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den301095 [7]
3 years ago
8

Moving company A charges you a flat rate of $30, plus $1 for every mile you move. Moving company B charges you a flat rate of $2

0, plus $2 for every mile you move. How many miles would you have to move so that each moving company would charge you the same total amount
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer: 10 miles

Step-by-step explanation:

Given that :

Company A:

Flat rate = $30

Charge per mile = $1

Company B:

Flat rate = $20

Charge per mile = $2

Let x = number of miles

Company A total :

30 + x

Company B total :

20 + 2x

Miles needed To get the same total :

30 + x = 20 + 2x

30 - 20 = 2x - x

10 = x

Hence, 10 miles will be moved

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8 t-shirts and a hat costs £42 3 t-shirts and a hat costs £17 how much does the hat and t shirt cost
cestrela7 [59]
17 + 5shirts = 42
5shirts = 42-17 = 25
1shirt = 25/5 = 5

A shirt costs £5.

3*5 + 1hat = 17
15 + 1hat = 17
1hat = 2

A hat costs £2
7 0
3 years ago
Directions:Use the product rule to simplify the following monomials.
abruzzese [7]

7) Answer = -24x^8y^{11}

\left(8x^4y^2\right)\left(-3x^4y^9\right)

=-8x^4y^2\cdot \:3x^4y^9

=-24x^4y^2x^4y^9

=-24x^8y^2y^9

=-24x^8y^{11}

8) Answer = -30y^6

2y\left(-5\right)y^2\cdot \:3y^3

=-30yy^2y^3

=-30y^{1+2+3}

=-30y^6

9) Answer = -6x^4y^5

\left(-2xy\right)\left(xy\right)\left(3x^2y^3\right)

=-2xyxy\cdot \:3x^2y^3

=-6xyxyx^2y^3

=-6x^4yyy^3

=-6x^4y^5

3 0
3 years ago
can you help me evaluate this: 7m + 14m - 6n - 5n + 2m. why do you add 6n with 5n instead of subtract?
Mademuasel [1]

Step-by-step explanation:

The reason is because it is not just 6 it is - 6 so when there are two negative numbers they don't subtract they add if it was 6n then it was to be subtracted

21m - 11n + 2m

23m - 11n

6 0
3 years ago
What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?
anzhelika [568]

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

7 0
2 years ago
For the equation, decide if it is always true or never true.<br><br> 2(x + 3) = 5x + 6 − 3x
SCORPION-xisa [38]

Answer:

always true

Step-by-step explanation:

Given

2(x + 3) = 5x + 6 - 3x ← distribute left side

2x + 6 = 2x + 6

Since both sides are equal then any real value of x is a solution.

Thus the equation is always true

3 0
2 years ago
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