X= cost per pizza
y= cost per soda
1ST VISIT TO RESTAURANT
x + 2y= $15.95
2ND VISIT TO RESTAURANT
3x + 5y= $45.90
STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.
-3(x + 2y)= -3(15.95)
multiply -3 by each term
(-3 * x) + (-3 * 2y)= (-3 * 15.95)
-3x - 6y= -47.85
STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.
3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y
-y= -1.95
divide both sides by -1
y= $1.95 per soda
STEP 3
substitute y value in either original equation to solve for x
x + 2y= $15.95
x + (2 * 1.95)= 15.95
multiple in parentheses
x + 3.90= 15.95
subtract 3.90 from both sides
x= $12.05 per pizza
CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90
ANSWER: Each pizza costs $12.05 and each soda costs $1.95.
Hope this helps! :)
For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.
[a] 50%
[b] 52%
The simple interest is calculated as :
S.I = P*T*R
where S.I is the simple interest to be calculated
P = Principal
T = Time period in years
R = Annual interest rate
The the above problem,
Amount borrowed which would be the principal (P) = $400
Time period = 6 months = 1/2 year
Annual interest rate = 6.8% = 6.8/100 = 0.068
Simple Interest = P*T*R
Simple Interest = 400*1/2*0.068 = 200 *0.068
Simple Interest = $13.6
The simple interest amount that Miguel must pay to Julio at the end of six months is $13.6
Answer:
-4
Step-by-step explanation:
1. 6v-10=2v-22-4
2. 4v-10=-26
3. 4v=-16
4. v=-4
