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Bess [88]
3 years ago
5

−12x−5y=40 12x−11y=88 Solve the systems of equations

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

y = 8

x = 6.7

Step-by-step explanation:

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Gross pay $23760 married with 3 dependents state income tax rate 4%
Mrac [35]

Answer:

950.40

Step-by-step explanation:

3 0
3 years ago
Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?
goldfiish [28.3K]
A 5 or a queen

52 cards per deck
each card repeats 4 times

a 5 or a queen
there are four 5's and four queens
4+4=8

probablity=desiredoutcomes/totalpossible
probablity=8/52
probablity=4/26
probablity=2/13
5 0
3 years ago
Related rates(calculus)
telo118 [61]

Answer:

The volume increases at a rate of 125663.71 mm^ 3 / s

Step-by-step explanation:

The rate of change of the radius with respect to time is 4 mm / s.


So:


\frac{dr}{dt} = 4mm / s

Now we must find a relationship between the volume of a sphere and its radius.


The equation of the volume of a sphere is:


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

So:


\frac{dV}{dt} = \frac{4}{3}\pi * 3r ^ 2 * \frac{dr}{dt}\\\frac{dV}{dt} = 4\pi r ^ 2 * 4\\\frac{dV}{dt} = 16\pi r ^ 2

The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.


So:


\frac{dV}{dt} = 16\pi (50) ^ 2\\\frac{dV}{dt} = 40000\pi mm^3 / s


The volume increases at a rate of :

40000 π mm ^ 3 / s = 125663.71 mm^3/s

7 0
3 years ago
Find the circumference of the circle. Use 3.14
Alisiya [41]

Answer:

62.8

Step-by-step explanation:

the circumference is equal to the radiusx2xpi

it gives us the diameter but not the radius

to find the radius from the diameter we just divide it by 2 so the radius is 10

then we just do 10x2x3.14 which is 62.8

8 0
3 years ago
Question:
kolbaska11 [484]

Answer:

<u>Proportional relationship formula:</u>

  • y = kx, where k is the constant of proportionality

Use one of the ordered pairs to calculate the value of k

<h3>Company A</h3>

Point (2, 20)

  • 20 = k*2
  • h = 20/2
  • k = 10

The equation: y = 10h

<h3>Company B</h3>

Point (3, 20)

  • 20 = k*3
  • k = 20/3
  • The equation: y = 20/3h

Company A has greater unit rate as 10 > 20/3

3 0
3 years ago
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