3 L in 12 minutes as a rate

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

madreJ [45]

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

4 0

3 years ago

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5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mkey [24]

Answer:

B $x^4-x^3+x^2-x+1$

Step-by-step explanation:

Given,

Dividend = $(x^5+1)$

Divisor = $(x+1)$

Step 1: First The dividend is $(x^5+1)$ and Divisor is $(x+1)$ when divided first time the quotient will be $x^4$ and remainder will be $-x^4+1$

Step: 2 Now the new dividend is $-x^4+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3$ and remainder will be $x^3+1$

Step: 3 Now the new dividend is $x^3+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2$ and remainder will be $-x^2+1$

Step: 4 Now the new dividend is $-x^2+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x$ and remainder will be $x+1$

Step: 5 Now the new dividend is $x+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x+1$ and remainder will be 0.

Hence When the polynomial $(x^5+1)$ is divided by $(x+1)$ the answer or quotient will be equal to $x^4-x^3+x^2-x+1$ and remainder will be 0.

5 0

3 years ago

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut

givi [52]

10%=30 15%=20 I hope this helps <3

3 0

3 years ago

Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.

Basile [38]

So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 × x × y
This can be written as 2x × y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.

3 0

3 years ago

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the local farm sell a 4 pound basket of apples for 5.60 each apple weighs 4 ounces. what is the price per apples

valina [46]

Because there are 16 ounces in a pound, we can multiply 16 by 4 to get 64, there are 64 ounces of apples which is also the same as 4 pounds of apples. If 64 ounces of apples equals $5.60, and each apple is 4 ounces, we have to also divide 64 by 4 to find the number of apples. 64 divided by 4 is 16, so 16 apples for $5.60. To get the price PER apple, or for one apple, we have divide $5.60 by 16, which will give us $0.35, or $.35 per apple, which is actually a good price.

4 0

4 years ago