Let s denote the number of pages in each issue of the sports magazine.
Let t denote the number of pages in each issue of the technology magazine.
Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.
This can be written in equation as,
Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".
This can be written in equation as,
Thus, the set of equations that represent the given data is
and
Hence, Option A is the correct answer.
Answer:
∠4 = 78°, assuming out measurements have been taken in degrees.
Step-by-step explanation:
If ∠2 = 8x + 10 and
∠4 = 42 + 6x
We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.
8x + 10 = 42 + 6x Take away 6x from both sides
2x + 10 = 42 Take 10 away from both sides to combine like terms
2x = 32 Divide both sides by 2 to isolate x
x = 16
Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x
∠4 = 42 + 6x
∠4 = 42 + 6(6)
∠4 = 42 + 36
∠4 = 78°, assuming out measurements have been taken in degrees.
Answer:
There were 16 birds at the shelter on Wednesday.
Step-by-step explanation:
Number of cats and birds on Wednesday = 34
let the number of birds on Wednesday = b
Then number of cats = (34 -b)
The rate of taking care of each bird in shelter = $3
The rate of taking care of each cat in shelter = $7
Total amount spent by shelter on Wednesday = $174
So, according to the question
b x ($3) + (34 -b) ($7) = $ 174
or, 3b + 238 - 7b = 174
or, 4b = 64
⇒ b = 64/4 = 16
Hence, the number of birds in shelter on Wednesday = b = 16
and Number of cats = 34 - 16 = 18
Answer:
Rectangle. length x width = area
10x4=40
triangle. base x height / 2 = area
3x4=12/2=6
40+6= a total of 46 square meters
Step-by-step explanation:
