Answer:
57.75 yards yard will she makes 14 panels.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement: Katrina uses 4.125 yards of fabric for each curtain panel she makes.
To find the how many yard will she makes 14 panels.
By proportion definition,
By cross multiply we have;
Simplify:
x = 57.75 yards.
therefore, 57.75 yards yard will she makes 14 panels.
Answer:
Step-by-step explanation:
If she was given a discount of 12% then the amount to be paid becomes I=P×R×T/100
I=400000×12×20/100
I=960000
Amount to be paid =I +P= 960000+400000=1360000
To liquidate this amount in 20 years therefore will be A÷20
1360000÷20
=68000 yearly
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
THe correct option is the 3rd option
