Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is 
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.
Add -12 to both sides:
Divide both sides by 2
Hence Jeff mows 9 yards of lawn in 30 minutes.
Answer: The constant of proportionality is 8 for the the problem on your left! The constant of proportionality for the one on you right is 6! Hope this helps!
Step-by-step explanation: Vincent earned $24 for 3 hours and so you find out how much he gets paid for 1 hour, then you divide 24 by 3 and get 8! Later he earned $72 for 9 hours, and you do the same thing which is to divide 72 by 9 which also give you 8 and so your unit rate or constant of proportionality is 8. So for the other one Justene can bike for 12 miles in 2 hours and so you find out how many miles she can bike for 1 hours and so you divide 12 by 2 which give you 6 and she can bike 6 miles in 1 hour. Then she biked 36 miles in 6 hours and you divide 36 by 6 which give you 6 and so your constant of proportionality is 6!
The answer is 11.265408 km.
To calculate the number of kilometers, we will use several conversions:
A) 1 mi = 63,360 in
B) 1 in = 2.54 cm
C) 1 cm = 0.00001 km
A) 1 mi = 63,360 in
7 mi = 63,360 in · 7 = 443,520 in
B) 1 in = 2.54 cm
443,520 in = 2.54 cm · 443,520 = 1,126,540.80 cm
C) 1 cm = 0.001 km
1,126,540.80 cm = 0.00001 km · 1,126,540.80 = 11.265408 km
Answer:
B
Step-by-step explanation:
We dont know rules about rotating a point. We only know rules about rotating about the orgin.
We can translate this line segment so point c is on the orgin because
- A translation is a rigid transformation
- We also know rotation rules about the orgin.
Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?
A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:
Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.
(x,y) goes to (y,-x).
So Point A prime is now at
(0,-1).
Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at
(1,2).
The area of the field where the length of each side is increased by 10% is 48.4 
.
Step-by-step explanation:
The given is,
A rectangle field has an area of 40
If one side of the field is 3 cm longer than the other side
The length of new area in each side is increased by 10%
Step:1
Let,
- One side of rectangle
- Other side of rectangle
From given.
- +3
Formula for area of rectangle,
40 = ( b+3) × b
40 = 
+ 3b
Solving the above the equation,
b = 5 cm
l = 8 cm
Step:2
If the area of rectangle increased by 10%,
l = 8 + ( 8 × 
)
= 8.8
b = 5 + ( 5 × )
= 5.5
Area of rectangle is,
a = ( 8.8 × 5.5 )
= 48.4 square centimeters
Result:
The area of the field where the length of each side is increased by 10% is 48.4 , if a rectangle field has an area of 40 square centimeters and one side of the field is 3 cm longer than the other side.
