What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?

Answers

Answer 1

Answer: Given:
11.7 cm by 15.4 cm

To get the area of a plot, we multiply its length and its width.

Since two measurements are given, it is safe to assume that the higher measurement represents the length of the plot and the lower measurement is its width.

Length = 15.4 cm
Width = 11.7 cm

Area = Length * Width
Area = 15.4 cm * 11.7 cm
Area = 180.18 cm²

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Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squares should he shade? what percent woul his model show?

Answers

The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.

Which equation does not have the same solution as the others?x/4 = 2,
x - 9 = 17,
x + 12 = 20,
2x = 16.

Answers

If you would like to know which equation doesn't have the same solution as the others, you can calculate this using the following steps:

x/4 = 2 ... x = 4 * 2 = 8

x - 9 = 17 ... x = 17 + 9 = 26

x + 12 = 20 ... x = 20 - 12 = 8

2 * x = 16 ... x = 16/2 = 8

The correct result would be x - 9 = 17.

$(x)/(4)=2\nMultiply\ by\ 4\ on\ both\ sides.\nx=2*4\n{\boxed{x=8}$

$\n\nx-9=17\nAdd\ 9\ on\ both\ sides.\nx=17+9\n{\boxed{x=26}$

$x+12=20\nSubtract\ 12\ on\ both\ sides.\nx=20-12\n{\boxed{x=8}$

$2x=16\nDivide\ by\ 2\ on\ both\ sides.\nx=(16)/(2)\n{\boxed{x=8}$

$\sf\ The\ only\ equation\ that\ did\ not\ have\ the\ same\ solution\ as\ the\nothers\ was\n {\boxed{x-9=17}$

A pool is being drained at a constant rate. The amount of water is a function of the number of minutes the pool has been draining, as shown in the table. Write an equation in slope-intercept form that represents the function. Then find the water in the pool after two and a half hours. Time (mi) 12--------20------50
Volumne (gal) 4962--4754--3974

Answers

The equation in the slope-intercept form is $y=-26x+5274$ and there will be $1374$ gallons of water in the pool after $2$ and a half hours.

The equation of a line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$ is $(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)$ .

Take points $(12, 4962)$ and $(20, 4754)$ .

Here, $x_1=12, y_1=4962, x_2=20, y_2=4754$ .

The equation is :

$(y-4962)=(4754-4962)/(20-12)(x-12)$

$(y-4962)=(-208)/(8)(x-12)$

$8(y-4962)=-208(x-12)$

$8y-39696=-208x+2496$

$208x+8y-39696-2496=0$

$208x+8y-42192=0$

$8y=-208x+42192$

$y=-(208)/(8)x+(42192)/(8)$

$y=-26x+5274.$

The slope intercept form is $y=mx+c$ , where $m$ is the slope and $c$ is the $y$ -intercept.

After $2$ and a half hours or $150$ minutes.

Put $x=150$ in the equation $y=-26x+5274.$

$y=-26* 150+5274$

$y=-3900+5274$

$y=1374$

So, there will be $1374$ gallons of water in the pool after $2$ and a half hours.

Learn more about slope-intercept form here:

brainly.com/question/21366542?referrer=searchResults

Answer:

Using the first two values in the table, we can first find the slope to write an equation of a line, so we have

[4754 - 4962 ] / [20 - 12 ] = -26

So we have

y - 4754 = -26(x - 20)

y - 4754 = -26x + 520

y = -26x + 5274

Let's confirm that the amount after 50 minutes is correct

y = -26(50) + 5274 = 3974

So after 2 + 1/2 hrs (150 min) we have

y = -26(150) + 5274 = 1374 gallons

Step-by-step explanation:

Fifty divided by a hundred is equivalent to 0.02?

Answers

50 divided by 100 is .50 so no it is not equivalent .

which of the expressions doe not contain any like terms? a. 2x2+3x-4x+2 b. xy+yz-17 c. x2+x2-2x-x2 d. 4+8+y

Answers

b. does not contain any like terms, because xy, yz, and -17, do not share any common variables.

Hope this helps!

The answer is B it does not have any of the other terms

Simplify fully 4x + 3y -2 + 2x - 8y -6

Answers

Hi, Amyleighx!

First we want to identify any common factors.
4x+3y-2+2x-8y-6
3y-8y=-5y
4x+2x=6x
-2-6=-8
-5y+6x-8

I hope this helps;)

combine like terms. you can combine 4x and 2x, so that is 6x. now combine 3y and-8y and get -5y. combine-2 and -6 and get -8. now put ur terms together. 6x-5y-8

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