Answer:
See below
Step-by-step explanation:
Two pieces
x and x+1 must add to 16 ft
x + (x+1 ) = 16
2 x + 1 = 16
2x = 15
<u>x = 7.5 ft </u> and the other is x+1=<u> 8.5 ft </u>
Let x be number of pizza sold
Y be the number of sub solds
Equation 1
Y = x + 11
Equation 2 ( earned total $ 233)
5x + 3y = 233
Solving the equations simultaneously
X = 25 pizzas were sold
<span>Y = 36 subs were sold</span>
Answer:
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Test worth 80 points
Multiple-choice questions are worth 2 points
Short-answer questions are worth 4 points
Multiple-choice questions + Short-answer questions = 25
2. How many multiple-choice questions are there?
Let's solve this problem, this way:
m = Multiple-choice questions
s = Short-answer questions
Our equations system is:
m + s = 25
2m + 4s = 80
Solving for m in the 1st equation:
m + s = 25
m = 25 - s
Substituting m in the 2nd equation and solving for s:
2m + 4s = 80
2 * ( 25 - s) + 4s = 80
50 - 2s + 4s = 80
2s = 80 - 50
2s = 30
<u>s = 30/2 = 15</u>
Substituting s in the 1st equation and solving for m:
m = 25 - 15
<u>m = 10 </u>
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
n should be 8 according to mathmatical laws
