Answer:
3 feet long
Step-by-step explanation:
If the area of the kitchen is 48 and the pantry is 8 times smaller, then you would do 48 / 8 and get six. You would then do 6 / 2 to get the answer of three.
Hope this helps!
<span><u>3(x-6)=10x+3</u></span>
Expand the left side:
3x-18 = 10x + 3
Subtract 3x from each side:
-18 = 7x + 3
Subtract 3 from each side:
-21 = 7x
Divide each side by 7 :
<u>-3 = x</u>
Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.
Let the number of toys Oleg has = x
Let the number of toys Sasha has = y
Let the number of toys Dima has = z
Sasha had twice as many toys as Oleg
So y = 2*x= 2x
Dima had 40 more toys than Oleg.
z = x + 40
Oleg, Sasha, and Dima shared 600 toys
x + y + z= 600
We know y=2x and z=x+40
Replace it for y and z
Subtract 40 on both sides
Divide by 4 on both sides
Oleg had 140 toys
Answer:
B
Step-by-step explanation:
The first step of any problem solution is <em>look at the given information</em>. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
<u>x-intercept</u>
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
<u>y-intercept</u>
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
<em>Additional comment</em>
Part of "look at the given information" is "look at the answer choices." What you look for is <em>what makes one choice different from the others</em>. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
When we're finding the mean we add all the numbers then we DIVIDE THE AMOUNT OF NUMBERS. In this case, we have to divide by 5 because that's the amount of numbers there are.
