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serg [7]
3 years ago
10

Bianca works as a content writer for $ 10 an hour and as a library assistant for $ 14 an hour. This month, she worked a combined

total of 75 hours at her two jobs. Let c be the number of hours Bianca worked as a content writer this month. Write an expression for the combined total dollar amount she earned this month.
Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

It's given in the question,

  • Bianca works as a content writer for $10 per hour.
  • She works as a library assistant for $14 per hour.

She worked for a combined total of 75 hours for both the jobs this month.

Let c be the number of hours Bianca worked as a content writer.

Her earning for this month as a content writer = $10c

Her working hours as library assistant this month = (75 - c) hours

Therefore, her earning as a library assistant for the month = $14(75 - c)

By adding the earnings as a library assistant and a content writer for the month = $10c + $14(75 - c)

           = (10c - 14c) + 1450

           = $(9c + 1050)

    Therefore, expression for the combined total amount she earned this month will be $(9c + 1050).

Learn more,

brainly.com/question/196661

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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
Price of 1kg sugar is Rs. 100 calculate the price of 150g sugar?​
Wewaii [24]

Answer:Rs15

Step-by-step explanation:

150g=150/1000=0.15kg

1kg cost Rs100

0.15kg cost =100 x 0.15=15

150g cost Rs15

3 0
3 years ago
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.
hodyreva [135]

Answer:

m∠Y=50°

Step-by-step explanation:

So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.

If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.

Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.

Combine like terms: 3m∠Y-60=90.

Then you add 60 to both sides: 3m∠Y=150

Divide 3 on both sides: 3∠Y=50

7 0
3 years ago
Find the mean of each distribution.
Vanyuwa [196]

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

This set of data is presented as a <u>Dot Plot</u>.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}

<h3><u>Part (b)</u></h3>

This set of data is presented as a <u>stem and leaf diagram</u>, where the units and tenths are split.  The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}

4 0
2 years ago
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Aleks [24]
The answer is 9 gallons.

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6 0
3 years ago
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