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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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Sydney is playing a game on a map with a marked grid. To start, she places a game piece at (1, 4). She moves 3 units east and 2
Anastasy [175]

Answer:

(7, 8)

Step-by-step explanation:

If Sidney places each piece 3 units east and 2 units north of the last one, we can figure out which coordinate comes first by subtracting the position of the second piece (S) by the position of the first piece (F):

S - F = (4,6) - (1,4) = (3,2)

We can conclude that coordinates are in the (East, North) format.

Therefore, the location of the third piece (T) is:

T = S(E,N) +(3,2)= (4,6)+(3,2)\\T = (7,8)

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3 years ago
How do you do this? Thanks for your time and effort!
joja [24]
Since log(0) is undefined, we can assume that there is a vertical asymptote there. So, to make the function log(0), x needs to be -3. There is a vertical asymptote at x=-3. Since the function has not been shifted anywhere, or flipped vertically/horizontally, the answer would most likely be A.
3 0
4 years ago
Read 2 more answers
Simply a3 • a4 <br> And (2a) (5ab)
Tanya [424]

Answer:

a^3 (a^4) = a^7

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Step-by-step explanation:

7 0
3 years ago
Helllllppp please asap
BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = \frac{h}{c}

c = \frac{h}{\text{tan}47}

c = \frac{4.8}{\text{tan}47}

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = \frac{h}{b}

b = \frac{h}{\text{tan}37}

b = \frac{4.8}{1.0724}

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = \frac{h}{a}

a = \frac{h}{\text{tan}27}

a = \frac{4.8}{0.5095}

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5 0
3 years ago
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
valina [46]

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

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Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

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Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

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2 years ago
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