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viktelen [127]
4 years ago
10

Ruby conducted a survey and found the 5/6 of her classmates have a pet and 2/3 of those pets are dogs.what fraction of her class

mates has dogs?
Mathematics
1 answer:
Pie4 years ago
5 0
To determine the fraction of her classmates with dogs as pets, we simply multiply the two given fractions based from the survey. 

                                       Pets = (2/3)(5/6) = 5/9

Thus, there are 5/9 of Ruby;s car. 
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Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

Length: 10\ in

Width: 8\ in

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

<em></em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

Length: 15 in

Width: 12 in

Divide the corresponding lengths of B by A to get the enlargement ratio

Ratio = \frac{B}{A}

For length:

Ratio = \frac{15}{10}

Ratio = 1.5

For width

Ratio = \frac{12}{8}

Ratio = 1.5

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

Length: 20\ in

Width: 10\ in

Calculate Ratios

Ratio = \frac{B}{A}

For length:

Ratio = \frac{20}{10}

Ratio = 2

For width

Ratio = \frac{10}{8}

Ratio = 1.25

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

5 0
3 years ago
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0
3 years ago
4. Which is the better value? Show your work and explain your choice.
Tems11 [23]
Option B


I think its opinion B because its cheaper
3 0
3 years ago
Is -1 a solution to 4x - 3 &lt; 5?<br> (look at the picture)
inessss [21]

Answer:

Yes

Step-by-step explanation:

Assuming that the question is asking for -1 to be plugged in as x

4(-1)-3≤5

-4-3≤5

-7≤5

5 0
3 years ago
How is 5.67 written in standard form
zvonat [6]
5.00+0.67+0.07 that's it I believe
4 0
3 years ago
Read 2 more answers
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