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2 years ago

Which expression is equivalent to (3b + 2r) + (4b + r)?

Mathematics

2 answers:

marysya [2.9K]2 years ago

6 0

(3b+2r)+(4b+r)=3b+4b+2r+r=7b+3r. B. 7b+3r

lozanna [386]2 years ago

4 0

To do this problem, you need to first get rid of all the parenthesis. Since all the operations are addition (+), remember the <span>Associative Property of Addition. This property says when you're adding, it doesn't matter where you put the parentheses because it'll all add up to the same thing.

That means </span>(3b + 2r) + (4b + r) = (3b + 4b) + (2r + r), or even, just get rid of the paratheses in general and have (3b + 2r) + (4b + r) = (3b + 2r + 4b + r).

Either way, now you can add like terms so:
(3b + 2r) + (4b + r) = (3b + 4b) + (2r + r) = 7b + 3r

Your answer is B) <span>7b + 3r</span>

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What is the conditional probability that exactly four heads appear when a fair coin is flipped five times

cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

----------------------------------

# of total outcomes

So the probablity is 5/32.

8 0

3 years ago

(-8, -1) slope = -3/4

babunello [35]

Answer:

y=-3/4x - 7

Step-by-step explanation:

When finding the slope given a point and a slope, we do the following.

y=mx+b (Slope-intercept Form)

m is the slope and x,y are the points

Plug in everything

-1= -3/4(-8)+b

Multiply

-1 = 6 + b

-7 = b

This gives us the final equation of y=-3/4x - 7

7 0

3 years ago

I need this for sis!:D I will give thanks!

Rzqust [24]

I do believe that it is the second one I’m not 100% sure but I’m pretty sure it is

7 0

2 years ago

Over what interval is the function in this graph increasing?

brilliants [131]

A function is increasing if it "points upwards".

Think that you have two inputs $x_1$ (think of them as being very close to each other). A function $f$ is increasing if

$f(x_1)$

So, smaller input, smaller output.

So:

In the first segment on the left, the function is decreasing: if you move with little steps rightwards, the output will get smaller and smaller (the function points to the right bottom)
In the second segment, the line is constant (it's horizontal). This means that even if you consider a larger input, the output reimains the same
In the third segment, the function is increasing: if you consider a larger input, the output will be larger as well: the function points to the top right.
In the fourth segment, the function is decreasing again (look at the first bullet point)

So, the function is increasing in the third segment, which is delimited by

$-2\leq x \leq 3$

7 0

3 years ago

Read 2 more answers

A 47-inch piece of steel is cut into three pieces so that the second piece is twice as

Aneli [31]

Answer:

<h2> first piece: 5 in</h2><h2> second piece: 10 in</h2><h2> third piece: 32 in </h2>

Step-by-step explanation:

x - the length of the <u>first piec</u>e

2x - twice the length of the first piece (the length of the <u>second piece</u>)

6x - six times the length of the first piece

two inches more:

6x+2 - the length of the <u>third piec</u>e

first + second + third = 47 in {total length of the pieces of steel}

x + 2x + 6x + 2 = 47

9x + 2 = 47

9x = 45

x = 45:9

x = 5 in

first piece: 5 in

second piece: 2×5 = 10 in

third piece: 6×5 + 2 = 30 + 2 = 32 in

4 0

2 years ago