9514 1404 393
Answer:
30
Step-by-step explanation:
We note that 6 animals in 12 minutes is half as many animals as minutes. So, in 60 minutes, Naomi can make 30 balloon animals.
With the sum of 99, we will get 50 pairs whole numbers. Why?
Let’s start with
0+ 99
1 + 98
2 + 97
3 + 96
4 + 95
5 + 94
6 + 93
7 + 92
8 + 91
9 + 90
10 + 89
………
……..
43 + 49
44 + 50
Therefore, if you’re going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99.
Hope this helps!
Answer:
Washing cars= 4 hours
Walking dogs= 10 hours
Step-by-step explanation:
You want to start by creating equations. So one thing we know is that he makes $9 an hour washing cars(x) and $8 walking dogs(y).
$9x+$8y=$116
The second Equation is based off of the hours worked. We know that he worked 6 hours more walking the dogs than he did washing cars, so we can take x(being the washing hours) and add 6 to it to equal y (the number of dog hours).
y=x+6
Now You plug what y equals into the first equation to solve for x.
9x+8(x+6)=116 Next distribute the 8 to each term.
9x+8(x)+8(6)=116
9x+8x+48=116 Add the like terms together (9x+8x)
17x+48=116 Subtract the 48 from both sides
-48 -48
17x=68 Now divide by 17 on both sides.
______
17 17
x=4 Finally we can take x and plug it back in to one of the equations in order to solve for y. I'm going to choose the second equation.
y=(4)+6
y=10
Answer:
The artist makes profits when n>8.18
that is when the number of necklaces exeeds 8.18
Step-by-step explanation:
Given
let the number of necklaces be n
booth rent= $135
The cost of materials for the necklaces = $4.5n
the selling price for all the necklaces =$12n
total expenses= booth rent+cost of material = $135+4.5n
profit = selling price -total expenses
12n > 135 + 4.50n
solving for n we have
12n=135 + 4.50n
12n+4.5n=135
16.5n=135
n=135/16.5
n=8.18
The artist makes profits when n>8.18
