MATHEMATICS MIDDLE SCHOOL

Carl has three lengths of cable,5/6/ yard long,1/4 yard long, and 2/3 yard long.He needs at least 1 yard of cable.A. which two pieces together make a length at least 1 yard and closest to 1 yard?
B. If Carl uses the two short pieces,how much more cable would be need?
C. After Carl has used 1 yard of cable,how much cable will he have left?explain your answer

Answers

Answer 1

Answer:

Answer:

A- 5/6 and 1/4

B- 1/12

C- 3/4

Step-by-step explanation:

Given : Carl has three lengths of cable,

Cable 1 - $(5)/(6)$ yard long,

Cable 2 - $(1)/(4)$ yard long,

Cable 3 - $(2)/(3)$ yard long

He needs at least 1 yard of cable.

A. Which two pieces together make a length at least 1 yard and closest to 1 yard?

We can form possible piece together

Taking 5/6 and 1/4

$(5)/(6) +(1)/(4)= (20+6)/(24)=(26)/(24)=1.08$

Taking 1/4 and 2/3

$(1)/(4) +(2)/(3)= (3+8)/(12)=(11)/(12)=0.91$

Taking 5/6 and 2/3

$(5)/(6) +(2)/(3)= (15+12)/(18)=(27)/(18)=1.5$

Length at least 1 yard and closest to 1 yard is the 5/6 yard and the 1/4 yard together.

B. If Carl uses the two short pieces,how much more cable would be need?

The two short pieces 1/4 and 2/3 makes 11/12 of a yard,

So, he would need $1-(11)/(12)= (12-11)/(12)=(1)/(12)$ yards more of cable.

C. After Carl has used 1 yard of cable,how much cable will he have left?

Altogether he has $(5)/(6) +(1)/(4)+(2)/(3)=(126)/(72)=1and(3)/(4)$ yards of cable.

If he took the 1 cable needed, he would then have 3/4 of a yard leftover.

Answer 2

Answer: a. the 5/6 yard and the 1/4 yard
b. the two short pieces makes 11/12 of a yard, he would need 1/12 yards more of cable.
c. altogether he has 1 and 3/4 yards of cable. If he took the 1 cable needed, he would then have 3/4 of a yard leftover.

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What is 5 over 18 divided by 2 over 6

Answers

5/18 divided by 2/6 is as follows:
5/18 x 6/2: change division to multiplication then flip 6/2,
Next:
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A recipe that yields 12 cups of soup calls for 28 ounces of beef broth.how many ounces of beef broth do you need to make 18 of the soup?

Answers

we know that

A recipe that yields $12$ cups of soup calls for $28$ ounces of beef broth

by proportion

Find the ounces of beef broth needed to make $18$ cups of soup

$(28)/(12) (ounces)/(cups) =(x)/(18) (ounces)/(cups) \n \n12*x=18*28\n \nx=18*28/12\n \nx=42\ ounces$

therefore

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$42\ ounces$

AC = 4, AE = 7, AD = 10, what is the length of AB?

PLZ HELP

Answers

The above answer is not correct! The correct way to solve this is to look at the ratio of the sides as these are similar triangles. We are told that AC = 4 and AE = 7. That means that the side AC has been multiplied by 7/4 in order to become the length AE. Because these are similar trianges, all the sides must be multiplied by the same amount - therefore the side AD is equal to the length of AB multiplied by 7/4. Because we are given the side AD and need to find AB, we simply run the process in reverse like so:
If AD = 7/4 x AB:
AB = 4/7 x AD
AB = 4/7 x 10
AB = 40/7 (5.71 as a decimal)
Hope I helped :))

Answer:

The length of AB is 1 3/7 .

Someone plz help to become brainliest and get points !! :) plz answer truthfully

Answers

Answer:

the answer is D.106.3in^3

Step-by-step explanation:

i know this

Fran drew a triangle with no congruent sides and one right angle.Which term accurately describes a triangle?Select all that apply!a)isosceles,B)scalene,C)acute,D)right,E)pentagon

Answers

Scalene and right, since:

There is a right angle
and scale means that there are no angles that are the same.

Find the area of the kite in square centimeters, 8cm 3.5cm 4.5cm 3.5 cm

Answers

Answer:

43.75

Step-by-step explanation:

(8*3.5)/2 + (8*3/5)/2 + (4.5*3.5)/2 + (4.5*3.5)/2 =

8*3.5 + 4.5*3.5 = 28 + 15.75 = 43.75

The picture helped a lot

Answer:43.75

Step-by-step explanation:

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