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2 years ago

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and

1 answer:

6 0

For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R

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11Alexandr11 [23.1K]

75 ÷ 12.5 = 6
6 small jars = 1 large jar

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2 years ago

Mrs. Frasier is making costumes for the school play. Each costume requires 0.75 yard of fabric. She bought 6 yards of fabric. Ho

Marta_Voda [28]

Step-by-step explanation:

0.75 yard = 1 costume

1 yard = 1/0.75 =4/3 costume

6 yards = 4/3 × 6 = 8 costumes

if you wanna check,

8 costumes = 6 yards

1 costume = 6/ 8

= 3/4 (0.75) yard

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2 years ago

A collector has 100 movie posters and 80 band posters. She wants to sell 20 movie posters but still have her poster collection m

Andrew [12]

100:80=5/4
100-20:?=5/4 or 80:?=5/4
80/5=16
16*4=64
80:64

80-64=16
16 band posters.

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3 years ago

A laboratory technician needs to make a 81-liter batch of a 20% acid solution. How can the laboratory technician combine a bat

Ludmilka [50]

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2 years ago

Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

2 years ago