One way to look at this is to make 2 equations and treat it as a set of equations. We will make the cost of a donut equal to x, and the cost of a coffee equal to y.
Harold's order:
4x + 2y = 4.08
Melinda's order:
2x + 3y = 3.92
To combine these equations, we need to cancel out either x or y:
4x + 2y = 4.08
<span>2x + 3y = 3.92
</span>
4x + 2y = 4.08
<span>4x + 6y = 7.84
</span>
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
We can now combine these equations:
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
-4y = -3.76
y = 0.94
Therefore the cost of a large coffee is $0.94. We can plug this into either original equation to find the cost of a donut.
<span>4x + 2y = 4.08
</span>4x + 2(0.94) = 4.08
4x + 1.88 = 4.08
4x = 2.20
x = 0.55
The cost of a donut is $0.55, and the cost of a large coffee is $0.94.
Answer:
1/4w -1
Step-by-step explanation:
(1/2w +3) -(1/4w +4) = w(1/2 -1/4) +(3 -4)
= 1/4w -1
_____
The distributive property applies. It is useful for distributing the minus sign and for collecting terms.
Answer:
There is no real solution
Step-by-step explanation:
If you are finding the square root of a number, it cannot be negative. No number can be multiplied by itself to get a negative number. Negative numbers multiplied with themselves make a positive number. Positive numbers are obviously going to stay positive. Therefore there is no square root of -9
The picture in the attached figure
we know that
the total capacity of the storage container=volume of a cone+volume of cylinder
step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³
step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³
total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³
the answer is1400 m³