Answer:
See below in bold.
Step-by-step explanation:
6x^2+42x The greatest common factor is 6x so we have:
6x(x + 7).
x^2 - 7x - 30
Note that: + 3 * -10 = -30 and + 3 - 10 = -7 so the factors are:
(x - 10)(x + 3).
x^2 + 9x + 20
Note that + 5 * +4 = +20 and +4 + 5 = + 9;
= (x + 5)(x + 4).
x^2 - 14x + 48
Note that -6 * -8 = 48 and -6 - 8 = -14 so:
= (x - 6)(x - 8).
2x^2 + 21x - 11
When the leading coefficient is greater than 1 we can use
the ac method:
2 * -11 = -22
Now we need 2 numbers whose sum is + 21 and whose product is -22.
They are +22 and -1. So we write:
2x^2 + 21x - 11
= 2x^2 + 22x - 1x - 11 Factor this by grouping:
= 2x(x + 11) - 1(x + 11)
The x + 11 is common so the answer is:
(2x - 1)(x + 11).
5a^2 - 125 The GCF is 5 so we have:
5(a^2 - 25) Now we have the difference of 2 squares in the parentheses so
this is 5(a - 5)(a + 5).
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon = 
![[\text{ 1 inch}=\dfrac{1}{12}\text{ feet}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B%201%20inch%7D%3D%5Cdfrac%7B1%7D%7B12%7D%5Ctext%7B%20feet%7D%5D)
In yards, Total ribbon =
![[\text{1 feet}=\dfrac{1}{3}\text{ yard}]](https://tex.z-dn.net/?f=%5B%5Ctext%7B1%20feet%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctext%7B%20yard%7D%5D)
Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
Answer:
There are 100 adult tickets, and 175 kids tickets sold.
Step-by-step explanation:
Answer:
c=8
Step-by-step explanation:
3c/8 = (c+4)/4
We can use cross products to solve
3c c+4
----- = ----------
8 4
3c*4 = 8 *(c+4)
12c = 8c+32
Subtract 8c from each side
12c-8c = 32
4c = 32
Divide by 4
4c/4 = 32/4
c =8
Answer:
14
Step-by-step explanation:
10 + 4 = 14
