Answer:
5 months
Step-by-step explanation:
Jason's original weight = 120 pounds
Let the no. of months be m
If he gains 10 pounds in each moth , then his weight in m months will be = 10m
His total weight will be= 120+10m -----(1)
Gerardo's original weight = 150 pounds
If he gains 4 pounds in each month , then his weight in m months will me =4m
His total weight will be = 150+4m-----(2)
<u>Equating (1) ans(2)</u>
120+10m=150+4m
=>10m-4m=150-120
=>6m=30
=>m=
<u>=>m=5</u>
It will take 5 months for Jason to weigh the same as Gerardo
Answer:
She should order 96 orange shirts
Step-by-step explanation:
The picture is shown below.
From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.
If she assumes the trend is going to continue the number of orange she should order can be calculated below.
Let us find the ratio of orange shirt sold to the total colored shirt sold.
orange shirt sold / total colored shirt sold = 5/26
This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.
5/26 = x/ 500
cross multiply
2500 = 26x
divide both sides by 26
x = 2500/26
x = 96.15
x = 96 orange shirts
She should order 96 orange shirts
Slope = (10 - 5)/(-9 + 15) = 5/6
y = mx + b where m = slope and b = y-intercept
b = y - mx
b = 5 - (5/6) (-15)
b = 5 +12.5
b = 17.5
Equation y = 5/6 x + 17.5
Y-intercept = 17.5
X-intercept when y = 0
So
5/6 x + 17.5 = 0
5/6 x = -17.5
x = (-17.5) (6/5)
x = -21
Answer
Y intercept (0, 17.5 )
X intercept (-21 , 0)
The answer is 24 to the 4th power
Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
