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2 years ago

Combine the like terms to make a simpler expression 9p+3p

Mathematics

1 answer:

Taya2010 [7]2 years ago

4 0

Since the terms 9 and 3 both have the same variable of p, that means they are like terms. So, just add 9+3

9p+3p=12p

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Greg, marcia, peter, jan, bobby and cindy go to a movie and sit next to each other in 6 adjacent seats in the front row of the t

Brrunno [24]

Find the total ways that people can be seated with no restrictions;

6! ways but you know that marcia and jan will not sit together.

Write out this, as: G, (M, J), B, P <-- M and J (Marcia and Jan are grouped together to find the ways they will be sat together, so we can subtract this away).

In this combination, considering M and J as one, you have 5! ways. Then you see that M and J can switch position, so there would be added 2! ways.

In total, possibility of J and M to sit together is 5!2!

6!-5!2!
=720-240
= 480 possible ways of seating the friends so that Jan and Marcia are not together.

Hope I helped :)

7 0

2 years ago

What is the area of the shaded region

xeze [42]

Given:

Given that the radius of the circle is 12 cm.

The length of the rectangle is 11 cm.

The width of the rectangle is 5 cm.

We need to determine the area of the shaded region.

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A_1=length \times width$

Substituting the values, we have;

$A_1=11\times 5$

$A_1=55 \ cm^2$

Thus, the area of the rectangle is 55 square cm.

Area of the circle:

The area of the circle can be determined using the formula,

$A_2=\pi r^2$

Substituting r = 12, we have;

$A_2= (3.14)(12)^2$

$A_2=452.16 \ cm^2$

Thus, the area of the circle is 452.16 square cm.

Area of the shaded region:

The area of the shaded region can be determined by subtracting the area of the rectangle from the area of the circle.

Thus, we have;

Area = Area of the circle - Area of the rectangle.

Substituting the values, we have;

$Area=452.16-55$

$Area=397.16 \ cm^2$

Thus, the area of the shaded region is 397.16 square cm.

6 0

2 years ago

Use the following function rule to find h(w–5). Simplify your answer. h(y)=y²–y–5 h(w–5)=

Dima020 [189]

The value of the function is h(w - 5) = w^2 - 11w +25

<h3>How to determine the function?</h3>

The function is given as:

h(y) = y^2 - y - 5

Substitute w - 5 for y

h(w - 5) = (w - 5)^2 - (w - 5) - 5

Expand the equation

h(w - 5) = w^2 - 10w + 25 - w + 5 - 5

Evaluate the like terms

h(w - 5) = w^2 - 11w +25

Hence, the value of the function is h(w - 5) = w^2 - 11w +25

Read more about functions at:

brainly.com/question/20379727

#SPJ1

8 0

1 year ago

What trigonometric ratio could be used to find the missing side? Tangent, Sine, or cosine?

Vera_Pavlovna [14]

Answer:

cosine

Step-by-step explanation:

eliminate each ratio that will not work,

we'll just use Soh Cah Toa, which basically tells us when to use that ratio

Soh stands for sine=opposoite/hypotenuse

a sine ration would be the opposite side, but we are not given the opposite side, we are given the adjacent side, so we can eliminate this

Cah (correct answer)

Cah stands for cosine=adjacent/hypotenuse

x is the adjacent side to 27 degrees and we are given the hypotenuse, so this will work

Finally Toa won't work because

Toa stands for tangent=opposite/adjacent

We can automatically eliminate this because the tangent only uses the two legs, it does not use the hypotenuse

therefore our answer is the cosine ratio

feel free to ask any questions or comments, hope this helps

3 0

2 years ago

george has 6 cups of tamato sause he needs 3/4 of the sause to make lasagna wich best describes how much sause will George use

Kay [80]

Tomato = 6
lasagna = 3/4tomato
= 4 cups 1/2

4 0

3 years ago