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2 years ago

Simplify. 5 + 2(3x − 4) − x

Mathematics

1 answer:

VMariaS [17]2 years ago

8 0

5+2(3x-4)-x
5+6x-8-x
it is simplified to -3+5x

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A certain ferry moves up and down a river between Town A and

Blizzard [7]

Answer: 60 miles

Step-by-step explanation:

Given

It takes ferry 2 hours to travel to town A and only $1.5\ hr$ to travel back to town B.

Speed of current is $u=5\ mph$

Suppose the speed of the ferry is $v$ mph

Distance traveled in both the cases is same, but it took more time traveling to city A that is, ferry is moving upstream and downstream for returning time.

$\Rightarrow 2(v-5)=1.5(v+5)\\\Rightarrow 2v-10=1.5v+7.5\\\Rightarrow 0.5v=17.5\\\Rightarrow v=35\ mph$

Distance between the towns is $2\times (35-5)=60\ \text{miles}$

5 0

2 years ago

Read 2 more answers

What is the sum of 3 3/4 + 1 1/2=?

Gnesinka [82]

You need to find the least common denominator first which is 4. 3 3/4 can stay the same but you must have like denominators to add so change 1 1/2 to 1 2/4 by multiplying by 2/2. You know have like denominators and you can add whole numbers first 3+1=4 and then the fractions 3/4+2/4= 5/4 which is also 1 1/4. Now you add 4 so your answer is 5 1/4

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20-%20%284x%20-%2015%29%20%5Cgeqslant%20-%209%283%20%2B%20x%29" id="TexFormula1" title=" - (4

Kay [80]

$- (4x - 15) \geqslant - 9(3 + x) \\ - 4x + 15 \geqslant - 27 - 9x \\ - 4x + 9x \geqslant - 27 - 15 \\ 5x \geqslant - 42 \\ x \geqslant - 8 \dfrac{2}{5}$

$21 + x > 2( - 2 - 5x) + 6x \\ 21 + x > - 4 - 10x + 6x \\ x + 10x - 6x > - 4 - 21 \\ 5x > - 25 \\ x > - 5$

Hope this helps. - M

5 0

2 years ago

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.

Lina20 [59]

Answer:

<h3>⇒ A. 2 should be distributed as 2y + 12, y = 6</h3>

Step-by-step explanation:

Here are the steps to solve this equation:

<u>Given:</u>

First step: 2(y+6)-4y

Use the distributive property.

<u>Distributive property:</u>

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

$\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}$

Solve.

Divide the numbers from left to right.

<u>Solutions:</u>

-12/-2=6

$\Longrightarrow: \boxed{\sf{y=6}}$

<u>Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".</u>

I hope this helps. Let me know if you have any questions.

4 0

1 year ago

Write 504 as a product of powers of its prime factor

34kurt

504 = 2 x 2 x 2 x 3 x 3 x 7

8 0

3 years ago