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Olegator [25]
2 years ago
6

Please do 3 hurry!!!!

Mathematics
1 answer:
Sedaia [141]2 years ago
4 0

Here is the answer above. Click to view

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(4x-1) /2=x+7<br>4x-1 all over 2 = x +7​
Damm [24]

Answer:

x = \frac{15}{2}

Step-by-step explanation:

Given

\frac{4x-1}{2} = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2(x + 7) ← distribute

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = \frac{15}{2}

7 0
3 years ago
Lizzy and Ella sold 10 boxes of cookies for $55.50. How much does each box of cookies cost? Show all your work and explain how y
densk [106]
55.50/ 10 boxes =5.50 that is  cost of 1 box. 
5 0
3 years ago
3/7 divide 2/9 explain pls
lubasha [3.4K]

Answer:

27/14

Step-by-step explanation:

to divide by a fraction flip the fraction over and multiply

3/7 divided by 2/9

flip 2/9

3/7 times 9/2

just multiply the top and bottoms by each other

27/14

6 0
3 years ago
Read 2 more answers
Where I had $480 he used 2/3 of it to buy an electric van he also bought a tea set for $60 how
yawa3891 [41]

2/3 of 480 is 480 divided by 3 and that number times 2, which is 320. The man or woman probably used $60 of this to buy the tea set, which leaves them with $260.

8 0
3 years ago
A small plane took 3 hours to fly 960 km from Ottawa to Halifax with a tail wind. On the return trip, flying into the wind, the
Rina8888 [55]

Answer:

  • Wind speed: \rm 40\; km \cdot h^{-1}.
  • Speed of the plane in still air: \rm 320\; km \cdot h^{-1}.

Step-by-step explanation:

This problem involves two unknowns:

  • wind speed, and
  • speed of the plane in still air.

Let the speed of the wind be x \rm \; km \cdot h^{-1}, and the speed of the plane in still air be y\rm \; km \cdot h^{-1}. It takes at least two equations to find the exact solutions to a system of two variables.

Information in this question gives two equations:

  • It takes the plane three hours to travel \rm 960\; km from Ottawa to with a tail wind (that is: at a ground speed of x + y.)
  • It takes the plane four hours to travel \rm 960\; km from Halifax back to Ottawa while flying into the wind (that is: at a ground speed of -x + y.)

Create a two-by-two system out of these two equations:

\left\{ \begin{aligned}&3(x + y) = 960 && (1) \\ &4(-x + y) = 960 && (2) \end{aligned}\right..

There can be many ways to solve this system. The approach below avoids multiplying large numbers as much as possible.

Note that this system is equivalent to

\left\{ \begin{aligned}&4 \times 3 (x + y) = 4\times960 && 4 \times (1) \\ &3\times 4(-x + y) = 3\times 960 && 3 \times (2) \end{aligned}\right..

\left\{ \begin{aligned}&12 x + 12y = 4\times960 && 4 \times (1) \\ &- 12x + 12y = 3\times 960 && 3 \times (2) \end{aligned}\right..

Either adding or subtracting the two equations will eliminate one of the variables. However, subtracting them gives only 1 \times 960 on the right-hand side. In comparison, adding them will give 7 \times 960, which is much more complex to evaluate. Subtracting the second equation (3 \times (2)) from the first (4 \times (1)) will give the equation

(12 - (-12) x = 1 \times 960.

24 x = 960.

x = 40.

Substitute x back into either equation (1) or (2) of the original system. Solve for y to obtain y = 320.

In other words,

  • Wind speed: \rm 40\; km \cdot h^{-1}.
  • Speed of the plane in still air: \rm 320\; km \cdot h^{-1}.
3 0
3 years ago
Read 2 more answers
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