A∩B={25, 45, 65}
A∩B=the elements that belong to both set A and set B
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected 1.5x + 1.25y=105.5
step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
x + y = 78
step 3) solve for y in the second equation
y = 78 - x
step 4) substitute y = 78 - x in the first equation for the value of y and solve for x
1.5x + 1.25(78 - x)=105.50
1.5 x + 97.5 - 1.25x=105.50
.25x = 8
x = 32
step 5) plug in our value for x in the second equation and solve for y
x+y=78
32+y=78
y=46
answer 32 hamburgers and 46 hot dogs
Make a rectangular box that is 7/8 foot long, and 3/5 foot wide, then you just multiply the two together, I'm not gonna do it all for ya.
Answer:
Let v = no. of students in a van
b = no. of students in a bus
5v + 6b = 393 7v + 6b = 411
9 students in each van 58 students in each bus
Step-by-step explanation:
Let v = no. of students in a van
b = no. of students in a bus
School A School B
(1) 5v + 6b = 393 (2) 7v + 6b = 411
Change all the signs in (1) to get -5v - 6b = -393
Add that to (2) 7v + 6b = 411
<u>-5v - 6b = -393</u>
2v = 18
v = 9 students in each van
Substitute 9 in for v in (1) and we get 5(9) + 6b = 393
45 + 6b = 393
6b = 348
b = 58 students in each bus
Step-by-step explanation:
step 1. the area of a circle is A. A = (pi)r^2.
step 2. if the diameter is 8 cm then the radius is 4 cm.
step 3. A = (pi)4^2
step 4. A = 16(pi) = 50.24 cm.