The correct option is a): "i<span>s independent of m</span>".
By the fundamental theorem of calculus:<span><span>A′</span>(m)=<span>1<span>3m</span></span>⋅3−<span>1m
</span> =0</span>
So the area doesn't change with respect to m.
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
A supermarket shop cans display consists of 5 levels of stacked cans. In the display, each level has 4 more cans than the level above it-the total number of cans in display are (b) 100
Step-by-step explanation:
Given that ,
The display consists of 5 levels of stacked cans- <u>which means that there are 5 levels in which the stacked cans are displayed .</u>
so,the no:of levels are 5
Now given that level has 4 more cans than the level above it.
so. the number of cans in a single level = 5*4=20
Now we know that the total number of level is 5 so we multiply 20 withe the number of levels of can stacked
==>20*5=100
<u>Thus we can say that the total number of cans in display are (b) 100</u>
y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car
<em><u>Solution:</u></em>
Let "y" be the total cost of car rental
Let "x" be the number of miles you drive the car for more than 100 miles
<em><u>A car rental firm has the following charges for a certain type of car:</u></em>
$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles
<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>
Therefore,
Car is rented for one day
You will use it for more than 100 miles
Therefore, equation is framed as:
Total cost = $ 25 + 0.15(number of hours)
Thus the equation for relating the cost y to the number of miles x that you drive the car
Answer:
let number of mile on monday be x
tuesday = 9/10 of x
wednesday = 9/20 of x
Step-by-step explanation:
tues = 90/100=9/10
wednes = 50/100 * 90/100 * x
wednes = 9/20 of x
