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2 years ago

Simplify the expression by combining like terms7m+2n-3m+8n-4m

Mathematics

2 answers:

german2 years ago

7 0

Answer:

10n

Step-by-step explanation:

7m-3m=4m-4m=0

bazaltina [42]2 years ago

3 0

7m+2n-3m+8n-4m

7m-3m-4m+2n+8n

7m-1m+2n+8n

6m+10n

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What is 8.016 as a fraction in simplest form

Papessa [141]

816/100

404/25

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3 years ago

What is the value of the expression ? (243^2)^1/10 A.9 B.81 C.3 D.27

podryga [215]

$(243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}$

7 0

2 years ago

Joseph had 7 1/4 ounces of candy to share with his friends. He gave them 2 4/5 ounces of candy when they came over to play video

OleMash [197]

7 1/4 - 2 4/5
Turn the denominator into a common denominator for both fractions:
7 5/20 - 2 16/20
To subtract easier, turn the fractions into an improper fraction:
145/20 - 56/20
Subtract the numerators:
145 - 56 = 89 ---> 89/20
Simplify (to get an answer of):
4 9/20
Add labels:
Joseph has 4 9/20 ounces of candy left

8 0

3 years ago

What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

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

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.

So the following is point-slope form for a linear equaiton:

$y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }$

Plug in a point $(x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}$ .

This gives:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$

I'm going to distribute:

$y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}$

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

$6y-9=-26x+13$

Add 26x on both sides:

$26x+6y-9=13$

Add 9 on both sides:

$26x+6y=22$ This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

$13x+3y=11$ (standard form)

7 0

3 years ago

Read 2 more answers

Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the enti

Morgarella [4.7K]

It will take 90 minutes.
Why?
Rene has to go 60 miles.
He takes 1 hour to go 40 miles.
60 miles is 'one and a half' times 40.
So, he needs an hour and a half to go 60 miles.

6 0

2 years ago

Read 2 more answers

Simplify the expression by combining like terms7m+2n-3m+8n-4m​

Simplify the expression by combining like terms7m+2n-3m+8n-4m