Answer:
i screenshoted the graph and equation in attached pic.
Step-by-step explanation:
Answer:
24 quarters
Step-by-step explanation:
step 1
Find out the total cost
Multiply the total hours by the unit rate of $2.00 per hour
so
step 2
To find out how many quarters Ben needs, divide the total cost by $0.25 (value of one quarter coin)
so
X represents the number of sodas
y represents the number of hot dogs
142 = x + y
x = 38 + y
Substitute x in the first equation
142 = 38 + y +y
142 - 38 = 2y
104/2 = 2y/2
y =52
x = 38 + 52
x = 90
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
Now divide both sides by 2
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
Property of addition I think