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user100 [1]
1 year ago
7

6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will as

sign variables. b) Write an equation to represent the information in the first sentence. c) Write an equation to represent the information in the second sentence. d) Use the method of substitution to find the number of hours worked by each person.
Mathematics
1 answer:
prohojiy [21]1 year ago
7 0

Answer:

Samantha worked 26 hours and Adriana worked 13 hours.

Step-by-step explanation:

Let s = the number of hours that Samantha worked

Let a = the number of hours that Adriana worked

s = 2a

s + a = 39

2a + a = 39

3a = 39

a = 13

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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

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3 years ago
Given WRST is a parallelogram and
daser333 [38]
It would be a parallelogram 
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3 years ago
The cost for taking a taxi is $1.80 plus $0.10 per eighth of a mile. What is the cost of a ride that is 4.5 miles long?
Sergio039 [100]

Answer:

$1.80 + (8x$0.10)*4.5 = $5.40

Step-by-step explanation:

$1.80 base cost

$0.10 for an 8th of a mile, thus multiply by 8 = $0.80 per mile

So, $1.80 + (4.5 * $0.8) = $5.40

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3 years ago
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DaniilM [7]

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

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3 years ago
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dexar [7]

Answer:

a_n = 28-2n

Step-by-step explanation:

Given sequence is:

26,24,22,20

We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence

The standard formula for arithmetic sequence is:

a_n = a_1+(n-1)d

Here,

a_n is the nth term

a_1 is the first term

and d is the common difference

So,

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Putting the values of d and a_1

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Hence, the recursive formula for given sequence is: a_n = 28-2n ..

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