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 ≥ 0 )

Answers

Answer 1

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105


Related Questions

Stacey is making pancakes. She has 2 quarts of milk. The recipe calls for 12 fluid ounces of milk. How many ounces of milk will she have after making the pancakes?​

Answers

Answer:

heir ht eit theeir t erehr ther eht ere there there hterh there jt there htererh there ht ereh the the the the the the thetthe they they they they they   tyh ththbey they theyetheir theitr te there ther there the there htere h

Step-by-step explanation:

4x5=20/// 20-12=8// 8+2=10 and there you go 10 is your answer

The amount of milk left after making the pancakes is 52 fluid ounces.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, Stacy has 2 quarts of milk.

Since there are 32 fluid ounces in one quart, it follows:

1 quart = 32 fluid ounces

2 quart = 64 fluid ounces

Therefore, Stacy has 64 fluid ounces of milk.

Now, she used 12 fluid ounces of milk in making pancakes, therefore, the amount of milk left after making the pancakes is:
64 - 12

= 52

Hence, the amount of milk left after making the pancakes is 52 fluid ounces.

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Which could you use to prove triangle AED is congruent to triangle CEB?

Answers

Answer:

Option (C)

Step-by-step explanation:

Given:

In right triangles ΔAED and CEB,

m∠AED = m∠CEB = 90°

DE ≅ BE

AD ≅ BC

To prove:

ΔAED ≅ ΔCEB

                    Statements                         Reasons

1). m∠AED = m∠BC = 90°              1). Given

2). DE = BE                                     2). Given

3). AD = BC                                    3). Given

4). ΔAED ≅ ΔCEB                          4). By HL theorem of congruence

Option (C) is the answer.

what is outcome dependent variable in the experiment?​

Answers

Answer: In experimental research, the independent variable is manipulated or changed by the experimenter to measure the effect of this change on the dependent variable. ... Your dependent variable is the outcome that you measure: the blood pressure of the patients.

Step-by-step explanation:

plsdyhdjdjdjdkxkxkxkzkkzkzkzososo​

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The gradient of graph is 2

Please help hurry I’ll mark brainliest!!!! It’s due hella soon

Answers

Answer:

17) 6 inches.

18) 4.22 miles repeating

Step-by-step explanation:

17) Since we know that the steel structure is 19.8 feet tall in real life, we can use the scale to find the size on the map. First we can convert 3.3 feet to inches. 3 feet to inches is 36 inches and .3 feet is 3.6 inches. This means that we can write the scale as 1 inch : 39.6 inches. Now, we can convert the 19.8 feet to inches. The answer is 237.6 inches. Next, we can divide 237.6 in. by 39.6 in. which is 6 inches. Now, we can multiply 1 inch by 6 inches to get 6 inches.

18) We can use the same method to solve this question. Note: the numbers will get big. 11.4 miles to inches is 722304 inches. We can now divide this number by 2.7 inches. This will give us 267520 inches. This is also 4.22 miles repeating.

I am not 100% sure about question 18 but I am sure about 17!!!

Hope this Helps!!! :)

First three common multiples of 4 5 and 10

Answers

20 40 60 these are the first three

Which expression is equivalent to y^3-2y^2+y

Answers

It might be C but I’m not sure about it.

If your heart beats 65 times in one minute,
How many times does it beat in one day?

Tips:
There are 60 minutes in one hour. There
Are 24 hours in a day

Answers

Answer:

93,600 times

Step-by-step explanation:

24x 60= 1445
in 1445 x 65 = 93,600
if your heart beats 65 times in 1445 minutes then it beats 93,600 in a day

Josie's Bagel Shop recently sold 3 poppy seed bagels and 3 other bagels. What is the experimental probability that the next bagel sold will be a poppy seed bagel? Simplify your answer and write it as a fraction or whole number, P(poppy seed bagel) Submit​

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Answer:

ffbhjdhjdfahdsfsdfakfawlefgwaheghfgawlygfailwegfalawegfuwlgweilfygweiyaglifwafawegwegerg

Step-by-step explanation:

Write an equivalent expression to 3^2/3 • 8√ 3^4

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Answer:

I do not know

Step-by-step explanation:

(2, 3) and (6, 8) m=

Answers

Answer: M = 5/4

Step-by-step explanation:

Answer:

I think m=5/4

Step-by-step explanation:

The length of a rectangular swimming pool is twice its width minus 3 meters. If x represents the width of the swimming pool in meters, which expression represents the length of the swimming pool in meters? A. 2x – 3 B. 2 + x – 3 C. D. 3x – 2

Answers

The answer is A. 2x - 3

Answer:

The answer is A

Step-by-step explanation:

30 students : 2 teachers
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Answers

Answer:

It’s a ratio

Step-by-step explanation:

Is that the whole question?

Write the equation of the line that is perpendicular to y=-4x+12 (-8,3)

Answers

hey...

y = 4x + 12

3 = 4x8 + 12

3= -32+12

3=-20

3= -20/3

it is the ans. hope it helps you

State the x-intercept of the function 6x−2y=18

Answers

Answer:

Step-by-step explanation:

6x

If the function f(x) = 4x+2 and g(x) = 5/2x-4 then which of the following is a false statement?


1) f(0) > g(0)

2) f(-4) = g(-4)

3) f(6) = g(12)

4) g(2) > f(2)

Answers

Answer:2

Step-by-step explanation:

The condition of the function g(2) > f(2) is incorrect. Then the false statement is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f(x) = 4x + 2 and g(x) = (5/2)x - 4.

The value of the function at x = 0, will be

f(0) = 4 × (0) + 2 = 2

g(0) = (5/2) × (0) - 4 = -4

The condition f(0) > g(0) is correct.

The value of the function at x = -4, will be

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g(-4) = (5/2) × (-4) - 4 = -14

The condition f(-4) = g(-4) is correct.

The value of the function f(x) at x = 6 and the value of the function g(x) at x = 12, will be , will be

f(6) = 4 × (6) + 2 = 26

g(12) = (5/2) × (12) - 4 = 26

The condition f(6) = g(12) is correct.

The value of the function at x = 2, will be

f(2) = 4 × (2) + 2 = 10

g(2) = (5/2) × (2) - 4 = 1

The condition g(2) > f(2) is incorrect.

Then the false statement is D.

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Which pair of angles must be supplementary? HURRYYYYY!

Answers

Answer:

1 and 3,  if im wrong i am sorry I have not don this in a long time

Step-by-step explanation:

Answer:

I can't read the numbers correctly but a supplementary angles are angle that equal 180*

Hope this helped a little :)

Step-by-step explanation:

Find the factors.
36
Find the factors.
48
Find the quotient.
0.5334 divided by 0.06
Find the quotient.
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Answers

Answer:

Step-by-step explanation:

36

=

 

48

=

0.5334

=

0.06

=

75.1

=

10

=

Find the time it takes for $9,200 to double when invested at an annual interest rate of 10%, compoun
continuously.
years
Find the time it takes for $920,000 to double when invested at an annual interest rate of 10%, compounded
continuously.
years

Answers

Answer:

years = natural log (total / principal) / rate

years = natural log (18,400 / 9,200) / 10

years = natural log (2) / 10

years = 0.69314718056 / 10

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and this would be the time for ANY amount of money to double.

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This is a right angle and the measure of a right angle is 90°

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Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for play. Each pair of wings is made with 3/4 yard of fabric. The fabric cost $8 dollars per yard. Yo apply properties of multiplication in the following steps to find the total cost of the fabric. 3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with write your answer in the space below

Answers

Answer:

It would cost $6 per butterfly wing, which multiplied by 13, gives 78.

Step-by-step explanation:

Treat 1 yard of fabric like the fraction 4/4, if this 1 fabric is equal to $8, then 3/4 of the fabric will be $6. That is for one pair of butterfly wings, there's 13 of those so multiply $6 by 13. It's easier this way because we know how much 1 fabric costs, but we don't know what 3/4 of it does, so we treat 1 yard of fabric as the fraction 4/4. This way we can simplify in a relatively easier way.

Answer:

he will need 9.75 yards of fabric i got that from 3/4 x 13= 9.75.

it will cost 78 dollars to buy all the fabric to make the wings. 6x13=78

instead of using 3/4 per butterfly wing we round it to 4/4 that way instead of having to find the price of 3/4 you get the answer and just take 2 dollars for every wing

Step-by-step explanation:

) In a class of 100 boys and 80 girls, 60% of boys and 60% of girls are members of the Honors Society. In a standardized test 75 boys and 65 girls in the class passed the test. Among those who passed the test 80% are members of the Honors Society. What percent of the nonmembers of the Honors Society passed the test (round it to the closest integer)?

Answers

Step-by-step explanation:

tfffgggggggfffffffffffrrrerrrrrrtttt

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Answers

Slope: (y2-y1)/(x2-x1)
(0,7) and (-4,7)
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Answer:

m=0

Step-by-step explanation:[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{(7-7)}{(-4-0)} \\m=\frac{0}{-4} \\m=0 \\[/tex]

Hi I need help with this question.
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Answers

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Answer:

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Step-by-step explanation:

6y = 16

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

The product is 31134942986701142516840643442546191966.

__

The 38-digit product would normally have to be done in segments on a regular calculator. A computer would have to store this as a quadruple-precision number (128 bits).

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