Which value of x makes the equation true?x – 3.4 = 9.6
x =
Answers
Your final answer is x=13
x - 3.4 + 3.4 = 9.6 + 3.4
x = 9.6 + 3.4
x = 13
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Lauren bought 20 ounces of sliced ham. she used 3/4 of the ham to make sandwiches for her friends and 1/5 of the ham in an omelet. how many ounces of ham were left?What is the hidden question?What is the solution?
Do you know 3 prime numbers that equal 32
Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
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Answers
Associative property of addition
Final answer:
The expressions (13 + 14) + 11 and 13 + (14 + 11) both demonstrate the associative property of addition. Regardless of how the meals are grouped in the parentheses, the total cost of the meals remains the same at $38.
Explanation:
The question is asking you to create mathematical expressions using parentheses to show the combined cost of three friends' restaurant meals, whose prices are $13, $14, and $11. We can do this by using the associative property of addition, which states that the way in which numbers are grouped when being added does not change the sum.
The first expression could be (13 + 14) + 11, where the meals costing $13 and $14 are grouped together first. The sum of these two meals is $27, so if we then add the $11 meal, we get a total of $38.
The second expression could be 13 + (14 + 11), where the meals costing $14 and $11 are grouped together first. The sum of these two meals is $25, so if we add the $13 meal, we still get a total of $38.
This shows the associative property of addition because regardless of how the meals are grouped in the parentheses, the total cost remains the same.
Learn more about Associative Property here:
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Answers
graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3.
Part A: Using the graph above, create a system of inequalities that only contains points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.
Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A.
Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend.
Answers
Answer:
Part A: We have the points A = ( 1,3 ) , B = ( 3,1 ) and C = ( 3,-3 ).
We will first find the equation of line AB and AC.
Now, the slope of AB is .
So, substituting in y = mx + b along with the point ( 1,3 ) gives,
3 = -1 + b i.e. b = 4.
So, the equation of AB is y = -x + 4.
Further, slope of AC is .
Again, substituting in y = mx + b along with the point ( 1,3 ) gives,
3 = -3 + b i.e. b = 6
So, the equation of AC is y = -3x + 6.
Using 'zero test', we get that,
y = -x + 4 gives 0 = 4, which is not true.
y = -3x + 6 gives 0 = 6, which is not true.
Hence, the solution region will be away from the origin as shown in the figure 1 below.
Thus, we get the system y>-x+4 and y>-3x+6 containing point B and C.
Part B: We have the equations y = -x + 4 and y = -3x + 6.
Substitute the points B = ( 3,1 ) and C = ( 3,-3 ) into these equations respectively, we get,
y = -x + 4 gives y = -3 + 4 i.e. y = 1
y = -3x + 6 gives y = -3 × 3 + 6 i.e. y = -9 + 6 i.e. y = -3.
Hence, points B and C are the solutions of the system in Part A.
Part C: After plotting y>2x+5, we ca see from the second figure that the points included in the shaded region are D = ( -4,2 ) and E = (-1, 5).
So, Lisa is allowed to attend the schools D and E.
Roxanne has 1/2 as many beads as Sherie. The number of beads Sherie has is 4/5 that of Marcos. Marcos has 165 beads. How many more beads does Marcos have than Roxanne.
Answers
Roxanne has 1/2 of 132 = 66
Difference between Marcos and Roxanne:
165-66 = 99
Find 1/2 of that this equals Rixanne's amount and then u minus roxanne's from marco's
Answers
5a (6b + 12)
(5a * 6b) + (5a * 12)
30ab + 60a
And that is our answer.
5a (6b + 12) in expanded form is 30ab + 60a.
Hope that helped =)
5a*6b+5a*12
30ab+60a
This is the answer
Answers
Answer:
Ralph borrowed $11,000 from the government source and $9,000 from the private source.
Step-by-step explanation:
Let:
x = government loan
y = private loan
x + y = 20,000 ............................................ (1)
x = 20,000 - y ............................................. (2)
0.033x + 0.049y = 804 ............................ (3)
Substitute equation (2) into (3) for x, we have:
0.033(20,000 - y) + 0.049y = 804
660 - 0.033y + 0.049y = 804
0.016y = 804 - 660
0.016y = 144
y = 144 / 0.016 = $9,000
Substitute $9,000 for y in equation (2), we have:
x = 20,000 - 9,000 = $11,000
Therefore, Ralph borrowed $11,000 from the government source and $9,000 from the private source.