Answer:
J=15t+50
Step-by-step explanation:
The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.
The equation becomes: J=15t+50
To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.
Checking t=0:
J=15(0)+50=0+50=50
Checking t=1:
J=15(1)+50=15+50=65
Checking t=2:
J=15(2)+50=30+50=80
The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left

Dividing both sides by 10

There are 514 gram rice in each container.
Keywords: linear equation, division
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<u>Step-by-step explanation:</u>
Here , we have In August, Cory begins school shopping for his triplet daughters. One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each. He spent a total of $135.97. We need to find What does d equal . Let's find out:
One day, he bought 10 pairs of socks for $2.50 each
Following is the equation for this info:
⇒ 
⇒ 
3 pairs of shoes for d dollars each
Following is the equation for this info:
⇒ 
⇒ 
He spent a total of $135.97
Following is the equation for this info:
⇒ 
⇒ 
⇒ 
⇒ 
Therefore ,
.
C
a ratio of 5 : 5 simplifies to 1 : 1, which basically means we require the midpoint of the line segment
using the midpoint formula
M = [
(0 + 20 ),
(15 + 0)] = (10, 7.5 )