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Ivenika [448]
3 years ago
13

My question is what is 7+6x=3x+3+4x

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

7+6x= 3x+3+4x

7+6x= 3x+4x+3

7+6x= 7x+3

move +7x to the other side

sign changes from +7x to -7x

7+6x-7x= 7x-7x+3

7-x= 3

Move 7 to the other side.

Sign changes from +7 to -7.

7-7-x= 3-7

-x= -4

Multiply by -1

-1(-x)= -1(-4)

x= 4

answer: x= 4

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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
A regular polygon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will ma
UNO [17]
"The lines of reflection are parallel to the sides of the polygon" is the statement that is true about the lines of reflection for the polygon that will map the shape onto itself. The correct option among all the options that are given in the question is the third option or option "C". I hope that the answer has helped you.
4 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIEST
Mice21 [21]

Answer:

180 i think if you are not sure with my ans then just don't use it k bey

Step-by-step explanation:

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horrorfan [7]
1414 I believe is the answer
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what graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at
lidiya [134]

A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given situation can be drawn as shown below, where the x-axis represents the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and the y-axis represents the total cost of the rice.

Learn more about Graph:

brainly.com/question/21608293

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