Answer:
$32 is the sales price.
Step-by-step explanation:
First, change the percentage to a decimal.
60% = 60/100 = 0.6
Next, multiply 0.6 with the regular price ($80)
80 x 0.6 = 48
$48 is the discount. Subtract from the original price
80 - 48 = 32
$32 is the sales price.
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12X1
11+1
21-9
20-8
There is a lot more to make it 12
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:
45 and 135
Step-by-step explanation:
If angles, with measurements a and b, are supplementary, then a and b have sum 180 degrees.
So we have the following equation so far:
a+b=180
Now we also have that one angle has a measurement that is 1/3 the value of the one.
So we also have 3a=b which means we are letting the angle whose measurement be a have 1/3 the value of b.
So lets plug the second equation into first giving us:
a+3a=180
Add like terms:
4a=180
Divide both sides by 4:
a=180/4
a=45
So b=3a=3(45)=135.
So the angles in question have measurement s 45 and 135.
Answer:
C
Step-by-step explanation:
