Answer:
(n+11)^2
Step-by-step explanation:
Hope this helps!
Answer:
A. 36
B. 3.5
Step-by-step explanation:
To solve for the first equation, we could represent the hot dogs as h(1.75-.50), since they are losing .50 cents for each hot dog, <em>h,</em> they make.
Since they want to know how many hot dogs they have to sell to equal the amount of money they spent, we can represent it as an equal sign.
Now all we have to do is add the constants. Add 12 to our overall equation and subtract 57, since the <u>received</u> $12 in donations and <u>lost</u> $57.
Our equation is 12+h1.75=57+.5h We can just put all of the negative numbers on one side and the positive numbers on the other to find out when they will be equal.
First, subtract 12 from 57.
h1.75=45+.5h
Now subtract .5h from both sides.
h1.25=45
Finally, divide both sides by 1.25.
h=36.
They will have to sell 36 hot dogs.
If they want to sell halve the hotdogs for the same price, simply multiply the current price by 2.
The hotdogs will have to cost $3.5.
Hope this helps!
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Answer:
Step-by-step explanation:
Answer:
1. Subtract 18 from both sides to get the equation set to 0:
x2 + 7x - 18 = 0
Now factor. Given the negative sign in front of the 18, you will have (x + ) (x - ) as your factors, with the larger one being positive. Now, which factors of 18 can be combined to get a result of 7? I'll leave that for you.
2- 2.3 Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7
3-Final result :
(m - 1) • (m - 8)
4-Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+63
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +63
Step-1 : Multiply the coefficient of the first term by the constant 1 • 63 = 63
Step-2 : Find two factors of 63 whose sum equals the coefficient of the middle term, which is -16 .
-63 + -1 = -64
-21 + -3 = -24
-9 + -7 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -7
x2 - 9x - 7x - 63
