Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?

Either there are 2 color choices and 4 styles to choose 
or 4 color choices and 2 styles to choose

So 10L is equivalent to 10,000 mL (I moved the decimal place three to the right)
so now, divide 10,000 by 230 which is roughly 43 (it was a decimal, so what you're gonna have to do is, take 230 and multiply it by 43 to see what you get which is 9890. Now take 9890 and subtract it from 10,000 which gets you 110 mL).
So there is 110 mL left over.
So Sally sold 230 cups of lemonade, now multiply those 230 cups by 50 cents (or $0.50 (multiplying it by 0.50 will save you from having to move the decimal places over to the left)
230 x .50 = $115

Interest = 5% x 2000 = 0.05 x 2000 = $100

Total amount = $2000 + $100 = $2100

Month instalment = $2100 ÷ 12 = $175

Answer: $175 each month. Total amount paid = $2100

STEP 1:
multiply 4 glasses by 8oz

= 4 * 8
= 32 total ounces in 4 glasses


STEP 2:
multiply 6 glasses by 8oz

= 6 * 8
= 48 total ounces in 6 glasses


STEP 3:
subtract the difference of steps 1 & 2

= 48 ounces - 32 ounces
= 16 ounces difference


ANSWER: (C) Step 1 multiply: 4 × 8. Step 2 multiply: 6 × 8. Step 3 subtract the products

Hope this helps! :)

M= a number
> = more than/greater than

Expression:
m - 3 > -4

If you have to also solve:

m - 3 > -4
add 3 to both sides

m > -1


ANSWER: expression is m - 3 > -4;
expression solved for m is m > -1

Hope this helps! :)

- The best method to test Zoe's claim is an observational study, as with this method it is possible to observe if the claim presents some truth to it. Observational studies are often used in testing claims like Zoe's as they allowed to have a great access to the variable that are behind a claim of that type, and so they are also more accessible.

- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way. 

A standard deck has 52 cards.
A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221

Assuming the scale is 750:1, you can set up the following proportion:



Cross multiply the values.

750x = 301

Divide both sides by 750 to solve for x.

x = 

Converted to a decimal and rounded to the nearest tenth, the scale model will be 0.4 meters tall.

6 divided by 40 is 15 percent so the answer is 6

Percentage increase can be found by the following equation:

(new cost / old cost) - 1 = percentage increase

Plug the values in.

(2.80/2.45) - 1 = percentage increase
1.1428 - 1 = 0.1428

Convert the decimal to a percentage.

0.1428 = 14.28%

Rounded to the tenth spot, the percentage increase is 14.3%.