Here's your answer to the first problem
Answer:
The answer is option 1.
Step-by-step explanation:
In order to simplify the expressions, you have to collect like terms :
3a² + 9ab + 5 - 4a² - 4ab + 3
= (3a² - 4a²) + (9ab - 4ab) + (5 + 3)
= -a² + 5ab + 8
Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
Answer:
$105.5 for 16 hours at $6.59 per hour
Step-by-step explanation:
form the equation given, G=h(t) + p(c)
where G=Gross pay,
h= hourly wage
t=time worked
p=percent tip
c=cost of customer meals
we determine the gross pay by first determining the independent variables
h=$4.25, t=16 hours,
if we substitute values, we arrive at
to determine the per hour gross pay we have
105.5/16
hourly gross pay,G=$6.59
Answer:
5x just means 5 times so, 5 times a number(or variable)plus three is less than 7 times a number variable)plus 7
