A is not always true. Compare -10 and 3. Minus 10 is smaller than 3 even though -10 has a larger absolute value. Remember, integers include - minus numbers.
B is another way of saying what I just said for A
C is not always true. Use -3 and -10 The absolute values are 3 and 10. But -3 is larger than - 10. This is kind of sneaky. You have to try this for yourself a couple of times.
D. No! Another counterexample is 3 and 10. The absolute value of 3 and 10 is 3 and 10. These two are positive, and the example does not make D true. All you need is one exception to make something false.
The slope is -4/5 but in standard form it would be 4x-5y=30.
Subtract 3 from both sides
-18 - 3 = x/3
Simplify -18 - 3 to -21
-21 = x/3
Multiply both sides by 3
-21 * 3 = x
Simplify -21 * 3 to -63
-63 = x
Switch sides
<u>x = -63</u>
Answer:
D 4,020
Step-by-step explanation:
$37,000(.06) = $2,220
$2,220 + $1,800 = $4,020
have a good day!!
Answer: 3 hours
Step-by-step explanation:
Here is the correct question:
Betty and karen have been hired to paint the houses in a new development. Working together the women can paint a house in two thirds the time that it takes karen working alone. Betty takes 6 hours to paint a house alone. How long does it take karen to paint a house working alone?
Since Betty takes 6 hours to paint a house alone, that means she can paint 1/6 of the house in 1 hour.
Karen can also paint 1/x in 1 hour
Both of them will paint the house in 3/2 hours.
We then add them together which gives:
1/6 + 1/x = 3/2x
The lowest common multiple is 6x
1x/6x + 6/6x = 9/6x
We then leave out the denominators
1x + 6 = 9
x = 9 - 6
x = 3
Karen working alone will paint a house in 3 hours.
