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allochka39001
1 month ago
12

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

Mathematics
1 answer:
Zina [12.3K]1 month ago
5 0
You need to perform a division.
We are dividing the mixed number 33 1/2 by the mixed number 5 1/4.

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

To begin, convert the mixed numbers into improper fractions.
33 1/2 becomes 67/2, while 5 1/4 becomes 21/4

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

Now, we divide the fraction 67/2 by the fraction 21/4.
To divide one fraction by another, we write the first fraction as is, change division to multiplication, and take the reciprocal of the second fraction. Hence, to divide 67/2 by 21/4, we multiply 67/2 by 4/21.

= 67/2 * 4/21

When multiplying fractions, we multiply the numerators together and the denominators together. So, 67 * 4 = 268 and 2 * 21 = 42

= 268/42

Using a calculator, 268/42 equals approximately 6.38095...

You can fill 6 full glasses.
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Fill in the blanks. a. A​ relative-frequency distribution is to a variable as a​ __________ distribution is to a random variable
AnnZ [12381]

Answer:

a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.

Step-by-step explanation:

Probability, a mathematical concept, involves numerical assessments of how likely a certain event may occur, indicating the validity of its occurrence. The range for the probability of any event is typically between 0 and 1,

with 0 signifying impossibility and 1 indicating certainty of occurrence.

4 0
3 months ago
Two planes A and B can each fly through still air at 550 mph. The distance from Paris to Los Angeles is 5000 miles. Wind blows f
PIT_PIT [12445]

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles d=5000 miles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is v=550 mph

Relative velocity of Plane A is v_a=550-100 =450 mph since Plane A is heading against the wind

Relative velocity of Plane B is v_b=550+100=650 mph

Plane A departs at noon

Distance covered by Plane A in 1 hour =450\times 1=450 miles

The total separation distance between the planes is 5000-450=4550 miles

Assuming they meet after t hours

Distance covered by Plane B in that time frame =v_b\times t=650\times t

Distance traveled by Plane A in t hours is =v_a\times t=450 t

The total distance equals 4550 miles

4550=650t+450t

t=\frac{4550}{1100}

t=4.13 hr

Distance traveled by B is =650\times 4.136=2688.63 miles

thus, they meet at a point 2688.63 miles away from Los Angeles.

5 0
3 months ago
Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?
Zina [12379]

To determine an equivalent for RootIndex 3 StartRoot 8 EndRoot Superscript x, we can proceed with =2^x

Detailed Explanation:

We aim to express RootIndex 3 StartRoot 8 EndRoot Superscript x in a different form.

In mathematical terms:

(\sqrt[3]{8})^x

To solve:

Notably, 8 can be broken down into 2 multiplied by itself three times = 2^3

and \sqrt[3]{x}=x^{\frac{1}{3}}

Using these principles:

=((2^3)^{\frac{1}{3}})^x

=(2^{\frac{3}{3}})^x\\

=2^x

Thus, as we find a solution to RootIndex 3 StartRoot 8 EndRoot Superscript x, it results in =2^x

Terms: Radical Expression

Explore more about Radical Expression at:

8 0
2 months ago
If BCD ~ GEF, find BD
PIT_PIT [12445]

Response:

BD equals 19

Detailed breakdown:

4 0
3 months ago
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
babunello [11817]
QR is 12, as you establish a proportion: 21/14 = x/8, then cross-multiply to obtain 14x = 168, which you solve by dividing to find x = 12.
6 0
1 month ago
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