The first step to solving a story problem is identifying variables. For this problem, I will identify the variables as:
D = Drew's age
J = Jimmy's age
Once the variables are identified, we need to find as many equations as we have variables. Since we have two variables, we will have to write two equations.
Since Drew is 3 years younger than Jimmy: D + 3 = J
Since the sum of the brothers' ages is 21: D + J = 21
Once I have two equations is two variables, I can solve the system using either substitution method or elimination method. For this problem, I will use substitution method.
D + J = 21 Equation 2
D + (D + 3) = 21 Substitution of value of J from equation 1 into equation 2
D + D + 3 = 21 Associative property of addition
2D + 3 = 21 Simplify
2D + 3 - 3 = 21 - 3 Subtract 3 from each side
2D = 18 Simplify each side
2D/2 = 18/2 Divide each side by 2
D = 9 Simplify each side
Now that we have D, we can substitute it into equation 1 to get the value of J
D + 3 = J Equation 1
9 + 3 = J Substitution
12 = J Simplify
Mid point of the points PQ is (₋0.3 , 3.25)
Given points are:
P(₋2 , 2.5)
Q(1.4 , 4)
midpoint of PQ = ?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.
The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.
Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)
we have two points:
P(₋2,2.5) = (x₁,y₁)
Q(1.4,4) = (x₂,y₂)
Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)
= (₋0.6/2 , 6.5/2)
= (₋0.3 , 3.25)
Hence we determined the midpoint of PQ as (₋0.3 , 3.25)
Learn more about coordinate geometry here:
brainly.com/question/7243416
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Answer:the first question on there is 23
Step-by-step explanation:28-5 equals 23
Answer:
Median is 114.5 (or 115 if rounded to nearest ten)
Mode is 144.
Mean is 110.
Step-by-step explanation:
First, you have to put the numbers from least to greatest.
62, 81, 103, 126, 144, 144
The median is the middle number but, in this number set, there are 2 numbers in the middle. When you have two numbers in the middle you add them both up and then divide by 2.
The mode is the number you see the most. 144 is the number you see the most.
To find the mean, add all the numbers and divide by how many numbers there are.
If you add them all together you get 660
660 divided by 6 is 110. Therefore, your mean is 110.