A math teacher drove by a playground that was full of boys and dogs. The teacher happened to notice that there was a total of 40 heads and 100 feet. How many boys and how many dogs were there?

Answers

Answer 1
Answer: There were 30 boys and 10 dogs. 40 heads all together . Then each boy has 2 feet so thats 30*2 = 60 and each dog has 4 feet thats 10*4 = 40  60+40=100 feet

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What is the answer to 7-4+3x0+1=?

Answers

1 because once you multiply by 0 the whole equation equals 0 tjerefore you just have to add the 1. The answer is 1

Is a voluntary response sample (sometimes, always, or never) valid?

Answers

A voluntary response sample is always valid.

Amelia bought roast beef for $6.85 per pound. Find the total cost if amelia bought 4 pounds of roast beef. Justify your answer by using the distribute property.

Answers

her total cost is $27.40.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Amelia bought roast beef for $6.85 per pound.

Amelia bought 4 pounds of roast beef.

total cost = $6.85 * 4

               =$27.40

hence, her total cost is $27.40.

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4(6.85) is how you would set it up because 4 is the pound and the cost is 6.85 per pound so 4(6.85) is $27.40 therefore $27.40 is the answer

Lara has three cats: Socks, Princess, and Luna. The ratio of Sock's weight to Princess's weight is 4:5. The ratio of Princess's weight to Luna's weight is 6:7. What is the ratio of Sock's weight to Luna's weight?

Answers

a = Sock's weight
b = Princess' weight
c = Luna's weight

a : b = 4 : 5
b : c = 6 : 7

at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same

a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35

Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
4:7 because 4 is sock's waeight and it says that in the first ratio and 7 is luna's weight because it says that in the last ratio

Evaluate (8/9) to the zero power. I need to show all work involved at arriving at the answer.

Answers

anything to the zero power=1 work is

example
x^2=1*x*x
so x^0=1


so ((8)/(9))^(0)= 1
Anything to the power 0 is equal to 1

Round the number to the nearest thousandth 5.7935

Answers

Number round to the nearest thousandth is 6.458.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Number = 5.7935

Now,

To round 6.4578 to the nearest thousandth, you look at the digit 7 in the ten-thousandth place. Since 7 is more than 5, you round up by adding 1 to the digit 8 in the thousandth place and dropping the digit 7.

Therefore, by algebra the answer will be 6.458.

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The answer would be 5.794.
The thousandths place is where the 3 is. If the number to the right of it is 5 or bigger, than you can round up. If not, then you round down.