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Lemur [1.5K]
3 years ago
10

every sixth visitor to an animal shelter gets a free animal calendar every 20th visitor gets a free animal toy which visitor eac

h day will be the first want to get both the calendar and the animal toy
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0
To find this answer, all we have to do is identify the least common multiple of 6 and 20

the lowest number that both of these numbers can go into evenly is 60

so each 60th visitor gets both
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When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
kogti [31]

Answer:

The divisor is called a factor of the dividend.

Step-by-step explanation:

Hope this helps

(Brainliest is appreciated)

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2 years ago
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Examine the following system of inequalities.
lubasha [3.4K]

Answer:

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

y > -x+4 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=-x+4

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

y \leq -(1/2)^{x} +6 -----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-(1/2)^{x} +6

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

7 0
3 years ago
To multiply (6x+5)(6x−5),
Nady [450]

Answer: Here are the answers

8 0
3 years ago
Problem: A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new hou
Musya8 [376]

The entry and exit points of (2, 3), and (12, 6), and 200 ft. extension of the sprinkler system gives;

(1) The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

(2) The longest installable sprinkler system is approximately 172.4 feet

<h3>How can the points where the line crosses the farmland be found?</h3>

1. The slope of the sewer line is found as follows;

  • m = (6 - 3)/(12 - 2) = 3/10 = 0.3

The equation of the sewer line can be expressed in point and slope form as follows;

  • (y - 3) = 0.3×(x - 2)

y = 0.3•x - 0.6 + 3

y = 0.3•x + 2.4

The equation of the circumference of the sprinkler can be expressed as follows;

  • (x - 8)² + (y - 3)² = 2²

Therefore;

(x - 8)² + (0.3•x + 2.4 - 3)² = 2²

Solving gives;

x= 6.53, or x = 8.48

y = 0.3×6.53 + 2.4 = 4.36

y = 0.3×8.48 + 2.4 = 4.9

Therefore;

  • The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

2. When the farmland does not cross the sewer line, we have;

sewer line is tangent to circumference of farmland

Slope of radial line from center of the land is therefore;

m1 = -1/0.3

Equation of the radial line to the point the sewer line is tangent to the circumference is therefore;

y - 3 = (-1/0.3)×(x - 8)

Which gives;

y = (-1/0.3)×(x - 8) + 3

The x-coordinate is therefore;

0.3•x + 2.4 = (-1/0.3)×(x - 8) + 3

  • x ≈ 7.5

  • y = 0.3 × 7.5 + 2.4 ≈ 4.65

The longest sprinkler system is therefore;

d = √((7.5 - 8)² + (4.65 - 3)²) ≈ 1.724

Which gives;

  • The longest sprinkler system is 1.724 × 100 ft. ≈ 172.4 ft.

Learn more about the equation of a circle here:

brainly.com/question/10368742

#SPJ1

3 0
2 years ago
How could y squared be rewritten?<br>​
sammy [17]

Answer:

y^2 OR y²

y² is the more accurate way to write it, however both should work

8 0
2 years ago
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