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astraxan [27]
3 years ago
6

Amelia used 19/20 pounds of flour to bake a cake. Write the quantity of flour she used in ____ decimal form. The decimal quantit

y of the flour Amelia used to bake the cake is pound.
Mathematics
2 answers:
matrenka [14]3 years ago
5 0
.95 just divide 19/20
LiRa [457]3 years ago
5 0

Answer:

The decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.

Step-by-step explanation:

Amelia used 19/20 pounds of flour to bake a cake.

We have to write the quantity of flour she used in decimal form.

To write in decimal form, we will divide 19 by 20.

So, the decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.

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Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
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7 0
3 years ago
A un tanque que contiene 150 litros de gas propano se le inyecta del mismo gas a razón de 3 litros por segundo. Determina la fun
ElenaW [278]
If only it was in english i could of read it and gave you the answer

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3 years ago
16. Model Real Life Your aunt and uncle
earnstyle [38]

The amount of each payment is $699.

What is payment?

Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.

Given: Buy 2 personal watercrafts for $3,495 each.

So, the price for 2 watercrafts is, 2 x $3495 = $6990

They make 10 equal payments for the watercrafts.

So each payment is of $6990/10 = $699.

Hence, the amount of each payment is $699.

To know more about payment, click on the link

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3 0
1 year ago
Select the correct answer. Which function does the graph represent?
Lostsunrise [7]

Answer:

what graph

Step-by-step explanation:

7 0
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seropon [69]

Answer:

<h2>D)x=4,y=7</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
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<h3>let's solve:</h3>

according to the question

\begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y  \end{cases}

\begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}

\begin{cases}-6x= -24\\ 5y=35 \end{cases}

\begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}

\therefore \begin{cases}  x=4\\ y=7 \end{cases}

6 0
2 years ago
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