8000 because 3 is less than 5 so you stay the same (which is 8)
The answer is -28. You simply plug in 4 into the x values (:
Let ab be a 2 digit number, then ab=10a+b, where a and b are digits, a≠0.
"the difference between the integer and the product of its two digits is 12"
10a+b - (a*b)=12
10a+b-ab=12
factorize b:
10a+b(1-a)=12
subtract 10 from both sides, to produce a factor (1-a) or (a-1) and then factorize:
10a-10+b(1-a)=2
10(a-1)+b(1-a)=2
(a-1)(10-b)=2
(a-1)(10-b) can be (1,2), (2, 1), (-1, -2), (-2, -1)
if a-1=1 and 10-b=2, then a=2, b=8
if a-1=2, and 10-b=1, then a=3, b=9
if a-1=-1, then a=0, which is not possible
if a-1=-2, then a=-1, which is not possible
so the solutions (a, b) are (2, 8) and (3, 9)
Then the integers are 28, 39
Answer: 28, 39
Answer:
9 small packs sold and 4 large packs sold
Step-by-step explanation:
Let's S be the number of small pack and L be the number of large pack. We have
S + L = 13 packs as the total number of hotdog packs
6S + 12L = 102 packs as the total number of hotdogs
We can divide both sides of the equation above by 6 then
S + 2L = 17
The subtract the S+L = 13 equation from this equation we get
S + 2L - S - L = 17 - 13 = 4
L = 4 packs
then S = 13 - 4 = 9 packs
So there were 9 small packs sold and 4 large packs sold
Answer:
900 at 12%
2100 at 10%
Step-by-step explanation:
Let x= amount invested at 12%
let y= amount invested at 10%
with that being said we can write the two equation
Equation 1: x+y=3000
Equation 2: 3000*.106=.12x+.1y
isolte x from equation 1
x= 3000-y
plug this into equation 2
318=.12(3000-y)+.1y
318=360-.12y+.1y
-42= -.02y
y= 2100
Plug this into equation 1
x+2100=3000
x=900
