We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

$2(11x)=10x^2$ and

$10x^2-22x=0$ and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to $\frac{22}{10}=2.2$

So x = 2.2 and y = 22.

7 0

2 years ago

A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total co

egoroff_w [7]

Answer:

There is 8 adults and 1 child

Step-by-step explanation:

$78 - $6 = $72

$72 divided by 9 = 8

you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)

6 0

2 years ago

A tutor earn 25 dollars how much will she earn if she tutors for 4 hours

Andre45 [30]

If it is $25 per hour then $100 for 4 hours

7 0

3 years ago

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