Answer:
2 and 11
Step-by-step explanation:
Let's start by calling these two numbers x and y. Now, you can set up the following system of equations:
x*y=22
x+y=13
You can rearrange the following equation to be x=13-y, and substitute into the first.
(13-y)*y=22
-y^2+13y=22
y^2-13y+22=0
y=2 or 11
x=11 or 2
Hope this helps!
Answer:
pretty sure its 1/12
Step-by-step explanation:
on two six sided dices I know that the probability of ten is 3/36. When you simplify that you get 1/12
Answer: 
Step-by-step explanation:
Complete question is provided in the attachment below.
Given: Jacob and Issac decided to run to the basketball court
Distance between basketball court and school = 
miles
miles
Speed = 
miles per hour
miles per hour
Since, time = (distance) ÷ ( speed)
Now, the time taken by boys to arrive at the basketball court = 
hours
Hence, the required length of time =
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
Answer: Approximately 6.3876 years
When rounding to the nearest whole number, this rounds up to 7 years.
===============================================================
Work Shown:
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
- A = amount of money after t years
- P = initial deposit amount or principal
- r = interest rate in decimal form
- n = compounding frequency
- t = number of years
In this case, we know that,
- A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.
- r = 0.11
- n = 4, since we're compounding 4 times a year
- t = unknown, what we want to solve for
So,
A = P*(1+r/n)^(n*t)
2P = P*(1+r/n)^(n*t)
2 = (1+r/n)^(n*t)
2 = (1+0.11/4)^(4*t)
2 = 1.0275^(4t)
Ln(2) = Ln(1.0275^(4t))
Ln(2) = 4t*Ln(1.0275)
4t*Ln(1.0275) = Ln(2)
t = Ln(2)/(4*Ln(1.0275))
t = 6.38758965414661
It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.
