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dexar [7]
3 years ago
8

Make x the subject of this equation: ax+2=3x+b Please!! Thank you

Mathematics
1 answer:
Sidana [21]3 years ago
4 0
Simply just isolate x to the left on its own first.
ax+2=3x+b
    -2        -2
ax=3x+b-2
-3x  -3x
ax-3x=b-2

Then factorise x out
x(a-3)=b-2

Ans: x = \frac{b-2}{a-3}
You might be interested in
What conversion factor do you use to convert 600 ft/min to inches per second?
mario62 [17]

Answer:

speed conversion. feet into inches and minutes into seconds.

120 inches/sec

Step-by-step explanation:

600 ft / min

youd multiply feet into inches and minutes into seconds

so since 12 inches are in a foot it would be 600 feet x 12 inches

and there are 60 seconds in a minute so 1 minute x 60 seconds

600 x 12 = 7200

1 x 60 = 60

now you divide 60 into 7200

7200 inches / 60 seconds = 120 inches per second

120 inches / second

8 0
3 years ago
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did s
Dmitry [639]

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

6 0
3 years ago
Highlight all expressions that represent a correct solution to the equation 6(x+4)=20. A: (20-4)6 B: 16(20-4) C: 20-6-4 D: 206-4
Ilya [14]

Answer:

(20 - 24)/6

Step-by-step explanation:

We have the algebraic expression

6(x + 4)= 20

We expand the brackets

6x + 24 = 20

Collect like terms

6x = 20 - 24

x = (20 - 24)/6

A correct solution to the expression is

(20 - 24)/6

8 0
3 years ago
If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.
il63 [147K]

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

3 0
4 years ago
The shortest distance between two points is what?
Genrish500 [490]
The shortest distance between two points would be a straight line
8 0
3 years ago
Read 2 more answers
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