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kogti [31]
3 years ago
15

Solve x/3+1/5=x/2-1/4​

Mathematics
2 answers:
marin [14]3 years ago
5 0
X/3+1/5=x/2-1/4
x/3-x/2=-1/5-1/4
(2x-3x)/6=-(4+5/20)
-x/6=-9/20
x=54/20
x=27/10=2.7
This the value of x is 2.7
Korvikt [17]3 years ago
3 0

Step-by-step explanation:

x= 27/10

or

x=2.7

or

x=2×7/10

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Miguel has run three marathons. The first time he ran a marathon, it took him m minutes. The next time he ran he
Arisa [49]

The expression for the amount of time it took Miguel to run the

marathon the third time is 0.855 m

Step-by-step explanation:

Miguel has run three marathons

  • The first time he ran a marathon, it took him m minutes
  • The next time he ran he  cut 10% off his time
  • The third time he ran a marathon, he was able to cut an additional 5% off his fastest time  (the time he got on the second marathon)

We need to write an expression for the amount of time it took Miguel

to run the  marathon the third time

∵ It took him m minutes to run the first marathon

∵ In second marathon he cut 10% off his time

∴ The time of the second marathon = m - 10% × m

∵ 10% × m = (10/100) m = 0.1 m

∴ The time of the second marathon = m - 0.1 m = 0.9 m

∴ It took him 0.9 m minutes in the second marathon

∵ In the third marathon he cut additional 5% off his time in

   the second marathon

∵ His time in the second marathon = 0.9 m

∴ The time of the third marathon = 0.9 m - 5% × 0.9 m

∵ 5% × 0.9 m = (5/100)(0.9 m) = 0.045 m

∴ The time of the third marathon = 0.9 m - 0.045 m = 0.855 m

∴ It took him 0.855 m minutes in the third marathon

The expression for the amount of time it took Miguel to run the

marathon the third time is 0.855 m

Learn more:

You can learn more about writing the expressions in brainly.com/question/13087541

#LearnwithBrainly

6 0
4 years ago
A gift box is 14 inches long, 8 inches wide, and 4 inches high. How much wrapping paper is needed to wrap the gift box?
Mazyrski [523]
We will use the formula for finding the surface area of a rectangular prism. 

Formula = 

SA <span>= </span><span>2 </span><span>(</span><span>w</span><span>l</span><span>+</span><span>h</span><span>l</span><span>+</span><span>h</span><span>w</span><span>)</span>SA = 2 (8·14 + 4·14 + 4·8)
SA = 2 (112 + 56 + 32)
SA = 2 (200)
SA = 400

The gift box needs C) 400 in wrapping paper to wrap the gift box. <span />
4 0
4 years ago
Read 2 more answers
Simplify: 13.6 – 4.1 – 3.8 + 6.7
blsea [12.9K]

Answer:

12.4 this is the answer

13.6-4.1=9.5

-3.8+6.7=2.9

9.5+2.9=12.4

8 0
3 years ago
A pair of tow trucks are pulling on a trailer that is stuck
Varvara68 [4.7K]

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

A^{2}=B^{2}+C^{2}-2AB cos \alpha

so we can use the data given by the problem:

R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha

so we can solve this for R, so we get:

R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}

now we can substitute:

R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}

which yields:

R=10,244Lb

8 0
3 years ago
Susan deposits $100 into a savings account that earns simple interest at a rate of 5%. If she makes no withdrawals, how much tot
lord [1]

Answer:

Interest is $25

Step-by-step explanation:

Formula to find interest:

I = Prt

Given:

P = 100

r = 5% or 0.05

t = 5

Work:

I = Prt

I = 100(0.05)(5)

I = 5(5)

I = 25

3 0
3 years ago
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