For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A. 1.4x + 0.75 y > 150B. 1.4x + 0.75y ≥ 150C. 1.4x + 0.75 < 150D. 1.4x + 0.75 ≤ 150

Answers

Answer 1

The group needs to sell at least 104 granola bars and any number of bottles of water in order to make a profit of at least $150.

The correct inequality is B. 1.4x + 0.75y ≥ 150. This inequality states that the group must sell at least $150 worth of items in order to make a profit. The cost of a granola bar is $1.40, and the cost of a bottle of water is $0.75. Therefore, the total cost of the items must be greater than or equal to $150. The formula for this inequality is 1.4x + 0.75y ≥ 150, where x represents the number of granola bars sold and y represents the number of bottles of water sold.

To solve this inequality, we can first multiply both sides of the inequality by 100. This will give us 140x + 75y ≥ 15000. Next, we can subtract 75y from both sides to get 140x ≥ 14250. Finally, we can divide both sides of the equation by 140 to get x ≥ 102.86. This means that the group needs to sell at least 103 granola bars in order to make a profit of at least $150. This can be further simplified by rounding up the granola bars sold to 104. Therefore, the group needs to sell at least 104 granola bars and any number of bottles of water in order to make a profit of at least $150.

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Related Questions

4x^2=20x
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Answer: look at the picture

Step-by-step explanation: Hope this help :D

1/2 x 1 3/5 to the simplest form

Answers

Answer:

4/5

Step-by-step explanation:

Convert 1 3/5 into improper fraction

1 3/5 -> 8/5

1/2x8/5= 8/10

8/10= 4/5

What is another vocabulary word for slope?

Answers

Answer:

Rise-Over-Run/ slant

Step-by-step explanation:

Use the information from the graphs to write the equation in y=ab*^x

Answers

Answer:

1). y = 4(1.75)ˣ

2). y = (2)ˣ

Step-by-step explanation:

1). Let the equation of the given exponential graph is,

y = a(b)ˣ

Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)

For point (0, 4),

4 = a(b)⁰

a = 4

For point (1, 7),

7 = 4(b)¹

b = [tex]\frac{7}{4}[/tex]

b = 1.75

Therefore, equation of the function is,

y = 4(1.75)ˣ

2). Similarly, equation of the second graph will be same in the form of

y = a(b)ˣ

Second graph passes through the points (0, 1) and (2, 4)

For (0, 1),

1 = a(b)⁰

a = 1

For (2, 4),

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y = 2ˣ

luisa is building a sand box in her backyard. she places four pieces of wood in a rectangle to form the frame. the rectangle is 4 feet long and 3 feet wide. how can she use a measuring tape to make sure that the corners of the frame will be right angles?

Answers

Answer:

As we know rectangles have 90 degree angles at all 4 of its corners.

In this question we know that the length is 4 feet while the bredth is 3 feet.

Therefore to solve this answer we can use the Pythagoras theorm.

By Pythagoras:

[tex]4^{2} + 3^{2} = diagonal^{2}[/tex]

Therefore the diagonal must be 5 feet

So if Luisa measures the diagonal with a tape and it measures 5

Then it proves that all 4 corners due have 90 degree angles

Please do mark my answer as brainliest. It would really help me answer more of such questions in the future :)

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Answers

Answer:

all angles must add up to 180 to be a trapizoid so if they dont add up then its irregular

Step-by-step explanation:

solve for x
2 + x^2 = 18​

Answers

Answer:

16

Step-by-step explanation:

Answer:

4 and -4

Step-by-step explanation:

To solve, just isolate x

2+x^2=18

subtract both sides of the equation by 2

x^2=16

find the square root of 16

(remember, no matter if a number is positive or negative, if it is squared, it automatically becomes positive)

to get:

x=4

and

x= -4

The polygons are similar. Find the value of x.

Answers

Answer:11

Step-by-step explanation:

12/x= 24/22

Cross multiplication
24x= 264
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Answers

Answer:No Matt's calculation is not correct.

Step-by-step explanation:

We have to multiply by the number of the area.If it is 4 inches we multiply by 4

15 x 4 =60

A=4 inches squared

A=LxW (length x width )

so you can say that:

Matt is incorrect because He skipped  the step of multiplying 2 by 2 in the formula which is where we get 4 from.

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Answers

Answer:

[tex]slope = 1 [/tex]

Step-by-step explanation:

We can see that the graph cuts the x axis at , (-1,0) and y axis at (0,1) . So we can find the slope as ,

[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{ 1-0}{0+1} \\\\\implies\boxed{\boxed{ slope = 1 }}[/tex]

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Answers

Answer:

10

Step-by-step explanation:

Answer: 10

Steps:
((hk - 4)/2) + 6 =
(-4*-3)-4/2) + 6 =
(12-4/2) + 6 =
(8/2) + 6 =
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b. 21.8°
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Answers

Measure of angle is 59.1

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Answers

Answer:

5n + 5a

Step-by-step explanation:

This would be your simplified algebra expression.

Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

0.005
0.015
0.245
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Answers

Answer:

0.245 because of him having the 75% chance of getting it and the test only being 98%

Step-by-step explanation:

its 0.245

Answer:

its 0.245

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

hope this helps

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A)
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translation 6 units right and 3 units up
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translation 6 units left and 3 units down

Answers

Answer:

Translation 6 units left and 3 units down

Step-by-step explanation:

Jon didn’t follow the order of operations. Explain what he did wrong.

Answers

If you show the question i can probably figure it out

Which choice is similar to the figure shown?

Please help I’m confused on what to do.

Answers

The top left figure is similar with the figure given in this problem.

What are similar figures?

Two figures are defined as similar triangles when they share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

Hence the top left figure is similar with the figure given in this problem, as:

5/2 = 20/8.The angle measures are the same.

More can be learned about similar figures at brainly.com/question/14285697

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Can I Get Help Pls Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?

Answers

Answer: 18 ft

Step-by-step explanation:

Given

Scale is 1inch:9 feet

1 feet= 12 inch

The dividing board is 2 inches long

Suppose the actual length of the diving board is x

[tex]\therefore \dfrac{1}{9\times 12}=\dfrac{2}{x}\\\\\Rightarrow x=\dfrac{9\times 12\times 2}{1}\\\\\Rightarrow x=216\ inch\ \text{or}\ 18\ ft[/tex]

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3: multiply by -2

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Step-by-step explanation:

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Step-by-step explanation:

The dimensions of a rectangle are shown. What is the area of the rectangle?
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Answers

Answer:

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Answer:

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Step-by-step explanation:


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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The associative property of addition is as follows :

a+(b+c) = (a+b)+c

We have,

a = 8, b = 9 and c = 3

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Using above property,

(8+9)+3 = 8+(9+3)

20 = 20

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Write this word sentence as an equation. 82 is the difference of a number b and 24

Answers

Answer:

106 - 24 = 82

Step-by-step explanation:

b = 106, solve 106 - 24 and you get 82.

Hope this helped.

Answer:

b/24=82

Step-by-step explanation:

Since the difference of an equation is the outcome of division we place 82 as the answer.  

Also, since 82 is greater than 24 we can assume that the variable "b" is larger than both 82 and 24.

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Answers

Answer:

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Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

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