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3 years ago

10 POINTS AND BRAINLIEST

2 answers:

6 0

- For situation one it would no
$\frac{28}{4} = 7$
✔ Situation 2 would be yes
$\frac{14}{4 } = \frac{7}{2}$
- Situation 3 would be no
$\frac{7.50}{10} = 0.75 = \frac{ 3}{4}$
- Situation 4 would be no
$\frac{1.50}{2} = 0.75 = \frac{3}{4}$

DedPeter [7]3 years ago

4 0

Answer:

Sara runs an average of fourteen miles every four days.

A recipe calls for 3 1/2 cups of flour for every 1 cup of sugar.

Step-by-step explanation:

Determine which of the following situations can be modeled by the ratio 7/2.

For every twenty-eight cats, there are 4 four dogs. NO. The ratio of cats to dogs is 28/4 = 14/2.

Sara runs an average of fourteen miles every four days. YES. The ratio of miles to days is 14/4 = 7/2.

An online clothing store charges $7.50 to ship ten clothing items. NO. The ratio of price to items is 7.50/10 = 0.75/1 = 1.50/2.

A recipe calls for 3 1/2 cups of flour for every 1 cup of sugar. YES. The ratio of cups of flour to cups of sugar is 3.5/1 = 7/2.

Bottled water is on sale this week for a rate of $1.50 for two bottles. NO. The ratio of price to bottles is 1.50/2.

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4 years ago

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DerKrebs [107]

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Step-by-step explanation:

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4 years ago

In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You

kramer

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) The graph in the attached figure

Part 5) see the explanation

Step-by-step explanation:

Part 1) Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking

Let

x ----> the number of hours spent dog walking in November

$12x=600$

solve for x

$x=50\ hours$

Part 2) Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars.

Let

y ----> the number of hours spent washing cars in November

$18y=600$

solve for y

$y=33.33\ hours$

Part 3) Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November.

Let

x ----> the number of hours spent dog walking in November

y ----> the number of hours spent washing cars in November

we know that

You need to earn at least $600 during the month of November

The word "at least" means " greater than or equal to"

$12x+18y\geq 600$

Part 4) Graph the algebraic model in the first quadrant only.

we have

$12x+18y\geq 600$

using a graphing tool

The solution is the shaded area

see the attached figure N 1

Part 5) Use the graph and algebraic model to answer the following:

a) Why does the graph exist only in the first quadrant?

Because the number of hours cannot be a negative number

b) Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph?

Yes its possible to earn exactly $600. All the combinations of outcomes that equal exactly $600 occur in the solid line 12x+18y=600

c) Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph?

Yes its possible to earn more than $600. All the combinations of outcomes that are greater than $600 occur above the solid line 12x+18y=600

d) If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts?

we have the ordered pair (10,10)

substitute in the inequality

$12(10)+18(10)\geq 600$

$300\geq 600$ ----> is not true

therefore

You must not have earned enough money for holiday gifts.

e) Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model?

The ordered pair (10,10) fall below the solid line 12x+18y=600

This location is not representative of the solution to the algebraic model, because the solution of the model is above the solid line

f) How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution?

we know that

$12x+18y=600$ ----> represent a linear equation that show the possible combinations of outcomes that equal exactly $600.

The solution is the set of ordered pairs belong to the solid line

$12x+18y\geq 600$ ----> represent a inequality that show the possible combinations of outcomes that are greater than or equal to $600. The solid line is included in this solution

The solution is the shaded area above the solid line (The solid line is included in the shaded area)

g) In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use?

we know that

When the inequality is of the form ≥ or ≤ we have a solid line

When the inequality is of the form > or < we have a dashed line

The difference is that in the solid line the line is included in the solution and in the dashed line the line is not include in the solution

h) How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?

we know that

when you have an inequality of the form

y> ax+b or y≥ax+b

The shaded area is above the line

when you have an inequality of the form

y< ax+b or y≤ax+b

The shaded area is below the line

The shaded area is the solution set of the inequality (ordered pairs that satisfy the inequality)

The area that is not shaded are the ordered pairs that are not solutions of the inequality (ordered pairs that satisfy the inequality)

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3 years ago

In 2020, dawn earned $248,000. social security tax is 6.2% to a maximum income of $137,700. what was your monthly gross pay? in

Dovator [93]

Monthly gross pay is $20,666.67; Dawn reached the maximum taxable social security income in July; the amount of social security tax Dawn paid in February, July and November are $1,281.33, $849.42, and $0 respectively.

<h3>How do we calculate Social Security Tax?</h3>

Annual gross pay = $248,000

Monthly gross pay = $248,000 / 12 = $20,666.67

Maximum taxable social security income = $137,700

Social Security Tax Rate = 6.2%

Total Social Security Tax = Maximum social security income * Social Security Tax Rate = $137,700 * 6.2% = $8,537.40

Monthly Social Security Tax = Monthly gross earnings * Social Security Tax Rate = $20,667 * 6.2% = $1,281.33

Number of months Don reached the maximum taxable social security income = Maximum social security income / Monthly gross pay = $137,700 / $20,666.67 = 6.66 months

Since 6.66 months is greater than 6 but less than 7, this implies that the month Don reached the maximum taxable social security income is the 7th month which is July 2020.

Also, the 6.66 months imply that Dawn will fully pay his Total Social Security Tax in July.

Social security tax Dawn paid in February = Monthly Social Security Tax = $1,281.33

Social security tax Dawn paid in July = Total Social Security Tax - (Monthly Social Security Tax * 6) = $8,537.40 - ($1,281.33 * 6) = $849.42

Social security tax Dawn paid in November = $0

Note that $0 was paid in November because Dawn had already paid fully his Total Social Security Tax in July.

Learn more about Total Social Security Tax here: brainly.com/question/18268724.

#SPJ1

3 0

2 years ago

A driver drives to school along the same routine Monday through Friday. There is one traffic light on her route . The probabilit

andrey2020 [161]

Answer:

0.525%

Step-by-step explanation:

Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...

35% / 100 = 0.35

0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage

0.00525 * 100 = 0.525%

Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%

8 0

3 years ago