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3 years ago

Pre Algebra

Mathematics

1 answer:

Goryan [66]3 years ago

8 0

Answer:

36 hotdogs

Step-by-step explanation: Let x= number of hot dogs sold to break even

Equation: 57+0.50x=12+1.75x

subtract 12 from both sides: 45+0.50x=1.75x

subtract 0.50x from both sides: 45=1.25x

Divide both sides by 1.25: x=36

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Step-by-step explanation:

Multiply the total number of students by the ratio given

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3 years ago

Which two ratios form a proportion?

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Answer:

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Step-by-step explanation:

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7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

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3 years ago

What’s the value of the 8 in 281480100

luda_lava [24]

We want to find the value of the 8 in 281,480,100

Let's find the place value of each of the numbers:

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1 - millions

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1 - hundreds

0 - tens

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I see there are two 8's so I wouldn't be too sure of which value to find, but just in case, we have the chart made above for place values.

There is one 8 at the ten millions value.

There is one 8 at the ten thousands value.

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olga55 [171]

Answer:

4³=4*4*4 is a required expanded form.

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