Answer:
4 students
Step-by-step explanation:
As shown in the diagram, let U=[The total number of students questioned]
A=[Those who liked peanut butter ]
B=[Those who liked jam ]
x = those who like both peanut butter and jam.
Also 6 liked neither peanut butter nor jam.
From the diagram we can write the mathematical equation as follow and solve for x
We add x and subtract 30 to both sides.
Therefore 4 students like both peanut butter and jam.
Answer:
Which of the following ratios is equivalent to 5/8 ?
A) 16 : 10
B) 5 to 13
C) 25/44
<u>D) 15 out of 24</u>
Step-by-step explanation:
5 : 8
(×3)
15 : 24
So first we want to find how far away they were after one hour.
Assuming they were going at a steady rate:
Since:
320 miles = distance traveled in 2 hours
We can divide both sides by 2 to get:
160 miles = distance traveled in 1 hour.
So we now know that the trains were 160 miles apart after 1 hour.
So we can assign the eastbound train a variable for its speed right now, or just x. And then the westbound train would be x + 18.
So, since the rate is in miles per hour, and they traveled 160 miles in one hour, we can say:
x + x + 18 = 160 miles
Then just solve.
2x + 18 = 160
-18 -18
2x = 142
/2 /2
x = 71
Since x equals the rate of the eastbound train, and we're looking for the westbound train, just add 18 to 71 because the westbound train was going 18 mph faster than the eastbound train.
18 + 71 = 89
So the rate of the westbound train is 89 mph.
Answer:
3x +6
Step-by-step explanation:
The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.
An equivalent expression is ...
3x +6
