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SashulF [63]
4 years ago
9

Elimination method using multiplication:3x+2y=0 and x-5y=17

Mathematics
2 answers:
Greeley [361]4 years ago
8 0

Answer:

(2,-3)

Step-by-step explanation:

have to multiply (-3) to the second equation to get -3x + 15y = 51 then you add  both equations .the 3 is remove (postive and negative cancels out )

2y+15y= 17y

0-51+-51

divide both sides by 17 y

-51/17= -3

then you plug -3 into the first equation  and get

x= 2

y=-3

ValentinkaMS [17]4 years ago
7 0

Answer:

x=2 y=- 3

Step-by-step explanation:

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FrozenT [24]

Answer: Choice D

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Explanation:

The formula for the surface area of a cylinder is

SA = 2\pi*r^2 + 2\pi*r*h

We then replace r with 10 and h with 25. Keep in mind that the diameter is 20 mm, so the radius is half that at 10 mm.

So that's how we get to

SA = 2\pi*10^2 + 2\pi*10*25

8 0
3 years ago
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If Katarina runs at a pace of 5 mph, how many miles can she run in 4 hours? A. 22 miles B. 20 miles C. 21 miles D. 19 miles
Anvisha [2.4K]

Answer:

20 miles

Step-by-step explanation:

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3 years ago
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Find the area and the circumference of a circle with radius 6cm.
OLga [1]

Answer:

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle

π is a constant whose value is 3.14

From the information given,

Radius = 6 cm

Therefore,

Circumference = 2 × 3.14 × 6

Circumference = 37.68 cm

The formula for determining the area of a circle is expressed as

Area = πr²

Area = 3.14 × 6² = 113.04 cm²

4 0
4 years ago
50% of a certain number is 39. What is the number?
Allushta [10]
Let that certain number be 'n'

50% (n) = 39

50% ⇒ 0.5

0.5 (n) = 39

Divide both sides by 0.5

0.5n = 39
 /0.5    /0.5

n = 78.

So that certain number is actually <em><u>78! :)</u></em>

CROSS CHECK:

50% of 78

0.5 × 78

= 39

Hope this helps! :)
 
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3 years ago
An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho
Sindrei [870]

Answer: 8 minimum work stations is what would be needed.

Step-by-step explanation:

The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

The average cycle time is as follow:

The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

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8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

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3 years ago
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