Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
Answers
Answer:
The x-intercept indicates that he has 29 ten dollar bills
and no five dollar bills. The y-intercept indicates that he has 58 five
dollar bills and no ten dollar bills.
Step-by-step explanation:
Related Questions
Which of the following equations shows "twice a number is eighteen?"
The table shows the height of a plant as it grows. What equation in point-slope form gives the plant s height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months. Time (months) Plant Height (cm) 3 15 5 25 7 35 9 45
make a sequence of integers that starts with 43. each new term is the sum of the squares of the digits of the previous term. the sequence would be a₁= 43, a₂= 4²+3² =25, and so on. keep going until you find the first integer that appears twice in the sequence
An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?
Answers
a.)102.02
a.)242.47
The volume of the cone can be expressed as:
where:
V - the volume of the cone,
r - the radius of the cone,
h - the height of the cone.
It is given:
h = 12 in
R = 2r = 5.7 in ⇒ r = 5.7 in ÷ 2 = 2.85 in
π = 3.14
Therefore, the volume of the original conical chamber (V₁)
Further, the new chamber is scaled by a factor of 1.5. That means that radius and height of the original chamber are increased 1.5 times:
r₁ = r · 1.5 = 2.85 in · 1.5 = 4.275 in
h₁ = h · 1.5 = 12 in · 1.5 = 18 in
The volume of the new chamber is:
The difference between two chambers is:
V₁ - V = 344.49 - 102.02 = 242.47
Answer:
a and a
Step-by-step explanation:
b. inventing analytic geometry
c. developing a heliocentric theory
Question 2.2. Which was not an accomplishment of Galileo Galilei?
a. creating a powerful telescope
b. writing the Principia Mathematica
c. confirming that the earth revolves around the sun
Question 3.3. Which best describes the influence of Isaac Newton's theory of universal gravitation?
a. It led to new insights into the nature of light.
Answers
c. developing a heliocentric theory
2. Which was not an accomplishment of Galileo Galilei?
c. confirming that the earth revolves around the sun
3. Which best describes the influence of Isaac Newton's theory of universal gravity?
It showed that the universe follows a set of predictable rules
Final answer:
Nicolaus Copernicus developed the heliocentric theory. Galileo Galilei did not write the Principia Mathematica but he did confirm the earth revolves around the sun with his improved telescope. Isaac Newton's theory of universal gravitation significantly advanced our understanding of the physical universe.
Explanation:
Nicolaus Copernicus is renowned for developing the heliocentric theory, according to which the sun is the centre of the universe and the earth and other planets revolve around it. This answer corresponds to option C in your question. Galileo Galilei, on the other hand, did not write the Principia Mathematica. This work was written by Sir Isaac Newton, and thus corresponds to option B of your second question. Galileo is well-known for advancing the telescope technology, and his observations confirmed the heliocentric system.
As for your third question, Isaac Newton's theory of universal gravitation revolutionized our understanding of the physical universe. While it did lead to new insights into light, it's most significant contribution is perhaps its explanation of how objects in the universe are attracted to each other, demonstrating that the same forces are at work in the heavens and on earth.
Learn more about Historical Scientific Contributions here:
#SPJ6
Answers
put the decimal point in the quotient
4 can't go in 2 so 28
28 can by 7 and 7 in the ones digit
0.8 forget it's just 8 divided by 4 = 2
7.2 is the answer!
2(3x - 2)(x - 2) = 0
2(6x - 4)(x - 1) = 0
2(x - 1)(3x - 4) = 0
Answers
2(3x^2 - 7x + 4) = 0
2(3x^2 - 3x - 4x + 4) = 0
2(3x(x - 1) - 4(x - 1)) = 0
2(x - 1)(3x - 4) = 0
Answers
Answers
Answer: 8m+25 ≤ 65
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).
Mathematically speaking:
8m+25 ≤ 65
Feel free to ask for more if needed or if you did not understand something.