Can someone answer theese 3 questions.

The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.

prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing length and width and we do that by using the second sentence.

The length is twice the width

So if we call our width x, that means that our length is 2 times x or 2x

Width of the rectangle ⇒ x

Length of the rectangle ⇒ 2x

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths x and our lengths 2x.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that x = 10.

Since x represents width, our width is 10.

Our length therefore with be 2(10) or 20.

So our width is 10 and our length is 20.

8 0

3 years ago

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

-------

Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

Solve for missing side of the a) 81 feet b) 63 feet c) 120 feet d) 168 feet

Alex777 [14]

I can’t see the data did you forget to put it or like forget to put a picture???

8 0

2 years ago

please help asap!!!!!!!!!! Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of pla

SCORPION-xisa [38]

Answer:

4x+3y=68

9x+2y=77

plain= 5 shiny=16

Step-by-step explanation:

plain=x shiny=y

6 0

3 years ago

The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is,

Maksim231197 [3]

Answer:

2

Step-by-step explanation:

We are given that a decimal number d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit 3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

5 0

3 years ago