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Daniel [21]
2 years ago
9

Solve for x. 10x – 79 = 2x + 49 x = [?]

Mathematics
2 answers:
Harrizon [31]2 years ago
7 0

Answer:

x = 16

Step-by-step explanation:

<u>Step 1:  Add 79 to both sides</u>

10x - 79 + 79 = 2x + 49 + 79

10x = 2x + 128

<u>Step 2:  Subtract 2x from both sides</u>

10x - 2x = 2x - 2x + 128

8x = 128

<u>Step 3:  Divide 8 from both sides</u>

\frac{8x}{8} = \frac{128}{8}

x = 16

Answer:  x = 16

8090 [49]2 years ago
7 0

*jjjjjjjjjjjjjjjjbbbjnjbbbbbbbbhfuh

Step-by-step explanation:

x=16

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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of
ella [17]

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
1 year ago
What is the average rate of change of the function on the interval from x = 1 to x = 2?
neonofarm [45]

x=1 f = 10(5.5)(1) = 55

x=2, f = 10(5.5)(2) = 110

110-55 = 55

2-1 =1

55/1 = 55

 average rate of change = 55

6 0
3 years ago
A baker had 24 boxes for donuts he ended up making 526 donuts and splitting them evenly between the boxes how many extra donuts
sertanlavr [38]

Answer:

The baker ended up with 22 extra donuts.

Step-by-step explanation:

Since the baker had 24 boxes and made 526 donuts, to split them evenly between the total number of boxes means that we need to divide the number of total donuts by the number of boxes:

526 ÷ 24 = 21 remainder of 22

Since 24 x 21 = 504 and 24 x 22 = 528 and the baker only made 526 donuts, then the most amount of donuts he can use to split them evenly with the total amount of 526 is 504.  526 - 504 = 22, so he has an extra 22 donuts that will not be in boxes.  


7 0
3 years ago
Charles has $87 in his checking account. He spent $14 and $17, then deposited $33. If he wants to buy a television that cost $18
tester [92]

Answer:

He need $99 more

Step-by-step explanation:

87-14-17=56+33=89

188-89=99

5 0
3 years ago
Read 2 more answers
75km/h compute in m/s
Vlad1618 [11]
75 * 1000/3600 = 20.8333333

You just need to multiply with 1000 to get m from km and divide by 3600 because you are converting hours in seconds.
8 0
3 years ago
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