There are 5280 feet in a mile
There are 3600 seconds in an hour
to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600
40 * 5280 / 3600
this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second
Answer:
the answer is B. 3.75
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
I am assuming that your equation is:
Subtract 4 from both sides to get:
Square both sides to get:
Divide both sides by 8 to get:
<span>Answer: - (1/2)x + 2
Solution:
1) Table
</span>
<span><span>
</span><span><span>
x
y
</span>
<span>
-2
3
</span>
<span>
0
2
</span>
<span>
4
0
</span>
<span>
6
-1
The first thing that you must probe is whether the relation is linear.
When the relation is linear the rate of change is constant.
The rate of change is Δy / Δx
2) Let's calculate that rate for all the points given:
</span></span></span><span><span>
x
y
</span>
-2
3
<span>
0
2
</span>
<span>
---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2
4
0
---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2
</span>
<span>
6
-1</span></span> ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2
<span> </span>
So, we have shown that the relation is linear.
3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.
We already found m = -1/2
The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.
Therefore the equation is: y = (-1/2)x + 2.
To solve this problem, it is easiest to set up a system of equations. Let's let the variable s represent the cost of a shirt and the variable j represent the cost of jackets. According to the given information, we can set up the following equations (because cost multiplied by quantity yields price):
3s + 4j = 360
1s + 3j = 220
Next, we can manipulate the second equation so that it equals s in terms of j. We do this by subtracting 3j from both sides of the equation, as shown below:
s = 220 - 3j
After that, we should substitute in this value for the variable s in the first equation.
3(220-3j) + 4j = 360
Next, we should use the distributive property to simplify the left side of the equation.
660 - 9j + 4j = 360
Then, we should simplify the left side of the equation by combining like terms.
660 - 5j = 360
After, we can subtract 660 from both sides of the equation to get the variable term alone.
-5j = -300
Finally, we should divide both sides of the equation by -5 in order to get the variable j alone.
j = 60
Now that we know the value of the variable j, we should substitute this value into one of the original equations and solve using division and subtraction to isolate the variable.
3s + 4j = 360
3s + 4(60) = 360
3s + 240 = 360
3s = 120
s = 40
Therefore, the cost of one shirt is $40.
Hope this helps!