Monica goes to a stationery shop to buy pens and pencils. She has $35 in pocket change, and she's looking to buy pens for $7 each and pencils for $2 each.
Write an inequality to describe the possible number of pens and pencils that Monica can buy. If Monica buys 3 pens, what is the maximum number of pencils she
can buy?

Answers

Answer 1

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7


Related Questions

The population of a certain animal species decreases at a rate of 3% per year. You have counted 80 of the animals in the habitat you are studying. Write a function that models the change in the animal population.


A: f(x) = 80(3)^x

B: f(x) = 80(.03)^x

C: f(x) = 80(.97)^x

D: f(x) = 80(1.03)^x

Answers

Answer:

C.  f(x) = 80(.97)^x

Step-by-step explanation:

If the population decreases by 3% each year, then it would be the same as multiplying it by 97% or 0.97 each year.

HELP ME W/ MY HW

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz

Answers

Answer:

7238.23

Step-by-step explanation:

452.16
fórmula: a= (3.14)(12x12)

The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot

Answers

Answer:

16 bicycles

Step-by-step explanation:

can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest

Answers

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.

I hope this helps :)

Please qwnser correctly! I will mark you Brainleist

Answers

Answer:

the answer is 484

Step-by-step explanation:

volume of the pyramid = (11×11×12) ÷3 =484

Answer:

the answer would be 385

Step-by-step explanation:

just listen to this because I did this last year.

11 by 11 is 121

11 by 12 is 132

you can multiply by two and get all 4 triangles done and the answer would be 385

Matt is bringing 0.4 of a cake to school. What fraction of the cake is he bringing?

Answers

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

1. What units cannot be used to measure weight?
A. ton
O B. inch
O C. pound
D. ounce

Answers

Answer:

B. Inches

Step-by-step explanation:

Because it measures the length of something, Not the weight.

Answer:

C

Step-by-step explanation:

weight in the USA is usually measured in LBS (pounds)

Someone help me pls

Answers

Answer:

550 mins

Step-by-step explanation:

Answer:

Step-by-step explanation: can you zoom that picture in cant see it

Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???

Answers

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

17 is 12.5% of what number?

Answers

Answer:

Multiply 17 by 100 / 12.5 to get the answer

Plzz help will mark brainliest don't do it for the points plzz!!!!

Answers

Answer: y=2x

Step-by-step explanation:

Answer:

The second choice has the largest rate of change by 3

Step-by-step explanation:

you find the slopes of all of them.

# 1 has a slope of 2

# 2.   [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]  = [tex]\frac{12 - 6}{3 - 1}[/tex] = [tex]\frac{6}{2}[/tex] = 3

# 3. has a slope of -5

# 4. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{2.5 - 3}{1 - 0}[/tex] = [tex]\frac{-0.5}{1}[/tex]= -0.5

Can someone please help me with this!?!?!

Answers

They are congruent because of the angles, which means the congruency reason should be SAS.

2. The dimensions of a rectangle can be given by x + 7 and x + 2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?​

Answers

Answer:

(x+7)(x+2) = 66

x^2+9x+14=66

x^2 + 9x -52 = 0

(x+13)(x-4) = 0

x = 4 bc the other root, -13, can't be used (it would make the dimensions negative values)

write a quadratic function in the given form whose graph satisfies the given condition.

has a vertex of (5, -2) & passes through the point (3, 6) in vertex form

pls help...important...dont steal

Answers

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

The function shown the the graph is f(x) =

Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6

pls help asap,,

Answers

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

The black line is the graph of y=x. Which of these equations could represent the blue line?
A. y=2x
B.y= -x
C. y = 1/2x
D. 0.001x

Answers

I believe the answer you’re looking for a C step-by-step explosion : hope this helps :)

Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?

Answers

Answer:

Step-by-step explanation:

-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)

Answers

The answer is 19v - 34w

Some students reported how many pairs of shoes they have. The dot plot shows the data collected: A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5. What do the dots above the number 4 indicate? (3 points) a There are exactly 3 students with less than 4 pairs of shoes. b There are exactly 4 students with less than 3 pairs of shoes. c There are exactly 4 students with 3 pairs of shoes. d There are exactly 3 students with 4 pairs of shoes.

Answers

Answer:

There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

Given

[tex]Pairs \to Dots[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 3[/tex]

[tex]3 \to 5[/tex]

[tex]4 \to 3[/tex]

[tex]5 \to 1[/tex]

Required

What does the 3 on 4 represents?

First, we plot the dot plot.

See attachment for plot

The dots represent the number of student

So 3 dots on 4 means that:

[tex]Students \to 3[/tex]

[tex]Pairs \to 4[/tex]

This implies that there are 3 students have exactly 4 pairs

Answer:

D) There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.

At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.

Hope I helped!!

If you add​ Natalie's age and​ Fred's age, the result is 41. If you add​ Fred's age to 3 times​ Natalie's age, the result is 71. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer:

Fred's age: 26    Natalie's age: 15

Step-by-step explanation:

    F + N = 41

-)  F + 3N = 71

____________

=> -2N = -30

=> N = 15

F + 15 = 41 => F = 26

PLZZZZZ HELP ME
Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen? 16/663 5/169 06/13 20/663 ​

Answers

Answer:

I would say 16/663 but I still have a suspicion it may be 20/663

Step-by-step explanation:

Answer:

20/633

Step-by-step explanation:

The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.

Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.

Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663

12 cans of Pepsi cost $5.99 Find the unit price of each can. Round your
answer to the nearest hundredth's place.

Answers

divide 5.99 by 12
0.499
rounded = 0.50
unit price is $0.5 per can

Answer:

0.50

Step-by-step explanation:

Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)

A plant measured x inches tall last week and 8 inches tall this week.

Select the expression that represents the number of inches the plant grew this week.
(a) x-8
(b) 8-x

Explain how you know.

Answers

Answer:

8-x

Step-by-step explanation:

just like you are 20m tall last month and then 30 m tall this week

you grew 10 m additional

which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12​

Answers

the last one: x^2 + 8x + 12

If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?

Answers

Answer:

Percentage decrease is 93‰

Carlos is tossing a quarter. What is the probability he will toss heads?

Question 9 options:

0.5


0.75


0.85


0.25

Answers

The probability would be 0.5

The cone has a volume of 72 cubic centimeters and a height of 6 centimeters.
What is the radius of the base of the cone, in centimeters?

Answers

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

270/9 3/4 +40*(15-5)

Answers

Step-by-step explanation:

[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]

Help answer correctly or you'll get hack

Answers

1) -15
2)21
3)-49
4) 39
5)89

Answer:

1 ) - 15

2 ) 21

3 ) 49

4 ) 39

5 ) 89

Step-by-step explanation:

1 )

( - 8 ) + ( - 7 )

= - 8 - 7

= - 15

2 )

( + 12 ) + ( + 9 )

= 12 + 9

= 21

3 )

( - 43 ) + ( - 6 )

= - 43 - 6

= - 49

4 )

( + 23 ) + ( + 16 )

= 23 + 16

= 39

5 )

( + 73 ) + ( + 16 )

= 73 + 16

= 89

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