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3 years ago

Solve the inequality 3x< 7+3

Mathematics

2 answers:

Eduardwww [97]3 years ago

7 0

Answer:

divide both side of the equation by 3,

3x < 7+3

x < 10/3

Step-by-step explanation:

VladimirAG [237]3 years ago

3 0

Answer:

3/10

Step-by-step explanation:

3x<10

x<10/3.............

so easy

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Which best describes the relationship between the successive terms in the sequence shown?

Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = $\frac{2nd term}{first term}$ = $\frac{-4.8}{2.4} = -2$

Common ratio of 2nd and 3rd terms = $\frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0$

So, the given series has common ratio as -2.0

7 0

3 years ago

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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

Sergeu [11.5K]

Answer:

$9C=5(F-32)$

Step-by-step explanation:

The equation which can convert the temperature from degree Celsius into degree Fahrenheit is given as under

$9C=5(F-32)$

We can solve it further for F as

$9C=5F-5 \times 32$

$9C=5F-160$

$9C+160=5F$

Dividing both sides by 5 we get

$\frac{9C}{5}+32=F$

$F=\frac{9C}{5}+32$

Now substituting values of C in this equation will give us the corresponding values of F

Ex : C=1

$F=\frac{ 9\times 1}{5}+32$

$F=\frac{ 9+160}{5}$

$F=\frac{ 169}{5}$

Hence 1 degree Celsius is $\frac{ 169}{5}$ degree Fahrenheit

4 0

3 years ago

What is the perimeter of a quadrilateral with vertices at (3,-6),(8,-6),(3,-4), and (8,-4)

Eduardwww [97]

Answer:

im sorry i dont know but this is for a challenge

Step-by-step explanation:

3 0

2 years ago

Which equation is a point-slope form of the equation of this line?

steposvetlana [31]

Slope = (7 -1)/(1+2) = 6/3 = 2

equation of <span>point-slope form

y - 1 = 2(x + 2)

hope it helps</span>

8 0

3 years ago

Read 2 more answers