Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
$555,765.76
Step-by-step explanation:
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16282
32564
65128
13256
26512
53024
106048
212096
424192
868384
1736768
3473536
6947072
13894144
27788288
55576576=
555,765.76
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Let's solve your equation step-by-step
16.8-(-23.72)-31.3=x
Step 1:simplify both sides of the equation
16.8-(-23.72)-31.3=x
16.8+23.72+-31.3=x
(16.8+23.72+-31.3)=x (combine like terms)
9.22=x
9.22=x
Step 2: flip the equation
Answer: x=9.22
Add all sides.
5x+2+3x+8+4x-1
Combine like terms
12x+9
Subtract nine to get it on the other side of the equal sign
12x= -9
Divide by twelve
x=-9/12
Simplify
x=-3/4
Plug in x.
