Lucy has a budget for school stationery of 33, but has already spent 22.47 on books and folders. Let p represent the amount that Lucy can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Answers

Answer 1

Answer:

The inequality is;

p≤ 10.53

where 10.53 is the highest value she can spend on other stationery

Step-by-step explanation:

Here, we want to write an inequality

The amount she has to spend is 33

This means she can spend less than or equal to this amount

she has spent 22.47 and still has p to spend

Mathematically;

p + 22.47 ≤ 33

p ≤ 33-22.47

p ≤ 10.53


Related Questions

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .

Answers

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

 

 

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Combine like terms (x):                    12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y):                    12x + 3y + 6 - 4 + 1Combine like terms (Z):                    12x + 3y + 3

Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?

Answers

The answer is 6.
1/4 goes into 1 1/2 6 times. :)

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

Can somebody help me with this question, my brain has evaporated.

Answers

Answer:

9.42m

Step-by-step explanation:

You have to find the circumference using C=2πR. We know that the radius =4 meters so then we can insert it into the formula to get the circumference which equals 8π. Then we divide 24m² by 8πm and get 9.42m.

Amelia is making a cookie recipe that requires 4 cups of sugar for every 12 cups of flour. Amelia only has 9 cups of flour. She concludes that she will only need 3 cups of sugar Is Amelia correct? Why or why not?

A Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12.

B Amelia is correct. One-quarter the amount of sugar is needed because only one-quarter of the recipe will be made.

C Amelia is incorrect. The number of cups of sugar must be reduced by 3 because the number of cups of flour is reduced by 3.

D Amelia is incorrect. She needs 4 cups of sugar because decreasing the number of cups of flour by 3 requires increasing the number of cups of sugar by 3.​

Answers

Answer:

B

Step-by-step explanation:

Because if you will divide the ratio 4:12 by three- we will get a ratio 1:3. Then we need the last 3 in the ratio 1:3 become a 9. For this we need to multiply it by 3= 1:3 *3= 3:9. This is only 3/4 of whole of recipe.

Answer: Choice A)

Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12

=======================================================

Explanation:

It might help to think of the ratio 4:12 as the fraction 4/12. Dividing both parts by 4 leads to 1/3.

Similarly, the ratio 3:9 becomes 3/9 which reduces to 1/3.

This shows that 4/12 = 3/9, so the ratios 4:12 and 3:9 are the same.

------------

Another way to show two fractions are equal is to do the steps below

4/12 = 3/9

4*9 = 12*3 ... cross multiply

36 = 36

Since the last equation is true, the first equation must be true.

-------------

Here's another way to see Amelia is correct.

So we know that 4 cups of sugar go with 12 cups of flour. This forms the fraction 4/12.

We also know that she has 9 cups of flour. Let's say we don't know how much sugar she needs, so we'll call this x. We have x cups of sugar go with 9 cups of flour. This forms the fraction x/9.

Equate the two fractions and solve for x

4/12 = x/9

9*4 = 12*x ... cross multiply

36 = 12x

12x = 36

x = 36/12 ... divide both sides by 12

x = 3

She needs 3 cups of sugar

The steps in this section are very similar to the steps in the last section.

Diane will spend more than $31 on gifts. So far, she has spent $18. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Diane will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

13

Step-by-step explanation:

31-18=13

75 POINTS AND BRAINLIEST IF ITS CORRECT!!!

Answers

Answer: The first and last table.

As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.

Tables 1 and 5 are equal.

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

I                 -0.5

2               -0.5

3               -0.5

4                 1

5                -0.5

Table 4 is eliminated now.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

Hope this helps... Stay safe and have a great day/night!!! :D

с
16 km
12 km
Figure not drawn to scale
C =
Kilometers

Answers

Step-by-step explanation:

[tex](16)^{2} + (12)^{2} = 400 \\ \sqrt{400} \: = 20km[/tex]

6.01 as a improper fraction

Answers

Answer:

601/100

Step-by-step explanation:

which slopes could be the slopes of perpendicular lines?

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

Answer:

0 and undefined

Step-by-step explanation:

Find the slope of the line passing through the points (-7, 8) and (5.-7).

Answers

Answer:

slope is 15/-12

Step-by-step explanation:

:)

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.

x+ y= 24

3.50x + 5.00y = 97.50

Solve the system of equations. How many 10 oz. boxes were sold?

6
9
12
15

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Points A' and B' are the images of points A and B after a 270 rotation about the origin. If the slope of line segment AB is -3, what is the slope of line segment A'B'? Put your answer in simplified fraction form with no spaces.

Answers

The slope of the line segment AB will change from -3 to 1/3 after a 270 degree rotation of the line segment

How to determine the slope of line segment A'B'

information gotten from the question include

Points A' and B' are the images of points A and B after a 270 rotation

the slope of line segment AB is -3

Rotation is one of the movements that is under transformation it involves a movement about an axis.

With respect to the problem here, the axis of the rotation is the origin of the coordinates

The rotation will lead to formation of an image A'B' which is perpendicular to the preimage

The relationship between two slopes that are perpendicular to each other is

slope of line, m = -1/slope of the perpendicular line, m'

m' = -1/m

m' = -1/3

Learn more about slope of perpendicular line

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I WILL PUT MANY POINTS ANSWER PROPERLY OR ELSE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Zoe took a total of 28 quizzes over the course of 4 weeks. After attending 6 weeks of school this quarter, how many quizzes will Zoe have taken in total? Assume the relationship is directly proportional.

? quizzes
I HAVE MORE QUESTIONS SO DONT ANSWER AND LEAVE

Answers

Answer:

42

Step-by-step explanation:

What is the relationship between two coplanar lines that are perpendicular to the same line?

Answers

Answer:

If two lines are perpendicular to the same line, then the two lines are parallel, and if two lines are parallel, then their slopes are equal

Step-by-step explanation:

Answer:

I'm sorry for this but I'll help you if you help me?

You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.

Answers

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

You are buying a t-shirts for the math club members. The t-shirt company will charge you according to the amount of shirts you buy, where c(x) is the total cost and x, is the number of shirts. If you buy 10 or less shirts it cost 12 dollars per shirt, if between 11 and 50 it will cost 10 dollars per shirt, then if you buy more then 50 it will cost 8 dollars per shirt. What is your equation if you buy 9 shirts. *

Answers

Answer:

honestly I just need likes on this sorry i couldn't help.

Step-by-step explanation:

a line passes through the point (-1,5) and the point (3,5), what is the equation of the line?​

Answers

Answer:

8

Step-by-step explanation:

took the test

have a nice day

mark brainlist plzzzzz

Choose the graph of this equation

Answers

Choose the graph that is already with the point
What do you mean? Where is the equation?

A line with a slope of -7 passes through the points (-8, 7) and (-7, k). What is the value of
K?

Answers

Answer:

k = 0

Step-by-step explanation:

On the graph, the second point would be at (-7,0)

Answer:

k = 0

Step-by-step explanation:

We can find the answer to this question by using the slope equation:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's define some variables:

[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]

We know the slope is -7 so we can put k-7 equal to it and solve

[tex]k-7 = -7\\k = 0[/tex]

We find that k is equal to 0.

I hope this helps!!

- Kay :)

Someone please help i can’t find the answer.

Answers

Answer:

f(3) = 4

Step-by-step explanation:

Give x = 3 in the interval x ≥ 1 then f(x) = x + 1 , and

f(3) = 3 + 1 = 4

mary is 5 feet and 7 inches tall how tall is mary in inches?

Answers

Mary is 67 inches, hope this helps.
67 inches tall that’s the right answer

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

∠E

Step-by-step explanation:

∠E is between PE and EN

In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?

Answers

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

Learn more about the properties of a kite here:

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Henry sells rings for $8 each. His expenses are $2.00 per ring, plus$90 for supplies. How many rings does he need to sell for his revenue to equal his expenses?

Answers

Answer:

12

Step-by-step explanation:

Answer:

yooooo lamarr over here cheating

Step-by-step explanation:

I dont know what I'm doin​

Answers

Answer:

60 minutes

Step-by-step explanation:

i think its 60 mins, can u mark me as brainliest?

Which ordered pair is a solution of the equation?
y= 8x + 3
WChoose 1 answer:
А
Only (1, 11)
B
Only (-1,-5)
Both (1, 11) and (-1,-5)
Neither

Answers

Step-by-step explanation:

both (1,11)and (_1,_5)

What best describes the relationship between line 6x - 2y = 1 and the line x + 3y = 12?
is it parallel, perpendicular, or neither?

Answers

It is parallel I hope this helps

Both the lines are perpendicular lines.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Now,

Since, The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Hence, Find the slopes of the lines as;

⇒ 6x - 2y = 1

⇒ 2y = 6x - 1

⇒ y = 3x - 1/2

⇒ m₁ = dy/dx = 3

And, From second line,

⇒ x + 3y = 12.

⇒ 3y = - x + 12

⇒ y = - 1/3x + 4

⇒ m₂ = dy/dx = - 1/3

Clearly, We get;

⇒ m₁ m₂ = 3 × - 1/3

             = - 1

Thus, Both the lines are perpendicular lines.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Can you answer this question​

Answers

Answer:

5/6= 0.83333333333

4/15= 0.266666666

3/5= 0.6

1 &3/4 = 1.75

1/3= 0.33333333

4/1000= 0.004

so the ones that are repeating decimals are:

5/6 , 4/15, and 1/3

Step-by-step explanation:

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $53,150. The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $24.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

12x +53,150 = 24.5x (production cost = revenue )

53,150 = 12.5x (subtract 12x from both sides and then divide 53,150 by 12.5)

x= 4,252 books

Step-by-step explanation:

1/8 + c = 4/5

what is c

Answers

Answer:

27/40

Step-by-step explanation:

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