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ASHA 777 [7]
3 years ago
15

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wan

ts to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?
Mathematics
2 answers:
Marat540 [252]3 years ago
4 0
You need to find the greatest common factor of 30 and 48.

First find the prime factorizations of 30 and 48.

30/2 = 15
15/3 = 5
5/5 = 1

48/2 = 24
24/2 = 12
12/2 = 6
6/2 = 3
3/3 = 1

The prime factorizations are:
30 = 2 * 3 * 5
48 = 2^4 * 3

To find the GCF, you need the product of the common factors with the lower exponent.

Both 30 and 48 have 2 as a factor. 30 has 2 and 48 has 2^4. Pick the one with the lower exponent: 2.

Both 30 and 48 have 3 as a common factor. Pick 3.

GCF = 2 * 3 = 6

She needs 6 containers.
Ludmilka [50]3 years ago
3 0
You find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers.
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5 0
3 years ago
Rosa made 12 gallons of lemonade to sell at a lemonade stand. How many pints of lemonade did she make?
Sav [38]
96 pints, because 1 gallon equals 8 pints, so 12 X 8 equals 96.
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3 years ago
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Over the last 4 seconds, a snail has traveled 4/9 of an inch. If the snail traveled the same distance each second, how far did i
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Answer: the correct answer is A. :-)

Step-by-step explanation:

4/9 divided by 4 is 1/9.

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3 years ago
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Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0
3 years ago
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zlopas [31]

Answer:

W=5.3, l= 15.6

Step-by-step explanation:

Perimeter of a rectangle p=2(l+w)

P= 42

W= x

L= 5+2x therefore 42=2(5+2x+x)

42=10+6x , 32=6x

Make x subject of formula

X=32/6 x=5.3 there for w=5.3

Where L= 5+2x ; L=5+2(5.3)

L therefore = 15.6

3 0
3 years ago
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