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il63 [147K]
3 years ago
6

The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
To find the answer,we can set up two equations:

Let the integer be x and y seperately,and x be the larger number:

x+y=74
y=74-x....(1)

x-2y=26...(2)

Put (1) into (2):

x-2(74-x)=26
x-148+2x=26
3x=26+148
x=174/3
x=58

Put the above answer into (1):

y=74-58
y=16

Therefore,the answer is x=58, y=16.

Hope it helps!
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Which number produces a irrational number when added 0.25
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I think the easiest way to think about this is to put 0.25 into fractional form. 0.25 = 1/4 because 4 divided into 1 = 0.25

So 1/4 added to 2/9 will give us a fraction (rational number). Of course to determine what the fraction is, we have to get a common denominator.
(In case you wanted to know what that rational number is: The least common denominator would be 36. So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.)
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2 years ago
What is the volume of a sphere with a surface area of ​ 16π ​ft²?
zheka24 [161]
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4 0
3 years ago
Read 2 more answers
Elimination_4x_2y=14<br> _10x+7y=_24
Gnesinka [82]

Answer:

The answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

-4x-2y=14   ......(1)

-10x+7y=-24 ......(2)

So, we multiply the equation (1) by 7 we get:

-28x-14y=98

And, we multiply the equation (2) by 2 we get:

-20x+14y=-48

Now, adding both the new equations:

-28x-14y+(-20x+14y)=98+(-48)

-28x-14y-20x+14y=98-48

-28x-20x-14y+14y=50

-8x=50

<em>Dividing both the sides by -8 we get:</em>

x=-\frac{50}{8}

Now, putting the value of x in equation (1):

-4x-2y=14

-4(-\frac{50}{8})-2y=14

\frac{200}{8} -2y=14

25-2y=14

<em>Subtracting both sides by 25 we get:</em>

-2y=-11

<em>Dividing both sides by -2 we get:</em>

y=\frac{11}{2}

Therefore, the answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

5 0
3 years ago
The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade
Anon25 [30]
110 girls and 85 boys.

Subtract 1 from 195. Then divide by 2. 194/2 = 97. Then add 13 97+13=110. There are 110 girls.
5 0
3 years ago
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