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Wewaii [24]
3 years ago
14

Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $0.20 per cup, and his average tot

al cost is $0.17, what are Bobby's economic profits for the day? a. $0.60 b. $0.00 c. $0.20 d. $0.80
Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

Bobby's economic profits for the day is $0.60.

Step-by-step explanation:

Bobby sells 20 glasses of lemonade for $0.20 per cup.

Amount earned = 20\times0.20=4 dollars

The average total cost is $0.17.

So, difference in selling amount and average = 0.20-0.17=0.03 dollars

Therefore, Bobby's economic profits for the day is = 20\times0.03=0.60 dollars

Hence, the answer is $0.60.

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The coefficient of 'y' in her simplified answer is 10.
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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
3y+4y+6=20 solve variable. include steps, also check your answer!
stira [4]

Answer:2

Step-by-step explanation:

3y+4y+6=20

7y+6=20

7y=20-6=14

Y=14/7=2

6+8+6=20

8 0
3 years ago
If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero
belka [17]

Answer:

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is  

P(x)=x^3+5x^2+7x+3

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

P(x)=x^3+x^2+4x^2+4x+3x+3

P(x)=x^2(x+1)+4x(x+1)+3(x+1)

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Now, splitting the middle term, we get

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P(x)=(x+1)(x+1)(x+3)

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Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

7 0
3 years ago
1. spotlight is placed 25 feet from a flag that is 20 feet high Spotlight Which expression can be used to find the angle of elev
Ganezh [65]

Answer:

Im not entirely sure this is right but

0 = tan^-1(20 ÷ 25)

0 ≈ 38.65°

hope i helped lol

5 0
3 years ago
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