<h3>
Answer: 7m+30</h3>
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Work Shown:
3(m+2) + 4(6+m)
3m+6 + 24 + 4m
(3m+4m) + (6+24)
7m+30
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Explanation:
In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6. A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.
We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.
Answer:
Step-by-step explanation:
8.8+3.5y-0.5(10y-5) = 8.8 + 3.5y - 0.5*10y - (-0.5)*5
=8.8 + 3.5y - 5.0y + 2.5
= 11.3 - 1.5y
Answer:
Step-by-step explanation:
Given
Solving (a): Multiplication sentence
Rewrite of as *
Solve
Hence, the multiplication sentence is:
Solving (b): Rectangular fraction model
In (a) above, the result is 2/5
The fraction model will be represented as thus:
- Draw a rectangle
- Partition in to 5 equal parts (5 represents the denominator)
- Shade 2 of the 5 partitions (2 represents the numerator)
<em>See attachment for model</em>
Answer:
The lines would be parallel because their slopes are the same and their y-intercepts are different.
Step-by-step explanation:
First, start with the two equations:
y = 7x + 15
y = 7x + 4
So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.
In this case, the lines are in slope-intercept form:
y = mx + b
so the slope is already given.
Slope of line 1 = 7x
Slope of line 2 = 7x
Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.
Answer 143
Explain: To find range you must Minus The Lowest Number From The Highest Out Of The Number Group
328 - 185 = Your Answer which is 143