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mina [271]
4 years ago
8

Help on # 2 please. Thank you!

Mathematics
1 answer:
Alenkasestr [34]4 years ago
3 0

Answer:

There are 9 boys in the choir

Step-by-step explanation:

To solve this, create two equivalent fractions with the information given

boys      3         x

------- = ------ = ------

girls       4         12

Then, cross-multiply

4x = 3(12)

4x = 36

x = 9

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If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be
Kazeer [188]

Answer:

216

Step-by-step explanation:

You are rolling three die three times

a die has six sides

to obtain the sample space

we would have to multiply 6 x 6  x 6

which could account for the three roles which would be equivalent to the sample space

6^3

8 0
2 years ago
The sum of 4 consecutive odd integers is 72<br> Help
Wittaler [7]

Answer:

Answer: The 4 consecutive odd integers are 15, 17, 19, 21.

8 0
3 years ago
Read 2 more answers
a father is 5s years more than twice as old as his son. the difference in their ages is 25 years. How old is the father
swat32
In order to solve these sort of problems, we can set up 2 equations from the 2 statements.

f = 5  + 2s \\ f  -  s = 25
We can subsitute the value of f, our first equation, into the second equation and solve like this:
5 + 2s  -  s = 25 \\ 1s + 5 = 25 \\ 1s + 5 - 5 = 25 - 5 \\ s = 20
Then we put the the son's age, 20, back into one of our equations and solve for the other value.

f = 5 + 2(20) \\ f = 40 + 5 \\ f = 45
Thus, the father is 45 years old and the son is 20 years old.
5 0
3 years ago
Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
3 years ago
How do you solve this
lys-0071 [83]
2x^2 + 14x = -12

Step 1: Subtract -12 from both sides.

2x^2 + 14x - (-12) = -12 - (-12)

2x^2 + 14x + 12 = 0

Step 2: Factor the left side of the equation.

2(x + 1)(x + 6) = 0

Step 3: Set Factors equal to 0.

x + 1 = 0 or x + 6 = 0

x = -1 or x = -6

Answer:
x = -1 or x = -6

Hope this helps. : )
5 0
4 years ago
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