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Dima020 [189]
3 years ago
5

a farmer saw some chickens and pigs in a field. he counted 60 heads and 176 legs. determine exactly how many chickens and pigs h

e saw.

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

32 chickens and 28 pigs

Step-by-step explanation:

This is a solve the system question. Call C the number of chickens and P the number of pigs. Each chicken and each pig has one head so the first equation is:

C+P=60

Each chicken has 2 legs and each pig has 4 legs so the second equation is:

2C+4P=176

To solve by substitution, first rearrange the first equation to isolate C:

C=60-P

Now substitute that into the second equation and solve for P:

2(60-P)+4P=176\\120-2P+4P=176\\2P=56\\P=28

So there are 28 pigs. Now sub that into either of the original equations. I'll use the first:

C+28=60\\C=32

There are 32 chickens.

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The White Russian cocktail contains vodka, Tia Maria and milk in the ratio of 5:2:3. To make the cocktail for a party the barman
stellarik [79]

Answer:

1) 600cm^3            2) 10 glasses

Step-by-step explanation:

x = total amount in ml

(3/10)x = 180ml (MILK)

x = 600ml

(2/10)600 = 120ml (TIA MARIA)

(1/2)600 = 300ml (VODKA)

<em>1) 600cm^3</em>

<em>2) 600ml : 60ml = 10 (GLASSES)</em>

6 0
2 years ago
A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.
Ede4ka [16]

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

3 0
3 years ago
Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.
lesya692 [45]

Answer:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 100.4

And we can calculate the deviations from each value like this:

|101.5-100.4 |=1.1

|98.7-100.4 |=1.7

|95.4-100.4 |=5.0

|92.3-100.4 |=8.1

|109.8-100.4 |=9.4

|104.7-100.4|=4.3

And the mean absolute deviation would be:

MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93

8 0
3 years ago
Find the number of real number solutions for the equation. x2 – 18 = 0
madam [21]
x ^ 2 - 18 = 0
 For this case, the first thing you should do is rewrite the expression:
 x ^ 2 - 18 = 0
 x ^ 2 = 18
 The solutions for this case are:
 x1 = root (18)
 x2 = -raiz (18)
 Therefore the answer is:
 2 solutions of real numbers.
 Answer:
 2
6 0
3 years ago
Read 2 more answers
What is the y interceot for f(x)=x^2-3
andre [41]

Answer: 0,-3

Step-by-step explanation: hope this helps!!

4 0
2 years ago
Read 2 more answers
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