All categories

3 years ago

Simplify the expression 4m+5−3m I have been stuck on this for a long time >.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

<span>4m + 5 - 3m =
(4m - 3m) + 5 =
m + 5 </span>← answer

ki77a [65]3 years ago

3 0

If you've been stuck, I'll take the time to really explain it.

Part of simplifying expressions means collecting like bases. Like bases are 2+ terms that share the same base, so like x, or x^3, or 4x^2.

Let's look at your expression.
There are two obvious like bases, which is m, and 5.
4(m)
-3(m)
5
However, there are two terms with the base m, so they are like bases.
You can collect them like so.

4m - 3m = m

and therefore,

4m + 5 - 3m
(4m-3m) + 5
m + 5

Because it cannot be simplified further, the final result is m + 5

You might be interested in

Good points get them easy!!!

ale4655 [162]

Answer:

x = 7

Step-by-step explanation:

These angles are corresponding angles which mean that they're equal to each other:

7x - 4 = 5x + 10

7x - 5x = 10 + 4

2x = 14

x = 14/2

x = 7

8 0

3 years ago

Read 2 more answers

How many square inches are there in a square yard? A) 36 B) 72 C) 1,296 D) 46,656

hodyreva [135]

You know that

1 yard = 36 inches.

Moreover,

1 square yard =1 yard × 1 yard

Then

1 square yard = 36 inches × 36 inches = 1,296 square inches.

Answer: correct choice is C.

3 0

3 years ago

Two boys decided to buy a computer. The second boy had 5/6 of the money the first had. The first boy had 7/8 of the price of the

UNO [17]

Answer:

The price of the computer is $1,152

Step-by-step explanation:

Let the price of the computer be $x

The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8

The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48

Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696

Mathematically, this can be represented as;

7x/8 + 35x/48 = x + 696

(42x + 35x)/48 = (x + 696)

77x/48 = (x + 696)

77x = 48(x + 696)

77x = 48x + 33408

77x - 48x = 33408

29x = 33, 408

x = 33,408/29

x = $1,152

7 0

3 years ago

Use the Remainder Theorem to determine which binomial is a factor of the function f(x) = x3 − 2x2 − 19x + 20.

dybincka [34]

Answer:

(x - 1)

Step-by-step explanation:

Given

f(x) = x³ - 2x² - 19x + 20

The sum of the coefficients is 1 - 2 - 19 + 20 = 0

This means that x = 1 is a root and (x - 1) is a factor of f(x)

3 0

3 years ago

Read 2 more answers

What is a21 of the arithmetic sequence for which a7=-19 and a10=-28

OleMash [197]

Answer:

-61

Step-by-step explanation:

So arithmetic sequences are linear. This means no matter what two points you use from the sequence you will get the same slope (also known as common difference when talking about arithmetic sequences).

So we have two points given on this line:

(7,-19) and (10,-28).

Let's find the slope:

Line up the points and subtract vertically, then put 2nd difference over 1st difference.

Like this:

( 7 , -19)

-(10 , -28)

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

-3 9

So the slope is 9/-3 or -3 after reducing.

Now I'm going to use the following two points to find the 21st term:

(21,y) and (7,-19).

We are using these 2 points to find the slope. Line them up and subtract vertically, then put 2nd difference over 1st difference.

Like so:

( 21 , y)

- ( 7 ,-19)

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

14 y+19

So the slope is (y+19)/14.

So since this is a line it shouldn't matter what two points you choose on it, the slopes should be the same.

So we have the following equation to solve:

$\frac{y+19}{14}=-3$

Multiply both sides by 14:

$y+19=-3(14)$

Simplify right hand side:

$y+19=-42$

Subtract 19 on both sides:

$y=-42-19$

Simplify right hand side:

$y=-61$

The 21st term is -61.

7 0

3 years ago