Answer:
340
Step-by-step explanation:
We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.
0.36*942= 339.12 which we can round to 340
The product is a bit less than the estimate. In fact, 7.69 is less than 8, and if you start with an equality, i.e.

you can multiply both sides by a positive number, and the inequality will still hold:

Answer:
Step-by-step explanation:
x-5
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
Answer:
20 gallons
Step-by-step explanation:
The living room is made up of white trim and blue surface area between the walls. Since the ratio of the blue surface area between the walls to the white trim is given by 1 : 10.
Also 2 gallons of blue paints are used for the walls, let x represent the number of white paint used in gallons. Hence:
number of white paint in gallons = [1 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints
2 = 1/11 * total number of paints used
total number of paints = 22 gallons
number of white paint (x) = [10 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints
x = 10/11 * 22
x = 20 gallons
Therefore 20 gallons of white paint was used