1/2x + 42 = 4x
-1/2x -1/2x
------------------------
42 = 3.5x
/3.5 /3.5
------------------------
12 = x
the number is 12
explanation: 42 more than 1/2 of a number can be written as 1/2x + 42
four times a number can be written as 4x.
42 more than 1/2 of a number is equal to 4 times a number. So 1/2x + 42 = 4x.
Hope this helps :)
Let the number of hamburgers = h
Let the number of cheeseburgers = c
Now we translate the given information into equations.
"combined total of 770 [ham]burgers and cheeseburgers"
h + c = 770
<span>"there were 70 more cheeseburger sold than hamburgers"
</span><span>
</span><span>c = h + 70
</span><span>
</span><span>
</span><span>Our system of equations is
</span><span>
</span><span>
</span><span />h + c = 770
c = h + 70
The second equation is already solved for c, so we replace c of the first equation with h + 70.
h + h + 70 = 770
2h + 70 = 770
2h = 700
h = 350
Answer: 350 hamburgers were sold on Monday.
The number of ways of she can do it is 504 ways
<h3>What is permutation?</h3>
The formula for permutation is given as:
Permutation = 
Where:
- n is the total number of objects = 9
- r is the number selected = 3
Substitute into the formula
Permutation = 
P( 9, 3) = 
P( 9, 3) = 
P( 9, 3) = 504 ways
Thus, the number of ways of she can do it is 504 ways
Learn more about permutation here:
brainly.com/question/12468032
#SPJ1
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
Answer:
y=1/3x-6
Step-by-step explanation:
