Answer: The cost of 16 pencils and 10 notebooks is $5.84.
Explanation: You can solve this using linear systems:
Let X be the cost per pencil, and let Y be the cost per notebook.
(1) 7x+8y=4.15
(2) 5x+3y=1.77
Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.
Equation 1 now becomes:
(3) 35x+40y=20.75
Equation 2 now becomes:
(4) 35x+21y=12.39
Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!
(3)-(4)
19y=8.36
y=0.44
Now that you have the value of Y, substitute that value into either one of the equations to get X.
Substitute y=0.44 in (1)
7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09
Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.
Almost done lol...
To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.
To find the total price, add these values together!
1.44+4.40=5.84
Therefore, the cost of 16 pencils and 10 notebooks is $5.84.
Hope that helps シ
<span>1. First, label the axis on your graph, with units:
time on the x-axis, in units of hours;
distance on the y-axis, in units of miles.
2. Draw a graph of distance vs. time. Distance after the first hour = 69 miles, distance after the 2nd hour = 138 miles, etc.
3. Observe that this graph is a STRAIGHT LINE with constant slope. Therefore the relationship is PROPORTIONAL.
For every other kind of graph -- i.e. not a straight line -- the relationship is NON-PROPORTIONAL.
Hope this helps. </span>
Answer:-7d=13
7d=-13
d=-13/7
Step-by-step explanation:
Hope this helps!
Make sure to apply same operations to both sides.
1)First, understand that whatever your equation is it’s always gonna be less than 100, because she doesn’t wanna get more than 100 ft.
*>100
2) remember that Lainey already dropped 20 feet. The amount of minutes is your unknown variable (x)
3) so, note that the rate is 20 ft/minute. If you multiply 20 by the amount of minutes she has to descend (your unknown variable: x) you cancel out the “minutes” in the 20 ft/minute fraction.
(Ex. 20ft/min *multiply* x [unknown]minutes= 20ftx)
This is what you want since you need all of the terms to be the same unit to solve with algebra.
4) so, to put it all together you have, 20 times x (representing the unknown amount of minutes) plus 20 (representing the amount she has already fallen) is greater than 100
* 20x+20>100
216.05 is the answer because you have to divide $4,321 by 100, and multiply that by 5.
