Answer:
k = -2/5
Step-by-step explanation:
2k+9=7-3k
2k+3k=7-9
5k=-3
k=-2/5
<u>Answer</u>
59°
<u>Explanation</u>
There are 2 parallel line and one transverse.
Angles in a straight line add up to 180°
∴ 180 - (2a + 3) = 180 - 2a -3
= 177 - 2a
The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.
∴ 177 - 2a = a
177 = a + 2a
3a = 177
a = 177/3
= 59°
Answer:
a - 48
Step-by-step explanation:
12 cups are divided into 1/4 cup bags.
Converting 12 into a fraction, you get:
12/1 divided by 1/4.
When we divide fractions, we flip the second fraction and change the operation to multiplication.
12/1 * 4/1.
Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.
12 * 4 = 48.
Answer:
The new price is 66% off the original not 75% off
Step-by-step explanation:
Let x be the original price
First take 60 percent off
x - x*60% = new price
x- .60x = .40x
The new price is .40x
Then take 15 % off
(.40x) - (.40x)*15%
.40x - .40x*.15
.40x - .06x
.34x
100 -.34 =.66
The new price is 66% off the original not 75% off
Step 
<u>Find the factors of each number</u>
we know that

Step 
<u>Find the greatest common factor (GCF)</u>
the GCF is equal to----------> 
therefore
<u>the answer is</u>
The GCF is 