please help

Answers

Answer:

[tex]\frac{0.2}{20}[/tex]

Step-by-step explanation:

ez

The height of a batted baseball is modeled by the equation h(t) = -16t²+64t+6, where t is measured in seconds and h is measured in feet.
a.) At what time in seconds does the ball attain its maximum height?
b.) What is the maximum height attained by the ball? (Give your answer in feet.)

Answers

Answer:

[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

[tex]h(t) = -16t^{2} +64t+6[/tex]

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

[tex]0=-32t+64[/tex]

Rearrange and we get:

[tex]32t = 64\\t=2[/tex]

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

[tex]h(t) = -16t^{2} +64t+6[/tex]

[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]

The maximum height attained is 70 feet.

Hope this helped!

am i doing this correctly?

Answers

Yes that is how you do it

Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?

Answers

Answer:

1 cm = 5 meters

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

60 meters / 12 centimetres

5 meters / 1 centimetres

is 3 greater than -10

Answers

Answer:

Yes, it is

Step-by-step explanation:

If you look at a number line, 3 is on the postive side of the number line.

Yes, 3 is greater than -10. 3 is a positive number, and -3 is a negative.

Please help asap!

Find the area of the figure.
area ___ units^2

Answers

Answer:

34 Units ^2

Step-by-step explanation:

Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?

Answers

Answer:

3/4

Step-by-step explanation:

Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10 ​

Answers

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

Please please please I need help!!!!!

Answers

Answer:

.

Step-by-step explanation:

9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate

Explanation:

60 / 3 = 20

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

60/3=20

Step-by-step explanation:

hope this helps!

have a good day :)

NEED HELP ASAP

What type of function is this: y=.7X ?

1:Quadratic

2:Exponential growth

3:Exponential Decay

4:linear

Answers

Answer:

Linear (4)

Step-by-step explanation:

I assume that by " y=.7X " you actually meant " y = 7x"

If that's the case, this y=7X is a LINEAR function.  Its graph is a straight line.

If you meant " y = 0.7x " that is still a LINEAR function whose slope is smaller than that of y = 7x.

Help me pleaseeeee!!!

Answers

Answer:

(6, 5) is the answer.

Step-by-step explanation:

The y's intersect at (6, 5)

Please help ASAP!! Thanks

Answers

Answer:

I and III

Step-by-step explanation:

I ) AC // BD , So  as per basic proportionality theorem

ΔACE ~ ΔBCD

III)AC // BD

∠A ≅ ∠CBD     {Corresponding anlges}

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

how do you solve 5% of 58

Answers

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]

5% of 58

=

[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]

A hot air balloon travels 1,470 miles at a constant rate 6 hours. what is the rate of the speed?​

Answers

Answer:

245 miles per hour

Step-by-step explanation:

1470 divided by 6

Other Questions
How many moles of methane gas are required when there are 7.55 grams of oxygen gas available? Please someone explain how to solve this problem, I would really appreciate it. Mhanifa can you please help this is due asap ayuda sentido figurado de la frase el mundo es un jardn lleno de ortigas invadido por la inmundicia y la putrefaccion How would this triangle be classified? Does anyone know the book Of Mice and Men? Light waves travel at 3 10 8 m/s. If the light wave has a particular wavelength of 400 nm (400 10 9 m), calculate its frequency. Who threatend the land trade routes of the far east The phenomenon that causes air masses and water to bend or curve is the ______________.PLZ I NEED HELP ILL GIVE BRAINLIEST Read the excerpt from Act III of Julius Caesar.Antony: (To dead Caesar, with grief) 0, pardon me, thou bleeding piece of earth, that I am meek and gentle with these butchers. Thou art the ruins of the noblest man that ever lived in the tide of times.(Looking after the murderers, he shakes his fist at them in fury.) Woe to the hand that shed this costly blood! A curse shall light upon the limbs of men. (He points to Caesar, whose ghost will rise.) And Caesar's spirit, ranging for revenge, come hot from Hell, shall in these confines with a monarch's voice cry, "Havoc!" and let slip the dogs of war that this foul deed shall smell above the earth with carrion men, groaning for burial.What makes this excerpt from Act III of Julius Cesar an example of a monologue?Antony is alone on stage and shares his inner conflict aloud. Antony discusses his grief with other characters.Antony calls Caesar's murderers back on stage and threatens his revenge.Antony reveals Brutus's betrayal of Caesar to the citizen's of Rome. Cynthia rounds a number, x, to one decimal point.The result is 6.3Write down the error interval for x. I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE michael's house is 5.0 km away from his school. How long would it take him to go ti school, riding a bus, if its velocity is 25 km/h?Pleaseee answer correctlyI mark brainliest who answer this Help me please Ill give brainliest Discriminant 9v^2+v+5=0 Which human activity is correctly paired with the greenhouse gas that it increases?A)rice cultivation and water vaporB)landfilling and carbon dioxideC)deforestation and methaneD)sewage treatment and nitrous oxideThe answer is (D) now on edge 2021 Choose the correct sentence.El casa es grandeLa casa es grande can anyone tell me if I have them correct ? 8. The play was a flop because the one-dimensionalcharacters depicted stereotypes such as unemotionalmilitary leaders juxtaposed with ____ women who couldnot control their emotional outbursts.A. ubiquitousB. infallibleC. impetuousD. maudlinE. euphoric Why should generals be any more guilty than the average German citizen?NO LINKS I NEED URGENT HELP!! THANK U!