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Valentin [98]
4 years ago
13

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Mathematics
1 answer:
Gnesinka [82]4 years ago
7 0

Answer:

Simplify

Q-[R+S]-T

The answer is:

10m+5n-24

Step-by-step explanation:

We have the expressions:

Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8

Now, we need simplify:

Q-[R+S]-T

We need to replace each term by the expressions:

7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)

We need to remember the rule of signs:

-/-=+

-/+=-

+/+=+

With this in mind we solve the parentheses:

7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)

7m+3n-[11-2m+n+5]+m+3n-8

7m+3n-11+2m-n-5+m+3n-8

let's group common terms

7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8

We must add and subtract common terms:

7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24

The answer is:

10m+5n-24

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Answer:

\boxed {\boxed {\sf -0.92}}

Step-by-step explanation:

A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.

  • If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
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Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.

8 0
3 years ago
Ally babysat nine times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. Find the mean number of dollars that Ally earned
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Answer:

The mean is 21.62 which is approximately 22

Step-by-step explanation:

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4 years ago
Are the two triangles below similar?
Hunter-Best [27]

Answer:- B) No; they do not have congruent corresponding angles.

Explanation:-

In ΔGHI ,

∠G=46° and  ∠I=27°

By angle sum property,

∠G+∠H+∠I=180°

⇒∠I=180°-∠G-∠H

⇒∠I=180°-46°-27°= 107°

In Δ JKL

∠K=108°and ∠L=27°

By angle sum property of triangles,

∠J+∠K+∠L=180°

⇒∠J=180°-∠L-∠K

⇒∠J=180°-27°-108°

⇒∠J=45°

Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.

⇒ They do not follow AA similarity criteria.

Thus ,the given triangles are not similar because they do not have congruent corresponding angles.


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