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)
Responses
37<2n+24
37<2n+24
37≥2n+24
37 is greater than or equal to 2 n plus 24
24n+2≥37
24 n plus 2 is greater than or equal to 37
37>2n+24
37>2n+24
7 of 177 of 17 Items
Question
Solve for b in the following formula: A=1/2(a+b)
(1 point)
Responses
b=1/2A−a
b is equal to 1 half cap A minus A
b=1/2A+a
b is equal to 1 half cap A plus A
b=2A−a
b is equal to 2 cap A minus A
b=2A+a
b=2A−a
2(x−3) + 3x = 19
Step 1: 2x − 6 + 3x = 19
Step2: (2x + 3x) −6 = 19
Step 3: 5x − 6 = 19
Step 4: 5x −6 + 6 = 19 + 6
Step 5: 5x = 25
Step 6: x = 5
What property justifies going from step 3 to step 4?
The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if we have an equation and we add the same number to both sides of the equation, the equation remains true. In this case, adding 6 to both sides of the equation allows us to isolate the variable on one side and simplify the other side of the equation.
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)
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Identify the property used to arrive at Step 1: Response area
What Step includes a mistake from the previous step? Response area
What should have been the correct answer for x?
The property used to arrive at Step 1 is the Distributive Property, which states that for any numbers a, b, and c, a(b + c) = ab + ac.
The mistake is in Step 4. The correct equation is 3x = 15, not 3x = 25.
The correct answer for x is x = 5.
Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate how many minutes (m) will it take her to only have 30 weeds remaining in the garden?(3 points)
Equation:
Solution:
Meaning of the solution in words:
Equation: 250 - 5m = 30
Solution:
250 - 5m = 30
Subtract 250 from both sides:
-5m = 30 - 250
-5m = -220
Divide both sides by -5 to solve for m:
m = -220 / -5
m = 44
Meaning of the solution in words: It will take Grandma 44 minutes to only have 30 weeds remaining in the garden.
The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
(2 points)
Responses
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.
First step is to add 32 to both sides.
First step is to add 32 to both sides.
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.