What special number is given with several decimal places?

The length of a rectangle is 3 inches. Enter an expression for the area of the rectangle if the width is w inches. Find the area

AveGali [126]

Answer:

An expression for the area of the rectangle if the width is w inches is

$A =$ 3w

when the width is 1 inch, Area = 3 square inches (in²)

when the width is 2 inches, Area = 6 square inches (in²)

when the width is 3 inches, Area = 9 square inches (in²)

when the width is 26 inches, Area = 78 square inches (in²)

Step-by-step explanation:

The area of a rectangle is given by

$A = l$ × $w$

Where $A$ is the area of the rectangle

$l$ is the length of the rectangle

and $w$ is the width of the rectangle

From the question,

length, $l$ = 3 inches

width, $w$ = w inches

Hence, An expression for the area of the rectangle is

$A =$ 3 × w

$A =$ 3w

Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches

1. when the width is 1 inch (That is $w$ = 1 inch)

Then, $A =$ 3w

$A =$ 3 × 1

$A =$ 3 square inches (in²)

2. when the width is 2 inches (That is $w$ = 2 inches)

Then, $A =$ 3w

$A =$ 3 × 2

$A =$ 6 square inches (in²)

3. when the width is 3 inches (That is $w$ = 3 inches)

Then, $A =$ 3w

$A =$ 3 × 3

$A =$ 9 square inches (in²)

4. when the width is 26 inches (That is $w$ = 26 inches)

Then, $A =$ 3w

$A =$ 3 × 26

$A =$ 78 square inches (in²)

6 0

3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

marin [14]

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

5 0

3 years ago

Algebra I

Murljashka [212]

Kskdkdkoeoeoeoroo93939394

7 0

3 years ago

What are the solutions to the system of equations,<br> y=x+21<br> 2x+y=57

kondaur [170]

Answer:

(12,33)

Step-by-step explanation:

This system can be solved using the substitution method. This is where you replace one variable by another.

Step 1:

Plug in $x+21$ for the y

Step 2:

Combine like terms

$2x+x+21=57\\3x+21=57$

Step 3:

Subtract 21 from both sides

$3x=36$

Step 4:

Divide both sides by 3

$x=12$

Step 5:

Use the first equation and plug in 12 for x

$y=12+21$

$y=33$

Step 6:

Proof of work

$2(12)+33=57\\24+33=57\\57=57$

3 0

3 years ago

One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum

Liula [17]

Answer:

Approximately 34 grams of the healthy food

Step-by-step explanation:

For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:

vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------7%

X grams -----------100%

$X=\frac{1 gram* 100}{ 7 } = 14.285 grams$

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------3%

X grams -----------100%

$X=\frac{1 gram* 100}{ 3 } = 33.33 grams$

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.

3 0

4 years ago