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AlekseyPX
3 years ago
12

Solve the system of equations using a matrix. x + 5y = 14 4x-y = 35

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0
Answer: x = 14 - 5y
y = 14/5 - x/5( if you solve for y )

2nd one x = 35/4 + y/4
y = -35 +4x ( solve for y )
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The number of solutions of the system of equations is 904 086
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3 years ago
A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm.
LenaWriter [7]

Answer:

78.04 square cm

Step-by-step explanation:

Area of shaded region = area of circle - Area of rectangle

= \pi \:  {r}^{2}  - l \times w \\  = 3.14 \times  {6}^{2}  - 7 \times 5 \\  = 3.14 \times 36 - 35 \\  = 113.04 - 35 \\  = 78.04 \:  {cm}^{2}

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4 0
3 years ago
there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same ti
Rus_ich [418]
<h3>Answer:   60 minutes</h3>

=====================================================

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

  • multiples of 4 are: 4,8,12,16,20,24,...
  • multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

  • multiples of 20 are: 20,40,60,80,...
  • multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every <u>60 minutes</u>

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

8 0
2 years ago
a chinchilla weighs 2 pounds its weight is 1/8 the weight of a koala write an expression and solve it to show how much the koala
Wittaler [7]
So you can say that the weight of a koala here can be x.

So x * 1/8 = 2

2 being the chinchilla's weight and the 1/8 coming from the fact that the chinchilla weighs 1/8 of the weight of the koala.

So you can just divide both sides by 1/8 first.

x * 1/8 = 2

/ 1/8       / 1/8

Or,

x *1/8 * 8/1 = 2 * 8/1

x = 16

So the koala weighs 16 pounds.
6 0
3 years ago
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