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ArbitrLikvidat [17]
2 years ago
15

Susan is 5 years older than her sister. The sum of their ages are 51. Define a variable. Then write an equation that could be us

ed to find their ages
Mathematics
2 answers:
nata0808 [166]2 years ago
6 0
We will say the variable to be x.
So we will say her sister is x years old.
susan is x + 5 years old

     susan = x+5
     sister = x
 the equation wll be (x + 5) + x =51
ans = (x+5) + x = 51

if you want to continue
yo first collect the like terms wich are the variables that look alike and simplify them

in this case you take x and add to x making it 2x
then you cross 5 to the other side of the equal sign
then because t is positive it will turn to negative. then you will minus it wiy=th 51

in equation form it is done like this;
(x+5) + x = 51
x+x +5 = 51
2x + 5 = 51
          →
2x = 51 - 5
2x = 46
2x/2 =46/2
x = 23

if her sister is 23 years old then susan is 23 + 5 years old

Kay [80]2 years ago
5 0
You would do
51-5= 46 
then you would divide 
46/2= 23
so Susan is 
23+5=28
Susan is 28 years old and her sister is 23
28+23=51
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Kelly spends 3/8 of her free time playing soccer. what percent of her free time was spent playing soccer?
lozanna [386]
I think it's 37.5 . I'm pretty sure cause I think you divide 3/8 . Then you go 2 to the right for your answer with the decimal. Not sure but . I think I'm right.
7 0
3 years ago
Solve the equation by using square roots. 2 x 2 − 9 = 11
VashaNatasha [74]

Answer:

x = ± \sqrt{10}

Step-by-step explanation:

Given

2x² - 9 = 11 ( add 9 to both sides )

2x² = 20 ( divide both sides by 2 )

x² = 10 ( take the square root of both sides )

x = ± \sqrt{10} ← exact solutions

3 0
2 years ago
1. If 5x + 6 = 10, what is the value of 10x + 3?
Digiron [165]
Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)
6 0
3 years ago
Read 2 more answers
How many pounds is a quarter of a ton?
zmey [24]
1 \ ton = 2000 \ lbs
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3 0
3 years ago
Read 2 more answers
Which algebraic representation shows a reduction?
Grace [21]

Answer:

D. (x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Step-by-step explanation:

A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.

When the dilation produces a smaller image is called a reduction.

Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.

Out of the options, the only one that has a scale factor less than one is:

(x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Since the scale factor is 1/2 which is less than 1.

All other options are not reductions.

5 0
3 years ago
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