Complete Question
Kelvin finished 2/3 of his test in a 1/2 hour. Express this rate in hours per test.
Answer:
3/4 hours per test
Step-by-step explanation:
2/3 of his test = 1/2 hour
This rate in hours per test is calculated as:
x = 1/2 /2/3
x = 1/2 hour ÷ 2/3 test
x = 1/2 × 3/2
x = 3/4 hours per test
This rate in hours per test is given as 3/4 hours per test
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
-18x-8y-14 because you need to distribute the digits
Answer:
$11,000
Step-by-step explanation:
Because,
20,000 + 2000 = 22,000
22,000 / 2 = 11,000
Answer:
10
Step-by-step explanation:
For this you just have to plug 2 into a and 4 into b. You come to this expression:
3(2) + 4
This gives you 10