Answer:
Let x = the smaller number
Let 3x + 15 = the larger number
x + 3x + 15 = 63
4x = 48
x = 12
3(12) + 15 = 51
Step-by-step explanation:
Answer:
.40 cents per hour. it dropped $2 over 5 hours. 4×5=20 so .40×5= 2.00
Answer:
0.189
4.525
Step-by-step explanation:
v/1 + 2/v + 4v/3 = 11
we can eliminate denominators if we distribute 3v to each term:
3v(v/1 + 2/v + 4v/3) = 3v(11)
3v² + 6 + 4v² = 33v
7v² - 33v + 6 = 0
factor this trinomial:
there are no factors of 6 that would add to -33 so we can use the quadratic formula to solve: (-b ± √b²-4ac) / 2a
a = 7
b = -33
c = 6
[33 ± √(-33)² - 4(7)(6)] / 2(7)
(33 ± √1089 - 168) / 14
(33 ± √921) / 14
(33 ± 30.35) / 14
(33+30.35) / 14 = 4.525
(33-30.35) / 14 = 0.189
Answer:
3, 4, and 5
Step-by-step explanation:
Given: We're looking for x, x+1, and x+2
Requirements: (x+1)+(x+2)=3(x)
Solve equation:
x+1+x+2=3x
2x+3=3x
3=x
This means the three consecutive integers are 3, 3+1, and 3+2 which is the same as 3, 4, and 5
Step-by-step explanation:
7x+3y=42.
y=-5x+30.
7x+3(-5x+30)=42
7x-15x+90=42
8x=42-90
-8x=-48
x=-48/-8
x=6
y=-5x+30
y=-5×6+30
=-30+30
y=0
(6,0)
