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ValentinkaMS [17]
2 years ago
14

A restaurant customer left ​$1.80 as a tip. The tax was 8% and the tip was ​20% of the cost including tax.

Mathematics
1 answer:
PtichkaEL [24]2 years ago
8 0

Answer:The bill before tax was $8.33

Step-by-step explanation: Divide tip by portion of bill:

1.80/0.20 = 9.00

The total bill before the tip was $9.00

Divide total bill by 1+ sales tax rate:

9.00 / 1.08 = 8.33

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Mark reads 42 pages of a book every 3/4 hour. Write an equation that models the relationships between x, the number of hours Mar
Illusion [34]

Answer:

The equation that models the relationships between x, the number of hours Mark reads, and , y the number of pages of the book he reads is:

y=56x

Step-by-step explanation:

Given:

Mark reads 42 pages every \frac{3}{4} hour.

The number of hours is given by = x

The number of pages is given by =y

The equation can be modeled as:

y=mx+b

where m represents rate of change and b represents the y-intercept or the initial value.

Rate of change ==\frac{Change\ in\ y}{Change\ in\ x}=\frac{42}{\frac{3}{4}}=42\times \frac{4}{3}=56

The initial value b=0 as Mark starts reading from 0.

So, the equation is:

y=56x

7 0
3 years ago
Give a written explanation for how to find the quotient of each of the problems listed below using one of the following methods:
prisoha [69]

Answer:

1. 48 divide by 4

Step-by-step explanation:

5 0
3 years ago
11x+4(2x+5)-18 will someone show the work and the answer
solong [7]
First do distributive property with the four and the parenthesis. that gets you 11x+8x+20-18. then add your x's and your numbers. that gives you 19x+2
6 0
3 years ago
The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.​
melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

  • The common ratio is: \mathbf{r = \frac{a + 5d}{a + d}}
  • The general term of the GP is: \mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

The nth term of an AP is:

\mathbf{T_n = a + (n - 1)d}

So, the <em>2nd, 6th and 8th terms </em>of the AP are:

\mathbf{T_2 = a + d}

\mathbf{T_6 = a + 5d}

\mathbf{T_8 = a + 7d}

The <em>first, second and third terms </em>of the GP would be:

\mathbf{a_1 = a + d}

\mathbf{a_2 = a + 5d}

\mathbf{a_3 = a + 7d}

The common ratio (r) is calculated as:

\mathbf{r = \frac{a_2}{a_1}}

This gives

\mathbf{r = \frac{a + 5d}{a + d}}

The nth term of a GP is calculated using:

\mathbf{a_n = a_1r^{n-1}}

So, we have:

\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

6 0
3 years ago
A dish has 212 bacteria in it. The population of the bacteria will grow ata rate of 80% every 2 days. How many bacteria will be
mr_godi [17]
If they are growing 80% for every twodays, it would be 40% for every one day.

Bacteria after 9 days = 212 * 9 * 40 / 100
= 763.2
To round up, the population of bacteria after 9 days would be 763, with a growth rate of 80% for every two days.
6 0
3 years ago
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