Answer:
There are 40 problems on the test
Step-by-step explanation:
Let p = the number of problems on the test
The number of problems on the test times the percent correct is the number correct
p * 85% = 34
p * .85 = 34
Divide each side by .85
p * .85/.85 = 34/.85
p = 40
There are 40 problems on the test
If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Create an expression. Solve for x
22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
x=44/33=4/3 or 1.3 hours
Answer:
He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles
Step-by-step explanation:
In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.
We proceed as follows;
First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards
Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.
Mathematically, 1 mile = 1760 yards
3 miles = 3 * 1760 = 5,280 yards
To know the number of yards he need to skate more, we simply carry out a subtraction;
5,280 yards - 1250 yards = 4,030 yards
The vertex is ( 1, -16 ).
