Add 21 to both sides, so you get 9z = 81
1: b=9
2: a= 24
3: c=17
4: b=10
Use a^2 + b^2 = c^2 to answer.
1: 12^2 (144) + b = 15^2 (225)
225-144 = 81
Square root 81 = 9
2: a + 49 = 625
625-49=576
Square root 576 = 24
3: 64 + 225 = 289
Square root 289 = 17
4: 576 + b = 676
676-576 = 100
Square root 100 = 10
To solve this problem, it is easiest to set up a system of equations. Let's let the variable s represent the cost of a shirt and the variable j represent the cost of jackets. According to the given information, we can set up the following equations (because cost multiplied by quantity yields price):
3s + 4j = 360
1s + 3j = 220
Next, we can manipulate the second equation so that it equals s in terms of j. We do this by subtracting 3j from both sides of the equation, as shown below:
s = 220 - 3j
After that, we should substitute in this value for the variable s in the first equation.
3(220-3j) + 4j = 360
Next, we should use the distributive property to simplify the left side of the equation.
660 - 9j + 4j = 360
Then, we should simplify the left side of the equation by combining like terms.
660 - 5j = 360
After, we can subtract 660 from both sides of the equation to get the variable term alone.
-5j = -300
Finally, we should divide both sides of the equation by -5 in order to get the variable j alone.
j = 60
Now that we know the value of the variable j, we should substitute this value into one of the original equations and solve using division and subtraction to isolate the variable.
3s + 4j = 360
3s + 4(60) = 360
3s + 240 = 360
3s = 120
s = 40
Therefore, the cost of one shirt is $40.
Hope this helps!
You multiply the whole number and the <span>denominator ( the bottom number in the fraction) and then add the answer of that to the numerator. Hope that helps! :) </span>
Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two
Step-by-step explanation: