MATHEMATICS
MIDDLE SCHOOL

About how much further did Molly walk than her brother and sister combined?

a) about 1.4 miles

b) about 1.2 miles

c) about 2.4 miles

d) about 2.2 miles

Answer:

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Answer:

Your answer would be a) about 1.4 miles

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Step-by-step explanation:

In order to solve this problem, we're going to need to round to the tenths place.

The tenths place is the decimal place to the right of the decimal.

Example: 0.54 --- 5 would be in the tenths place.

We would use the number next to it to see if we're going to round up or stay the same.

3.45 --- 4 is in the tenths place. When we look at the number next to it, 5, we would notice that it's big enough to make 4 round up. You would round 4 up to 5.

Your decimal should look like this: 3.5

1.23 --- 2 is in the tenths place. When you look at the number next to it, 3, it's not big enough for us to round it up, so we would keep the number 2 the same.

Your decimal should look like this: 1.2

0.85 --- 8 is in the tenths place. When you look at the number next to it, 5, you would see that it's big enough for you to round up, so you would round the 8 to a 9.

Your decimal should look like this: 0.9

Our rounded decimals:

3.5

1.2

0.9

Now, we have our rounded decimals. We're going to need to find how much Molly walked more than her sister and brother.

Molly walked 3.5

Her sister walked 1.2

Her brother walked 0.9

To solve that question, we would get 3.5 and subtract it with the rest of the numbers, since we are subtracting Molly's walk length to her brother and sister's combined walked length.

You should get 1.4

Therefore, Molly walked 1.4 miles more than her sister and brother combined.

A). about 1.4 miles should be your FINAL answer.

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HIGH SCHOOL

A local charity sponsors a 5K race to raise money. It receives $25 per race entry and $5,000 in donations, but it must spend $5 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise more than $25,000. Show your work! Question 1 options:

Spell check

they receive 25 per entry but 5 goes towards the cost of the race

so 25-5 = 20 per entry is for the charity

so 20x + 5000 = 25000

subtract 5000 from each side

20x= 20000

divide both sides by 20

x = 20000/ 20

x = 1000

they need at least 1000 entries to make 25000

so to make more than 25000, they need 1001 entries

MIDDLE SCHOOL

The sum of 5 consecutive integers is 120. What is the third number in the sequence?

5 consecutive integers can be written like

1. x

2. x+1

3. x+2

4. x+3

5. x+4

sum means add them all up.

combine like terms and solve for x.

remember it is looking for third in the sequence, so add 2 to your answer.

good luck!

1. x

2. x+1

3. x+2

4. x+3

5. x+4

sum means add them all up.

combine like terms and solve for x.

remember it is looking for third in the sequence, so add 2 to your answer.

good luck!

HIGH SCHOOL

Suppose two drugs are routinely used for treatment of a particular kidney disorder. Drug 1 is known to cure the disease 85% of the time and costs $90. Drug 2 is known to cure the disease 70% of the time and costs $65. The two drugs work independent of each other (that is, administration of one has no effect on the efficacy of the other). The two treatment plans are as follows: Plan

a. Treatment with Drug 1—if not effective, treatment with Drug 2.

Plan

b. Treatment with Drug 2—if not effective, treatment with Drug 1.

Which statement is most correct in this situation?

a.Based on the overall probability of a cure, Plan A should be selected over Plan

b.

b.Based on the overall probability of a cure, Plan B should be selected over Plan

a.

c.Based on the overall cost of treatment, Plan A should be selected over Plan

b.

d.Based on the overall cost of treatment, Plan B should be selected over Plan

a.

e.Based on the probability of a cure and the cost of treatment, both plans are equivalent, so either can be selected.

The correct answer for the question that is being presented above is this one: "e.Based on the probability of a cure and the cost of treatment, both plans are equivalent, so either can be selected. Suppose two drugs are routinely used for treatment of a particular kidney disorder. Drug 1 is known to cure the disease 85% of the time and costs $90.

Answer:

Based on the overall probability of a cure, Plan B should be selected over PlanStep-by-step explanation:

According to the problem, Drug 1 has the higher probability to cure disease, with a 85%.

Knowing this, Plan B is the best option, because implies using Drug 2 if Drug 1 doesn't work, that means this plan used Drug 1 in first place, which has the higher probability to cure.

In other words, it would be better if they use Drug 1 first, because if cost $25, but it has higher chances to cure. Because, if the use Drug 2 first, there're chances to fail, and that would imply higher expenses.

Therefore, the right answer is "Based on the overall probability of a cure, Plan B should be selected over Plan"

HIGH SCHOOL

What kind of transformation converts the graph of f(x)=6|x|-3 into the graph of g(x)=2|x|-1 Answers:

Horizontal Shrink

Vertical Stretch

Vertical Shrink

Horizontal Stretch

The answer to your question is horizontal stretch

COLLEGE

A number is called squarefree if it is not divisible by the square of a positive integer greater than one. find the number of square free positive integers less than 100.

Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.

Possible perfect squares are the squares of integers 2-9.

In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.

Tabulate the number (in [ ])of integers containing factors of

2^2=4: 4,8,12,16,...96 [24]

3^2=9: 9,18,....99 [11]

5^2=25: 25,50,75 [3]

7^2=49: 49,98 [2]

So the total number of integers from 1 to 99

N=24+11+3+2=40

=>

Number of positive square-free integers below 100 = 99-40 = 59

Possible perfect squares are the squares of integers 2-9.

In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.

Tabulate the number (in [ ])of integers containing factors of

2^2=4: 4,8,12,16,...96 [24]

3^2=9: 9,18,....99 [11]

5^2=25: 25,50,75 [3]

7^2=49: 49,98 [2]

So the total number of integers from 1 to 99

N=24+11+3+2=40

=>

Number of positive square-free integers below 100 = 99-40 = 59

HIGH SCHOOL

Is 1/6 greater than 1/5?

1/6 is less than 1/5. When you cross multiply both fractions to see which one is bigger, 1/5 turns out to be bigger. 1×5 & 1×6 (1/6×1/5)

No, because 1/6 is just 1 out of 6, while 1/5 is 1 out of 5, which is a greater percentage of the overall number.

COLLEGE

What is the volume of this right rectangular prism? Enter your answer as a decimal in the box. cm³ A rectangular prism with a length of 6.1 centimeters, a width of 5.4 centimeters, and a height of 8 centimeters.

The volume of the right rectangular prism is 263.52 cubic centimeters

How to determine the volume of the right rectangular prism?The dimensions are given as:

- Length = 6.1 centimeters
- Width = 5.4 centimeters
- Height = 8 centimeters

The volume is calculated using:

Volume = Length * Width * Height

This gives

Volume = 6.1 centimeters * 5.4 centimeters *8 centimeters

Evaluate the product

Volume = 263.52 cubic centimeters

Hence, the volume of the right rectangular prism is 263.52 cubic centimeters

Read more about volumes at:

brainly.com/question/1972490

The volume of a rectangular prism is equivalent to the equation Bh. But to find the base you must first do lw or in this equation 6.1 times 5.4. That equals to 32.94. You then use the height, or in this case 8 and multiply it times 32.94. Your final answer should be 263.52 cm. cubed.

MIDDLE SCHOOL

Rafael sold t-shirts and hats at a festival. He made a $3 profit for each t-shirt he sold. He also made a profit $45 from selling hats. If he made a total profit of $93, how many t-shirts did he sell?

Answer:

16

Step-by-step explanation:

The total profit is $93

He made a $45 profit selling hats

The question says he only sold t-shirts and hats

Since we are solving for the amount of t-shirts sold we subtract $45 from $93 and get $48 dollars earned from t-shirts

He makes $3 per t-shirt

We divide the amount per t-shirt by the total t-shirt money earned

This looks like: 48/3

We get 16 as our answer

HIGH SCHOOL

Steve finds the value of -12+18. Marion finds the value of -10-(-15). Whose expression has the greater value ?

Steve’s! Steve=6 & Marion=5