Answer:134
Step-by-step explanation:
The answer is v>-55/p
When dividing or multiplying an inequality by a negative, the sign changes. If it was > it becomes <. If it was >= it becomes <=. Hope I was able to help
Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)
Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.
So, the volume of these paper cups is
(1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
=====================
It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.
How many cups will that fill ?
37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================
How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.
1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough
You need to buy <em>5 packs = <u>250 cups</u></em>.
=================================
It started raining, so you only sold 80% of the lemonade that you had.
80% means 0.80
"of" means "times"
You started out with 37,850 cm³ .
You sold (0.8) x (37,850 cm³) = about <u>30,280 cm³</u> of it.
How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)
30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.
You bought 250 cups to start out.
You sold 164 cups of lemonade.
You had (250 bought - 164 used) =
<em>86 clean, unused paper cups, still in the wrappers, left over</em>.
Well both children has 110 marbles between them, and one child lost half and the other lost 20 so then it said they had an equal number so the other girl must had 20 so that makes 40 and 110-40= 80 so 80 is like the marbles that are left
Answer:
First, let's find where the lines:
x + 2y = 0
2x - y - 12 = 0
intersect.
First, let's isolate the variable y in one side of the equalities.
y = (-x/2)
y = 2x - 12
Now we have:
-(x/2) = 2x - 12
We can solve this for x.
12 = 2*x + x/2 = 2.5*x
12/2.5 = x = 4.8
Then, replacing that value in any of the lines, we can find the value of y.
y = 2*8 - 12 = 2*4.8 - 12 = -2.4
Then those lines intersect in the point (4.8, -2.4)
Now we want to find the line that passes through the points (-2, 3) and (4.8, -2.4)
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then, the slope for our line is:
a = (3 - (-2.4))/(-2 - 4.8) = -0.79
And the
y-intercept will be:
y = -0.79*x + b
when x = -2, y = 3.
3 = -2*-0.79 + b
3 - 2*0.79 = b = 1.42
The line is:
y = -0.79*x + 1.42
