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aleksley [76]
2 years ago
13

If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.

Mathematics
1 answer:
iren2701 [21]2 years ago
6 0

Answer:

3

Step-by-step explanation:

let n be the number, then

\frac{10}{7+n} = 1 ← multiply both sides by 7 + n

10 = 7 + n ( subtract 7 from both sides )

3 = n

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4y-x=5+2y; 3x+7y=24 solve systen by using substitution
jek_recluse [69]
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
6 0
2 years ago
Here is an equation.<br> P = d(4 + tg)<br> What is the equation when solved for g?
astra-53 [7]
P = 4d +dgt
dgt = P -4d
divide both sides by dt.

g = (P-4d)/dt
8 0
2 years ago
Describe the main parts of a proof
uysha [10]
Show how you got your answer in reverse.  For example... if ur question is 
4+4/(?)=4
8/?=4
oh its commen sense that the answer is 2.
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6 0
3 years ago
A weather forecast says that there is a 40% chance of rain today find the odds against rain
san4es73 [151]

Answer:

60%

Step-by-step explanation:

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4 0
2 years ago
Evaluate the expression when x=10, y=−2, and z=−5.
Vlad [161]

\frac{ -  {x}^{2} + 6z }{y}

if x=10 y=-2 and z=-5 then...

\frac{ { - 10}^{2}  + 6 \times  - 5}{ - 2}

we solve this to get...

<em>65</em>

therefore the answer to your question would be 65

hope this helped-have a good day bro cya)

8 0
2 years ago
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