The equation is true.
Work:
8 + 4 = 12
-5 + 7 = 2
So the equation can be rewritten as 12 = 2, which is not true. Therefore, the equation is false.
Alternative explanation:
8 + 4 = 12
-5 + 7 = 2
12 and 2 are not equal, so the equation is false.
Is the equation true, false or open? Explain.
8+4=-5+7
show your work
21 answers
Which ordered pair is a solution of the equation y=-11x+4? Make sure you show work!
(0, -7)
(-1, -7)
(1, -7)
d. (2, 26)
show your work
(0, -7)
(-1, -7)
(1, -7)
d. (2, 26)
show your work
To determine which ordered pair is a solution to the equation y = -11x + 4, we substitute the x and y values into the equation and check if it holds true.
For option (0, -7):
y = -11x + 4
-7 = -11(0) + 4
-7 = 4
This is not true, so (0, -7) is not a solution to the equation.
For option (-1, -7):
y = -11x + 4
-7 = -11(-1) + 4
-7 = 11 + 4
-7 = 15
This is not true, so (-1, -7) is not a solution to the equation.
For option (1, -7):
y = -11x + 4
-7 = -11(1) + 4
-7 = -11 + 4
-7 = -7
This is true, so (1, -7) is a solution to the equation.
For option (2, 26):
y = -11x + 4
26 = -11(2) + 4
26 = -22 + 4
26 = -18
This is not true, so (2, 26) is not a solution to the equation.
Therefore, the ordered pair (1, -7) is the only solution to the equation y = -11x + 4.
For option (0, -7):
y = -11x + 4
-7 = -11(0) + 4
-7 = 4
This is not true, so (0, -7) is not a solution to the equation.
For option (-1, -7):
y = -11x + 4
-7 = -11(-1) + 4
-7 = 11 + 4
-7 = 15
This is not true, so (-1, -7) is not a solution to the equation.
For option (1, -7):
y = -11x + 4
-7 = -11(1) + 4
-7 = -11 + 4
-7 = -7
This is true, so (1, -7) is a solution to the equation.
For option (2, 26):
y = -11x + 4
26 = -11(2) + 4
26 = -22 + 4
26 = -18
This is not true, so (2, 26) is not a solution to the equation.
Therefore, the ordered pair (1, -7) is the only solution to the equation y = -11x + 4.
A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the plumber to fix the leak?
show your work
show your work
The equation that relates the total cost of a leak repair c to the number of hours h can be represented as:
c = 65h
In this equation, c represents the total cost of the leak repair in dollars and h represents the number of hours it takes the plumber to fix the leak. Since the plumber charges $65 per hour, the total cost is found by multiplying the number of hours by the cost per hour, which is 65.
c = 65h
In this equation, c represents the total cost of the leak repair in dollars and h represents the number of hours it takes the plumber to fix the leak. Since the plumber charges $65 per hour, the total cost is found by multiplying the number of hours by the cost per hour, which is 65.
Solve for x:
2x=-6
show your work
2x=-6
show your work
To solve for x in the equation 2x = -6, you can divide both sides of the equation by 2.
2x / 2 = -6 / 2
This simplifies to:
x = -3
Therefore, x is equal to -3.
2x / 2 = -6 / 2
This simplifies to:
x = -3
Therefore, x is equal to -3.
Solve for x:
x+12=-15
show your work
x+12=-15
show your work
To solve for x in the equation x + 12 = -15, you can subtract 12 from both sides of the equation.
x + 12 - 12 = -15 - 12
This simplifies to:
x = -27
Therefore, x is equal to -27.
x + 12 - 12 = -15 - 12
This simplifies to:
x = -27
Therefore, x is equal to -27.
Solve for p:
8p – 3 = 13
show your work
8p – 3 = 13
show your work
To solve for p in the equation 8p - 3 = 13, you can begin by adding 3 to both sides of the equation.
8p - 3 + 3 = 13 + 3
This simplifies to:
8p = 16
Next, divide both sides of the equation by 8 to isolate p.
(8p) / 8 = 16 / 8
This simplifies to:
p = 2
Therefore, p is equal to 2.
8p - 3 + 3 = 13 + 3
This simplifies to:
8p = 16
Next, divide both sides of the equation by 8 to isolate p.
(8p) / 8 = 16 / 8
This simplifies to:
p = 2
Therefore, p is equal to 2.
Solve for j:
8j – 5 + j = 67
show your work
8j – 5 + j = 67
show your work
To solve for j in the equation 8j - 5 + j = 67, you can first combine like terms on the left side of the equation by adding the two terms with j.
8j + j - 5 = 67
This simplifies to:
9j - 5 = 67
Next, you can isolate the variable j by adding 5 to both sides of the equation.
9j - 5 + 5 = 67 + 5
This simplifies to:
9j = 72
Finally, divide both sides of the equation by 9 to solve for j.
(9j) / 9 = 72 / 9
This simplifies to:
j = 8
Therefore, j is equal to 8.
8j + j - 5 = 67
This simplifies to:
9j - 5 = 67
Next, you can isolate the variable j by adding 5 to both sides of the equation.
9j - 5 + 5 = 67 + 5
This simplifies to:
9j = 72
Finally, divide both sides of the equation by 9 to solve for j.
(9j) / 9 = 72 / 9
This simplifies to:
j = 8
Therefore, j is equal to 8.
Solve for x:
3(2x-5)=4x+33
3(2x-5)=4x+33
To solve for x in the equation 3(2x-5) = 4x + 33, you can begin by distributing the 3 to both terms inside the parentheses:
6x - 15 = 4x + 33
Next, you can gather the x terms on one side of the equation and constants on the other side by subtracting 4x from both sides:
6x - 4x - 15 = 4x - 4x + 33
This simplifies to:
2x - 15 = 33
To isolate x, you can add 15 to both sides of the equation:
2x - 15 + 15 = 33 + 15
This simplifies to:
2x = 48
Finally, divide both sides of the equation by 2 to solve for x:
(2x) / 2 = 48 / 2
This simplifies to:
x = 24
Therefore, x is equal to 24.
6x - 15 = 4x + 33
Next, you can gather the x terms on one side of the equation and constants on the other side by subtracting 4x from both sides:
6x - 4x - 15 = 4x - 4x + 33
This simplifies to:
2x - 15 = 33
To isolate x, you can add 15 to both sides of the equation:
2x - 15 + 15 = 33 + 15
This simplifies to:
2x = 48
Finally, divide both sides of the equation by 2 to solve for x:
(2x) / 2 = 48 / 2
This simplifies to:
x = 24
Therefore, x is equal to 24.
Solve for x (literal equations):
c = b – bx
show your work
c = b – bx
show your work
To solve for x in the equation c = b - bx, we can start by isolating the term with x on one side of the equation.
First, we can subtract b from both sides of the equation:
c - b = b - bx - b
This simplifies to:
c - b = -bx
Now, we can multiply both sides of the equation by -1 to eliminate the negative sign in front of x:
(-1)(c - b) = (-1)(-bx)
This simplifies to:
b - c = bx
Finally, to isolate x, we can divide both sides of the equation by b:
(b - c) / b = (bx) / b
This simplifies to:
(b - c) / b = x
Therefore, x is equal to (b - c) / b.
First, we can subtract b from both sides of the equation:
c - b = b - bx - b
This simplifies to:
c - b = -bx
Now, we can multiply both sides of the equation by -1 to eliminate the negative sign in front of x:
(-1)(c - b) = (-1)(-bx)
This simplifies to:
b - c = bx
Finally, to isolate x, we can divide both sides of the equation by b:
(b - c) / b = (bx) / b
This simplifies to:
(b - c) / b = x
Therefore, x is equal to (b - c) / b.
Complete the table and state the rule.
show your work
show your work
I'm sorry, but I cannot generate or complete a table as I am a text-based AI model. However, if you provide the incomplete table or specific values, I can help guide you through the process and explain the rule.
Complete the table and state the rule
input 0,blank,2,3,blank,5,6
output 0,3,blank,9,blank,15,blank
show your work
input 0,blank,2,3,blank,5,6
output 0,3,blank,9,blank,15,blank
show your work
Using the given input-output pairs, we can complete the table as follows:
input | output
---------------
0 | 0
1 | 3
2 | 6
3 | 9
4 | 12
5 | 15
6 | 18
To determine the rule or pattern, we can observe that for each input value, the output is three times the input. Therefore, the rule for this table is y = 3x, where y represents the output and x represents the input.
input | output
---------------
0 | 0
1 | 3
2 | 6
3 | 9
4 | 12
5 | 15
6 | 18
To determine the rule or pattern, we can observe that for each input value, the output is three times the input. Therefore, the rule for this table is y = 3x, where y represents the output and x represents the input.
1 answer