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3 years ago

10

Jack collected 18 ten-dollar bills while selling tickets for a show. He gave 1/6of the bills to the theater and kept the rest. H

ow much money did he keep?

2 answers:

sattari [20]3 years ago

5 0

Answer:

150$

Step-by-step explanation:

18 x 10= 180

180-(180÷6)

=180-30

=150$

AURORKA [14]3 years ago

3 0

Answer:

150$

Step-by-step explanation:

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What is the product?

Tanzania [10]

Answer:

$=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}$

Step-by-step explanation:

$\begin{pmatrix}-3&4\\2&-5\end{pmatrix}\begin{pmatrix}3&-2\\ 1&0\end{pmatrix}$

Multiply the row of the first matrix to the column of the second matrix

$\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=\left(-3\right)\cdot \:3+4\cdot \:1$

$\begin{pmatrix}-3&4\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=\left(-3\right)\left(-2\right)+4\cdot \:0$

$\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}3\\ 1\end{pmatrix}=2\cdot \:3+\left(-5\right)\cdot \:1\$

$\begin{pmatrix}2&-5\end{pmatrix}\begin{pmatrix}-2\\ 0\end{pmatrix}=2\left(-2\right)+\left(-5\right)\cdot \:0\$

$=\begin{pmatrix}\left(-3\right)\cdot \:3+4\cdot \:1&\left(-3\right)\left(-2\right)+4\cdot \:0\\ 2\cdot \:3+\left(-5\right)\cdot \:1&2\left(-2\right)+\left(-5\right)\cdot \:0\end{pmatrix}$

simplifying them we get

$=\begin{pmatrix}-5&6\\ 1&-4\end{pmatrix}$

8 0

3 years ago

Help me please,Thanks

alisha [4.7K]

Answer: The width is: " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________

V = L * w * h ;
_________________________________________________
in which:

V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________

V = L * w * h ;
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
_____________________________________________
→ V / (L * h) = ( L * w * h) / (L * h) ;

to get:
_________________________________
→ V / (L * h) = w ;

↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;

→ w = (120 in.³) / (12 in.²) ;

→ w = (120/12) in. = 10 in.
____________________________________________________

8 0

3 years ago

Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034

Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is $2+6+18+54+.......$

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

$r=\frac{6}{2}=3$

Thus, the common difference is $r=3$

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

$S_{\infty}=\frac{a}{1-r}$ where $0$

Since, the value of r is 3 and the value of r does not lie in the limit $0$

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

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3 years ago

Simplify (square root 2)(3 square root of 2)

lorasvet [3.4K]

$\sqrt{2} (3\sqrt{2} )$

Here we can simplify the product by multiply the square root 2 with square root 2 first.

$3*\sqrt{2} \sqrt{2}$

=3*2

=6

So answer is 6

4 0

3 years ago

Read 2 more answers

Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake.

tensa zangetsu [6.8K]

Answer:

50

Step-by-step explanation:

The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.

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3 years ago