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zhuklara [117]
3 years ago
12

Old McDonald has some chickens and some cows. He counted 56 heads and 116 legs. How many chickens and how many cows does old McD

onald have? (The animals are not missing any legs or head's)
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer: old McDonald has 54 chickens and 2 cows.

Step-by-step explanation:

Let x represent the number of chickens that old McDonald have.

Let y represent the number of cows that old McDonald have.

He counted 56 heads. A chicken and a cow has one head each. It means that

x + y = 56

He counted 116 legs. A chicken has 2 legs and a cow has 4 legs. It means that

2x + 4y = 116 - - - - - - - - -1

Substituting x = 56 - y into equation 1, it becomes

2(56 - y) + 4y = 116

112 - 2y + 4y = 116

- 2y + 4y = 116 - 112

2y = 4

y = 4/2 = 2

x = 56 - y = 56 - 2

x = 54

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vazorg [7]

Answer:

Step 1: Distribute -2 to 5x and 8

Step 2: Subtract from both sides of the equation 6x

Step 3: Add to both sides of the equation  16

Step 4: Divide both sides of the equation by -16

Step-by-step explanation:

Step 1: Apply the Distributive Property. Then you must  distribute -2 to 5x and 8

Then:

-2(5x+8)=14+6x\\\\-10x-16=14+6x

Step 2: You must apply the Subtraction property of Equality and subtract 6x from both sides of the equation. Then:

-10x-16-6x=14+6x-6x\\\\-16x-16=14

 Step 3: You must apply the Addition property of Equality and add 16 to both sides of the equation. Then:

-16x-16+16=14+16\\\\-16x=30

Step 4: You must apply the Division property of Equality and divide both sides by -16. Then:

\frac{-16x}{-16}=\frac{30}{-16}\\\\x=\frac{30}{-16}\\\\x=-\frac{15}{8}

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3 years ago
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dmitriy555 [2]
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7 0
3 years ago
What number sentence is true?
meriva
D would be true because if you think about it in percentage wise
2/8= 25%
2/3=66.66%
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5 0
3 years ago
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Marizza181 [45]
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5 0
2 years ago
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of ea
DIA [1.3K]

Answer: the third angle is 106 degrees.

The base angles are 37 degrees each.

Step-by-step explanation:

In an isosceles triangle, the base angles are equal.

Let x represent the measure of each of the base angles.

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be

(2x + 32) degrees

The sum of the angles inna triangle is 180 degrees. It means that

x + x + 2x + 32 = 180

4x = 180 - 32

4x = 148

x = 37

The third angle is

2x = 32 = (2 × 37) + 32

= 74 + 32 = 106

5 0
3 years ago
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