<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
Answer:
<h2>The total number of outcomes is 8.</h2>
Step-by-step explanation:
We know that there are different golf balls, white and pink, orange and purple, yellow and red. There are three jars with two golf balls each.
If Kendall chooses one golf ball from each jar, the total number of balls selected would be 4. Now, there are two different colors per jar, and 8 total golf balls with different colors. But, the sets can't have repetitions, and the order matters.
Having said that, the total number of possible sets is:
- White, Orange, Yellow.
- White, Purple, Red.
- White, Orange Red.
- White, Purple, Yellow.
- Pink, Orange, Yellow.
- Pink, Purple, Red.
- Pink, Purple, Yellow.
- Pink, Orange, Red.
Notice that these eight outcomes includes all possible results.
Therefore, there are 8 possible outcomes.
Altogether Katrina and her seven friends equal eight. Eight divided by four is two cookies. The answer is 2.
Answer:
x - 5y = 5
Step-by-step explanation:
Let's represent the equation of the graph in slope-intercept form, y = mx + b.
We'd need to find slope (m) and y-intercept (b) of the graph.
Slope (m) = ∆y/∆x
Using two points on the line, (0, -1) and (5, 0),
Slope (m) = (0 - (-1)) / (5 - 0) = 1/5
m = ⅕
y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1
Therefore, b = -1
To write the equation, substitute m = ⅕ and b = -1 into y = mx + b
Thus:
y = ⅕(x) + (-1)
y = ⅕(x) - 1
Rewrite in standard form:
-⅕x + y = -1
Multiply both sides by -5
-⅕x*-5 + y*-5 = -1*-5
x - 5y = 5
The equation for the length is L=2W - 3. The perimeter is 48 cm and the equation for finding the perimeter is P = 2W + 2L. Substitute the formula of L into the formula for perimeter and solve algebraically:
The correct answer is A) length = 15cm; width = 9cm
