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damaskus [11]
3 years ago
7

How many times does 3/8 go into 3/2?

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer:

4

Step-by-step explanation:

kompoz [17]3 years ago
5 0

Answer:

4

Step-by-step explanation:

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Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
By what number (5/4)^6 should be divided to get (25/16)^8?
Naya [18.7K]

Answer:

X=(5/4)^-10

Step-by-step explanation:

(5/4)^6÷x=(25/16)^8

(5/4)^6÷x=(5/4)^16

1/X==(5/4)^16÷(5/4)^6

X=(5/4)^6÷(5/4)^16

X=(5/4)^-10

So the value of X is (5/4)^-10

6 0
3 years ago
What is the product? (2x-1)(x+4)
Semenov [28]
3x - 1 + 6x - 1 =
9x - 2
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3 years ago
Which Of The Following Is The Factored Form Of The Expression 18 + 12
oee [108]
Correct answer is 
<span>C. 6(3 + 2)</span>
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Write a matrix to represent the system 2a-3b=6 a+b=2
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The matrix should be this:

<span>\left[\begin{array}{ccc}2&-3\\1&1\end{array}\right]


</span>

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3 years ago
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