Allison's cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more
cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and
cookies (b) that she should buy? (a > 0,b> )

Answers

Answer 1

Answer:a+b ≥40

5+a≤ b

2.50a+1.50b≤ 105

i believe

Step-by-step explanation:

The equations would be:

a+b ≥40 (cupcakes +cookies must be at least 40 total)

5+a≤ b

(At most 5 more cupcakes then cookies)

2.50a+1.50b≤ 105

(The cost of cookies and cupcakes must be less than $105)


Related Questions

Solve the inequality 30 > 6( 2/3z+1/3)

Answers

Answer:

z < 7

Step-by-step explanation:

30 > 6( 2/3z+1/3)30 > 6(2/3z) + 6(1/3)30 > 4z + 228 > 4z28/4 > z7 > zz < 7

Need help ASAP! Anyone know?

Answers

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81

Answers

Answer:16/243

Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.

A circle has circumference 200 pi feet.
What is the radius of the circle?

Answers

Answer: The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius. If you are given the circumference but not the radius or the diameter, you can still solve for one or the other using these formulas.

Step-by-step explanation:

The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. The circumference of the circle will be

C = 2πr units

The circumference of the circle is given as 200π feet. Then the radius of the circle is given as,

200π = 2πr

Simplify the equation, then the value of the variable 'r' will be given as,

200π = 2πr

r = 100 feet

The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

is 85 a composite number and why

Answers

Answer It is composite number

Step-by-step explanation:

A composite number is a number that can be divided evenly by more numbers than 1 and itself. ... Since 85 cannot be divided by just 1 and 85, it is a composite number.

Hey there! :)

85 is composite.

All numbers that have more than 3 factors are composite numbers because they are 'composed' of some smaller numbers.

Hope this helps!

~Just a felicitous gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

On May 17, 1954, the United State Supreme Court decided a case that changed the course of American history. On this day in 1954, in the case of Brown v. Board of Education, the Supreme Court ruled that racial segregation of schools was unconstitutional.

Answers

Answer:

16x - 7

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

4x - 7 + 12x

Step 2: Simplify

Combine like terms (x):          16x - 7

And we have our final answer!

78 students are separated into groups of 8 for a field trip.how many groups are there.the remaining students form a smaller group of how many students

Answers

Answer:

9 groups with 6 extra students

Step-by-step explanation:

78/8= 9 .75

we take the whole number =9

8*9=72

78-72=6

6 extra students

Find the surface area of the two following figures. Show all your work.

Answers

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!!!

Answers

Answer:

x(x-8)(x+8) is final factored form.

Step-by-step explanation:

brainliest if i am right? uwu

If 12 > -15, which of the following must be true?

12 is to the left of -15 on a number line.
-15 is to the right of 0 on a number line.
12 is to the right of -15 on a number line.
12 is to the left of 0 on a number line.

Answers

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

Hope this helps! - CJ

What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
O x = -4
0 x = -3
Ox=-1/6
0 x = 6

Answers

To Find :

The equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)

Solution :

Let, equation of line perpendicular to given line is y = m     ....1)

Here, m is a constant.

Putting y = -3 in above equation, we get :

-3 = m

Putting value of m in equation 1), we get :

y = -3

Therefore, correct option is b)  x = -3.

Devaughn is 10 years younger than Sydney. The sum of their ages is 74. What is Sydney's age? yearsold

Answers

Step-by-step explanation:

x = devaughn age

y = sydney age

x = y - 9

x + y = 61

y-9 + y = 61

2y= 61+9

2y = 70

y = 35

x = 35 - 9 = 26

check

35 + 26 = 61

35- 26 = 9

Hope this helps!

Bro can somebody plz just help me answer this question!

Answers

Answer:  I think it's 17 but I'm not 100%

Step-by-step explanation:

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction

When she checked the answer by estimating, it did not make sense. What error did Wen make?
Wen incorrectly converted a mixed number to an improper fraction.
Wen added the numerators and denominators instead of multiplying.
Wen did not take the reciprocal of the divisor.
Wen did not change the division problem to multiplication.

Answers

Answer:

Wen did not take the reciprocal of the divisor.Step-by-step explanation I hope this helps.

Answer:

it is the 3rd answer

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

Answers

Answer:

0.75 inches of snow

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

12 hours = 9 inches of snow

1 hour = x

Cross Multiply

12 hours × x = 1 hour × 9 inches

x = 9/12

x = 0.75 inches

Therefore, 0.75 inches of snow fell at each hour.

slope intercept form.Please help!!!!

Answers

Answer:

sfsfsfsfsfsfsfsfsfsfsfssfsfsfasfsfsfsfsfsf

Step-by-step explanation:

The correct answer is y=-3x+4

HELP! What is the solution to the following system of equations?

Answers

Answer:

it is 2,4

Step-by-step explanation:

The point that they meet is 2,4 . It means X+ is 2 and Y+ is 4 .

You can write a as their meet point . you should answer like this a(2,4) .

Parallelogram PQRS is shown.measure of angle s=(3x),measure of angle R=120, and measure of angle Q=(2y) find the value of X

Answers

Parallelograms have adjacent angles supplementary (sum to 180).

For pair r and s,

3x+120=180, => x=(180-120)/3=20 &deg;

Similarly, for pair q and r,

2y+120=180 => y=(180-120)/2 = 30 &deg;

Practice elimination by solving the following systems​᠎​​᠎​
-7x-8y=9
-4x+9y=-22

Answers

Answer:

multiply the first equation by 4

and second by 7 then just subtract second from first

50% of the fruits collected were ripe. If 100 fruits were ripe, find the total number of fruits collected.

Answers

Answer:

200 fruits

Step-by-step explanation:

The questions states that 50% of the fruits were ripe, and that 100 fruits were ripe

Therefore: 100 = 50%

Which makes the total amount of fruits 200

Don't believe me? Reverse work:

200 / 2 = 100

200 = 100%, 100 = 50%

Three friends bought 4, 6, and 8 books.

This table shows the cost of the books.
Number of Books 4 6 8
Cost ($) 30 45 60

What is the constant of proportionality?

A. 2
B. 7.5
C. 15
D. 30

Answers

Answer:

B:7.5

Step-by-step explanation:

since 4 goes with 30, 6 goes with 45, and 8 goes with 60, you can see that 60-45 is 15 and 45-30 is 15 as well so the constant is 15, but the number of books is going up by two so the constant there is 2. So divide 15 by 2 and the answer would be C: 7.5.

Answer:

B. 7.5

Step-by-step explanation:

I just took the test on k-12 and it was correct.

Nathan walked 10/10 of a mile and sarah walked 19/20 of a mile.who walked a greater distance?

Answers

nathan walked a greater distance, when you compare the fractions with a common denominator, Sarah only walks 9/10 of a mile.

Answer:

Nathan

Step-by-step explanation:

Bobbie and Adam each own 35% of partnership BAB. On October 15, 2018, Bobbie sells her interest to Bob, who is a 30% partner. On October 16, 2019, Adam sells his interest to Bob. When does the partnership terminate?

Answers

Answer:

Step-by-step explanation:

Such partnerships only terminate when one of the partners sells his entire share which makes him no longer a partner in the company, but there may still be another partnership in the company. The other way all partnerships in the company terminate is when a single party/partner gains control of the entire companies' shares meaning they are 100% owner of the company and no other individual has any controlling interest in the company.

A truck delivers 478 dozen eggs to stores in one day. Write and solve an equation to find n, the number of eggs the truck delivers in one day

Answers

478 x ? = N
478 x 12 = 5,736 eggs in one day

Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum of $55 this week. Write an inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours washing cars, w, that Savannah can work in a given week.

Answers

Answer: 12b+7w=$55

Step-by-step explanation:

Different nerve signals travel at different speeds. Pressure and touch signals travel about 250 feet per second. Dull pain signals travel about 2 feet per second. How long does it take you to feel an ant crawling on your foot? Write your answer in a sentence using context. How much longer does it take to feel a dull ache in your foot? Write your answer in a sentence using context.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Pressure and touch signal speed = 250 feets per Second

Dull pain signal speed = 2 feets per second

Ant crawling on foot

A crawling ant on one's feet can be attributed to a touch signal, hence it will take ;

Time = Distance / speed

(Distance moved by crawling ant / 250)

(Dull ache in foot) = 250 / 2 = 125

It takes 125 times longer to feel a dull ache in foot.

can someone help me​

Answers

i think it’s 23

132 + 2 = 134
180 - 134 = 46/2=23

Answer:

it's 342

Step-by-step explanation:

you have to use the solve the sum and add long numbers using the addition

A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is A'Reana's weekly allowance?

Answers

Given :

During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50.

To Find :

How much is Reana's weekly allowance.

Solution :

Let, allowance is x.

Then by given conditions :

37.50 = x - ( 10 + x/2 + 7.50 )

37.50 = x/2 - 17.50

x/2 = 55

x = $110

Therefore, Reana's weekly allowance is $110.

Hence, this is the required solution.

Solve for x: 8 ≥ 5 - 12x

Answers

Subtract
5
5 from both sides.
8

5


1
2
x
8−5≥−12x

2 Simplify
8

5
8−5 to
3
3.
3


1
2
x
3≥−12x

3 Divide both sides by

1
2
−12.

3
1
2

x

​12

​3
​​ ≤x

4 Simplify
3
1
2
​12

​3
​​ to
1
4
​4

​1
​​ .

1
4

x

​4

​1
​​ ≤x

5 Switch sides.
x


1
4
x≥−
​4

​1
​​

Done
Decimal Form: -0.25

CAN SOMEONE HELP WITH THIS HELP ME PUT IT IN ORDER

Answers

Answer:

A then B then C (smallest)

Step-by-step explanation:

Bigger side bigger angle across from it

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