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2 years ago

A sixth number will be added to the list. What must it be in order for the mean to be 12?

Mathematics

2 answers:

Nataliya [291]2 years ago

7 0

The sixth number should be 16 in order for the mean to be 12

Effectus [21]2 years ago

4 0

Answer:

Step-by-step explanation:

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The sum of the ages of Rudy and his father is 58 years. The difference in their ages is 32 years. How old is each ?

Anestetic [448]

Answer:

Rudy is 13 years old. Her father is 45 years old.

Step-by-step explanation:

It's very simple actually!

All you need to do is subtract 32:

58 - 32 = 26

Then divide:

26 ÷ 2 = 13

13 is Rudy's age. Let's find her father's age!

We then add 32 back to 13:

32 + 13 = 45

And there you have it!

Hope this helped! :)

7 0

2 years ago

What would be the steps to solving this problem? <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula

lidiya [134]

Isolate the variable by dividing each side by factors that don’t contain the variable.

X = -2

Hope this helps!
Have a great day!

3 0

2 years ago

Read 2 more answers

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

-Dominant- [34]

Let

x--------> the number of children

y------> the number of teenagers

z------> the number of adults

we know that

$2x+3y+5z=1,950$ ------> equation A

$x+y+z=570$ -----> equation B

$y=\frac{3}{4}x$

$x=\frac{4}{3}y$ -------> equation C

Substitute equation C in equation A and equation B

$2[\frac{4}{3}y]+3y+5z=1,950$

$\frac{17}{3}y+5z=1,950$ --------> equation D

$[\frac{4}{3}y]+y+z=570$

$\frac{7}{3}y+z=570$ --------> equation E

Multiply equation E by $-5$

$-\frac{35}{3}y-5z=-2,850$ --------> equation F

Adds equation D and equation F

$\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers$

therefore

the answer is the option

$150\ teenagers$

4 0

2 years ago

Read 2 more answers

Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another wi

Troyanec [42]

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!

8 0

2 years ago

Tan70=2tan50+tan20 help me please

IceJOKER [234]

Answer:

Step-by-step explanation:

The answer is already there

8 0

3 years ago