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2 years ago

In which step does a mistake first occur?

Mathematics

2 answers:

Fofino [41]2 years ago

8 0

X is equal to 11 percent you’re welcome

kumpel [21]2 years ago

7 0

Answer:

Step 3. 4 ÷ 2

Step 4. 2

these two steps are wrong

$(24 ÷ 3 + 10) - 14 ÷ 2$

$(8 + 10) - 14 ÷ 2$

$(8 + 10) - 7$

$18 - 7$

$11$

Note : See the explanation and get the answer

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A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

Can someone help me with this two step equation

hjlf

You have to distribute the 4 to the numbers in the parenthesese. So 4 times 3x which is 12x and 4 times 5 which is 20 so now you get 12x plus 20 equals 8. Now you have to subtract 20 from 8 which is -12 so now you have 12x=-12 now divide the 12 from x and 12 from -12 and so now you have x=-1

3 0

3 years ago

9. Nadeem plans to ride her bike between

Paul [167]

Answer:

Step-by-step explanation:

I'm guessing we are missing a piece of the question such as the average speed at which Nadeem can ride. Let's call it v

distance is a product of velocity and time

d = vt

t = d/v

so if v is in miles/hr, an inequality could be

12/v ≤ t ≤ 15/v

5 0

2 years ago

On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1: 1 2 . a. What is

iragen [17]

A) To cook 1/2 cup of rice, the package tells you that you also need 1 cup of water. The the total volume of ingredients is
.. 1/2 c + 1 c = 1 1/2 c

b) According to the package the ratio of water to rice is
.. water : rice = 1 : 1/2 = 2 : 1
Then the ratio of water to total ingredients is
.. water : (water + rice) = 2 : (2 +1) = 2 : 3

Susan's ratio is incorrect. Susan is using "1" for the total of ingredients, instead of 2+1 = 3. The correct ratio is 2:3.

5 0

3 years ago

17 points)Which figures are similar to the one without a letter please explain I’m a little confused.....?plz help

erik [133]

Answer:

The letter D

Step-by-step explanation:

because of the present in the top-left corner has no letter and it maches with the present that has no color and that is the letter D XD thanks brainleiiest plz

8 0

3 years ago