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rosijanka [135]

2 years ago

10

Clark wants to figure how many pens to order for the office. There are 48 workers, and he needs to order one pen for each worker

. He knows that for every 3 people who prefer red, there are 9 who prefer blue.

1 answer:

34kurt2 years ago

5 0

12 red and 36 blue pens. 12/36 = 3/9 so the ratio is correct, and 12+36 = 48 workers.

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Arisa [49]

Step-by-step explanation:

$1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0$

$4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1$

$6) \\ - 2< x \leqslant 0$

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2 years ago

Nicole has a stack of 50 dishes to wash. It took her 2 minutes to wash 8 dishes. At this rate, how long will it take Nicole to w

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3 years ago

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pochemuha

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3 years ago

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ra1l [238]

1) Final expression: $+7y^2-6y-17$

2) Final expression: $21x^3-46x^2+59x-30$

Step-by-step explanation:

1)

The first expression is

$(-2y^2-11y-7)-(-9y^2-5y+10)$

First, we remove the 2nd bracket by changing the sign of all the terms inside:

$-2y^2-11y-7-+9y^2+5y-10$

Now we group the terms with same degree together:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)$

Now we solve the expression in each brackets:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)=\\+7y^2-6y-17$

So, this is the final expression.

2)

The second expression is

$(7x-6)(3x^2-4x+5)$

We apply the distributive property, so we rewrite the expression as follows:

$(7x-6)(3x^2-4x+5)=7x(3x^2-4x+5)-6(3x^2-4x+5)$

Solving both brackets,

$7x(3x^2-4x+5)-6(3x^2-4x+5)=\\21x^3-28x^2+35x-18x^2+24x-30$

Now we group terms of same degree together:

$21x^3-28x^2+35x-18x^2+24x-30=\\21x^3+(-28x^2-18x^2)+(35x+24x)-30$

And solving each bracket,

$21x^3+(-28x^2-18x^2)+(35x+24x)-30=\\21x^3-46x^2+59x-30$

So, this is the final expression.

Learn how to simplify expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

3 0

3 years ago

Plz help ill give you brainlist

anastassius [24]

Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.

The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.

Vertically opposite angles (vertical angles) are congruent. Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or
x=22 degrees.

6 0

2 years ago