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3 years ago

13

In the cafeteria's refrigerator, there are 10 bottles of orange juice and 20 bottles of apple juice. What is the ratio of bottle

s of orange juice to bottles of apple juice in the cafeteria's refrigerator?

2 answers:

lana66690 [7]3 years ago

7 0

Answer:

1:2

Step-by-step explanation:

Because 10/20 = 1/2

White raven [17]3 years ago

3 0

Answer: 10,20

Step-by-step explanation:

You might be interested in

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

6 0

3 years ago

Find the center and radius of the circle whose equation is x2 + y2 - 6x-2y+4= 0

marin [14]

Answer:

The center of the circle = (3, 1)

The radius of a circle is given as r = √6

Step-by-step explanation:

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

In the question above, we are given the equation of a circle as

x² + y² - 6x - 2y + 4= 0

In order to find the center and radius of this circle we would use completing the square method to solve it

Step 1

Collect the like terms

x² - 6x + y² - 2y + 4= 0

Step 2

Complete the square for both x and y

x² - 6x + (-6/2)² + y² - 2y + (-2/2)² = - 4 +(- 6/2)² + (-2/2)²

x² - 6x + (-3)² + y² - 2y + (-1)² = -4 + (3)² + (1)²

x² - 6x + 9 + y² - 2y + 1 = -4 + 9 + 1

(x² - 6x + 9) + (y² - 2y + 1 )= -4 + 9 + 1

(x² - 3x - 3x +9) + ( y² - y - y +1) = 6

x(x - 3) -3( x - 3) + y( y - 1) - 1( y - 1) = 6

(x - 3) (x -3) +(y - 1) ( y - 1) = 6

(x - 3)²(y - 1)² = 6

Since,

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

The equation of the the circle for the above question is calculated as:

(x - 3)²(y - 1)² = 6

where ( a , b) = center of the circle = (3, 1)

r = radius of the the circle

r² = 6

r = √6

8 0

3 years ago

(x+x)^2 × -(x×(-1))=4+x-x^2 <br> solve for x, show work.

Anna71 [15]

Answer:

x = 1

x = -5/8 + i* root( 39) / 8

or x = -5/8 - i* root( 39) / 8

Step-by-step explanation:

(x+x)^2 × -(x×(-1))=4+x-x^2

solve for x, show work.

(x+x)^2 × -(x×(-1)) = 4+x-x^2

Simplify:

(2x)^2 * (-(-x)) = 4 + x - x^2

4x*x * (-(-x)) = 4 + x - x*x

4*x*x*x = 4 + x - x*x

4*x*x*x - 4 = x *(1 - x)

4* (xxx - 1) = x * (1- x)

4* (x - 1)*( x*x +x + 1) = x (1 - x)

4( xx + x + 1) = -x

x = 1 is a solution.

4xx + 4x + 4 = -x

4xx + 5x + 4 = 0

x = -5/8 + root(25 - 4*4*4) / 2*4

x = -5/8 + i* root( 39) / 8

or x = -5/8 - i* root( 39) / 8

also x = 1

6 0

3 years ago

Which are the partial products of 3,706 × 4?

Mariulka [41]

Answer:

14824

Step-by-step explanation:

the product is 14824

8 0

3 years ago

Which one have is the coldest temperature negative numbers or positive numbers

aalyn [17]

Answer:

Step-by-step explanat số âm vì số âm < số dương mà nhiệt đọ càng thấp thì càng lạnhion:

6 0

3 years ago