Answer:
D 36
Step-by-step explanation:
<em>Write the information algebraically</em>
c = 3a
c + a = 48
c = children, a = adults
<em>In the second sentence (in bold), we can replace c with 3a</em>
c + a = 48 → 3a + a = 48
<em>Simplify</em>
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
<em>We can then substitute or plug in a = 12 into the original equation:</em>
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
<h3>There are 36 children</h3>
<span>3/2+2x/5=7/10
We simplify the equation to the form, which is simple to understand
<span>3/2+2x/5=7/10
Simplifying:
<span>+1.5+2x/5=7/10
Simplifying:
<span>+1.5 + 0.4x=7/10
Simplifying:
<span>+1.5 + 0.4x=0.7
We move all terms containing x to the left and all other terms to the right.
<span> + 0.4x=0.7-1.5
We simplify left and right side of the equation.
<span> + 0.4x=-0.8
We divide both sides of the equation by 0.4 to get x.
<span>x=-2
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Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
The appropriate description is A).
Mrs. Liang will be sampling the patron population with children who use reading groups. Unless that is the entire patron population, which we suspect it is not, her sampling method will be unrepresentative of the patron population as a whole.
Hello there! Your answer would be C.
Basically; the + 8 and + 6 values both represent the Y intercept, the value of y when x = 0. So, if you're going from 8 to 6, You're going two units down on the values of y.
I hope this helps and have a great day!!