Answer:
x=
1/2
and y=3
Step-by-step explanation:
Let's solve your system by substitution.
y=10x−2;2x+y=4
Step: Solvey=10x−2for y:
y=10x−2
Step: Substitute10x−2foryin2x+y=4:
2x+y=4
2x+10x−2=4
12x−2=4(Simplify both sides of the equation)
12x−2+2=4+2(Add 2 to both sides)
12x=6
12x
12
=
6
12
(Divide both sides by 12)
x=
1
2
Step: Substitute
1
2
forxiny=10x−2:
y=10x−2
y=10(
1
2
)−2
y=3(Simplify both sides of the equation)
Answer:
x=
1
/2
and y
Answer:
$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.
Step-by-step explanation:
We are going to assume that a month has 30 days.
- First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.
- We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars
- He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66
- The problem doesn't tell us that there were unhappy customers that day so that amount is zero.
- We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.
Thus, the profit for that day is:
1600 - 1300 - 2.66 + 100 = 397.34
<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>
Sin 167 = 0.22495
cos 107 = -0.29237
cos 167 = -0.97437
sin 107 = 0.95630
(sin 167)(cos 107) - (cos 167)(sin 107)
(0.22495)(-0.29237) - ( -0.97437)(0.95630)
= 0.86602
hope this helps :)
Answer/explanation :
Step-by-step
subtract 15-8 you have 7 then take
10- ur answer is 7
10-7= 3