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MatroZZZ [7]
2 years ago
7

B/ 21 Marks

Mathematics
1 answer:
Serggg [28]2 years ago
5 0

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is y2-y1/x2-x1

= 10/1/ 3-0

= 9/3

= 3.

Using the point-slope form for a straight line:

y-y1 = m(x-x1)     (m = slope)

y - 10 = 3(x - 3)

y - 10 = 3x - 9

y = 3x - 9 + 10

y = 3x + 1  is the required equation.

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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
Martha has driven about 2/3 the distance she needs to go to reach her aunt's house. Her brother Jackson is making the same trip
Harman [31]
The answer is A. Martha has a shorter distance left to get to the aunt’s house than Jackson since 2/3 is .667 or 67%. Therefore this statement is false
5 0
2 years ago
Read 2 more answers
Find Sn for the given arithmetic series a1=-26 d=-9 n=24
ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a_{1} + (n - 1)d ]

Substitute the given values into the formula

S_{24} = \frac{24}{2} [ (2 × - 26) + (23 × - 9) ]

                          = 12 ( - 52 - 207 )

                         = 12 × - 259 = - 3108

5 0
3 years ago
Solve 4(-4x- 3)> 36
wariber [46]

Answer:

x=3

Step-by-step explanation:

Simplifying

4(4x + -3) = 36

Reorder the terms:

4(-3 + 4x) = 36

(-3 * 4 + 4x * 4) = 36

(-12 + 16x) = 36

Solving

-12 + 16x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 16x = 36 + 12

Combine like terms: -12 + 12 = 0

0 + 16x = 36 + 12

16x = 36 + 12

Combine like terms: 36 + 12 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

8 0
3 years ago
Read 2 more answers
Solve 18 > 12 + 2. Graph the solution.
Whitepunk [10]

Answer:

Step-by-step explanation:

      7

2

Decimal Form:

3.5

Mixed Number Form:

3

12

7 0
3 years ago
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