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DanielleElmas [232]
3 years ago
10

Find the greatest common factor of 24 and 45.

Mathematics
2 answers:
Anit [1.1K]3 years ago
5 0
3.

3x15=45
3x8=24.
Hope I helped!
Elena L [17]3 years ago
5 0

Answer:

It is 3

Step-by-step explanation:

It is 3 that is the GCF of 24 and 45

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To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
2 years ago
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Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Fran
Anastaziya [24]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

4 0
2 years ago
One-fifth the sum of one-half and one-third. WRITE IN A EXPRESSION FORM
vladimir2022 [97]

Answer:

1/6

Step-by-step explanation:

1/2 + 1/3 = 5/6

1/5 of 5/6 = 5/30

5/30 can be simplified as 1/6.

8 0
3 years ago
Suppose the odds against winning the lottery as 48,000,000 to 1. What is the probability of the event of winning the lottery giv
kupik [55]

The probability according to the given scenario will be "\frac{1}{48,000,001}".

According to the question:

  • The odds against winning the lottery are 48,000,000 to 1.
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→ The total outcome will be:

= 48,000,000 +1

= 48,000,001

As we know,

→ P(E) = \frac{Favorable \ outcomes}{Total \ outcomes}

By putting the values, we get

→           =\frac{1}{48,000,001}

Thus the above response is right.

Learn more about Probability here:

brainly.com/question/15739211

8 0
2 years ago
What is the simplified fraction of 30/48 using the giant one<br>​
STatiana [176]

Answer:

The answer is

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