1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
3 years ago
10

An electric cord was cut into three pieces in the ratio 5:3:7. The difference in the length between the longest piece and the sh

ortest piece is 64 cm.
1.Find the length of the longest piece?
2. Find the length of the Electrical cord in meters before it was cut?
Mathematics
2 answers:
tresset_1 [31]3 years ago
7 0

1) 112 m

Answer:

2) 240 m

Step-by-step explanation:

Let the length of pieces be 5x, 3x and 7x m.

Where 3x is the shortest piece and 7x is the longest piece.

According to the given condition:

7x - 3x = 64

4x = 64

x = 64/4

x = 16 m

1) Length of longest piece = 7x = 7* 16 = 112 m

2) length of the Electrical cord in meters before it was cut = 5x + 3x + 7x = 15x = 15*16 =240 m

k0ka [10]3 years ago
5 0

Step-by-step explanation:

Let's call the pieces 5x, 3x, and 7x respectively. The longest (7x) and shortest (3x) pieces had a difference of 64 cm. Therefore, 7x - 3x = 64 → 4x = 64 → x = 16 cm. We know that the longest piece is 7x, so its length is 7 * 16 = 112 cm. As for the total length of the cord, we can express it as 5x + 3x + 7x = 15x, which is 15 * 16 = 240 cm. Hope this helps!

You might be interested in
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nea
tino4ka555 [31]
To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer: 
<span>A.) 12,000</span>
3 0
3 years ago
PLEASE HELP!! Calculate the slope of the line passing through the following two points: write your slope as a reduced improper f
Alekssandra [29.7K]

Answer:

1

Step-by-step explanation:

slope formula:

\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{3-(-18)}{2-(-19)}\\=\frac{21}{21}=1

6 0
3 years ago
Read 2 more answers
Please give a good answer :)
Alex

Answer:

P(4≤x≤7) = 2/3

Step-by-step explanation:

We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

Adding the outcome together, the sample space (S) becomes:

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

Next, we shall obtain the event of 4≤x≤7. This is illustrated below:

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

Finally, we shall determine P(4≤x≤7). This can be obtained as follow:

Element in the sample space, n(S) = 36

Element in 4≤x≤7, n(4≤x≤7) = 24

Probability of 4≤x≤7, P(4≤x≤7) = ?

P(4≤x≤7) = n(4≤x≤7) / nS

P(4≤x≤7) = 24/36

P(4≤x≤7) = 2/3

4 0
3 years ago
A pie is 3/4 and 2/3 of the pie is eaten what is left
Sidana [21]
Answer:
1/12 is left

Step by step explanation:
Find the common denominator which is 12 then you would get 9/12 (Originally 3/4) and 8/12 (Originally 2/3) and then you subtract which gets you 1/12
4 0
2 years ago
Use the diagram to answer the question.
Aloiza [94]

Answer:

O lines and line t Intersect at Point P

5 0
2 years ago
Other questions:
  • What’s the inverse of the function f(x)=7x+2
    12·1 answer
  • Write 160,000,000 in exponential form
    8·2 answers
  • Pressures of supply and demand act directly on the prices of airline tickets. As the seats available on the plane begin to fill,
    15·1 answer
  • Whitch of the following options have the same value of 15 % of 20​
    11·1 answer
  • Cylinder A has a radius of 1 meter and a height of 4 meters.cylinder B has a radius of 2 meters and a heigh of 4 meters find the
    10·1 answer
  • Which is the missing step in the proof below? There is a 4th row that blank...
    8·1 answer
  • Henry has a 12 m wire. He cuts 12.5% of the wire. How long is the wire that Henry cut?
    11·1 answer
  • Adam sleeps for nine hours each night, five nights a week, and 11 hours for two nights a week.
    11·1 answer
  • It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, t
    14·1 answer
  • Which expression is equivalent to?<br> Please help me quick!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!