An artist is carving chess pieces from a large piece of marble. After carving ppp chess pieces, there are SSS pounds of uncarved marble remaining. As the number of chess pieces carved increases, what happens to the weight of the remaining, uncarved marble?

Answers

Answer 1

Answer:

Answer:

The amount of marble will decrease as we make more chess pieces.

Step-by-step explanation:

An artist is carving chess pieces from marble. He has already carved p chess pieces and has s pounds of marble remaining.

We have to find out what happens to the remaining marble as chess pieces are being carved.

We are making chess pieces from the marble that is remaining , hence the amount of marble will definitely decrease.

As we go on making chess pieces, the marble will finish at a point of time.

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A vendor sells hot dogs and bags of potato chips. A customer buys 5 hotdogs and 2 bags of potato chips for $11.50. Another customer buys 3 hotdogs and 5 bags of potato chips for $9.75. Find the cost of each items.

Answers

Answer:

Hotdogs cost $2 and potato crisps $0.75.

Step-by-step explanation:

Let the hotdogs cost $h and the crisps $p

5h + 2p = 11.5

3h + 5p = 9.75

Multiply the first equation by -5 and the second by 2:

-25h - 10p = -57.5

6h + 10p = 19.5 Adding these 2 equations:

-19h = -38

h = $2.

Substitute h = 2 into the first equation:

5h + 2p = 11.5

10 + 2p = 11.5

2p = 1.5

p = $0.75.

The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there all together?

Answers

$girls : x\nboys : y \n \n x= y+60 \nx+y=1250 \n\nsubstitution : \n \n y+60+y=1250 \n 2y=1250-60\n2y=1190 \ \ / :2 \n y= 595 \n \n x=595 +60=655 \n \nAnswer : \ there \ is \ 655 \ \ girls \ and \ 595 \ boys$

595 in boys and i think 655 in girls

ark found a shirt on sale for 25% off. When he brought it to the register, he discovered that all items in the store were on sale for an additional 20% off. He wrote this expression to represent the final cost of the shirt based on the original price, p. (1−0.2)(1−0.25)p When Mark simplifies this expression, what can he conclude about the sale price of the shirt?

Answers

Answer:

The sale price of the shirt is 45% of the original price.

Step-by-step explanation:

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?0 = –3x – 5 + x2
0 = x – 3 – 5x2
0 = 3x – 5 – x2
0 = –3x + 5 – x2

Answers

Answer:

Option (a) is correct.

For given values a = 1 , b = -3 , c = -5 the quadratic equation is $0=-3x-5 + x^2$

Step-by-step explanation:

Given : a = 1 , b = -3 , c = -5

We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.

The standard form of quadratic equation is $ax^2+bx+c=0$ , where a, b, c are constant integers.

Given : a = 1 , b = -3 , c = -5

Then Substitute, we get,

$x^2-3x-5=0$

Thus, the obtained quadratic equation is same as option (a) $0=-3x-5 + x^2$

Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is $0=-3x-5 + x^2$

Answer:

Step-by-step explanation:

2x²+10x=0 by using any method

Answers

2x²+10x=0

2x(x+5)=0

2x=0 or x+5=0

x=0 or x= -5

An observation deck extends 314 feet out above a valley. The deck sits 264 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h equals negative 16 t squared plus 264. How long will it take for the object to be 8 feet above the valley floor?

Answers

Final answer:

Using the quadratic equation h = -16t² + 264 which represents the object's height after time, we find that it will take 4 seconds for the object to reach 8 feet above the valley floor.

Explanation:

In this case, you're asked to find out how much time it takes for an object dropped from an observation deck to drop to a point 8 feet above the valley floor. The height h, in feet, after time t, in seconds, is represented by the quadratic equation h = -16t² + 264. Set the equation equal to desired height, which is 8 feet in this case. So, you have -16t² + 264 = 8. Rearranging, you get -16t² = 8 - 264, or -16t² = -256. Divide by -16 yields, t² = 16. The principal square root of 16 is t = 4.

Therefore, it will take 4 seconds for the object to be 8 feet above the valley floor.

Learn more about Quadratic Equations here:

brainly.com/question/30098550

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