The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the
2 answers:
We are given points (30,4) , (60,8) and (90,12)
To calculate the rate per minute at which the air freshener dispenses sprays,
we can use two points to find slope.
The formula for slope is given by :
let us use two points (60,8) and (90,12) to find the slope,
Slope = 4/30
So the rate per minute at which the air freshener dispenses sprays is 4/30.
So first option is correct answer .
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Answer: 40%
Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.
To find the percent increase, we use the following formula.
The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.
140/100 simplifies to 0<em>.</em>4.
Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.
Therefore, the percent increase is 40%.
Answer:
Number of units of first product = 112
Number of units of second product = 400
Step-by-step explanation:
Given that there are two products which are to be shipped.
<em>First product details:</em>
Unit volume = 10 cu ft
Weight of one unit = 50 lb
<em>Second product details:</em>
Unit volume = 3 cu ft
Weight of one unit = 40 lb
Total volume that can be carried by a truck = 2320 cu ft
Total weight that can be carried by a truck = 21600 cu ft
To find:
The number of units of each product that can be transported in one shipment in the truck?
Solution:
Let number of units of first product =
Let number of units of second product =
We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.
As per question statement, the equations can be written as:
Multiplying equation (2) with 2 and subtracting equation (1) from it:
By equation (1):
Answer is:
Number of units of first product = 112
Number of units of second product = 400
Answer: Ernie has $750 and Bert has
Step-by-step explanation:
Let the amount that Ernie has be 'x'.
Let the amount that Bert has be
Amount lost by Ernie = $225
Amount gained by Bert = $675
According to question, we get that
Hence, Ernie has $750 and Bert has