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riadik2000 [5.3K]

3 years ago

14

Clark wants to figure out how many pens to order for the office. There are 24 workers, and he needs to order one pen for each wo

rker. He knows that for every six people who prefer red, there are six who prefer blue. How many blue pens should he order?

1 answer:

Minchanka [31]3 years ago

4 0

24-6-6=12
so he needs 12 blue pens to order

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2x - y = 11

x + 3y = -5

<u>Step 2: Rewrite Systems</u>

2x - y = 11

[Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
[Division Property of Equality] Divide -1 on both sides: y = 2x - 11

<u>Step 3: Redefine Systems</u>

y = 2x - 11

x + 3y = -5

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
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3 years ago

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Answer:

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Step-by-step explanation:

the absolute value of -23 is 23 (distance from 0)

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4 years ago

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

borishaifa [10]

Let x represent number of bracelets and y represent number of necklaces.

We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be $x+7$ . We can represent this information in an equation as:

$y=x+7...(1)$

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be $6x$ grams.

We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be $16y$ grams.

Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

$6x+16y=178...(2)$

Therefore, our required system of equations would be:

$y=x+7...(1)$

$6x+16y=178...(2)$

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