<span>Let x=time required to mow the lawn if both work together
Then both work at the rate of 1/x lawn per min
fred works at the rate of 1/60 x
</span>Bullwinkle <span>at the rate of 1/90 x
</span>1/60 + <span>1/90 = 3/180 + 2/180 = 5/180 = 1/36
</span>
<span>rate of 1/x lawn per min so 1/36 =1/x
</span>
x= 36 min
fred mow <span>1/60 x = 1/60x36 =36/60= 9/15 of the lawn
</span><span>Bullwinkle mow 1/90 x 36 = 36/90 = 6/15 of the lawn </span>
Answer:
b = 0
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x + 17 is in this form with slope m = - 2
• Parallel lines have equal slopes, hence
slope of line through the 2 points is - 2
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)
m = = , hence
= - 2 ( cross- multiply )
- 2(b - 2) = 4
- 2b + 4 = 4 ( subtract 4 from both sides )
- 2b = 0 ⇒ b = 0
<h3>
The smallest number that satisfies the inequality 3x -1>2 is 2</h3>
Step-by-step explanation:
3x -1>2
⇔3x > 2+1
⇔3x > 3
⇔x>1
Therefore 2 is the first number that is grater than 1.
So,
The smallest number that satisfies the inequality 3x -1>2 is 2
(is/of) = (Percent/100) then cross multiply to solve
(31,300/x) = (7.6/100)
3,130,000= 7.6x ; divide by 7.6
x = 411842.1
round to 411,842