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enyata [817]
2 years ago
10

What is the solution to x + 8 = 19​

Mathematics
2 answers:
ANTONII [103]2 years ago
8 0

Answer:

11

Step-by-step explanation:

19-8=11 that's your answer

fomenos2 years ago
5 0

x + 8 = 19

11 + 8 = 19

x = 11

ANSWER: 11

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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 train travels 68 kilometers in 2 hours, and then 64 kilometers in 3 hours. What is its average speed
skad [1K]
Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
                         = 68km+64km / 2 hrs.+3hrs.
                         = 132km / 5hrs.
                         = 26.4km/hr.
Therefore, the train's average speed is 26.4km/hr.
5 0
3 years ago
What is the arc measure of DBC in degree
aliya0001 [1]

The length of both AB and DC is the same.

19 degrees

We want to know the arc measure for the whole circle, except for DC. So, we can subtract the arc measure of DC from 360 to find DBC. Since we found DC above, all we need to do is subtract.

360 - 19 = 341

DBC = 341 degrees

Hope this helps!! :)

8 0
3 years ago
In a fruit cocktail for every 100ml Orange juice you need 12ml Apple juice and 8ml of coconut milk what is the ratio of Apple ju
gayaneshka [121]
12:8:100= 3:2:25 is the simplest form
4 0
2 years ago
-2/5x+6=8 can you help me
ale4655 [162]
If you would like to solve the equation - 2/5 * x + 6 = 8, you can do this using the following steps:

- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2    /*(-5/2)
x = 2 * (- 5/2)
x = - 5

The correct result would be -5.
7 0
3 years ago
Read 2 more answers
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