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2 months ago

Guest #4237

2 months ago

Acute triangle because all the angles are less than 90

Question

What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80

Solution 1

The first quartile is the middle of the lower half of the data.

To find this you must:

1. Order the data from least to greatest.

**42, **__46, 51__, 53, **| ** 66, 70, 70, 90

2. Next, find where the middle of the data set it - see the line above

3. Look at the lower half of the data - see the bold half above.

4. Find the middle of that half - see the underlined numbers above.

5. Find the middle of the 2 numbers

__(46 + 51)__

2 = 48.5

48.5 is the 1st quartile.

To find this you must:

1. Order the data from least to greatest.

2. Next, find where the middle of the data set it - see the line above

3. Look at the lower half of the data - see the bold half above.

4. Find the middle of that half - see the underlined numbers above.

5. Find the middle of the 2 numbers

2 = 48.5

48.5 is the 1st quartile.

Solution 2

Answer:

I'm positive the answer is 48.5

Question

write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?

Solution 1

To honor 50 years of **business**, All **Strikes Bowling **is having an **anniversary **special. The **game **he can **bowl **is 25.

The **unitary method** is a method for solving a problem by the** first value **of a **single unit **and then finding the **value **by multiplying the **single value.**

To honor 50 years of **business**, All **Strikes Bowling **is having an **anniversary **special.

**Shoes **rent for $1.25 and each **game **is $0.75. If **Charlie **has $20 and needs **shoes**.

**Charlie **can **bowl **25 **games**.

= 20 - 1.25

= 18.75

So, he can **bowl game**

= 18.75/ 0.75

= 25 **games**

Learn more about the** unitary method**;

#SPJ2

Solution 2

Charlie can bowl 25 games.

20 - 1.25 = 18.75

18.75/.75 = 25 games

20 - 1.25 = 18.75

18.75/.75 = 25 games

Question

13 percent of what is 78

Solution 1

13% of what is 78

"what" is the unknown, so use x for what.

"of" in math usually means a multiplication.

"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

"what" is the unknown, so use x for what.

"of" in math usually means a multiplication.

"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

Solution 2

I think the answer is 600

Question

The scatter plot shows the relationship between the time since Martha has left work and the distance she is from home. The equation for the line of best fits is y=-0.7x + 14.6
What does the slope of the line best fit represent?
A. On average each minute Martha gets approximately 0.7 miles closer to home.
B. On average each minute Martha get approximately 0.7 miles farther from home.
C. When Martha first leaves work she is approximately 0.7 miles from home.
D. When Martha first leaves work she is approximately 0.7 minuets from home

Solution 1

The correct answer is A.

The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute. Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.

The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute. Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.

Question

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?

Solution 1

**Answer:**

**Justin got 7 rolls of quarters and 4 rolls of dimes.**

**Step-by-step explanation:**

Let the roll of quarters be x

Let the rolls of dimes be y

As total money received is $90, the equation becomes;

.....(1)

And he got 11 roll of coins, so equation becomes;

or .... (2)

Substituting the value of x from (2) in (1)

So, y = 4

As

So,

x = 7

**Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.**

Solution 2

Well, it really depends but it could be 9 rolls of quarters, 5 rolls of quarters and 8 rolls of dimes, 4 rolls of quarters and 10 rolls of dimes, 3 rolls of quarters and 12 rolls of dimes, etc.

Question

The smith family is shopping for a new car and they are basing decision on color and style. Explain how many color choices and how many style choices they might have if there are 8 possible outcomes. Justify your answer

Solution 1

Either there are 2 color choices and 4 styles to choose

or 4 color choices and 2 styles to choose

or 4 color choices and 2 styles to choose

Solution 2

**Answer:**

Sample response: The Smith family has 2 choices to make, color

and style. By the fundamental counting principle, the product of the

number of choices of color and style must equal 8. So, there could be 1

color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,

or 8 colors and 1 style.

**Step-by-step explanation:**

Question

sally made 10L of lemonade to sell for a fundraiser. if she puts 230ml of lemonade in each cup and sells each cup for fifty cents how much money can she make? how many ml of lemonade will remain? show work please

Solution 1

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

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

Question

harry buys a sofa set that costs$2,000.he pays for it with 12 month installments. how much will he pay each month? if he has to pay5%in interest how much will he pay in all for the sofa set?

Solution 1

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**

Total amount = $2000 + $100 = $2100

Month instalment = $2100 ÷ 12 = $175

Question

James filled 4 glasses with milk. Patrick filled 6 glasses with milk. Each glass held 8 ounces of milk. Which method explains a way to calculate the difference in the amount of milk each boy poured? A. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Add the products. B. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Add the quotients. C. Step 1 Multiply: 4 × 8. Step 2 Multiply: 6 × 8. Step 3 Subtract the products. D. Step 1 Divide: 8 ÷ 4. Step 2 Divide: 8 ÷ 6. Step 3 Subtract the quotients.

Solution 1

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! :)

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! :)

Question

A number m minus 3 is more than -4

Solution 1

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! :)

> = 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! :)

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