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3 years ago

How many 5 1/4 ounce glasses can be completely filled from a 33 1/2 ounce container of juice?

1 answer:

5 0

You need to divide.
We are dividing the mixed numeral 33 1/21 by the mixed numeral 5 1/4.

(33 1/2 ) / (5 1/4) =

The first step is to change the two mixed numerals into improper fractions.
33 1/2 = 67/2, and 5 1/4 = 21/4

= (67/2) / (21/4)

Now we are dividing the fraction 67/2 by the fraction 21/4.
To divide a fraction by a fraction, rewrite the first fraction, change division intro multiplication, and flip the second fraction. To divide 67/2 by 21/4, we multiply 67/2 by 4/21.

= 67/2 * 4/21

To multiply fractions, multiply together the numerators, and multiply together the denominators. 67 * 4 = 268; 2 * 21 = 42

= 268/42

Using a calculator, 268/42 = 6.38095...

You can fill 6 full glasses.

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A tire shop had to fill 2 1/2 tires with air. It took a small air compressor five minutes to fill them up. How long did it take

PSYCHO15rus [73]

Answer:

It took 2.5 (2 and a half) minutes to fill up one tire

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

35 POINTS AVAILABLE

aliina [53]

Answer:

Part 1) The length of each side of square AQUA is $3.54\ cm$

Part 2) The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

Part 1)

step 1

Find the radius of the circle S

The area of the circle is equal to

$A=\pi r^{2}$

we have

$A=25\pi\ cm^{2}$

substitute in the formula and solve for r

$25\pi=\pi r^{2}$

simplify

$25=r^{2}$

$r=5\ cm$

step 2

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

$SU=r=5\ cm$

Let

x------> the length side of the square

Applying the Pythagoras Theorem

$5^{2}=x^{2} +x^{2}$

$5^{2}=2x^{2}$

$x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm$

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Find the area of the larger circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}$

$1,296=2x^{2}$

$648=x^{2}$

$x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

7 0

3 years ago

(02.05 MC) A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is

Elena L [17]

Alright, lets get started.

Suppose total number of dancers in school = x

We have given in question, 42 % of total dancers are ballet dancers.

So, we could find number of ballet dancers by finding 42 % of total dancers.

Number of ballet dancers = x * 42 %

Number of ballet dancers = x * 42/100 = 0.42 x

As per given in question, there are 63 ballet dancers in school.

Which means 0.42 x = 63

Dividing 0.42 from both sides

0.42 x / 0.42 = 63 / 0.42

x = 150

Hence number of total dancers in school = 150 : Answer

Hope it will help :)

4 0

3 years ago

Can someone help me with this?Can someone help me with this!!!

Elenna [48]

Answer: first fish is -4 and the other is -3

-3 is greater

Step-by-step explanation:

I big brain pls mark brainliest

6 0

2 years ago

Read 2 more answers

Giving brainlyest to the correct answer!!

wolverine [178]

Answer:

5.4

Step-by-step explanation:

hope this helps

3 0

3 years ago