All categories

2 years ago

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

Mathematics

2 answers:

svetoff [14.1K]2 years ago

6 0

D -3m-4n+14. Once you write out the equation, you have to combine all the like terms, also known as simplifiying

Anni [7]2 years ago

5 0

Answer:

Option D is correct

-3m -4n +14

Step-by-step explanation:

Given:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5, and

T = -m - 3n + 8.

We have to Simplify R-S+T

R -S +T = 11 - 2m - (n+5) + (-m -3n +8) = 11 - 2m-n-5-m-3n+8

Combine Like terms we have;

R -S +T = -3m -4n +14

Therefore, the Simplification of R -S +T is, -3m -4n +14

You might be interested in

show two ways that four people can share a 6 segment chewy fruit worm in each case how many segments does each person gets

Novay_Z [31]

You can share a 6 segment chewy fruit worm by giving the four people 1 ¼ segments. Also, there are a lot ways on how to divide it equally, but in this case, I’ll show two. Here are the two ways on how to share it:

1. You can divide the worm by giving one segment for each and then divide the remaining two segments in halves, thus resulting to having 1 ¼ shares.
2. Cut the worm in a horizontal manner. In this way, you'll have 12 segments now. You can then proceed by distributing the share by 3s, which is still equivalent to 1 ¼.

Download docx

8 0

3 years ago

Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.

klasskru [66]

Answer:

Step-by-step explanation:

corvet corvet

6 0

2 years ago

Arrange in descending order 1/2, 3/4, 2/3

Anastaziya [24]

Answer:

The question is asking which numbers are larger with respect to one another. An easy way to do this is to convert to decimals, or just memorize it. 1/2=0.5, 3/4=0.75, 2/3=0.666666. So descending order (largest to smallest) 3/4, 2/3, 1/2.

5 0

3 years ago

Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is

Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since, its head is twice as likely to occur as its tail.

$p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}$

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n = 3

$p=\dfrac{2}{3}$

$q=\dfrac{1}{3}$

Now,

$P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222$

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

$P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292$

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

$P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111$

Hence, a) 0.2222, b) 0.3292, c) 0.1111

8 0

3 years ago

Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward

larisa [96]

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

The expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours. Select True or False for each of the following.

1. The friends home is 10 miles from Ilonas home

2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

3.The negative sign in the term indicates that Ilona is walking toward her home

4. Ilona is walking at a rate of 10 miles per hour

Answer:

Statements 1 & 2 are correct.

Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

Now, from the expression -2t + 10

It's clear that 2t is a distance value.

This means that the speed used in going home is 2 miles/hr

This means that at t hours, she has walked 2t miles from her friends home.

Thus, statement 2 is true because an absolute value of -2t will be 2t.

Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

Thus, statement 1 is also true

7 0

2 years ago