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sesenic [268]
3 years ago
13

A 6 meter rope is cut into four pieces with each piece twice as long as the previous one. How long is the longest piece?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
6 = x + 2x + 4x + 8x
6 = 15x
6/15 = 0.4
.4*8 = 3.2

3.2 meters
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May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.
Slav-nsk [51]

9514 1404 393

Answer:

  • x = 17
  • y = 26

Step-by-step explanation:

In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.

  AC +CB = AB

  (3x -4) +(x -2) = 62

  4x -6 = 62 . . . . . collect terms

  4x = 68 . . . . . . . add 6

  x = 17 . . . . . . . . . . divide by 4

__

In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.

  ∠DFG +∠GFE = ∠DFE

  (5y +3) +(2y -5) = 180

  7y = 182 . . . . . . . . . . . . . . collect terms, add 2

  y = 26 . . . . . . . . . . . . . . . .divide by 7

4 0
3 years ago
Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?
mamaluj [8]
Hi Kyliebreland!
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Hope this helps!

7 0
4 years ago
Can someone please help with this and show me in steps will give brainliest?​
alina1380 [7]
A. 3 times 10^4
90000000 divided by 3000 is 30000 which happens to be equal to 3 times 10^4

If you want to learn how to do this just take your whole number ex: 3 and put 10^6 and you will have 3 followed by 6 zeros. The ^ is just how many zeros will follow your whole number at first.
5 0
3 years ago
Which of the following equations has only one solution? x2 + 4x + 4 = 0 x2 + x = 0 x2 - 1 = 0
Nady [450]
<span>you can solve all quadratic equations using this method:
---
x^2 + 4x + 4 = 0
---
the above quadratic equation is in standard form, with a=1, b=4, and c=4
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 4
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
this quadratic has ONE real root (the x-intercept), which is:
x = -2
x = -2
---
---
---
---
x^2 + x = 0
---
the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>
4 0
3 years ago
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alekssr [168]
The percentage increase in staff was 60.6%.
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