We can use two different ways to solve this equation:
Because the board is 25 off, we can multiply the price and subtract the result:
30 - 0.25(30) = 30 - 7.5 = $22.50
We can also solve by multiplying the total price by 0.75
(1 - 0.25)(30) = 0.75(30) = $22.50
The sales price is $22.50
Conversion.
1 yard = 3 feet
So the fabric has 2 yards. Then the size of the patch is 1/4 foot.
So the number of patches that Marcus used is..
= 3 * 2
= 6 / (1/4)
= 24 patches.
So a total of 24 patches Marcus used.
Answer:
Megan is 14
Step-by-step explanation:
Megan is M
Molly is Mo
Mo = 8
M = x
6 + mo = x
6 + 8 = 14
Answer:
the answer is 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
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This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
