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Papessa [141]
2 years ago
12

half of the students in Megan's class have a dog. one-third of the students with a dog also have a cat. What fraction of student

s have a cat and dog?
Mathematics
1 answer:
Oxana [17]2 years ago
5 0
Since half have a dog and 1/3 have a cat. So you do 3 times 2 because they are denominators. You would get 6 so you would turn the denominators to 6, so the fractions would be 3/6 and 2/6 and then you add them which is 5/6 so 5/6 is your answer.
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How to find the circumference for a 3 inch circle using 3.14 for pi
Vladimir79 [104]

Answer: C is approximately 9.42.

Step-by-step explanation: the radius is 1.5 and the C formula is 2 x pi x r = 2 (3.14)(1.5)

6 0
2 years ago
Determine a área total e perímetro da figura a seguir:<br><br> Apresente os cálculos.
ra1l [238]

Answer:

Área: 6x2=12, 2x3=6, 10x3=30, 30+6+12=48; <u>área = 48</u>

Perímetro: 10+3+6+2+6+5+2+3+2+3=42; <u>perímetro = 42</u>

6 0
2 years ago
4. Find the value of x &amp; y from the following equation 4x+5y=90, x+y=20 a. 10, 15 b. 10, 5 c. 10, 8 d. 10, 10​
ira [324]

An equation is formed of two equal expressions. In the two of the given equations, the value of x and y are 10 and 10, respectively. The correct option is D.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two of the equation, which can be named as,

4x+5y=90   ...... equation 1

x+y=20   ............ equation 2

Solve the second equation for x,

x + y = 20

x = 20 - y ................ equation 3

In the first equation substitute the value of x from the third equation,

4x + 5y = 90

4(20 - y) + 5y = 90

Solving the equation for y,

80 - 4y + 5y = 90

y = 90 - 80

y = 10

Substitute the value of y in the second equation, to get the value of x,

x + y = 20

x + 10 = 20

x = 20 - 10

x = 10

Hence, In the two of the given equations, the value of x and y are 10 and 10, respectively.

Learn more about Equation here:

brainly.com/question/10413253

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3 0
1 year ago
Read 2 more answers
Suppose . has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if o
V125BC [204]

The points are (0,0) Minimum and (1/6, 1/18) is the saddle point.

What is the saddle point?

  • A saddle point, also known as a minimax point, is a place on the surface of a function's graph where the slopes in orthogonal directions are all zero but the function does not have a local extremum.

To solve the question we have:

f(x,y) = xy(1-2x-6y)

Therefore, f(x,y) = xy-2x²y-6xy²

Finding the partial derivative of the above gives:

fₓ = y - 4xy-6y²

= x - 2x²-12xy

Therefore, when the above equations are set to 0 we get:

y - 4xy-6y² = 0.......(1)

x - 2x²-12xy  = 0......(2)

Dividing equations (1) and (2) by y and x respectively give:

1 - 4x - 6y = 0

1 - 2x - 12y = 0  

Solving gives:

x = 0.167 = 1/6

y = 0.056 = 1/18

When we place x in equation (1) we have:

y - 4(1/6)y-6y² = 0

y = 0 or y = 1/18

Similarly, x = 0 or 1/6

Therefore, the four critical points are:

(0,0) (1/6,1/18)

When x = 0 and y = 0

f(x,y) = 0 Hence this is a minimum

When x = 1/6 and y = 1/18

f (x,y) = 1/324 Which is a saddle point.

Therefore, the points are (0,0) Minimum, and (1/6, 1/18) is the saddle point.

Know more about saddle point here:

brainly.com/question/17465347

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The question you are looking for is here:

(1 point) The function f(x,y)=xy(1−2x−6y) has 4 critical points. List them and select the type of critical point. Points should be entered as ordered pairs and listed in increasing lexicographic order. By that, we mean that (x,y) comes before (z,w) if x

4 0
1 year ago
Don has two jobs for job 1 he earns 7.55 an hour. For job 2 he earns 8.45 an hour last week he worked at the first job for 10 ho
Crazy boy [7]

Answer:

for the first job is $75.05 and for the second job is $126.75

8 0
3 years ago
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