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2 years ago

The bill was $14.00. She left a 20% tip for the waitress. How much change did she get back from $20.00

1 answer:

3 0

20%=0.2
14*0.2 = 2.8 ( $2.80 is the tip she will be giving her)
$14+$2.80 = $16.80 ( what she will be giving in total)
$20-$16.80 = $3.20 (the change she will get back)

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Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di

aleksandr82 [10.1K]

He gave the driver a tip of $11.36

58.80*0.20 = 11.36

4 0

3 years ago

Read 2 more answers

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

2 years ago

The mariana trench in the pacific ocean is about 36,201 feet deep. the puerto rico trench n the atlantic ocean is about 27,493 f

sleet_krkn [62]

Do you know how to draw a bar graph?
Or model.
It's not something I can draw on this. But for purposes of helping you find how many feet deeper the Marina to the Puerto Rico trench

36,201 minus 27,493

8 0

3 years ago

Read 2 more answers

When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

shepuryov [24]

Hope it helps! If it is, Brainliest please!

7 0

2 years ago

Read 2 more answers

irinina [24]

Answer:

Step-by-step explanation:

Remark

f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.

Solution

f(-3) = 9*(-3^2) - 5*(-3) + 3 (-(3))^2 = -3 * -3 = 9 two minuses make a +

f(-3) = 9*(-3)(-3) + 15 + 3 -3 times an operation of minus equals a +

f(-3) = 9 * 9 + 15 + 3

f(-3) = 81 + 15 + 3

Answer: f(-3) = 99

8 0

1 year ago