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julia-pushkina [17]
3 years ago
11

9. Simplify the expression: 4a + 8 - 2a – 4 + 7b.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

2a + 7b + 4

Step-by-step explanation:

4a + 8 - 2a - 4 + 7b

<u><em>Group like terms</em></u>

4a - 2a + 7b + 8 - 4

<u><em>Add similar elements (4a - 2a)</em></u>

2a + 7b + 8 - 4

<u><em>Add/Subtract (8 - 4)</em></u>

2a + 7b + 4

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Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
Andrea was watching her brother in the ocean and noticed that the waves were coming into the beach at a frequency of 0.367347 Hz
anygoal [31]

Answer:

<u>18 waves</u> hit the beach in 49 s.

Step-by-step explanation:

Given:

The frequency of the waves that were coming into the beach is 0.367347 Hz.

Now, to find the number of waves that hit the beach in 49 s.

Let the number of waves be n.

The frequency of waves (f) = 0.367347 Hz.

The time it takes to hit the beach (t) = 49 s.

Now, we put formula to get the number of waves:

f=\frac{n}{t} \\\\0.367347=\frac{n}{49} \\\\Multiplying\ both\ sides\ by\ 49\ we\ get:\\\\18.000003=n\\\\n=18.000003.

<u><em>The number of waves = 18.</em></u>

Therefore, 18 waves hit the beach in 49 s.

8 0
4 years ago
Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
Pachacha [2.7K]

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

6 0
3 years ago
3y+3 (1-y)-y=-6PLEASE help
Murrr4er [49]
3y+4+3y-y=-6
6y-y+4=-6
5y+4=-6
5y=-10
y=-2
If you have any questions let me know
7 0
3 years ago
The manager of a store marks up all items by 15%. If x is the original price, what is the new price with the mark up?
Crank

Answer:

x + 0.15x = OP

Step-by-step explanation:

OP= Original Price

3 0
3 years ago
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