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noname [10]
1 year ago
5

Which equation represents a line which is parallel to the line 8y-3x=-8

Mathematics
1 answer:
marin [14]1 year ago
7 0

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

y=\frac{3}{8}x\text{ + 8}

The above equation of the line is parallel to 8y - 3x = -8

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2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the
Natasha_Volkova [10]

Answer:

30396 fish.

Step-by-step explanation:

We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:

The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:

48000 - 48000 * 0.03

That is to say:

48000 * (1 - 0.03)

Now, depending on the year number it would be:

48000 * (1-0.03) ^ n

But how were 15 years n = 15, then:

48000 * (1-0.03) ^ 15 = 30396.057

The fish population would be 30396 fish.

7 0
3 years ago
Solve.
Serhud [2]

Answer:

Step-by-step explanation:

12.9 + 10.2x = 35.1

10.2x = 35.1 - 12.9

10.2x = 22.2

x = 22.2/10.2

x= 222/102 = 111/51

x= 2\dfrac{9}{51}

6 0
3 years ago
Read 2 more answers
Peggy is cutting a 20 foot roll of ribbon into 2 inch strips for her mother. If Peggy has already cut 42 pieces, how many more p
weeeeeb [17]
1 foot = 12 inches
20 feet = 20 x 12 =240 in.
42 x 2= 84 in.
240 - 84 = 156 in. already cut
240 - 156 = 84 in
84/2 = 41 pieces are left to be cut
3 0
4 years ago
Read 2 more answers
I still don't understand how to solve those kind of Geometry thing so please explain and show your work.
dybincka [34]
Alternate means they are on opposite sides of the transversal... 
Same side means they are on the same side of the transversal..
interior mean they are inside the parallel lines
exterior means they are on the outside of parallel lines.

If you have two parallel lines cut by a transversal there you know that the angles are either going to be supplementary or they are going to be congruent. Those are your only two choices.  Now you just have to decide which is which.

FEG and CBE are indeed supplementary but they don't have a relationship
CBE and DEB are same side interior angles because they are on the same side of the transversal and inside the parallel lines
Answer C is exactly what I said above, they just label B wrong to trick you
FEG and DEB are vertical angles because they are formed by the intersection of two lines and are non adjacent

So answer C would be correct
3 0
3 years ago
One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number
SVEN [57.7K]

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

6 0
3 years ago
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