The perimeter of a rectangle is at most 80 inches. The length of the rectangle is 25 inches. The inequality 80-2w (is greater than or equal to) 50 , can be used to find w, the width of the rectangle in inches. Solve the inequality and interpret the solution.
How will the solution change if the width must be at least 10 inches and a whole number?
I know how to solve the equation, it is the second part I'm stumped on.

Answers

Answer 1

Final answer:

The width of the rectangle can be any number less than or equal to 15 inches. If the width also must be at least 10 inches and a whole number, then it can be any of the whole numbers between 10 and 15, inclusive.

Explanation:

You're correct, the initial inequality does solve for w, the width of the rectangle. The inequality 80 - 2w ≥ 50 simplifies to 2w ≤ 30 and further simplified to w ≤ 15. This means that the width of the rectangle can be any number less than or equal to 15 inches.

For the second part of the question, if we also know that the width must be at least 10 inches and it must be a whole number, we can adjust the solution to be an integer number between 10 and 15, inclusive. So the possible values for width would be 10, 11, 12, 13, 14, or 15 inches in this case.

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Answer 2

Final answer:

To solve the inequality 80 - 2w ≥ 50 for w, we need to isolate the variable w. If the width must be at least 10 inches and a whole number, then the solution changes.

Explanation:

To solve the inequality 80 - 2w ≥ 50 for w, we need to isolate the variable w. We can do this by adding 2w to both sides of the inequality:

80 - 2w + 2w ≥ 50 + 2w
80 ≥ 50 + 2w
30 ≥ 2w
15 ≥ w

So, the width of the rectangle must be less than or equal to 15 inches.

If the width must be at least 10 inches and a whole number, then the solution changes. In this case, w can only take on whole number values from 10 to 15, inclusive. So, the width of the rectangle can be 10, 11, 12, 13, 14, or 15 inches.

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Related Questions

What is 212.8 divided by 3.8? Plz Help!!

Answers

easy.

212.8 divided by 3.8 is equivilant to 56. You would solve this by working a long division equation. Please give brainliest, I really need virtuoso.

212.8 divided by 3.8 equals 56. Hope this helped have a good day!

Danielle works as a cashier in a bookstore she works 35 hours a week and earns $11 an hour each week Daniella spends $300 answer saves the rest . Danielle estimates that she earns about $20000 per year is this estimate accurate? explain

Answers

Danielle's estimate of earning about $20,000 per year is accurate, as the calculation based on her hourly wage and weekly hours worked gives an actual annual income of $20,020.

Danielle's estimate of earning about $20,000 per year is accurate based on her hourly wage and weekly hours worked. To assess the accuracy of her estimate, we need to calculate her actual annual income.

Danielle earns $11 per hour and works 35 hours a week. Therefore, her weekly earnings are:

35 hours/week × $11/hour = $385/week.

As there are typically 52 weeks in a year, her estimated annual income would be:

52 weeks/year × $385/week = $20,020/year.

This calculation shows that Danielle's estimate of making about $20,000 per year is indeed accurate.

0.42 inch of rain fell in 3 hours. How many inches of rain fell per hour?

Answers

divide total amount (0.42) by number of hours (3)

0.42 / 3 = 0.14 inches per hour

0.14 inched fell per hour

0.42/3= 0.14

The sum of 2 and three times a number equals 14. Find the number

Answers

the number is 4
14-2=12
12/3=4
answer in correct fashion
2+3×4=14

Let Y be the unknown number
2 times the number is 2Y
3 times the number is 3Y
The sum of two and three times the number is 14. That is represented as;
2Y+3Y=14
5Y=14
Divide both sides by 5
Y=14/5
Y=2.8
The number is 2.8
Have a nice day

Find an equivalent fraction for the decimal number 0.66. In your final answer, include all of your work. 0.

Answers

it is zero because if you move the decimal over two times to the left

can a quadrilateral have 4 obtuse angles

Answers

No. It can have at most 2

A quadrilateral cannot have 4 obtuse angles

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

A quadrilateral

By definition, the sum of angles in a quadrilateral is 360

And an obtuse angle is greater than 90

So, we have

Sum = 4 * greater than 90

Evaluate

Sum = greater than 360

This means that a quadrilateral cannot have 4 obtuse angles

Answers

6

Oh no! Something went wrong while adding your answer
It's too short. Write at least 20 characters to explain it well.

first divide 2,370 and 395 which we will get 6.

Check:
395 x 6= 2,370

Morgan plots the point (4,-7) on a coordinate plane. If she reflects the point aacross the y axis, what are the coordinates of the reflected point?

Answers

(-4,-7)

The x coordinate just becomes a negative

If you imagine a coordinate plane, there are 4 sections.
1 : (+,+)
2 : (-,+)
3 : (-,-)
4: (+,-)

Now, point (4,-7) is in the 4th section. Meaning, the reflection over the y-axis would be in the 3rd section. It would be (-,-)

The reflection over the y-axis of (4,-7) is (-4,-7).

I hope this helps!

The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people , the cost per ticket decreases by $3 for each person in the group .Marcos’s ticket cost $30. Write an solve an equation to find the number of people in Marcos’s group.

Answers

Marco's ticket decreased by twelve dollars. That means his richer was decreased four times. That means, he came with a group of 32 people.

-9u - 5 + 6u = 19

What is u?

Answers

First you want to combine -9u and 6u to get -3u -5 =19
Then you add 5 to both sides to get -3u =24
Finally you divide by -3 to get u=-8

Given ∠ABC is a right angle. Prove ∠1 and ∠2 are complementary.
Write a two column Proof.

Answers

m∠ABC = 90 degrees
m∠1 + m∠2 = m∠ABC
Use transitive property of equality
m∠1 + m∠2 = 90 degrees.
According to the definition of complementary angles, ∠1 and ∠2 must be complementary.

Have an awesome day! :)

Macon is 50 miles from Atlanta. If the time of the trip increases, what happens to the speed?

Answers

The speed has slowed down.

it slows down hope this helps

Mal downloads 4 songs each week for 5 weeks.Then he sorts the songs into equal groups.There are 10 songs in each group.How many groups are there?

Answers

4(5)= 20

20/10= 2

There are 2 groups of songs.

Hope this helps!

There are 2 groups cause 4x5=20 then 20 divided by 2 is 10 so the answer is 2

what is 235 written as a product of prime factors?

Answers

235/5 = 47

5 and 47 are prime, so

235 = 5 * 47

5 divides into 235 without a remainder; the quotient is 47. 47 is prime; it does not have integer factors other than 1 and 47.

Thus, 235 = 5(47) (answer: product of prime factors)

Convert: 2°C to °F (to the nearest tenth).

Answers

i feel like it is 35.6°

Please help asap! Number 2 , picture is included! (10 points)

Answers

So, first, we know that the whole angle must equal 90 because there's a right angle symbol, and right angles equal 90 degrees.

So, 43 + x + 3 must equal 90.

Or, 46 + x = 90

Then subtract 46 from both sides.

x = 90 - 46

x = 44

These would also be adjacent angles because they share the same vertex.

Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. How many rules of ribbon should Quincy buy? Alice needs twice as many yards of ribbon as Quincy. How many rules of ribbon does Alice need?

Answers

I think it is 4380 but im not really sur

How much change will you get back if you bought three $0.99 chocolate bars and paid with a $5 bill

Answers

you will get two dollars

0.99 times 3 is 2.97 and 5.00 subtract 2.97 is 2.03

The change would be $2.03

What is the equivalent ratio of 5/9?

Answers

25/45 because you are multiplying the same amount to a number or a ratio

9,791 rounded to the nearest hundred

Answers

9,800 is your answer

9,791 rounded to the nearest hundred is 9,800 because the tens digit (9) is closer to 0 than 100.

Rounding 9,791 to the nearest hundred means finding the closest multiple of 100 to 9,791. To do this, we look at the tens digit, which is 9, and determine if it's closer to 0 or 100. Since 9 is closer to 0 than to 100, we keep the hundreds digit the same (9) and change all digits to the right to 0. So, rounding 9,791 to the nearest hundred gives us 9,800.

Fractions and decimals are all around us. For example, you might have seen those oval stickers on the back of people’s cars that say 26.2. That is the length of a modern marathon, 26.2 mi. As a fraction, that would be 2 26 10 mi or, in simplest form, 1 26 5 mi. A. Find three examples of fr actions or decimals in the real - world. You can use videos, magazines, newspapers, books, or the In ternet. Don't take more than two examples from the same source. Also, get a mix of fractions and decimals. Don't choose all fractions or all decimals. B. List your examples. Explain each example and list the source. C. Convert each example either from a fraction to a decimal or from a decimal to a fraction. Don’t forget to show your work and simplify.

Answers

Example 1: Quarter pounder (USA McDonalds)
Fraction form: 1/4 Decimal form: 0.25

Example 2: BOGO 1/2 off (Sale at shoe store, buy one get one half off)
Fraction form: 1/2 Decimal form: 0.50

Example 3: Gas prices
$2.63 per gallon
Fraction form: 2 63/100 Decimal form: 2.63

Which of these numbers is NOT rational? A.√3 B.0.25 C.1/5 D.√9

Answers

The answer is A.
1.7320508075688773

The correct option is "option A" , i.e., √3 .

In the question some options are given which consists of some numbers.

We have to find out which number is not a rational number.

What is the difference between rational and irrational numbers ?

Irrational numbers can not be represented in the form of rational numbers or in other words the irrational number cannot be expressed in the p/q form.

As per the definition , Let's check which one is not rational.

A) √3

= 1.723

This can't be represented in p/q form . So , this is not rational number.

By checking all other options we get to know that these all are rational numbers as we can express them in p/q form.

Thus , the correct option is "option A" , i.e., √3 .

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-3-4y=-23 -3x+y=2 using elimination

Answers

I think you are missing an x in the equation -3 - 4y= - 23.

If not, then multiply -3x + y = 2 by 4. This will eliminate y.

4(-3x + y) = 4(2)

-12x + 4y = 8
-3 - 4y = - 23

Do you see that 4y and -4y disappear?

-15x = -15

x = -15/-15

x = 1

Can you find y?

what does a negative y-intercept mean for real world application?

Answers

Like a person with a $1,000 debt and starts making monthly payments, the money that person owes becomes less and less each month.

Final answer:

A negative y-intercept in a real-world context indicates that the system or condition being measured starts below the baseline or has a deficit to begin with. It can represent an initial loss in economics, such as starting with debt or needing initial investment. The slope of the line is critical to understanding how changes in one variable affect another.

Explanation:

A negative y-intercept in a real-world application can have various implications depending on the context. In many scientific experiments, the y-intercept represents the baseline level of the system without any experimental conditions applied. If the y-intercept is negative, this might indicate that in the absence of a certain factor (represented by the x-variable), the system has a deficit or a reduction in the measured quantity. For instance, if we are plotting a graph of growth over time, a negative y-intercept could imply that there was an initial debt or loss before measurements began.

When it comes to economics and data models, a negative y-intercept on a graph could represent a starting deficit. For example, a company might have initial losses (negative y-intercept) that it seeks to overcome as production (x-variable) increases. Supply and demand models, cost projections, and similar economic graphs can also have negative y-intercepts indicating starting positions below zero on the graph—such as starting with a debt or having to invest before seeing any return.

The y-intercept and the slope (m-term) together specify a particular line on a graph that can offer a reasonable approximation of real-world data. Economists find the slope particularly useful as it shows the relationship between two variables, like how a change in price affects the quantity supplied.

ab + 3c = 2x, for b

Answers

Ab + 3c = 2x

Subtract 3c from both sides.

ab = 2x - 3c

Divide a from both sides.

b = 2x - 3c / a

Hope this helps!

Final answer:

To solve the equation ab + 3c = 2x for b, subtract 3c from both sides and divide by a.

Explanation:

To solve the equation ab + 3c = 2x for b, we need to isolate b on one side of the equation. First, subtract 3c from both sides to get ab = 2x - 3c. Then, divide both sides by a to get the final solution: b = (2x - 3c) / a.

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Two lines intersect to form a linear pair with equal measures. One angle has the measure 9x° and the other angle has the measure (9y − 54)°. Find the values of x and y.

Answers

My understanding is that the 2 angles add up to 180 degrees, so 9x+9y-54=180. Also, 9x=90 and 9y-54=90. 9x=90, so x=10. 9y=90+54. 9y=144. y=16.

A bath tub will hold 1 hectoliter of water. How many liters will it hold?

Answers

1 hectoliter=100 liters!

So the bathtub will hold 100 liters.

Hope this helps!

the answer to this question is 100. hope this helps

Помогите пожалуйста

Answers

It is irrational because it cannot be written as a ration of two integers .

4y−2(3/2y−5) simplify

Answers

First you distribute:
4y - (2 * [tex] \frac{3}{2} [/tex]y) - (2 * 5)
4y - 3y - 10

Then you combine like terms:
(4y + -3y) - 10
1y - 10

Simplify:
y-10

List factor pairs of 56

Answers

1 and 56, 2 and 28, 4 and 14, 7 and 8

Factor pairs are pairs of numbers that, when multiplied together, equal the original number. Prime numbers only have the factors 1 and the number itself.
I start by prime factoring the number, then combining our primes to make the factor pairs:
56 = 8 x 7
56 = 2 x 2 x 2 x 7

For 56, we have:
1 and 56
2 and 28 (2, then combine 2 x 2 x 7)
4 and 14 (2 x 2 = 4 , then combine 2 x 7=14)
7 and 8 (2 x 2 x 2=8, then 7)

If you like my answer, please give me a 'brainliest' - I'm trying to quickly improve my site ranking :-)

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