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2 years ago

Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning

Mathematics

2 answers:

densk [106]2 years ago

8 0

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

Solnce55 [7]2 years ago

7 0

Answer:

I think that AC is greater than BC. I think this because AC is the hypothesis and the hypothesis of a right triangle is longer than the other two sides of the triangle.

Step-by-step explanation:

Hope this helps : )

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a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet

tangare [24]

Answer:

50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

Step-by-step explanation:

Suppose, the number of Chef's salad is $x$ and the number of Caesar salad is $y$

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are: $40\leq x\leq 60$ and $35\leq y\leq 50$

The total number sold has never exceed 100 salads. So, another constraint will be: $x+y\leq 100$

According to the graph of the constraints, the vertices of the common shaded region are: $(40,35), (60,35), (60,40), (50,50)$ and $(40,50)$ (Refer to the attached image for the graph)

The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be: $P=0.75x+1.20y$

For (40, 35) , $P=0.75(40)+1.20(35)=72$

For (60, 35) , $P=0.75(60)+1.20(35)=87$

For (60, 40) , $P=0.75(60)+1.20(40)=93$

For (50, 50) , $P=0.75(50)+1.20(50)=97.5$ (Maximum)

For (40, 50) , $P=0.75(40)+1.20(50)=90$

Profit will be maximum when $x=50$ and $y=50$

Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

6 0

2 years ago

Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How m

Kruka [31]

Answer:

2 cents

Step-by-step explanation:

you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze

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2 years ago

over the past five weeks, the average daily temperature in Wellington has dropped 40 degrees Fahrenheit. Write and evaluate ab e

Westkost [7]

In five weeks, there are 35 days. So, the average drop in temperature per day is 40/35 = 8/7 degrees per week. Then in 1 week, 8/7 degrees per day * 7 days per week = 8 degrees per week.Therefore there are 8 degrees drop of temperature in 1 week.

7 0

2 years ago

A rectangular Corn Hole area at the recreation center has a width of 5 feet and a length of 10 feet. If a uniform amount is adde

almond37 [142]

1. The formula for calculate the area of a rectangle, is:

A=LxW

A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle

2. You have that:

-The rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:

L1=10 feet
W1=5 feet

- When a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):

3. The new length is:

L2=L1+x+x
L2=L1+2x
L2=10+2x

4. The new width is:

W2=W1+x+x
W2=W1+2x
W2=5+2x

5. The new area is:

A2=84 feet²

6. Then, you have:

A=LxW
84=(10+2x)(5+2x)

7. When you apply the distributive property, you obtain a quadratic equation:

4x²+30x-34=0

8. You can solve with by applyin the quadratic formula:

x=(-b±√(b^2-4ac))/2a

a=4
b=30
c=-34

9. Then, the answer is:

x=1 feet

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2 years ago

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Jack purchased a car for $22,000. The bank gave him an annual interest rate of 4.3%. He will make monthly payments for 6 years (

LenaWriter [7]

Answer:

347.60

Step-by-step explanation:

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2 years ago

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