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3 years ago

What is -4 (-6x + 3) = 12

Mathematics

2 answers:

IgorC [24]3 years ago

6 0

Answer: x = 1

Step-by-step explanation:

Simplifying

-4(-6x + 3) = 12

Reorder the terms:

-4(3 + -6x) = 12

(3 * -4 + -6x * -4) = 12

(-12 + 24x) = 12

Solving

-12 + 24x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 24x = 12 + 12

Combine like terms: -12 + 12 = 0

0 + 24x = 12 + 12

24x = 12 + 12

Combine like terms: 12 + 12 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

svetlana [45]3 years ago

6 0

Answer:

Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!

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Does anyone know this ?

vodomira [7]

Answer:

Always

Step-by-step explanation:

If the irrational parts of the numbers have zero sum, the sum is rational. If not, the sum is irrational. It is true, for example, for 2 7, 3. It is false, for example, for3+2 5,−2 5 .

5 0

3 years ago

Read 2 more answers

It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s

Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3>Solution:</h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

Formula to remember:

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that $speed = \frac{distance}{time}$

$\frac{distance}{time} = x + y$

$x + y = \frac{12}{3}$

x + y = 4 ------ eqn 1

For upstream:

Speed upstream = x - y

$\frac{12}{4} = x - y$

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph = 3.5 mph

6 0

3 years ago

2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k = 45 у о Help

Gekata [30.6K]

(5,7) because when you divide that’s the answer you get

8 0

3 years ago

Use the circle graph to determine how many hours per day Becky spends on each activity.

Oduvanchick [21]

404 error: graph not found

anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours

all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity

percent means parts out of 100 so x%=x/100

so we have
School
Eating
Sleep
Homework
Free Time

School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours

Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours

Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours

Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours

Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours

Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours

3 0

3 years ago

20 points

SVEN [57.7K]

Answer:

60in

Step-by-step explanation:

Given data

Length= 24 in

Width = 18 in

Diagonally, we need to find using the Pythagoras theorem

D^2= L^2+W^2

D^2= 24^2+18^2

D^2= 576+324

D^2= 900

Square both sides

D= √900

D= 30 in

For both sides

=30*2= 60in

8 0

3 years ago