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il63 [147K]
3 years ago
7

the dot plot above identifies the number of pets living with each of 20 families in an apartment building .what fraction of fami

lies have more than two pets

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

B. ⅕

Step-by-step explanation:

Fraction of families having more than 2 pets = families with pets of 3 and above ÷ total number of families in the apartment

From the dot plot above, 3 families have 3 pets, and 1 family has 4 pets.

Number of families with more than 2 pets = 3 + 1 = 4

Fraction of families with more than 3 pets = \frac{4}{20} = \frac{1}{5}

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inysia [295]

Answer: 0.8 in^2 (as in inches squared)

Step-by-step explanation:

1. DO NOT FOCUS ON THE 1 ON THE LEFT! JUST FOCUS ON THE BASE AND HEIGHT!

2. Area= b*h

3. Plus in your numbers. Area=1*0.8.

4. Multiply. Area=0.8in^2.

6 0
4 years ago
Find the area of a triangle with sides 8 equals 5 b equals 8 and C equals 11
IceJOKER [234]
I round the answer to the second digit and get 18.33

4 0
4 years ago
I need someone to explain to me how to solve this, because I need to show my work.
masha68 [24]
So to find the answer you have to know what the mixture is, what the trend is,

on day one he used 4 cans of blue and 6 cans of yellow

day two, 6 blue and 9 yellow

both are divisible by 2 and 3 respectively, additionally when you divide the number of blue cans Marc used by the number of yellow cans each day you get a sum of .66

those are the trends

so therefore day three would have the same trend.


Now on day three Marc will have 4 cans of blue paint and 5 cans of yellow paint remaining, what I did here to find the answer was divide numbers under 4 and 5 until I got a division problem that equaled .66

my answer was 2 blue cans and 3 yellow.

The answer is that on day three the highest number of cans that Marc can mix to get his favorite shade of green is 2 blue and 3 yellow

4 0
3 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by
a_sh-v [17]

Answer:

Dimension of the box is 16.1\times 7.1\times 2.45

The volume of the box is 280.05 in³.

Step-by-step explanation:          

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is L=21-2h

The width of the box is W=12-2h

The volume of the box is V=L\times W\times H

V=(21-2h)\times (12-2h)\times h

V=(21-2h)\times (12h-2h^2)

V=252h-42h^2-24h^2+4h^3

V=4h^3-66h^2+252h

To maximize the volume we find derivative of volume and put it to zero.

V'=12h^2-132h+252

0=12h^2-132h+252

Solving by quadratic formula,

h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}

h=\frac{132\pm72.99}{24}

h=2.45,8.54

Now, substitute the value of h in the volume,

V=4h^3-66h^2+252h

When, h=2.45

V=4(2.45)^3-66(2.45)^2+252(2.45)

V\approx 280.05

When, h=8.54

V=4(8.54)^3-66(8.54)^2+252(8.54)

V\approx -170.06

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is L=21-2(2.45)=16.1

The width of the box is W=12-2(2.45)=7.1

So, Dimension of the box is 16.1\times 7.1\times 2.45

6 0
4 years ago
Which rule describes the transformation that is a reflection across the x-axis? (x, y) → (–x, y) (x, y) → (y, x) (x, y) → (x, –y
oksian1 [2.3K]

Answer:

It is (x,-y)

Step-by-step explanation:

you start above the x-axis and go down to the opposite of y.

6 0
3 years ago
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