Answer:
$15
Step-by-step explanation:
Let Sam's Money =s
Let Janet's Money =j
of Sam's money equals
of Janet's money.
Let n be the number of dollars held by Sam and Jane respectively
Therefore: ![$n=\frac13s=\frac12j$](https://tex.z-dn.net/?f=%24n%3D%5Cfrac13s%3D%5Cfrac12j%24)
s=3n
j=2n
s+j=3n+2n=5n
Together, they have more than $10
Therefore:
5n>10
n>2
The least sum they could have is at n=3
At n=3
s+j=5n=5X3=$15
The least number of dollars they could have combined is $15.
Answer:
x=13.6
Step-by-step explanation:
These are vertical angles, so they are equal
8x+16 = 3x+84
Subtract 3x from each side
8x-3x+16 = 3x-3x+84
5x+16 = 84
Subtract 16 from each side
5x+16-16 = 84-16
5x = 68
Divide by 5
5x/5 =68/5
x = 13.6
Answer:
35.5
Step-by-step explanation:
H, A
Cos=A/H
Cos 65= 15/x
x=15/cos 65
X + y = 39
xy = -880
x + y = 39
x - x + y = -x + 39
y = -x + 39
xy = -880
x(-x + 39) = -880
x(-x) + x(39) = -880
-x² + 39x = -880
-x² + 39x + 880 = 0
-1(x²) - 1(-39x) - 1(-880) = 0
-1(x² - 39x - 880) = 0
-1 -1
x² - 39x - 880 = 0
x² - 55x + 16x - 880 = 0
x(x) - x(55) + 16(x) - 16(55) = 0
x(x - 55) + 16(x - 55) = 0
(x + 16)(x - 55) = 0
x + 16 = 0 or x - 55 = 0
- 16 - 16 + 55 + 55
x = -16 or x = 55
x + y = 39
-16 + y = 39
+ 16 + 16
y = 55
(x, y) = (-16, 55)
or
x + y = 39
55 + y = 39
- 55 - 55
y = -16
(x, y) = (55, -16)
The two numbers that add up to 39 and multiply to -880 are 55 and -16.