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2 years ago

Simplify the expression 3(y-5)+2y

Mathematics

1 answer:

miv72 [106K]2 years ago

8 0

Answer:

5 − 15

Step-by-step explanation: Distribute: 3(−5)+ 2 , 3 − 15 + 2

Combine the like terms: 3 − 15 + 2 5 − 15

hope that helped

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would

Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, $A_1$ = 2 x × 3 x

Or, $A_1$ = 6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or, $A_2$ = 4 x × 4.5 x = 18 x²

So, The percentage increase in area = $\dfrac{A_2 - A_1}{A_1}$ × 100

Or, The percentage increase in area = $\frac{18 x^{2}-6x^{2}}{6x^{2}}$ × 100

Or , The percentage increase in area = $\dfrac{12}{6}$ × 100

∴ The percentage increase in area = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0

3 years ago

The sum of two numbers is 180.If one number is 25% more than the other number,what are the numbers?

erica [24]

The answer is 135 and 45.

Hope this helps?

6 0

3 years ago

When is 20% off better than 20$ off

Crazy boy [7]

Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

Let us assume that x% off of price y$ is better than x$ off.

Hence, $\frac{xy}{1000} > x$

Hence, y > 100

Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

Hence, $\frac{20y}{100} > 30$

⇒ y > 150$

Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)

7 0

3 years ago

without building a model tell whether a long row of 8 cubes or a cube made from 8 would have a greater volume. explain

Viktor [21]

I'm presuming that the 'large cube' is made from 8 cubes the same size as the 8 cubes in the long row. They both have the same volume, the only difference between them is that they are arranged in a different order. Hope this helps. If not feel free to ask again and give more information.

7 0

2 years ago

How do you turn<br> 584.56714755 into a radical answer and what would it be

Llana [10]

Answer

584.56714755 = 146

Step-by-step explanation:

584.567 is 4 times 146 ...

...and 4 can be written as 2 to the power 2.

So, the 4 can just be pulled outside of the radical sign, as a 2 ,

and the other factor, the 146 , just stays inside of the radical sign.

8 0

3 years ago