Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)
Length of EH = EF + FG + GH
* EH = 4x + (3x-4) + (2x+3)
** EH = 7x + 2x - 1
***EH = 9x - 1
Yes, it is correct.
Answer:
line 1 intersects line 4
Step-by-step explanation:
If line 2 intersects 1 and 3, but 1 does not intersect 3, then lines 1 and 3 are parallel.
Similarly, if line 3 intersects lines 2 and 4, but 2 does not intersect 4, then lines 2 and 4 area parallel.
If 1 and 3 are parallel, and 2 and 4 are parallel, then the fact that 2 intersects 3 means 1 intersects 4.
We can create equations to solve this.
2.50p + 1.50m = 29.50
p + m = 15
Solve for a variable in the 2nd equation and use the substitution method to solve.
p + m = 15
Subtract p to both sides:
m = -p + 15
Plug in -p + 15 for m in the first equation.
2.50p + 1.50(-p + 15) = 29.50
Distribute:
2.50p - 1.50p + 22.50 = 29.50
Combine like terms:
p + 22.50 = 29.50
Subtract 22.50 to both sides:
p = 7
Now plug this into any of the two equations and solve for the other variable.
p + m = 15
7 + m = 15
Subtract 7 to both sides:
m = 8
So he purchased 7 pineapples and 8 mangos.
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
<u>Step 1: Distribute</u>
21 + 40(2x - 3)
21 + 80x - 120
<u>Step 2: Combine like terms</u>
21 + 80x - 120
80x - 99
<u>Step 3: Solve for x</u>
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80
