Kristy bought some rolls of wrapping paper and 2 bags of bows for less then $10. Each roll of wrapping paper and each bag of bows cost $1.50. Which inequality can be used to find w, the number of rolls of wrapping paper Kristy bought?

Answers

Answer 1

Answer:

[tex]w < 4 \frac{2}{3}[/tex]

Step-by-step explanation:

The inequality symbol for 'less than' is '<'.

Let's relate the cost and the number of each item bought together with an equation.

Total cost

= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)

= w(1.50) +2(1.50)

= 1.5w +3

Now, we can form the inequality.

Since the total cost is less than $10,

1.5w +3< 10

Subtract 3 from both sides:

1.5w < 10 -3

1.5w < 7

Divide both sides by 1.5:

[tex]w < 7 \div \frac{3}{2} [/tex]

[tex]w < 7 \times \frac{2}{3} [/tex]

[tex]w < \frac{14}{3} [/tex]

[tex]\textcolor{red}{w < 4 \frac{2}{3} }[/tex]


Related Questions

The height of a triangle is 4cm more than twice the length of the base.The area of the triangle is 35 square cm.Find the height of the triangle.​

Answers

Answer:

14cm

Step-by-step explanation:

Algebra is the way!

But seriously, let's model this algebraically.

We know the that the area of a triangle is represented by:

[tex]A = \frac{1}{2} base*height[/tex]

we'll use b and h to represent base and height

[tex]A = \frac{1}{2} b*h[/tex]

Okay, so you are given the area of the triangle already. It is [tex]35 cm^2[/tex]. SO you have:

[tex]35 = \frac{1}{2} bh[/tex]

Now here's the tricky bit of the question. You have 2 unknown variables, oh no! How will you solve? The key to this is simple, in a case where you have 2 or more unknown variables, ALWAYS think to yourself, "can I represent this variable in terms of another"?

In this case you can. They tell you what the height of the triangle is, in terms of the length of the base. They tell you, height is 4 cm more than 2 times the base.

So replace h in this equation with 2b + 4.

[tex]35 = \frac{1}{2} (b)(2b+4)\\\\35 = \frac{1}{2}(2b^2 + 4b)\\ 70 = 2b^2 + 4b\\0 = 2b^2 + 4b - 70\\0 = (2)(b^2 + 2b - 35)\\0 = (b +7)(b - 5)\\\\b = 5\\b\ \neq -7[/tex]

Okay, so you know the base of the triangle is 5 cm. The question asks for height, so what you're going to do is refer back to what h is.

We found that [tex]h = 2b + 4[/tex]

sub in 5 into that:

[tex]h = 2(5) + 4 = 14[/tex]

Therefore the height of the triangle is 14cm.

Answer:

Step-by-step explanation:

Givens

Area = 1/2 B* H

B = B

H = 2*B + 4

Area = 35

Solution

35 = 1/2 * B * (2B + 4)                          Multiply both sides by 2

35*2 = 2*(1/2) * B * (2B + 4)                 Combine

70 = B(2B + 4)                                      Remove the Brackets.

70 = 2B^2 + 4B                                    Subtract 70 from both sides.

2B^2 + 4B - 70 = 0                               Divide everything by 2

B^2 + 2B - 35 = 0                                 Factor

(B + 7)(B - 5)

B+7 = 0 will give a minus number. Geometry does not allow minus numbers.

B - 5  = 0

B = 5

But what you want is the height.

h = 2b + 4

h = 2*5 + 4

Answer: h = 14

6. Higher Order Thinking The manager of a restaurant wants to add two new side dishes to the menu. She surveys customers about side dish preferences and records the results in the table shown at the right. a. Find the experimental probability that a customer prefers either baked potato or asparagus. b. Find the experimental probability that a customer prefers either steamed broccoli or sweet potato.​

Answers

Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287

Use rounding to estimate the product of 5, 555 and 4, 444. Round both numbers to the nearest thousand to find your answer.
The solution is

Answers

Step-by-step explanation:

5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.

Help me please, thank you​

Answers

Answer:

Option D is your correct answer

I think it will help.


5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

6+4+5 = 15

5+4 = 9

9/15 = 3/5

Answer:

3/5

Step-by-step explanation:

Since it given that a bag of tiles contains:

6 green

4 yellow

5 blue

To Find:

If one tile is pulled at random what is the probability of NOT choosing a green tile.

Solve:

knowing that there are a total of 15 tiles {6+5+4=15}

And there is 6 green tiles

Thus, 15 - 6 = 9

Hence, the probability of Not Choosing a green tiles before simplest form is 9/15

GCD - 3

Divide both the numerator and denominator by the GCD

9 ÷ 3/15 ÷ 3

Reduced fraction = 3/5

Therefore, the probability of Not choosing a green tiles is 3/5

~Lenvy~

if you answer this question you will get 30 points

Answers

Answer:

2 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

1+1 is 2

In 1994, the moose population in a park was measured to be 4180. By 1999, the population was measured again to be 3480. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t, the years since 1990. P(t)=? What does your model predict the moose population to be in 2002?​

Answers

"If the population continues to change linearly", meaning the pattern or equation is the equation of a straight line.

[tex](\stackrel{x_1}{1994}~,~\stackrel{y_1}{4180})\qquad (\stackrel{x_2}{1999}~,~\stackrel{y_2}{3480}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3480}-\stackrel{y1}{4180}}}{\underset{run} {\underset{x_2}{1999}-\underset{x_1}{1994}}}\implies \cfrac{-700}{5}\implies -140[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4180}=\stackrel{m}{-140}(x-\stackrel{x_1}{1994}) \\\\\\ y-4180 = -140x + 279160 \\\\\\ y = -140x+283340~\hfill \boxed{P(t)=-140t+283340}[/tex]

what if t = 2002?

[tex]P(2002)=-140(2002)+283340\implies P(2002)= 3060[/tex]

Solve for d
Can you pls help me?

Answers

the answer to this question would be 3d-2=31 and d=11

PU
The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619. $379. $895, $1,256, $1,052

b. What is the median of the second half of the data? (third quartile) 379
T

Answers

Using the median concept, it is found that the third quartile is of is of $1,052.

What is the median of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

The first half is: $379, $498, $619.The second half is: $895, $1,052, $1,256.

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

Are the ratios 5:4 and 20:16 equivalent?

Answers

Answer:

yes

Step-by-step explanation:

If you take 20 and divide by 4 you get 5. if you take 16 and also divide by 4, you will get 4.

An amount of R351 is made up with 114 coins (R2 coins and R5 coins only). How many R2 coins are there? How many R5 coin are there?​

Answers

Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

Urgente!!! Doy 20 puntos

Answers

Answer:

74-7, 0, +9

Step-by-step explanation:

Hope this helps

Dylan purchased a new car in 1993 for $26,300. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $2,700 in the year 2001, then what would be the predicted value of the car in the year 2006, to the nearest dollar?

Answers

The predicted value of the car in the year 2006 to the nearest dollar would be  $651.

What is the predicted value of the car?

The first step is to determine the rate of depreciation

g = (FV/PV)^(1/n) - 1

Where:

FV = value of the car in 2001

PV = value of the car in 1993

n = number ofyears = 8

(2700/26,300)^(1/8) - 1  = -24.76%

Now determine the value of the car in 2006

2700x ( 1 - 0.2476)^5 = $651

To learn more about depreciation, please check: https://brainly.com/question/25552427

Solve (images attached) can u check if correct

Answers

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

8 out of 9 people in a class of 360 people are right handed, what is the percentage or right handed people and left. Then how many people out of the class of 360 is left and right handed.

Answers

Answer:

88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.

Step-by-step explanation:

The fraction 8/9 is equal to .88889, or 88.889%

Likewise, the fraction 1/9  (remainder) is equal to .11111, or 11.111%

By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:

360*8/9 = 320 people right handed.

360*1/9 = 40 people left handed.

Cheers!

Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.

Answers

Answer:

1/3

Step-by-step explanation:

Factors of 18 are 1,2,3,6,9

How many more quarters does
Tommy need before he has $3.00
in quarters?


Answers

Tommy needs 3 more quarters to have a total of $3.00

It’s from khan academy

B=10 H=8

Find the area of the parallelogram
Use the slider to help you remember the formula

Answers

Answer:

80

Step-by-step explanation:

area of parallelogram is b(vh)


The researcher had to throw out some surveys because the
participants didn't complete them in full. What happened
to the power? Why?

Answers

He couldn’t use them because they weren’t finished-

Becky is jumping on a trampoline. As he lands on the trampoline, his momentum carries him 2 feet below the trampoline, and he returns 0.4 seconds later to flat. What would be the a-value for this quadratic? Show work if possible

Answers

Answer:

becky got 2.4 lands and a quadratic is a possible

Step-by-step explanation:

2times 0.4 = 2.4

The side of a goal in soccer is the shape of a right trapezoid. The dimensions are shown below. What is the area of the net needed for both sides of the goal? Чft 8 ft 10 ft​

Answers

Answer:

[tex]61^{2}[/tex]

Step-by-step explanation:

So area equals {(B+b) x h} / 2 the two bases are 4 and 10 which is 14 the height is 8 so 14 times 8 is 112. 112 divided by 2 is 61.  I hope this helps.

Find the distance between Q and R

Answers

Answer:

Step-by-step explanation:

For f(x) = 2x+1 and g(x) = y2 - 7, find (f+ g)(x).

Answers

Answer:

D

Step-by-step explanation:

When you look for (f+g)(x), we are in essence say that we're looking for f(x)+g(x)

=(2x+1)+(x^2-7).        (substitute for f(x) and g(x))

=2x+1+x^2-7.            (remove the brackets by substituting positive 1 into g(x))

=2x+x^2-6                (add like terms- in this case 1-7=6)

=x^2+2x-6                 (rearrange the equation)

You invested $8,307 into stocks of a company that were priced at $12.75/sh. You decide to sell the stock. What is the sale amount if the stock is selling at $11.95/sh?

Answers

8307 divided by 12.75 is about 651.53
651.53 x 11.95 is about $7785.78

please solve for x please use statement reason

Answers

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

This is a spinner for a game board. color the spinner to show 20% chance of black and 80% chance of red.

Answers

Answer:

Step-by-step explanation:

Divide the circle into 10 parts and color 2 parts black and 8 parts red.

how many integers from 100 to 999, inclusive, don't include the numbers 2,4,6,8? PLS HELP I WILL MARK BRAINLIEST

Answers

Answer:

243

Step-by-step explanation:

999-100= 899 integers

200s 400s 600s 800s excluded so 400 numbers excluded

899 - 400 = 499

20s 40s 60s 80s which are 40 integers x 4 = 160

499 - 160 = 339

2s 4s 6s 8s which are 4 integers x 6 x 4 ( 4 from each 100 ) = 96

339 - 96 = 243 integers

Please help!! I will give brainliest :)

Answers

Answer: I think its 75 percent

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The shaded is part of the poster 9/12

To convert 9/12 into a percent

100 ÷ 12 = 8.3333333333333

[tex]\frac{9*8.3333333333}{12*8.3333333333} = \frac{75}{100}[/tex]

A passport consists of 2 letters followed by 2 digits. How many different passports can be formed?

Answers

67,600 different passwords can be formed.

26 x 26 x 10 x 10 = 67,600 (26 letters in the alphabet and 10 from 0-9)

40 feet in one hour = what speed in inches per second ​

Answers

Answer:

1728000

Step-by-step explanation:

40 feet is 480, then convert hour tom minute (times 60) then times 60 again to convert minute to second (times 60)

Hope this helps!

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