Answer:
each notebook costs $2.70
each pack of pencils costs $1.50
Step-by-step explanation:
system of equations:
let p = pack of pencils
let n = notebook
3p + 5n = 18
4p + 4n = 16.8
I used the elimination method by multiplying the first equation by 4 and the second equation by -3
4(3p + 5n = 18) = 12p + 20n = 72
-3(4p + 4n = 16.8) = -12p -12n = -50.4
adding the new equations together you get: 8n = 21.6
n = 21.6/8
n = $2.70
solve for 'p':
3p + 5(2.7) = 18
3p + 13.5 = 18
3p = 4.5
p = $1.50
The information given requires you to rework the formula as :
distance÷time=rate
so then plug in values to get
5÷2=rate
and the answer will be 2.5 as your rate
Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
Answer:
The tree diagram is shown below.
Step-by-step explanation:
The color of the four skittles Junior had in his bag are:
S = {red (R), blue (B), green (G) and yellow (Y)}
It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.
So, Junior has four options for the first draw, i.e. {R, B, G and Y}.
Then three options for the second draw. But the second draw is dependent on the first draw.
- If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).
- If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).
- If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).
- If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).
Consider the tree diagram below to better understand the information above.
Answer:
negatively charged
Step-by-step explanation: