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timama [110]
3 years ago
6

What is the ratio of the number of cups of orange juice to the number of cups of lemon-lime soda?

Mathematics
1 answer:
Mariana [72]3 years ago
4 0
3:1                     ......................................................
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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Natalija [7]

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

5 0
1 year ago
Find the difference between 7 1/2 and 2 3/4
NNADVOKAT [17]

Answer:

4\frac{3}{4} or 4.75

Step-by-step explanation:

first we're going to convert the number into improper fractions.

7\frac{1}{2}= \frac{15}{2} and 2\frac{3}{4}= \frac{11}{4}

For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply \frac{15}{2}x2, it'll equal the same number.

So now we have \frac{30}{4}-\frac{11}{4}, 30-11= 19.

\frac{19}4} simplified is, 4\frac{3}{4}.

As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.

I hope this helps you!

3 0
3 years ago
The answers for number 5
VladimirAG [237]
The answer is c because of y=mx+b

5 0
2 years ago
9) A boardwalk is being built along two sides of a beach area.
Novosadov [1.4K]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Simplify. What is the 4th root of 1296÷625
Anon25 [30]
You divide then you square root the answer. once you get the answer you squate root again giving you 1.2
3 0
3 years ago
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