All of the girls are Danielle's cabin at camp are the same age. Their counselor is 3 times their age. Danielle's age and her cou
1 answer:
Answer:
see the explanation
Step-by-step explanation:
Let
D -----> Danielle's age
C -----> Counselor's age
we know that
----> equation A
----> equation B
substitute
equation A in equation B
----> equation that can be used to find Danielle's age
Solve for D
<em>Find the value of C</em>
----> equation that can be used to find Counselor's age
substitute the value of D
therefore
Danielle's age is 7 and Counselor's age is 21
You might be interested in
Answer:
190
Step-by-step explanation:
Data provided in the question:
Confidence level = 99%
Therefore,
α = 1% = 0.01
[ from standard normal table ]
z-value for = 2.58
Margin of error, E = $0.06
Standard deviation, σ = $0.32
Now,
n =
Here,
n is the sample size (or the minimum number of gas stations )
on substituting the respective values, we get
=
=
= 13.76²
= 189.3376 ≈ 190
Hence,
minimum number of gas stations that she should include in her sample is 190
Answer:
Multiply equation by 5 and
by 4
Step-by-step explanation:
Given:
Equations are
To find: constant by which each equation should be multiplied to eliminate the variable in the given system of equations
Solution:
Multiply equation (i) by 5 and (ii) by 4 to get the following equations:
On subtracting these equations, we get
So, the variable gets eliminated
Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:
So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.