All categories

2 years ago

You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total

Mathematics

1 answer:

solniwko [45]2 years ago

7 0

Answer:

The total cost of the game is $23.60

You might be interested in

the temperature is already at 40 degrees it rises 4.5 degrees per minute how long will it take to get to 76 degrees

Andrei [34K]

Answer:

It will take 8 minutes for the temperature to reach 76°

Step-by-step explanation:

The expression for the total temperature in degrees at time t can be written as;

T=I+EM

where;

T=total temperature

I=initial temperature

E=temperature increase per minute

M=number of minutes

This can also be written as;

total temperature=initial temperature+temperature increase per minute×number of minutes

In our case;

T=76°

I=40°

E=4.5°

M=m

replacing;

76=40+(4.5×m)

4.5 m=76-40=36

(4.5 m)/4.5=36/4.5

m=8

It will take 8 minutes for the temperature to reach 76°

7 0

3 years ago

2- log 6-log 9<br> In condensing

Tju [1.3M]

Answer:

$\log(150)$

Step-by-step explanation:

We want to rewrite the following as a single logarithm:

$2 - log(6) - log(9)$

We introduce logarithm in the first term to get:

$2 \log(10) - \log(6) - \log(9)$

Recall that:

$log(a) - log(b) = \log \frac{a}{b}$

We apply this property to get:

$2 log(10) - log( \frac{6}{9} )$

This gives:

$log( {10}^{2} ) - log( \frac{6}{9} )$

$log( {100}) - log( \frac{2}{3} )$

$log( \frac{100}{ \frac{2}{3} } ) = log( \frac{300}{2} ) = log(150)$

4 0

2 years ago

Fully answer BOTH questions a and b below.

Setler [38]

A. 540 is 60% of 900 so 900 people were surveyed.
60/100 • x= 540
Multiply both sides by 100
Then divide both sides by 60

B. If you subtract 900-540 your answer will be 360. 360 people preferred running.

6 0

2 years ago

Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr

Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

$\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]$

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

$\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]$

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0

3 years ago

The sides of a triangle have measures of 2x, 8, 12. If the measure of the longest side is 2x. What value of x makes the triangle

Strike441 [17]

Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

4 0

2 years ago