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4 years ago

still bought a t-shirt for $21 and a pair of shorts for $16 he paid with 20 bills how much money did Dale get back

Mathematics

1 answer:

Sphinxa [80]4 years ago

8 0

I would say three, because if you have $40 in 20 dollar bills, $21+$16=37. So then $40-$37=$3.

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3 years ago

4/5 m, if m = 10 HURRY!!

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3 years ago

Find the value of x A. 7 B. 6 C. 8 D. 14

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3 years ago

The submarine is at a depth of -116 2/7 feet when the scientists detect a signal frequency from the ocean floor. They dive farth

Lady_Fox [76]

Answer: $-64\frac{2}{7}\text{ feet}$

Step-by-step explanation:

When the scientists detect a signal frequency from the ocean floor, then the depth of submarine = $-116\frac{2}{7}$ feet

= $-\frac{814}{7}$ feet

When they dive farther to check the signal, then the depth of the submarine= $-180\frac{4}{7}=-\frac{1264}{7}$ feet.

The net change in their elevation = $-\frac{1264}{7}-(-\frac{814}{7})$

$=-\frac{1264}{7}+\frac{814}{7}\\=-\frac{450}{7}=-64\frac{2}{7}\text{ feet}$

5 0

4 years ago

Read 2 more answers

An auditorium with 52 rows is laid out where 6 seats comprise the first row, 9 seats comprise the second row, 12 seats comprise

ivanzaharov [21]

The number of seats per row generate an arithmetic sequence. Let $a_n$ denote the number of seats in the $n$ -th row. We're told that the number of seats increases by 3 per row, so we can describe the number of seats in a given row recursively by

$\begin{cases}a_1=6\\a_n=a_{n-1}+3&\text{for }2\le n\le52\end{cases}$

The total number of seats is given by the summation

$\displaystyle\sum_{n=1}^{52}a_n$

Because $a_n$ is arithmetic, we can easily find an explicit rule for the sequence.

$a_n=a_{n-1}+3$
$a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3$
$a_n=(a_{n-3}+3)+2\cdot3=a_{n-3}+3\cdot3$
$\cdots$
$a_n=a_1+(n-1)\cdot3$

So the number of seats in the $n$ -th row is exactly

$a_n=6+(n-1)\cdot3=3+3n$

This means the total number of seats is

$\displaystyle\sum_{n=1}^{52}a_n=\sum_{n=1}^{52}(3+3n)=3\left(\sum_{n=1}^{52}1+\sum_{n=1}^{52}n\right)$

You should be familiar with the remaining sums. We end up with

$\displaystyle\sum_{n=1}^{52}a_n=3\left(52+\dfrac{52\cdot53}2\right)=4290$

3 0

3 years ago