<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
Let's solve your equation step-by-step.<span>0=<span><span><span>13</span><span>x2</span></span>−3</span></span>Step 1: Subtract 1/3x^2 from both sides.<span><span>0−<span><span>13</span><span>x2 </span></span></span>= <span><span><span><span>13</span><span>x2</span></span>−3</span>−<span><span>13</span><span>x2</span></span></span></span><span><span><span><span>−1</span>3</span><span>x2 </span></span>= <span>−3</span></span>Step 2: Divide both sides by (-1)/3.<span><span><span><span><span>−1</span>3</span><span>x2 </span></span><span><span>− 1</span>3</span></span>=<span><span>− 3 </span><span><span>−1</span>3</span></span></span><span><span>x2 </span>= 9</span>Step 3: Take square root.<span>x=<span>±<span>√9</span></span></span><span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−3</span></span>Answer:<span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−<span>3</span></span></span>
Answer:
A
Step-by-step explanation:
Incorrect answers = 100-77=23
Percentage of 23 out of 100 is (23/100)*100 = 23%
Let’s let the number of nickels be x. Then the number of dime must be 33-x.then 5x+10(33-x)=240 5x+330-10x=240 330 5x=240 x5=90x=18
Answer: D: The model predicts that a person who does not walk each day will score about 48.1 on the test.
Step-by-step explanation:
Given: A psychologist collects data on the time, w, in minutes, people walk each day and their scores, t ,on a stress test.
She finds that there is a negative linear association between w and t that is best modeled by the equation 
.
When we put w=0 minutes, t=48.1
It implies that if any patient doesn't walk will score 48.1.
Hence, the model predicts that a person who does not walk each day will score about 48.1 on the test.
