Guest #7576

2 months ago

22/400

Divide top and bottom by 2. 2 into 22 is 11 and 2 into 400 is 200.

11/200.

No other number can go into 11 and 200.

= 11/200 in Simplest form.

Divide top and bottom by 2. 2 into 22 is 11 and 2 into 400 is 200.

11/200.

No other number can go into 11 and 200.

= 11/200 in Simplest form.

Guest #7577

2 months ago

Its 11/200. You divide both numbers by 2 so you can't divide it anymore.

Question

What conclusions can you make about numbers in scientific notation with negative exponents?

Solution 1

A conclusion that you can make about numbers in scientific notation with negative exponents that the answer is going to be negative!

Question

three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally. write an inequality to find possible amounts each friend earned. identify what your variable represents.

Solution 1

Let the original amount they earned be x.

They earned more than $200, therefore x > 200

They paid their parents $28, assuming all the parents got $28

So we remove 28 from both sides of the inequality

x -28> 200-28

Let y be the amount left after paying their parents, and replace (x -28) with y in the inequality above.

y> 200-28

y> 172

Amount each got, divide both sides of the inequality by 3.

y/3 > 172/3

Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above

z > 172/3

z > 57.33

Each got more than $57.33

They earned more than $200, therefore x > 200

They paid their parents $28, assuming all the parents got $28

So we remove 28 from both sides of the inequality

x -28> 200-28

Let y be the amount left after paying their parents, and replace (x -28) with y in the inequality above.

y> 200-28

y> 172

Amount each got, divide both sides of the inequality by 3.

y/3 > 172/3

Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above

z > 172/3

z > 57.33

Each got more than $57.33

Solution 2

28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86 now we gonna find the value of x.

28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x.

28x≤114 divide 28 both of side to get value of x so it will be x≤4

28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x.

28x≤114 divide 28 both of side to get value of x so it will be x≤4

Question

Question 2 Unsaved Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.

Solution 1

Let the dog's age be called x.

From the given statement, the following equation can be framed

Cat's age = 2*x -5

We are given to know that Cat's age is 11 years

So, we have:

11 = 2x -5

2x = 16

x = 16/2

x = 8

**Dog's age = 8 years**

Solution 2

The dog is 8 years old because If you take 8 and multiply it by 2 you get 16 and then you subtract 5 and you get 11 years old or the cats age

Question

Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences. Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?

Solution 1

I. Exchange traded funds (ETFs) equally distributed among the US stock fund, a US bond fund, an international stock fund, and an international bond fund. This is because ETFs provides diversification and low expenses.

ii.The perfect time to start saving is as soon as you have a full-time job. If the employer has a tax deferred investment plan, and if the employer matches some of your investment then you'll be ready to get extra benefits.

iii. I'd put my investments in ETFs equally distributed among a US stock fund, an international fund, a US bond fund and an international bond fund. This reduces expenses through diversification.

ii.The perfect time to start saving is as soon as you have a full-time job. If the employer has a tax deferred investment plan, and if the employer matches some of your investment then you'll be ready to get extra benefits.

iii. I'd put my investments in ETFs equally distributed among a US stock fund, an international fund, a US bond fund and an international bond fund. This reduces expenses through diversification.

Question

A factory machine produces 5/10 kilograms of chocolate every 1/6 minutes. At what rate does the machine produce chocolate?
A. 1/3 kg/min
B. 2/5 kg/min
C. 3 kg/min
D. 6 kg/min

Solution 1

The answer is C, 3 kg/min

:) Have a nice day and maybe consider grading this answer brainliest? <3

:) Have a nice day and maybe consider grading this answer brainliest? <3

Question

Tim's taxicab business charges a fixed dollar amount to pick up passengers, plus a per-mile charge. The fixed cost, y, given as a function of the number of miles, x, is y = 2x + 3. What is the per-mile charge, in dollars, for each additional mile? Enter your answer in the box. Use number(s) only.

Solution 1

In y = 2x + 3, 3 represents the fixed cost and 2 represents the cost-per-mile.

The per mile charnge, in dollars per mile, is $2/mile (answer)

The per mile charnge, in dollars per mile, is $2/mile (answer)

Question

An equation is shown below: 5(2x − 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.

Solution 1

A) This **equation **has only** one solution. **B) The **solution **would be x = 2.

For that ,we will try **solving **it first using the **method **of **substitution **in which we express one **variable **in other **variable's **form and then you can **substitute **this value in other **equation **to get **linear equation** in **one variable**.

If there comes a = a **situation **for any a, then there are **infinite solutions.**

Given **equation **is 5(2x − 3) = 5

By **solving **further,

10x -15 = 5

10x = 20

x = 2

A) This **equation **has only** one solution.**

B) The **solution **would be x = 2

Learn more about the case of **solutions **here:

#SPJ2

Solution 2

10x -15 = 5

10x = 20

x = 2

This equation has one solution.

The solution would be**x = 2**

10x = 20

x = 2

This equation has one solution.

The solution would be

Question

PLEASE HELP!! The Speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes. The ratio of skiers who bought season passes to the snowboarders who bought passes is 1:2. If 1250 more snowboarders bought season passes than skiers, how many snowboarders and how many skiers bought season passes?

Solution 1

Let the skiers be K. Let the snowboarders be N

Therefore K:N = 1:2

If 1250 more snowboarders bought than skiers.

If K are the skiers, therefore the snowboarders , N = K + 1250

K:N = 1:2 : K:(K + 1250) = 1:2

K/(K+1250) = 1/2

2K = 1*(K+1250)

2K = 1*(K+1250)

2K = K + 1250

2K - K = 1250

K = 1250

1250 skiers bought the season passes.

Therefore K:N = 1:2

If 1250 more snowboarders bought than skiers.

If K are the skiers, therefore the snowboarders , N = K + 1250

K:N = 1:2 : K:(K + 1250) = 1:2

K/(K+1250) = 1/2

2K = 1*(K+1250)

2K = 1*(K+1250)

2K = K + 1250

2K - K = 1250

K = 1250

1250 skiers bought the season passes.

Question

The difference between an observational study and an experiment is that in an observational study only one group is studied, and in an experiment two groups are studied
in an observational study, researchers do not control treatment, and in an experiment they do
in an experiment cause and effect is analyzed, and in an observational study, it is not
in an experiment one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time

Solution 1

**Answer: In an observational study, researchers do not control treatment, and in an experiment they do .**

**Step-by-step explanation:**

**Observational study** is the study where the researcher observes the subjects and measures variables, but does not influence the population where as in an **experiment** the experimenter has control on the independent variable to see the effect on the dependent variable.

So the correct difference between an observational study and an experiment is that "in an observational study, researchers do not control treatment, and in an experiment they do."

Solution 2

**Answer:**

B on EDG

**Step-by-step explanation:**

Question

The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number. Please help me

Solution 1

"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft

Convert this to feet: 16*pi inches times ---------------

12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100

------------- = --------- rotations = 525 rotations (answer)

(4/3) pi ft 4

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft

Convert this to feet: 16*pi inches times ---------------

12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100

------------- = --------- rotations = 525 rotations (answer)

(4/3) pi ft 4

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