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3 years ago

Rachel multiplied each side of x ≥ 2 by 3. She wrote the result as 3x ≤ 6. Explain the error Rachel made.

Mathematics

1 answer:

andrey2020 [161]3 years ago

6 0

Answer:

Her mistake was to change the inequality sign from ≥ to ≤.

The sign only changes when you multiply or divide both sides of an inequality by a negative number.

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Help please numbers 12, 13, 14, 15 please show work

kari74 [83]

Those are the answers for 12,13,14,15

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3 years ago

Given the following information, determine if one of the brands is a better buy. Brand A: 14 ounces for $44. 66 Brand B: 20 ounc

maksim [4K]

Division is one of the basic mathematical operations. The cost of Brand A and B is the same.

<h3>What is division?</h3>

The division is one of the most basic arithmetic operations. It is used to find the number of times a number is been added to itself.

Given to us

Brand A: 14 ounces for $44.66

Brand B: 20 ounces for $63.80

To compare the two brands we will find the cost of one ounce for each brand.

For Brand A,

The cost of 14 ounces is $44.66, therefore,

$\text{Cost of one ounce} = \dfrac{\$44.66}{14}\\\\\text{Cost of one ounce} = \$3.19$

For Brand B,

The cost of 20 ounces is $63.80, therefore,

$\text{Cost of one ounce} = \dfrac{\$63.80}{20}\\\\\text{Cost of one ounce} = \$3.19$

From the above two values, we can conclude that the cost of Brand A and B is the same.

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3 years ago

Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book

posledela

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

8 0

3 years ago

Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have

sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

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3 years ago

Write the trinomial as a square of a binomial x^2+2xy+y^2

vitfil [10]

Answer:

$\large\boxed{x^2+2xy+y^2=(x+y)^2}$

Step-by-step explanation:

$(x+y)^2=(x+y)(x+y)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(y)+(y)(x)+(y)(y)=x^2+xy+xy+y^2=x^2+2xy+y^2$

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3 years ago

Read 2 more answers