HELP ME PLEASE:((

A caterer makes 15 3/4 quarts of tomato soup. He pours 2 cups of soup into each bowl. How many quarts of soup are in each bowl?

Sindrei [870]

ANSWER:

There are 0.5 quarts in each bowl. There are 31 fully filled bowls. And left over soup is 1 cup of soup.

SOLUTION:

Given, a caterer makes $15 \frac{3}{4}$ which is equal to $\frac{63}{4}$ quarts of tomato soup.

He pours 2 cups of soup into each bowl.

Now let us find how many quarts of soup are in each bowl?

We know that, 1 us liquid quart equals to 4 us cups.

Then, 1 quart = 4 cups

1 cup = $\frac{1}{4}$ quarts

Here, in each bowl caterer pours two cups,

So, 2 cups = $2 \times \frac{1}{4}$ quarts

$= \frac{1}{2} = 0.5 quarts$

Hence, there are 0.5 quarts in each bowl.

Now let us find how many 2-cup bowls of soup can the caterer fill to the top?

From above part, we know that, each bowl has 0.5 quarts.

Then, total bowls with 2- cups of soup = $\frac{\text {total soup}}{\text {soup in one bowl}}$

$=\frac{\frac{63}{4}}{\frac{1}{2}}$

$=\frac{63}{4} \times \frac{2}{1}$$=\frac{63}{2}$$=31.5$$

Here, 0.5 means that a bowl which is not filled to the top. So there are 31 fully filled bowls.

Now, let us find how many cups of soup are left over?

From above part we saw that, there are 31 fully filled bowls but there is a bowl with 0.5 quarts and which is not fully filled.

So, it is the amount of soup which is left over. i.e. 0.5 times of a bowl.

We know that, each bowl will have two cups.

Here left over bowl has half of it filled with soup

So the left over soup is 1 cup of soup.

5 0

3 years ago

Solve for r. √2/3r + 1 = 23

Keith_Richards [23]

Answer:

2nd option

Step-by-step explanation:

$\frac{\sqrt{2} }{3}$ r + 1 = 23 ( subtract 1 from both sides )

$\frac{\sqrt{2} }{3}$ r = 22 ( multiply both sides by 3 to clear the fraction )

$\sqrt{2}$ r = 66 ( divide both sides by $\sqrt{2}$ )

r = $\frac{66}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ ( rationalising the denominator )

r = $\frac{66\sqrt{2} }{2}$ = 33 $\sqrt{2}$

7 0

2 years ago

Read 2 more answers

True or False

kifflom [539]

Answer:

true
true
false
false

Step-by-step explanation:

One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

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1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

True: translation can be replaced by two reflections

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2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.

True: translation can be replaced by two rotations

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3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

However, a rotation can be replaced by two reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.

False: rotation can be replaced by reflection

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4. reflection by rotation and translation

As discussed above, reflection changes orientation, but rotation and translation do not.

False: reflection can be replaced by rotation and translation

6 0

2 years ago

Angelica and genesis are trying to find the difference of 7-(-5). Genesis thinks the difference is -12. Angelica thinks the diff

Elena-2011 [213]

Answer:

12

Step-by-step explanation: