Answer:
(a)There are 24 cakes in total
(b)There are 15 pieces of cakes left
Step-by-step explanation:
Let the total cakes=x
Let number of cakes eaten by Mindy=m
Let number of cakes eaten by Troy=t
Now:
m=3
Since m+t=9
3+t=9
t=9-3=6
The Number of Pieces of Cake Left in Total=x-(t+m)
Since Troy had of the total cake
x=6X4=24
(a)There are 24 cakes in total
(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes
95141 1404 393
Answer:
- arc BC: 8.55 cm
- chord BC: 8.03 cm
Step-by-step explanation:
The length of an arc that subtends central angle α will be ...
s = rα . . . . where α is in radians
The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...
s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC
__
For central angle α and radius r, the chord subtending the arc is ...
c = 2r·sin(α/2)
c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB
They are opposites. since |-3| has the lines around it, this represents absolute value, which is not positive or negative but how far away the value is from 0. the plain -3 remains the same. |-3| is 3, because it is 3 units away from 0 on the number line.
Answer:
Step-by-step explanation:
I think you meant 3([7/5]x + 4) - 2(3/2 - [5/4]x). If that's the case, then identify the LCD: It is 20. Multiply both [7/5]x + 4 and 3/2 - [5/4]x by 20 and then divide the resulting expression by 20:
3(28x + 80) - 2(30 - 25x)
------------------------------------
20
Next, perform the indicated multiplication:
84x + 240 - 60 + 50x
----------------------------------
20
This simplifies to:
34x + 180 17x + 9
---------------- = ----------------
20 10
Next time, please share the answer choices.
Answer:
$302,500
Step-by-step explanation:
If cost (C) = $7, then Sales (S) = 37,500 units
If cost (C) = $15, then Sales (S) = 17,500 units
The slope of the linear relationship between units sold and cost is:
The linear equation that describes this relationship is:
The revenue function is given by:
The cost at which the derivative of the revenue equals zero is the cost that yields the maximum revenue.
The optimal cost is $11, therefore, the maximum revenue is: