What is the simplest form of the decimal 0.39 as a fraction?

Answers

Answer 1

Answer: 0.39
The ans = 39/100

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A set of equations is given below:Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations?

2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

The given set of equations is

Equation A: c = 2d + 1

Equation B: c = 3d + 5

Using equation A and equation B, equate the value of c.

$2d+1=3d+5$

$1-5=3d-2d$

$-4=d$

The value of d is -4. So the value of c is

$c=2d+1=2(-4)+1=-7$

The equation 2d+1=3d+5 is used to find the solution to the set of equations, therefore the correct option is 1.

2d+1=3d+5.
If both equations equal c, then both equations can be equal to each other.

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?

Answers

Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches

Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches

volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144

She can make 144 square pyramids.

Answer:

144 square pyramids

Step-by-step explanation:

PLS HELP ASAP!! THXFor questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.

Answers

Answer:

Did you find them ?

Step-by-step explanation:

What is the slope of a line that passes through the points (3,-2) and (-5,-4)

Answers

Difference over X axis is -5 - 3 = -8
Difference over Y axis is -4 - (-2) = -2

tan alfa = -2 / -8 = 1/4 = 0.25

Answer: M=1/4

Step-by-step explanation:

hope this helped...

Tourist: "How many birds and lions do you have in your zoo?" Zookeeper:"There are 30 heads and 100 feet." Find the number of each animal. I need to know how to set this problem up in a system of linear equations. Thank you.

Answers

Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30

Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100

The system of linear equations is:

L + B = 30
4L + 2B = 100 .

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?(1) the square root of 10
(2) 5 times the square root of 10
(3) 5 times the square root of 2
(4) 25 times the square root of 2

Answers

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
$D_(AB) = \sqrt{( x_(2)-x_(1))^2+{(y_(2)-y_(1))^2}$
$x_(1) =1, x_(2) =-2, y_(1) =2, y_(2) =3$
$D_(AB)= \sqrt{(2--1)^2+{(3-4)^2}$
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
$D_(AB)= \sqrt{(2+1)^2+{(3-4)^2}$
$D_(AB)= √((3)^2+(-1)^2)$
$D_(AB)= √(9+1)$
$D_(AB)= √(10)$

Now, the formula for the perimeter of a pentagon is
P = 5×side length

So...
Perimeter = 5× $√(10)$

The answer is (2)

the answer is (2) because using the distance formula which can be found on your browser, it will lead us to the answer 5 radical 10

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