Which equation has the same solution for x as this equation: x−12=40 ?(1 point)
Responses
x4=13x over 4 is equal to 13
12−x=40 12 minus x is equal to 40
x+12=−40 x plus 12 is equal to negative 40
x2=14
x−12=40 can be rewritten as x = 52.
The equation that has the same solution for x is: 12−x=40.
he length of a rectangle is four meters less than twice its width.
If the area of the rectangle is 96 m^2, what is the length and the width?
(3 points)
An expression for the length of the rectangle in terms of the width would be ____________
The formula for the area of a rectangle is _____________
Using trial and error, if the area is 96 m^2, then the length and width are ______________
An expression for the length of the rectangle in terms of the width would be:
Length = 2w - 4
The formula for the area of a rectangle is:
Area = length × width
Using trial and error, if the area is 96 m^2, then the length and width are:
Length = 12 meters, Width = 8 meters
Match the equation with its solution(s).(5 points)
3(2i−7)=15
3i+5=3i+7
3i+5=2i−7
3(2i+7)=6i+21
3i+2i−7=18
1. 3(2i−7)=15
Solution: i = 11/6
2. 3i+5=3i+7
No solution. The equation is inconsistent.
3. 3i+5=2i−7
Solution: i = -12
4. 3(2i+7)=6i+21
Solution: i = 0
5. 3i+2i−7=18
No solution. The equation is inconsistent.
A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
(1 point)
The inequality that describes this scenario is:
2n + 24 ≤ 37
Solve for b in the following equation: A=1/2(a+b)
To solve for b in the equation A = 1/2(a + b), we can follow these steps:
1. First, multiply both sides of the equation by 2 to eliminate the fraction:
2A = a + b
2. Next, subtract 'a' from both sides of the equation to isolate 'b':
2A - a = b
Therefore, the solution for b is b = 2A - a.
A student solved the equation: x+2(x+1)=17
Step 1: x+2x+2=17
Step 2: 3x+2=17
Step 3: 3x=15
Step 4: x=45 (3 points)
Identify the property used to arrive at Step 1:
What step includes a mistake made from the previous step?
What should have been the correct answer for x ?