Answer:
slope=.083
c=4
h=-0.333..
Step-by-step explanation:
Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
Answer: old McDonald has 54 chickens and 2 cows.
Step-by-step explanation:
Let x represent the number of chickens that old McDonald have.
Let y represent the number of cows that old McDonald have.
He counted 56 heads. A chicken and a cow has one head each. It means that
x + y = 56
He counted 116 legs. A chicken has 2 legs and a cow has 4 legs. It means that
2x + 4y = 116 - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
2(56 - y) + 4y = 116
112 - 2y + 4y = 116
- 2y + 4y = 116 - 112
2y = 4
y = 4/2 = 2
x = 56 - y = 56 - 2
x = 54
Answer:
50 students
Step-by-step explanation:
20 + 30 = 50
Answer: The speed of Bob is 56.8 km/hr.
Step-by-step explanation:
Let the speed of Bob be 'x'.
Let the speed of John be 'x-8'.
Distance covered = 230 miles
time = 
According to question, we get that
Hence, the speed of Bob is 56.8 km/hr.
