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1 year ago

Solve: 6(1-3x) +2(2x-3)=0

Mathematics

2 answers:

Artist 52 [7]1 year ago

8 0

Answer:

Step-by-step explanation:

6 ( 1 - 3x ) + 2 ( 2x - 3 ) = 0

First solve the brackets

6 - 18x + 4x - 6 = 0

Now combine like terms

6 - 14x - 6 = 0

And now let us solve for x

-14x = 6 - 6

Divide both sides by (- 14)

-14x = 0

x = 0

Hope this helps you :-)

Let me know if you have any other questions :-)

Radda [10]1 year ago

7 0

Answer:

x = 0

Step-by-step explanation:

→ Expand out the brackets

6 - 18x + 4x - 6 = 0

→ Collect all the like terms

-12x = 0

→ Now solve

x = 0

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Answer:

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Step-by-step explanation:

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2 years ago

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The sum of 5 times a number and <br> minus −2, plus 7 times a number

Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = $5*x - (-2)$ = $5x +2$

Adding seven times the number to this expression yields, $5x+2+7x$

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So the simplified expression corresponds to 12x + 2.

6 0

3 years ago

A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and

Naya [18.7K]

<h2>The number of small buses used = 5</h2><h2>The number of big buses used = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus = 40

So, the capacity of x buses = 40(x) = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus = 50

So, the capacity of y buses = 50(y) = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus) = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available = 9

⇒ x + y = 9 ..... (2)

Also, x ≤ 8, y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x + y = 9 ⇒ y = (9-x) put in (1)

40 x + 50 y = 400 ⇒ 40 x + 50 (9-x) = 400

or, 40 x + 450 - 50 x = 400

or, - 10 x =- 50

or, x = 5 ⇒ y = (9-x) = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used = 4

8 0

3 years ago

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

docker41 [41]

Hi There!

Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps

Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900

Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500

Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800

Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250

Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250

Answer: they have the same number steps at 12:45 p.m.

Hope This Helps :)

3 0

2 years ago

I have attached the problem in a picture below!

lesantik [10]

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

$\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7$

Therefore, the answer is A. as the solution is x = 5 or -7

4 0

11 months ago

Solve: 6(1-3x) +2(2x-3)=0​

Solve: 6(1-3x) +2(2x-3)=0