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torisob [31]
3 years ago
7

What number is midway between 2/5 and 1?

Mathematics
2 answers:
jeka57 [31]3 years ago
5 0
4/10 and 10/10:

7/10.
snow_lady [41]3 years ago
4 0

Answer: \frac{7}{10}

Step-by-step explanation:

To find the mid point 'c' between any two numbers 'a' and 'b' we apply the following rule:-

c=\frac{a+b}{2}

Now, the number is midway between 2/5 and 1 will be given by :-

\c=\frac{\frac{2}{5}+1}{2}\\\\\Rightarrow\ c=\frac{\frac{7}{5}}{2}....\text{[by taking LCM]}\\\\\Rightarrow\ c=\frac{7}{2\times5}\\\\\Rightarrow\ c=\frac{7}{10}

Hence, the number is midway between 2/5 and 1 =\frac{7}{10}

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−4x+7y+5=0<br> x−3y=−5<br> ​ <br><br> How many solutions does the system have?
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Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

-4(3y)+20+7y=-5

-12y+7y=-5-20

-5y=-25

Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5  

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

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