Answer:
9
Step-by-step explanation:
Let us say, Olivia's age is x.
Now as the question says, we will get this equation.
Multiply both sides by 3.
Collect like terms.
Calculate.
Divide both sides of the equation by -5.
Then, we will get the answer.
<u>I</u><u> </u><u>h</u><u>o</u><u>p</u><u>e</u><u> </u><u>i</u><u>t</u><u> </u><u>h</u><u>e</u><u>l</u><u>p</u><u>s</u><u>.</u>
Answer:
Step-by-step explanation:
Area is the product of two dimensions.
<u>If the scale factor is 1/4, the ratio of the areas will be: </u>
The smaller prism has a surface are of 45 cm².
<u>The larger prism has a surface area:</u>
Answer: x=-1 and y= -3
Step-by-step explanation:
Solve for x, x+y=-4
Minus y from both sides so it'll be X=-y-4
Now substitute -y-4 in x-y=2 and solve for y
-y - 4 -y=2
Add like terms, -2y - 4=2
Add 4 to both sides -2y=6
Divide both sides by -2 
y= -3
Substitute -3 in x=-y - 4
x=-(-3) - 4
- × (-3)= 3
3 - 4= -1
x= -1
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
Most of the time its juss common sense where you can point the right measurement with just sense i guess
