The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D = g(a).

A shoe store was having a back to school sale were you could buy 6 pairs of shoes for 52.62 If a large family decided to buy 3 p

Black_prince [1.1K]

Answer:

$26.31

Step-by-step explanation:

Since 3 is half of 6, 3 pairs of shoes would cost half the price.

So...

52.62/2=$26.31

6 0

2 years ago

Expres each of the folowing as a single matrix.

Elden [556K]

Answer:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

Step-by-step explanation:

If you have two matrices:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]$

We have:

$A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]$

And we need to express as a single matrix:

$A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

The answer is:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

It is expressed as a single matrix.

8 0

3 years ago

A van has room for 6students and 2teachers . How many vans are needed for a total of 48students and 16 teachers?

Juliette [100K]

8 vans are need for all to go

7 0

3 years ago

A parallelogram has base (2x - 1) metres and height (4x - 7) metres.

Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

4 0

3 years ago

9

SashulF [63]

Answer:

$n = -5$

Step-by-step explanation:

Given

$Digit = 0.000025$

Required

Rewrite using scientific notation, then find n

$Digit = 0.000025$

Express as fraction

$Digit =\frac{25}{1000000}$

This can be splitted to

$Digit = 25 * 10^{-6}$

The first number must be between 1 and 10; hence, 25 can be expressed as 2..5 * 10

$Digit = 2.5 * 10* 10^{-6}$

Apply law of indices

$Digit = 2.5 * 10^{1-6}$

$Digit = 2.5 * 10^{-5}$

Comparing n, the given options

$n = -5$

7 0

3 years ago