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
Answer:
i think it's an orca-dontist
Step-by-step explanation:
not sure tho i remember that joke from somewhere, math page jokes are always cringey
hope that helps :)
Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
3rd option: 60 degrees
Step-by-step explanation:
We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.
Let x be the internal angle,
Then
x+135 = 180
x = 180-135
x = 45 degrees
So now we know that two interior angles of the triangle.
Also we know that sum of all internal angles of triangle is 180 degrees.
Using the same postulate:
A+B+C = 180
75 + B + 45 = 180
120+B = 180
B = 180 - 120
B = 60 degrees
So,
third option is the correct answer ..
The answer is B. You add all the numbers together and divide by the amount of numbers you have to find the mean. The missing height is 62 because 54+57+59+63+66+68+70+58=563
563/9 (amount of numbers you have including the missing height) = 63
