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lions [1.4K]
3 years ago
7

Can you help me with linear equations by elimination ?

Mathematics
1 answer:
ANEK [815]3 years ago
7 0
The answer is x = 34/19, y = 27/19

3y + 6x = 15
9y - x = 11
_____
Multiply the second eqution by 6:
3y + 6x = 15
54y - 6x = 66
_____
Sum up two equations:
3y + 54y = 15 + 66
57y = 81
y = 81/57
y = (81 : 3)/(57 : 3)
y = 27/19

Use the second equation to calculate x:
<span>9y - x = 11
</span>x = 9y - 11
x = 9 * 27/19 - 11
x = 243/19 - 11 * 19/19
x = 243/19 - 209/19
x = (243 - 209)/19
x = 34/19
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Each cube in this solid figure is a unit cube.<br><br> What is the volume of this solid figure?
padilas [110]

Answer:

The volume of this given solid figure is 18 cubic units.

Step-by-step explanation:

Here, given the volume of 1 small cube = 1 cubic units

Now, counting the total cubes in the given solid figure, we get

Number of cubes in base row = 10

Number of cubes in middle row  = 6

Number of cubes in top most row = 2

So, the total number of cubes in the figure  = 10 + 6 + 2 = 18 cubes

So, the volume of 18 cubes  = 18 ( Volume of 1 small cube)

                                              =  18 x (1 cubic units)  = 18 cubic units

Hence, the volume of this given solid figure is 18 cubic units.

5 0
3 years ago
The radius is 6 and the height is 15 what is the volume in terms of pi the shape is a cone
Alenkinab [10]

Answer:

565.49 or if rounded to the nearest tenth, 565.5

Explanation:

The formula for finding the volume of a cone is V=1/3Bh

B = pi times the radius squared

h = height

Substitute 6 for r and 15 for h.

V= 1/3·\pi·(6^{2})·15

Multiply.

V= 565.49 or 565.5 rounded to the nearest tenth.

4 0
3 years ago
How many litters of apple syrup and water did she use in the ratio of 2:3 and made 1800 ml of such fruit juice
sp2606 [1]

Answer:

720 mL ; 1080 ml

Step-by-step explanation:

Givenn:

Apple syrup : water = 2 : 3

Fruit juice volume made using the ratio above = 1800 ml

Sum of ratio = 2 + 3 = 5

Litres of Apple syrup :

(Syrup ratio / total) * total volume of fruit

(2 / 5) * 1800

= 0.4 * 1800

= 720 ml

Litres of water :

(water ratio / total) * total volume of fruit

(3 / 5) * 1800

= 0.6 * 1800

= 1080 ml

5 0
3 years ago
Please help!!
meriva

Answer:

hi

Step-by-step explanation:

lolol

4 0
3 years ago
What is the equation of the line that passes through point [3,-1] and has a slope of 2
Savatey [412]

Answer:

y = 2x - 7

Step-by-step explanation:

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8 0
3 years ago
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