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3 years ago

72 marble and 75% are red

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Uh what do you mean by this?

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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]

Complete Question:

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.

Correct Answer:

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

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

Step-by-step explanation:

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

What is the degree of the monomial 9xy³z⁷

xxMikexx [17]

Answer:

the degree of the monomial is 11

Step-by-step explanation:

x = 1

y^3 = 3

z^7 = 7

add the exponents 1+3+7 = 11

5 0

4 years ago

You have $5,000 to invest for ten years. The Bank pays simple interest at an annual rate of 5%. Calculate your balance after 10

Mazyrski [523]

Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

3 0

2 years ago

How to make 100 using 5 digits

madam [21]

10*5+10*5*1 I think this is the right way

8 0

3 years ago

Each batch of ms.crawley's cookies makes 14 cookies. if sandy needs 8 dozen cookies for her bake s how many batches does she hav

erica [24]

7 batches. There is 12 cookies in a dozen so multiply 8×12 to get 96 cookies. 96 Is the total cookies you need to make. So if you divide 96 by the 14 to see how many batches you must make. you will get a number of 6.85... so you must round up to 7.

4 0

3 years ago