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Snezhnost [94]
3 years ago
7

There are 23 animals in the barn. Some are geese and some are cows. There are 80 legs in all. How many of each animal are there?

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

17 cows and 6 geese

Step-by-step explanation:

1. set up two equations:

C + G = 23 (number of cows and geese = total number of animals)

4C + 2G = 80 (cows have 4 legs, geese have 2 legs and the total # of legs is 80)

2. 2(C+G)=2(23) ===> 2C + 2G = 46

3. subtract 4C + 2G = 80 and 2C + 2G = 46 to equal 2C=34, divide by 2 and C=17 (17 cows)

4. apply 17 back to the original (C + G = 23) equation to get: 17 + G = 23, subtract 17 from 23 and G=6 (6 geese)

i hope the way i explained it was clear! :)

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A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches

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3 years ago
The percent discout is 30% and the sale price is 42% what is the original price
statuscvo [17]

Answer: 54.6

Step-by-step explanation: 42 x 30% = 12.6 ( tax ) then 12.6 + 42 = 54.6

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3 years ago
Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?
Alenkasestr [34]

Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

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which which lead you to 3/4!

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2 years ago
What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.
nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

f(x) =  {x}^{2}

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

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+h moves the parent graph to the left by h units

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+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

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f(x) = 2( {x  + 2)}^{2}  + 1

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

3 0
3 years ago
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