X = 1st integer, y = 2nd integer, z = 3rd integer
y = 2x
z = 2y......z = 2(2x)...z = 4x
y = x + 17
2x = x + 17
2x - x = 17
x = 17
y = 2x
y = 2(17)
y = 34
z = 4x
z = 4(17)
z = 68
and the sum would be : 17 + 34 + 68 = 119
Answer:
6ab + b^2 - 17a - 4b + 10
Step-by-step explanation:
-2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.
Algebraic Operations need to be considered:
[ (-) x (-) = (+); (-) x (+) = (-)]
= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]
= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b
Now, we will make the adjustment by the similarity value.
= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10
= - 17a - 4b + 6ab + b^2 + 10
= 6ab + b^2 - 17a - 4b + 10
Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10
Answer:
10.4 miles
Step-by-step explanation:
Write an equation for the total cost paid as a function of the # of miles driven:
L(x) = $6.75 + ($3.20/mile)x
and set this equal to $40.03 to determine the # of miles Lupita rode:
L(x) = $6.75 + ($3.20/mile)x = $40.03
Isolate the x term by subtracting $6.75 from both sides:
($3.20/mile)x = $40.03 - $6.75 = $33.28
Finally, divide both sides by ($3.20/mile):
x = $33.28 / ($3.20/mile)
= 10.4 miles
Lupita rode 10.4 miles in the taxi.
Answer:
He worked a total of 5 hours.
Step-by-step explanation:
The first hour the man makes $35 dollars for the first hour then for the other hours he earns $23 dollars, right? So we start off with 35.
35 = one hour.
35 + 23 = 2 hours . = 58.
35 + 23 + 23 = 3 hours. = 81.
35 + 23 + 23 + 23 = 4 hours. = 104.
35 + 23 + 23 + 23 + 23 = 5 hours. = 127.
We were looking for if the man earned $127 dollars how many hours would be be working.
He'd be working 5 hours.
Hope this helps (:
