Given the equation 3x+7 which order of operations completely solves for x

This box plot shows scores on a recent math test in a sixth grade class.

amid [387]

Answer:

Interquartile range, median, and range

Step-by-step explanation:

The five-number summary that a box plot displays are minimum value, maximum value, median, first quartile, and third quartile.

This means that interquartile range = Q3 - Q1 can be determined from the box plot.

Median cam be gotten, and also range, which is max - min.

7 0

3 years ago

You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0

3 years ago

Tegan needs to make 68 more snow blocks to finish building an igloo. Write an equation for the number of blocks Tegan still need

Fynjy0 [20]

68-33 blockers ?????????????????????????????????????????!?!!

5 0

3 years ago

Read 2 more answers

Brian needs to find the value of a number, a, so that when (x^2+3x) is added to the binomial (3x^2+ax), the sum simplifies to 4x

Julli [10]

Answer:

a = 9

Step-by-step explanation:

First we need to add (x^2+3x) to (3x^2+ax),

(x^2+3x)+(3x^2+ax)

Expand

= x^2+3x+3x^2+ax

Collect the like terms

= x^2+3x^2+3x+ax

= 4x^2 + 3x + ax

= 4x^2+(3+a)x

Equate the solution to 4x^2+12x

4x^2+(3+a)x = 4x^2+12x

Comparing the like terms on both sides

(3+a)x =12x

3 + a = 12

a = 12 - 3

a = 9

Hence the value of a is 9

6 0

3 years ago

Ralph is an electrician. He charges an initial fee of $37.50, plus $25 per hour. If Ralph earned $187.50 on a job, how long did

Fynjy0 [20]

Answer:

6

Step-by-step explanation:

25x+37.5=187.5; x as hours

8 0

3 years ago

Read 2 more answers