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borishaifa [10]

3 years ago

9

Loryn made a pitcher of lemonade that contained a 6 and 1/2 cups of lemonade. One serving of lemonade is 1/2 cup. How many cups

of lemonade can Lordy serve to her friends?

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer:

6 1/2

Step-by-step explanation:

i think you got to multiply then you have to make 6 1/2 an mixed number then divide the answer to get an improper fraction

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The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a

faust18 [17]

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes

$V = \pi (x+8)^2(2x+3)$

If you want, you can simplify it by expanding the square and then multiply the two parenthesis:

$V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)$

6 0

3 years ago

Almost there, then everything is set! Thanks guys

faust18 [17]

Answer:

x = 50°

Step-by-step explanation:

Step 1.

180° - 80° (because there are 180 degrees in a triangle) = 100°

Step 2.

100° ÷ 2 = 50° (because the two angles on the bottom are identical, as this is an isosceles triangle - which we know because the two sides on the left and right are both the same length, 7 units)

Step 3.

Answer: x = 50°

5 0

3 years ago

Which of these points lies on the circle with the center (2,3) and radius 2?

yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

(x - h)² + (y - k)² = r²

-Substitution

(x - 2)² + (y - 3)² = 2²

-Simplification

(x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

(4 - 2)² + (3 - 3)² = 4

2² + 0 = 4

4 = 4 This point lies in the circle

B (-1, 0)

(-1 - 2)² + (0 - 3)² = 4

-3² + (-3)² = 4

9 + 9 = 4 This point is not part of the circle

C. (1, 3)

(1 - 2)² + (3 - 3)² = 4

(-1)² + (0)² = 4

1 = 4 This point is not part of the circle

D. (3, 4)

(3 - 2)² + (4 - 3)² = 4

1² + 1² = 4

2 = 4 This point is not part of the circle

5 0

3 years ago

Read 2 more answers

The height of a stack of 12 pennies is 18.24 millimeters. What is the thickness of each penny.

Helga [31]

I’m not great at math so I could easily be wrong, but

I divided the 18.24 millimeters by 12 pennies and got 1.52

So if the pennies are all the same size, each penny should 1.52 millimeters.

To show work:

18.24/12=1.52

4 0

3 years ago

What is the rational number equivalent to <br> __<br> 3.24?

guajiro [1.7K]

Answer:

$\frac{324}{100}$

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is $3\frac{24}{100}$

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0

3 years ago