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densk [106]
2 years ago
10

A ride-sharing company charges $6 per mile plus a $10 surcharge during peak hours. Suppose Manish’s ride during peak hours costs

$22. To determine how many miles he traveled during this ride, solve for x in the following equation: 6x + 10 = 22
Mathematics
1 answer:
nadya68 [22]2 years ago
7 0

Answer:

2 miles

Step-by-step explanation:

6X + 10 = 22

X = (22-10)/6 = 12/6 = 2 miles

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Sarah is a computer engineer and manager and works for a software company. She receives a
daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = a

Given that:

a_4=129\\a_{10}=207

Formula for n^{th} term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Where d will represent the number of projects increased every year.

and n is the year number.

a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)

Subtracting (2) from (1):

78 = 6d\\\Rightarrow d =13

By equation (1):

129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233

Each project pays $500

Earnings in the twelfth year = 233 \times 500 = $116500

Sum of an AP is given as:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \times 1938 = $969000

8 0
2 years ago
What is the answer to this question
densk [106]

Answer:

- 1, 1, - 3

Step-by-step explanation:

To obtain the value of f(1), we require the corresponding value of y from the graph when x = 1

From the graph

when x = 1 the value of y on the graph is - 1 ⇒ f(1) = - 1

Similarly

f(3) means what is the value of y corresponding to x = 3

From the graph when x = 3 then y = 1 ⇒ f(3) = 1

and f(- 1) = - 3

5 0
3 years ago
Read 2 more answers
What number is 2 tens and 5 ones more than 34
hammer [34]

Answer:

The answer is 59

Step-by-step explanation: so add 2 tens, 5 ones, and 34

2 tens = 20   5 ones = 5    34

20 + 5 + 34 = 59

4 0
3 years ago
Which expressions ere equivalent to x+x+x+2​
Andrei [34K]

3x + 2

since x + x + x is 3x.

Or you can be creative

(6x+4)/2

im just trying to hit the 20 chac minimum.

3 0
3 years ago
Read 2 more answers
Solve equation: 15=2y - 5(quickly please)
andrew11 [14]


15+5=2y-5+5

=20 = 2y

20/2 = 2y/2

10 = y

5 0
3 years ago
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