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ddd [48]
3 years ago
12

Assign two variables for each problem, and write the equations. Solve.

Mathematics
1 answer:
Elza [17]3 years ago
7 0
Lets make k equal to Kate's age and j equal to Joey's age.  If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11.  Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out.  The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5   (you have to add the bottom equation to the top equation)
k+j=11     (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.
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elena-s [515]

Answer:

A = correct equation

x = 60

Step-by-step explanation:

__+ 65 = 125

x + 65 = 125

x = 60

60 + 65 = 125

Hope it helps!

3 0
3 years ago
In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?
mestny [16]
<u>Work 1:</u>
   Successful Percent:

     15 divided by 20 equals .75
     .75 times 100 is equal to 75
     75%
   Not successful Percent:
     
100% minus 75% equals 25%
     <em>25%</em>
<u>Work 2:</u><u />
     20 minus 15 equals 5
     5 divided by 20 is equal to .25
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7 0
3 years ago
What is always the smallest positive factor of any positive integar?​
Ulleksa [173]

Answer:

1

Step-by-step explanation:

The smallest positive factor is 1

But not 0 because 0 is not positive nor negative

4 0
3 years ago
The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?
kipiarov [429]
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5

Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
5 0
3 years ago
Find the volume with the explanation if possible &lt;3​
stellarik [79]

Answer: 905 cu. in.

Step-by-step explanation:

volume = (4/3) * π * r³

= (4/3) * π * 216

7 0
3 years ago
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