To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.
To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5
Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.
So, you have delivered 5 paper plate packages and 10 utensil packages.
Answer:
9) 4
10) p¹⁵/q⁹
Step-by-step explanation:
9)
As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.
So divide 8 by 2 to get 4
10)
p(p⁻⁷q³)⁻²q⁻³
p(p¹⁴q⁻⁶)q⁻³ <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>
pq⁻³(p¹⁴q⁻⁶)
p¹⁵q⁻⁹
p¹⁵/q⁹ <em>(because x⁻ᵃ =1 /xᵃ)</em>
Answer:
87%
Step-by-step explanation:
We need to convert this fraction to a decimal. To do that, we divide 6 by 7. That gets us 0.85714285714. We need to round that to the nearest hundredth. That gets us 0.86. Now, we need to convert this to a percentage. To do that, we move the decimal two places to the right. That gets us 86. She rode her bike 87% of the days this week.
