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2 years ago

Each sheep has 4 legs and each chicken has 2 legs.if a farm boy counts 50 heads and 130 feet, how many sheep are there

Mathematics

1 answer:

slavikrds [6]2 years ago

6 0

Answer:

15 sheep

Step-by-step explanation:

1 leg = 1 foot

1 head = 1 animal

Suppose all the animals are chickens:

50 × 2 = 100

130 - 100 = 30

4 - 2 = 2

30 ÷ 2 = 15

Hence, there are 15 sheep.

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The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic

pishuonlain [190]

The five-number summary and the interquartile range for the data set are given as follows:

Minimum: 24.

Lower quartile: 29.

Median: 43.

Upper quartile: 50.

Maximum: 56.

Interquartile range: 50 - 29 = 21.

<h3>What are the median and the quartiles of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

The interquartile range is the difference between the third quartile and the first quartile.

In this problem, we have that:

The minimum value is the smallest value, of 24.

The maximum value is the smallest value, of 56.

Since the data-set has odd cardinality, the median is the middle element, that is, the 7th element, as (13 + 1)/2 = 7, hence the median is of 43.

The first quartile is the median of the six elements of the first half, that is, the mean of the third and fourth elements, mean of 29 and 29, hence 29.

The third quartile is the median of the six elements of the second half, that is, the mean of the third and fourth elements of the second half, mean of 49 and 51, hence 50.

The interquartile range is of 50 - 29 = 21.

More can be learned about five number summaries at brainly.com/question/17110151

#SPJ1

3 0

2 years ago

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

fredd [130]

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

D(−2,4)→D'(4,2)
E(4,7)→E'(7,-4)
F(10,3)→F'(3,-10)
G(8,0)→G'(0,-8)

Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).

8 0

3 years ago

shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri

Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in $x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}$ .

⇒ $x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}$

⇒ $x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}$

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

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6 0

1 year ago

HELP ASAP!!!

IrinaVladis [17]

Answer:

0.4, 0.8, 1.2 ,1.6 ,2.0

Step-by-step explanation:

First we have to find what the question is really asking and get rid of unwanted or not needed information. It is asking to write a numeric sequence for the first 5 minutes of the 30 minutes.

Second we need to find the pattern. So lets divide $12 by 30. That will equal 0.4 a minute.

Last we add 0.4 for each minute. 0.4 is the first, then 0.8 is 2 minutes, then 1.2 and etc.

7 0

2 years ago

Find the value of M in the following figure.

Ivahew [28]

180 - (30+35)
= 180 - 65
= 115

M = 115 (vertical angles)

4 0

3 years ago

Read 2 more answers