<span>We will use s for the cost of a small candle and m for the cost of a medium candle.
(a)
The candles and price for Jin can be written as:
3s+1m=$3.85
The candles and price for Trish can be written as:
4s+5m=$10.45
The system of equations that we have is:
</span>3s+1m=$3.85
4s+5m=$10.45
(b)
We will use substitution to solve this problem.
From the first equation we can find out m:
3s+1m=$3.85
1m=$3.85-3s
Now we insert this into second equation and we solve it for s:
4s+5($3.85-3s)=$10.45
4s+$19.25-15s=$10.45
-11s=-8.8
s=$0.8
Now we can find m:
m=$3.85-3*$0.8
m=$3.85-$2.4
m=$1.45
(c)
The candles and price for Jin can be written as:
2s+1m=price
We can insert values for s and m:
2*$0.8+$1.45=price
price=$1.6+$1.45
price=$3.05
To solve this equation from the information given above, I ordered it 5x+12=8x. To solve, I subtracted 5x from each side, canceling the 5x to your left, leaving only the number 12. 8x minus 5x equals 3x. Take 3x and divide on both sides. 3x/3x cancels the 3, leaving 12/3 equals 4. Finally, x equals 4.
Answer:
FE = 30°
Step-by-step explanation:
I got it right on my quiz :)
Hope this helps!
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √
(
x
₂ − x
₁
)² + (
y
₂ − y
₁
)
²
Substitute the actual values of the points into the distance formula.
√
(
4 − ( − 5
))
² + (
(
−
5
)
−
3
)
²
Simplify:
√
145
The result can be shown in multiple forms.
Exact Form:
√
145
Decimal Form:
12.04159457 … ≈ 12.04
Answer:
C
Step-by-step explanation:
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