Tell whether the equation is true, false, or open.
77 + (-9) = 86
Part 1
Classify the equation. Choose the correct answer below.
true, false, or open?
The equation is true.
Determine if the given value is a solution to the equation.
7x - 2 = 10; x = 1
Is x = 1 a solution of the equation 7x - 2 = 10?
Yes or No?
Yes
Determine if the given value is a solution to the equation.
-6b + 2 = 5; 1/3
Is b = 1/3 a solution of the equation -6b + 2 = 5
No
An athlete trains for 85 min each day for as many days as possible. Write an equation that relates the number of days d that the athlete spends training when the athlete trains for 425 min.
Enter an equation where any numbers represent numbers of minutes.
[ ]
(Type an equation using d as the variable. Do not simplify. Do not evaluate.)
The equation is:
d * 85 = 425
Use mental math to find the solution of the equation.
16 + d = 24
d = [ ]
d = 8
Use a table to find the solution of the equation.
8a - 15 = 17
a = [ ]
To find the solution of the equation using a table, we can substitute different values of 'a' and determine when the equation is satisfied.
Let's create a table using different values of 'a':
| a | 8a - 15 |
|---|---------|
| 0 | -15 |
| 5 | 25 |
| 10 | 65 |
| 15 | 105 |
| 20 | 145 |
...
We can see that as 'a' increases, the value of 8a - 15 also increases. We are looking for the value of 'a' when 8a - 15 equals 17. From the table, we can see that when 'a' is approximately 5, 8a - 15 equals 17.
Therefore, the solution is a = 5.
that was incorrect
Apologies for the incorrect response. Let's try to find the correct solution.
Given equation: 8a - 15 = 17
To find the value of 'a', we can solve the equation algebraically:
8a - 15 = 17
Adding 15 to both sides:
8a = 32
Dividing both sides by 8:
a = 4
Therefore, the solution to the equation 8a - 15 = 17 is a = 4.
Use a table to find the solution of the equation. If the solution lies between two consecutive integers, identify those integers.
2.1 = 2n - 4
If the solution is an integer, type this integer. Otherwise, type the two consecutive integers between which the solution lies.
[ ] (Use a comma to separate answers as needed.)
To find the solution to the equation 2.1 = 2n - 4, let's create a table using different values of 'n':
| n | 2n - 4 |
|---|--------|
| 0 | -4 |
| 1 | -2 |
| 2 | 0 |
| 3 | 2 |
| 4 | 4 |
...
From the table, we can see that as 'n' increases, the value of 2n - 4 also increases. We are looking for the value of 'n' when 2n - 4 equals 2. From the table, we can see that when 'n' is approximately 3, 2n - 4 equals 2.
Therefore, the solution to the equation 2.1 = 2n - 4 is n = 3.
Tell whether the equation has the ordered pair as a solution.
y = 9x; (7,63)
Is (7,63) a solution of the given equation?
No
yes?
Yes, the ordered pair (7, 63) is a solution of the equation y = 9x.
Tell whether the equation has the ordered pair as a solution.
y = 4x;(5,28)
Is (5,28) a solution of the given equation?
No
Yes
No
Decide whether the ordered pair (- 2, -4) is a solution of the equation.
y = 2x
is (- 2, -4) a solution to y = 2x?
No
Yes
Yes
Use a table, an equation, and a graph to represent the relationship below.
Ty is 6 years younger than Bea.
Question content area bottom
Part 1
Complete the table below.
Ty's and Bea's Ages (years)
Ty's Age 1 2 3 4 5
Bea's Age [ ] [ ] [ ] [ ] [ ]
To complete the table, we know that Ty is 6 years younger than Bea. Let's fill in the ages:
| Ty's Age | Bea's Age |
|----------|-----------|
| 1 | 7 |
| 2 | 8 |
| 3 | 9 |
| 4 | 10 |
| 5 | 11 |
From the table, we can see that for each value of Ty's age, Bea's age is 6 years more than Ty's age.
Let x represent Ty's age and y represent Bea's age. Choose the correct equation below.
A. x + y = 6
B. y = x - 6
C. y = 6x
D. y = x + 6
B. y = x - 6
this was incorrect
Apologies for the incorrect response. Let's determine the correct equation.
Since Ty is 6 years younger than Bea, we can represent this relationship using the equation:
Ty's Age + 6 = Bea's Age
Let's denote x as Ty's Age and y as Bea's Age. The equation can be written as:
x + 6 = y
Therefore, the correct equation is: y = x + 6
Choose the correct graph below.
A.
0
10
0
20
Ty's Age
Bea's Age
x y graph
B.
0
10
0
20
Ty's Age
Bea's Age
x y graph
C.
0
20
0
20
Ty's Age
Bea's Age
x y graph
D.
0
10
0
20
Ty's Age
Bea's Age
C. 0 20 0 20
Ty's Age
Bea's Age
Make a table and draw a graph to show the relationship between the number of houses and the number of windows. What is the number of windows in houses?
Question content area bottom
Part 1
Complete the table below.
Number of Houses
1
2
3
Number of Windows
[ ] [ ] [ ]
Since the relationship between the number of houses and the number of windows is not specified, I cannot provide specific values for the table. Could you please provide the relationship or any information regarding how the number of houses relates to the number of windows?
Complete the table below.
Number of Houses 1 2 3
Number of Windows [ ] [ ] [ ]