The answer is A. Each half a pound is the same as 8 ounces. Or you can say each pound is 16 ounces. 9 * 16 = 144.
5a + 4.75b = 72.50 is the equation in standard form to represent the situation
<h3><u>Solution:</u></h3>
Let the number of bucket sold be ‘a’ at $5 each and the number of hotdogs sold be ‘b’ at $4.75 each. Then after 1 hour she makes $72.50
So, on the basis of the above problem we can make an equation as follows:-
<em><u>The equation for number of popcorn and hotdogs sold after 1 hour:
</u></em>
$72.50 = number of bucket sold x price of popcorn per bucket + number of hotdogs sold x price of hotdog
72.50 = 5a + (4.75)b
5a + 4.75b = 72.50
The above Equation is equivalent to the standard form of linear equation which is Ax + By = C
where A, B, and C are real numbers, and A and B are both not zero
Hence, the best choice is standard form as it has two variables in it we can solve the equation to get the value of variables in it
Answer:
15 inches
Step-by-step explanation:
We can solve this problem using the Pythagorean theorem. The formula is:
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
where 'c' is the <u>hypotenuse</u> (the longest side) and 'a' and 'b' are the <u>legs</u> (the other sides).
First, <u>draw a diagram</u> for the problem. (See the photo attached below)
We know the other leg is 8 and the hypotenuse is 17. 'a' is the missing side.
a = ?
b = 8
c = 17
<u>Substitute the values into the equation</u>.
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
![a^{2} + 8^{2} = 17^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%208%5E%7B2%7D%20%3D%2017%5E%7B2%7D)
<u>Rearrange to isolate 'a'</u>
Square root both sides
Square each number
Subtract under the root
Find the square root
Final answer
Therefore, the TV is 15 inches tall.
The answer is 3275/12=272.916666667/7.5=<span>36.3888888889</span>
Answer:
I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
Step-by-step explanation:
Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:
35 - 14 = 21
21/6 = 3.5
35 / 3.5 = 10
14 / 3.5 = 4
So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.