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3 years ago

What is x in the equation -3(7-2x)+3=8x-10

Mathematics

2 answers:

damaskus [11]3 years ago

4 0

Answer:

x=-4

Step-by-step explanation:

−3(7−2x)+3=8x−10

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

−2x−18=−10

Step 3: Add 18 to both sides.

−2x−18+18=−10+18

−2x=8

Step 4: Divide both sides by -2.

−2x

−2

x=−4

3241004551 [841]3 years ago

3 0

Answer:

-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

−2x−18=−10

Step 3: Add 18 to both sides.

−2x−18+18=−10+18

−2x=8

Step 4: Divide both sides by -2.

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snow_tiger [21]

Answer:

he can rent the camera for 5 days and will have $5 left over

Step-by-step explanation: he only has $50 , and he has to pay 15 to register which will leave him with 35 left over and then he pays $6 each day and it would be 5 days of renting.

50-15+35

6x5=30 which means he pays $6 everyday for 5 days

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2 years ago

Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil

Alecsey [184]

Answer:

tulips bulbs cost $5; and daffodil bulbs costs $8

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs= t

Daffodil bulbs= d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t+ 6d= 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t+ 4d= 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t+ 6d-6t = 78-6t

6d/ 6= (-6t+78)/6

d= -t+13

Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t+ 4(-t+13) = 62

6t- 4t+52 = 62

2t = 10

t= 5

Substituting t=5 for the value of t in equation 1, and solve of d.

6(5)+ 6d= 78

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3 years ago

Twenty-eight people in student council are running for the offices of president and vice-president. In how many different ways c

motikmotik

I think the answer is 55

5 0

3 years ago

Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the

Igoryamba

First let's try to find the equation in this form : y = mx + c

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

 $y= 3x + c$

Now a point that the line passes through is given, (1, 2)

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, $x=1$ and $y=2$

$y = 3x + c$

$2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c$

We found c = -1

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

$m=3$ and $c=-1$

$y= mx + c$

$y= 3x -1$

We found the line's equation in this form, $y= mx + c$

Now let's turn it into this form, $ax + by + c = 0$

$y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0$

Final answers,

$\boxed { y\quad =\quad 3x-1 }$

and

$\boxed { -3x+y+1\quad =\quad 0 }$

I hope this was clear enough :)

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3 years ago

Read 2 more answers

PLS HELPPPPP DUE TODAYYYY

Dafna1 [17]

1. y=4x

2. y=-7x-8

3. y=5x+63

4. y=¾x+8

5. y=-3x-½

6. y=1x-3

7. y=2

8. y=-2x+1

9. y=4x+7

work for 9

1=4(2)+b

1= 8 +b

-8 -8

7=b

10. y=0

11. y=¾x+6

work for 11

9 =¾(4)+b

=¾(4)+b9 = 3 +b

+b-3=-3

+b-3=-3 6=b

12. sorry I haven't done thai one in a while.

I was too lazy to include the work for the first couple of answers although I recommend.

M

A

T

H

W

A

Y

they include work with ads

6 0

3 years ago