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soldier1979 [14.2K]
2 years ago
6

Ari mixed 2 1/4 cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed gra

pes in each. How many bags of grapes will Ari have? FAST
Mathematics
2 answers:
Oxana [17]2 years ago
6 0

To start, our equation will look like this:

(2 1/4 + 1/2)/ 3/4 = b

To make it easier convert the 2 numbers inside the parentheses into improper fractions, and then multiply them by their least common denominator to add.

(9/4 + 1/2)

(18/8 + 4/8)

(22/8)/ 3/4 = b

Now, to divide 22/8 cups of grapes into bags with 3/4 cup of grapes, multiply 22/8 by 4/3.

(22/8)(4/3)=b

3 2/3 = b

So, if Ari has a bag with 2 1/4 cups of red grapes and 1/2 cup of green grapes, and he divides it into bags with 3/4 cup each, he will have about 3 full bags.

wel2 years ago
5 0

Answer:

3 2/3

Step-by-step explanation:

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Answer:

Step-by-step explanation:

3 0
2 years ago
find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00
Alex17521 [72]
The future worth (F) of the current investment (P) that has an interest (i) that is compounded annually is calculated through,
                                  F = P x (1 + i)^n
where n is the number of compounding period. Substituting the given values,
                             F = ($2,400) x ( 1+ 0.02)^7 = $2,756.85
Thus, the future worth is approximately $2,756.85. The answer is the second choice. 
3 0
2 years ago
W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.  (Lesson 1-11) A. 3 cm to 15 km D.    5 m
nordsb [41]

The equivalent scales are:

3 cm to 15 km is equivalent to 1 cm to 5 km ⇒ answer A

5 mm to 2.5 km is equivalent to 1 cm to 5 km ⇒ answer D

1 mm to 500 m is equivalent to 1 cm to 5 km ⇒ answer E

Step-by-step explanation:

To solve this problem do that

1. The given scale is 1 cm represents 5 km, then all given answer must

   be change to cm and km

2. Find the equivalent scales to the given scale

A.

∵ 3 cm represents 15 km

- Divide both of them by 3

∴ 1 cm represents 5 km

3 cm to 15 km is equivalent to 1 cm to 5 km

B.

∵ 1 mm represents 150 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = \frac{1}{10} cm = 0.1 cm

∴ 0.1 cm represents 150 km

- Multiply both by 10

∴ 1 cm represents 1500 km

1 mm to 150 km is not equivalent to 1 cm to 5 km

C.

∵ 5 cm represents 1 km

- Divide both my 5

∴ 1 cm represents 0.2 km

5 cm to 1 km is not equivalent to 1 cm to 5 km

D.

∵ 5 mm represents 2.5 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 5 mm = \frac{5}{10} cm = 0.5 cm

∴ 0.5 cm represents 2.5 km

- Divide both by 0.5

∴ 1 cm represents 5 km

5 mm to 2.5 km is equivalent to 1 cm to 5 km

E.

∵ 1 mm represents 500 m

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = \frac{1}{10} cm = 0.1 cm

- Change m to km

∵ 1 km = 1000 m

∴ 1 m = \frac{1}{1000} = 0.001 km

∴ 500 m = \frac{500}{1000} = 0.5 km

∴ 0.1 cm represents 0.5 km

- Multiply both by 10

∴ 1 cm represents 5 km

1 mm to 500 m is equivalent to 1 cm to 5 km

Learn more:

You can learn more about the equivalent quantities in brainly.com/question/120752

#LearnwithBrainly

3 0
2 years ago
Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm.
natali 33 [55]

Answer:

Circumference: 64π

Ratio:      1 : 4

Measure of ∠xoy:  π/2    

Step-by-step explanation:

We are given an arc length of 16π.  Since it's in terms of pi, we use the formula

S = rФ    where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)

We are given S = 16π and r = 32, plug those in and find Ф

16π = 32Ф

  16π/32 = Ф

       π/2 = Ф

This is the measure of the central angle.  

The angle is π/2 radians.  There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle.  (There are 4 halves in 2)  so the ratio of the arc length tothe circumference is 1 : 4

The formula for circumference is C = 2πr, where r is the radius, so we hace

C = 2π(32) = 64π

8 0
2 years ago
Read 2 more answers
Carolyn usually only misses about 10% of her free throws. If she misses fewer than 2 of her next 4 free throws, then she will ho
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The correct option will be :  94%

<u><em>Explanation</em></u>

8100  1347   0693  9869   3399   1376   1273   7905    3471    7987  7604   4587   2968  5064   2697   4248   4545   3308

Here, '0' represent a missed free throw and '1 through 9' represent a made free throw.

So, the number of results in which there are fewer than two '0' is  17. That means she will miss fewer than 2 throws in 17 trials and there are total 18 trials.

<u><em>Thus, the probability that she will miss fewer than 2 throws </em></u>= \frac{17}{18}=0.9444.....

For finding the probability in percentage, we need to multiply by 100% . So, (0.9444..... × 100%) = 94.44.... % = 94% <em>(Approximately)</em>

6 0
2 years ago
Read 2 more answers
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