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Lostsunrise [7]
3 years ago
7

-4x – 2y=-12 4x + 8y=-24 Solve each system by elimination

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

x = 6 and y = - 6

Step-by-step explanation:

- 4 x - 2 y = -12.......equ No 1

 4 x +  8y = - 24.......equ No 2

Adding equ No 1 and equ No 2

6 y = - 36

∴ y = - 6

substitute y = - 6 in equ No 2

4 x + 8 y = -24

4 x + 8 ×( -6) = - 24

4 x - 48 = -24

4 x = -24 + 48

4 x = 24

∴ x = 6

x = 6 and y = - 6

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup
mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = \frac{2.5}{2}=1.25

Height of can = 2.5\times 3=7.5

The volume of sphere is

V=\dfrac{4}{3}\pi r^3

where, r is radius of sphere.

The volume of a tennis balls is

V=\dfrac{4}{3}\pi (1.25)^3

V=8.18123

V\approx 8.18

Volume of three tennis balls is

V_1=3\times 8.18=24.54

The volume of cylinder is

V=\pi r^2h

The volume of can is

V_2=\pi (1.25)^2(7.5)

V_2=36.81553

V_2\approx 36.82

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

            = 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

3 0
3 years ago
Find the product of largest 4 digit number and<br><br>smallest 3 digit number.​
Afina-wow [57]
Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900
3 0
2 years ago
Read 2 more answers
In the following equation y = 2x + 3, what value represents the growth?<br> Group of answer choices
iogann1982 [59]

Answer:

isn't it 2x?

Step-by-step explanation:

4 0
3 years ago
1. How do you find the absolute deviation of a value from the mean of the data set?
nirvana33 [79]
Here's how to calculate the mean absolute deviation. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 4: Divide the sum by the number of data points.
7 0
3 years ago
Find the value of the variable and DF if D is between C and F if CD 4y -9, DF 2y-7, and CF 14.
Yuri [45]
CF = CD + DF (since D is simply a point on the line, and C to that point added onto F to that point is CF), so 4y-9+2y-7=14. Adding it up, we get 6y-16=14 and adding by 16 we get 30=6y. Dividing both sides by 6, we get y=5. Plugging that into DF, we get 10-7=DF=3
4 0
2 years ago
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