What adds up to 9 and multiplies to 18

Answers

Answer 1
Answer: If you start adding all the way until you find what equals 9, then you multipliy the answer to see if it gets the answer 18.
8+1=9, so you check to see if 8 times 1 equals 18, this doesn't
5+4=9, check 5 times 4 equals 20, this doesn't equal 18
6+3=9, check 6 times 3 equals 18, so 6+3 is your answer!
Hope I helped!
Answer 2
Answer: 3+3+3 =9 & 3x6=18 so it is 3

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A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?

Answers

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8

The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)

Answers

If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is n² + 4n + 4.

If f(x)=1/2 x-6 what is the equation for f–1(x)? A. f–1(x) = 2x + 6

B. f–1(x) = 2x – 6

C. f–1(x) = 2(x + 6)

D. f–1(x) = 2(x – 6)

Answers

Answer:

Option C f^(-1)(x)=2(x+6)

Step-by-step explanation:

we have that

f(x)=(1)/(2)x-6

Let

y=f(x)

y=(1)/(2)x-6

Exchange the variables x for y and y for x

x=(1)/(2)y-6

Isolate the variable y

x+6=(1)/(2)y

y=2(x+6)

Let

f^(-1)(x)=y

f^(-1)(x)=2(x+6)

I hope this helps you

What is the measurement of STU?

Answers

Triangles UTR and RTS are congruent, because they're both right triangles, RS=RU and side TR is in common.

This implies that angles RTS and RTU are congruent, and thus we have

5w-69=w+3 \iff 4w=72 \iff w=(72)/(4)=18

Finally, angle STU is the sum of RTS and RTU, which is the same as 2RTU, since they have the same measure. So, we have

RTS+RTU=2RTU=2(w+3)=2w+6

and since w=18, we have

2w+6=2\cdot 18+6=36+6=42

Cans of black beans usually cost $1.34 each. This week they are on sale for 5 cans for $6.00. You bought one can last week and one can this week. How much more or less did you pay this week?

Answers

Answer:

$0.14 less to pay this week.

Step-by-step explanation:

Given:

Cans of black beans usually cost $1.34 each.

This week they are on sale for 5 cans for $6.00.

You bought one can last week and one can this week.

Now, to find the amount more or less to pay this week.

So, we use unitary method to get the price of can this week:

If, 5 cans cost this week = $6.00.

Then, 1 can cost this week = (6)/(5)=\$1.20.

Thus, the cans of black beans cost $1.20 this week.

And, last week the cans cost $1.34 each.

So, the cost of can this week is less than last week.

Now, we get the difference in the cost of can of this week than last week by subtracting the cost of can last week from cost of can last week:

\$1.34-\$1.20\n\n=\$0.14.

Therefore, $0.14 less to pay this week.

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?

Answers

the value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes


then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes

Answer:

24 dimes

64 nickels

Step-by-step explanation: