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Amanda [17]
3 years ago
13

Product of two numbers is -216. If one of the number is 12, find the other number

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

\huge\boxed{-18}

We know that xy=-216, where x and y are the two numbers.

We know that one of the numbers, x, is equal to 12.

12y=-216

We need to find the value of y. To do so, we must isolate it. In this case, we can isolate y by dividing both sides of the equation by 12.

y=\boxed{-18}

Now, let's check our answer. If we multiply the two factors together, we should get a product of -216.

12*(-18)=-216

-216=-216\ \ \huge\checkmark

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Answer:

So, cows heart best is faster than horse.

Step-by-step explanation:

Time and heartbeats are in direct proportion.

   p = kx

Where p is the beats per minute and x represents time in minutes

Now, to find the value of k, substitute p = 152 and x = 4

152 = 4k

  k = 152/4

  k = 38

\sf \boxed{p = 38x}

Cow:  y = 65x

So, cows heart best is faster than horse

7 0
2 years ago
What is y ? x=1 y=? y=3x-7
marishachu [46]

Answer:

-4.

Step-by-step explanation:

y = 3x - 7; x = 1.

y = 3(1) - 7

= 3 - 7

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Hope this helps!

7 0
3 years ago
Read 2 more answers
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

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3 0
3 years ago
A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
vodomira [7]
Answer: 16

Solution:

1) Use letters to identify the variables:

Number of trumpets: t
Number of clarinets: c

2) Translate each statement into algebraic (mathematical) language.

2.1) Sold a total of 27 used trumpets and clarinets

=> t + c = 27

2.2) Trumpets cost $149 and clarinets cost $99

Total cost of the trumpets: 149t
Total cost of clarinets: 99c

Total cost = 149t + 99c

2.3) Total sales were $3223

=> 149t + 99c = 3223.

3) State the system of equations:

Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

4.1) Multiply equation 1 by 149:

=> 149t + 149c = 4023

4.2) Subtract the equation (2) from the equation obtained in 4.1

=> 149c - 99c = 4023 - 3223

=> 50c = 800

=> c = 800 / 50 = 16

5) Verify the solution:

From equation (1) t = 27 - 16 = 11

Total cost = 149*11 + 99*16 = 3223

Now you have a verified answer: they sold 16 clarinets
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