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2 years ago

What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours

Mathematics

1 answer:

abruzzese [7]2 years ago

7 0

Answer: $50

Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

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HELP MEEEEE PLEASEEEEEE

Sindrei [870]

Answer:

$x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5$

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

$\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}$

Then

$\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}$

From the similarity of triangles,

$\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}$

6 0

3 years ago

What percent of 1.60 is 6

JulsSmile [24]

N% x 1.60 = 6 (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works. .34 x 57 = 34 x .57

So
.016n = 6 (.016 is 1.60 decimal moved back two places)

Now divide both sides by .016
.016n = 6
.016 .016 n = 375%

Why is the percent over 100% you might ask?

What % of 1.60 is 1.60 (Answer - all of it or 100%)
So What % of 1.60 is 6 - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.

What % of 1.60 is 1.60 - 100%
What % of 1.60 is 3.20 - 200% (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80 - 300% (notice that 4.80 is three times 1.60)
What % of 1.6 is 6.40 - 400% (notice that 6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40 so 375% makes a lot a sense.
Hope you found this helpful.

6 0

3 years ago

If AC = 10 and CG = 21, find AG.

stellarik [79]

The answers 59 because 90 degrees is the angle so 21 plus 10 equals 31 and 90-31 equals 59

8 0

3 years ago

Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2

Nezavi [6.7K]

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

$\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})$ .

Therefore, the expected value of the winnings from a game is

$\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})$ .

4 0

2 years ago

Mr.jacobs budgeted $1,200 for tiles. His sketch of the floor requires him to use 38 white tile. each white tile cost $12. Write

Arturiano [62]

Given:
Budget for tiles = 1,200
number of white tiles = 38
unit cost of white tiles = 12
budget for brown tiles = x

cost of white tiles = 38 x 12 = 456

The inequality would be:

Cost of brown tiles + cost of white tiles < budget
x + 456 < 1,200

solving the inequality:
x + 456 < 1,200
 - 456 -456
x < 744

Mr. Jacobs can spend up to 744 for the brown tiles.

8 0

3 years ago