At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs

Answers

Answer 1

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

Answer 2

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702


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Step by step answer:


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Step-by-step explanation:

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If A and B are two points on a circle such that m of arc (AB) = 260°. A possible value for the
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a) Which of the shapes is a heptagon?
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Answers

Answer:

[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]P = -4[/tex] --- missing from the question

[tex]Distance = 6\frac{1}{2}[/tex]

Required

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The distance can be calculated using absolute function as:

[tex]Distance = |Q - P|[/tex]

Substitute values for distance and P

[tex]6\frac{1}{2} = |Q - (-4)|[/tex]

[tex]6\frac{1}{2} = |Q +4|[/tex]

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Make Q the subject in both cases:

[tex]Q = 6\frac{1}{2} - 4[/tex] or [tex]Q = -4 - 6\frac{1}{2}[/tex]

[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]

The daily simple interest rate for a credit card is 0.059%. What is the simple interest for 30
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Answers

Answer:

£84.075

Step-by-step explanation:

4750 x 0.059% = 2.8025

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Answer:

Como así?

Step-by-step explanation:

which system of equations graphed below has a solution of (2,1)​

Answers

Answer:

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Step-by-step explanation:

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HELP PLS ILL GET FINES AND HELD BACK AND IM POR

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Answer:

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Step-by-step explanation:

Beacause 3x2 equal 6 you do not multiply the dinominator

The answer was c
Put a 1 under the whole so they both have denominater

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Answer:

Step-by-step explanation:

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Increase £19060 by 9%

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=  £20,775.4

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

???

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Find the geometric mean between 4 and 6. (Always simplify the radical completely.)

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Answer:

Use the formula to find the geometric mean.

4

6

Multiply

4

by

6

.

24

Rewrite

24

as

2

2

6

.

Tap for more steps...

2

2

6

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2

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Approximate the result.

4.89897948

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4.9

I NEED HELP ASAPPP
Part A
() For the following figure, the value of zis
HU
45
T
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
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A 16 in.
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42 in

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Answer:

sinB=p/h

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[tex]38.5 = 5.50p[/tex]

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Allison ordered 7 pictures.

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Answers

Answer:

Karla's 15 miles per week to Brad's 17 miles per week.

Step-by-step explanation:

First, we would need find the total number of miles each individual rides per week. We do this by dividing the total miles ridden by the number of weeks it took for each individual like so...

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Answer:

Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

The length and width of a rectangle are shown below.
50 X
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It’s 2x7x6x5 that I hat it is

The expression -2x² + 90x +500 represents the area of the rectangle if the length and width of the rectangle are (50 - x) and (2x + 10) option (c) is correct.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Area of rectangle = (50 - x)(2x+10)

[tex]\rm -2x^2+90x+500[/tex]

Thus, the expression -2x² + 90x +500 represents the area of the rectangle if the length and width of the rectangle are (50 - x) and (2x + 10) option (c) is correct.

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It would be A

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Answer:

Step-by-step explanation:

The sum of the sequence is the average of first and last terms times the number of terms.

(3n+4) for 3rd and 7th terms and the number of terms is 7-3+1=5 so

(13+25)5/2

38(5/2)

19(5)

95

Can you help me answer this in 2 minutes please
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Answers

Answer:

p = -48

Step-by-step explanation:

it’sannoyingtoexplainnn

Answer:

-48

Step-by-step explanation:

To get P, take - 16 over the equality sign and it becomes a positive 16. Then we have - 64 + 16 =P

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please help !!!
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Answers

The answer is 34300

Can Someone help me to answer the question

Answers

Answer: X = -4

Step-by-step explanation:

90 - 5x + 62 -2x = 180

152 - 7x = 180

-7x = 28

x = -4

Check your answer by pluging in the vaule of x

90 - 5(-4)

90 + 20 = 110

62 - 2(-4)

62 + 8 = 70

110 + 70 = 180

Checks out.

Answer: 110 degrees and 70 degrees

Step-by-step explanation:

These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180

Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180

Subtract 152 from both sides of the equation.

-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70

We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180

1/2(5x−8)=21 solve for x and brainliest

Answers

Answer:

x=10

Step-by-step explanation:

see picture for explanation

>
Find the next three values in the sequence,
-64,-32,-16,-8...

Answers

Answer:

-4, -2, -1

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

geometric sequence with common ratio = 1/2

a₅ = a₄(1/2) = -4

a₆ = a₅(1/2) = -2

a₇ = a₆(1/2) = -1

Find the 6th term 9 18 36

Answers

Answer:

I think the answer is 288.

Step-by-step explanation:

The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.

hope this helps :D

Answer:

Step-by-step explanation:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]

I need this answer ASAP

Answers

Answer:

B) 40

Step-by-step explanation:

2:10    2 out of 10

40:200      40 out of 200

When taking notes from a book, story, or other selection the source should be?
A. simple
B. dependable
C. easy to copy

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. dependable

Step-by-step explanation:

well good luck

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