Parallel lines have the same slope but different y intercepts
Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
-10=-4+B
add 4
-6=B
Y intercept= -6
slope; 4
Answer:
243,000 people
Step-by-step explanation:
First, what we need to do is to calculate the area of the region using the 5-mile radius
Mathematically, we can calculate this as the area of a circle
Area = pi * r^2
Our r here is 5 miles
Area = pi * 5^2 = pi * 25 = 78.54 square miles
Now to get the population, we know that per square mile we have 3,100.
Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people
To the nearest thousand, 243,000
Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
__
If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
<h3>
Number of pounds of long grain</h3>
Let x represent number of pounds of long grain
6.45×59+3.95x=(59+x)×4.95
380.55+3.95x =292.05+4.95x
380.55–x =292.05
-x=292.05-380.55
-x = -88.5
x = 88.5 pounds of long grain
OR
6.45×59+3.95x=(59+x)×4.95
x=(6.45-4.95)×59
x=1.5×59
x=88.5 pounds of long grain
Therefore If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
Learn more about Number of pounds of long grain here:brainly.com/question/10618309
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