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frozen [14]
3 years ago
5

In a history class, the girl to boy ratio is 5 to 3. If there are 80 students total, how many boys are there?​

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
80x3/8=10 common factor. 10x5. And 10x3


50/30

30 boys

50 girls
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Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest
jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

=> 0.08x+0.18y=4500

or getting rid of the decimal by multiplying by 100 on both sides.

8x+18y=450000          ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

10y=210000  

So, y = 21000

And x+21000=30000

x = 30000-21000

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

6 0
3 years ago
Which statement CANNOT be represented by the expression t - 16
faltersainse [42]

Answer:

no statement

Step-by-step explanation:

List the statements pls

3 0
3 years ago
what is the hight of a cylinder with a volume of 384tt cubic inches and a radius of 8 inches? round to the nearest tenth of an i
skelet666 [1.2K]

Answer:

1.9 inches

Step-by-step explanation:

We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,

→ π × r² × h = 384

⇒ Substitute in 8 for 'r'

→ π × 8² × h = 384

⇒ Simplify

→ π × 64 × h = 384

⇒ Divide both sides by 64 to isolate π and h

→ π × h = 6

⇒ Divide both sides by π to isolate 'h' and find the value of the height

→ h = 1.9098593171

The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches

5 0
3 years ago
Please answer quick you will be rewarded handsomely!!!
Mekhanik [1.2K]
12*12=144cm^2

I think that’s how it’s done, if not I’m really sorry
7 0
4 years ago
What are the domain and range of f(x) = |x + 6|?
REY [17]
The answer is X= - 6
5 0
3 years ago
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