You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
If I am wrong I am sorry >_<
Answer:
Jennifer's speed is 2.4 miles/hour
Kamlee's speed is 2 miles/hour
Step-by-step explanation:
To find their speed,
Speed can be determined from the formula below,

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)
For Jennifer,
Distance = 4/5 miles
Time = 20 mins (Convert to hour)
∴Time = (20/60) hour = 1/3 hour
Hence,




Hence, Jennifer's speed is 2.4 miles/hour
For Kamlee,
Distance = 5/6 miles
Time = 25 minutes (Convert to hour)
Time = (25/60) hour = 5/12 hour
Hence,




Hence, Kamlee's speed is 2 miles/hour
-8y = -2x + 16
y = 1/4x - 2
y = 1/4x + 3
Point form : (1, -2)
equation form: x=1, y= -2
Answer:
It is C, the metric system