74. Michelle can read 1.5 pages per minute. How

Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $60 per hour. The mechan

Bess [88]

Answer:

First mechanic: 12.8 hours & Second mechanic:12.8 hours

First mechanic made 832$ & Second mechanic made 768$

Hope this is right. If not I apologize and please let me know:)

Step-by-step explanation:

First you would do 65+60=125. You do this to find how much they charge together. Then you would take the amount of money they make and divide that from 125: 1600/125=12.8. Now that you have 12.8 you would plug that in for each mechanic: 65 times 12.8=832 and 60 times 12.8=768. Now you have the amount of money each mechanic made and the amount of hours they worked.

4 0

3 years ago

What is the inverse of g? <br> g(x) = 3/x+7

ikadub [295]

Given function :-

$\bf \implies g(x) = \dfrac{3}{x}+7$

To find its reverse , substitute y = g(x) .

$\bf \implies y = \dfrac{3}{x}+7$

Interchange x and y .

$\bf \implies x = \dfrac{3}{y}+7$

Solve for y .

$\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7}$

Replace y with f-¹(x) .

$\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}$

6 0

3 years ago

“the sum of -5 and -11, increased by 14”

Sedbober [7]

Answer:

-2

Step-by-step explanation:

add the -5 and -11, then add on to it the 14

8 0

3 years ago

a) Work out the next term in this sequence. 4 12 16 b) Describe the rule for continuing this sequence. 44 41 38 35 32 c) The seq

horsena [70]

Answer:

1. Next sequence = 20

2. Tn = 47 - 3n

3. Common number: 32

Step-by-step explanation:

Given

Sequence 1: 0, 4, 8, 12, 16

Sequence 2: 44, 41, 38, 35, 32

a. Write out the next sequence in (1)

The pattern followed by sequence 1 is that, each successive sequence is and addition of 4 to the previous sequence..

See observation below

4 = 0 + 4

8 = 4 + 4

12 = 8 + 4

16 = 12 + 4

Definitely, the next sequence will be 4 + the previous sequence.

Next sequence = 16 + 4

Next sequence = 20

2. The rule for continuing sequence 2

It'll be observed that sequence 2 follows an arithmetic progression.

To get the rule for continuing the sequence, the following data are needed.

I. The first term of the sequence.

This is often represented by letter a.

a = 44

II. The common difference.

This is the difference between two successive sequence

This is often represented by letter d.

d = 41 - 44 = -3

Or

d = 38 - 44 = -3

Using the arithmetic progression formula

Tn = a + (n - 1)d

By substituting 44 for a and -3 for d.

Tn = 44 + (n - 1)(-3)

Tn = 44 - 3n + 3

Tn = 44 + 3 - 3n

Tn = 47 - 3n

Hence, the rule for continuing the sequence is 47 - 3n where n is the current term of the sequence

III. Work out a number in common in both sequence

It'll be observed that the visible data of sequence 2 are bigger than that of sequence 1.

To get a common number, we have to extend sequence 1 until we arrive at a common number in both sequence

Sequence 1: 0, 4, 8, 12, 16

This becomes

Sequence 1: 0, 4, 8, 12, 16, 20, 24, 28, 32.....

32 is common in sequence (1) and (2).

If the sequence is extended, we'll arrive at another common number. But we have to stop, since we've arrived at a common number.

3 0

3 years ago

Given that a box has 4 blue marbles, 3 red marbles, and 5 yellow marbles, use the probability formulas to answer the following q

Blizzard [7]

Answer:

<h2>CHUPAPI MUNYNYO</h2>

Step-by-step explanation:

<h2>MESHEPO MESHEEPOO</h2>

7 0

3 years ago