4:3 and 25:45 are equal ratios true or false

Answers

Answer 1

Answer: False.

The scale factor for 3 and 45 is 15.

45 / 3 = 15.

We know that 25 isn't even a whole number for the scale factor, because no number x 4 can equal 25 (whole numbers only).

25 / 3 = 6.33333

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5/6+3/7 in simplest fom

Answers

Get a common denominator:

5/6*7/7=35/42

3/7*6/6=18/42

Add the numbers:

35/42+18/42=53/42

This fraction does not simplify, so 53/42 is our final answer.

5/6 + 3/7

Common denominator is needed.

5/6 = 35/42
3/7 = 18/42

Now add

35 + 18 = 53

53/42
53 - 42 = 11

1 and 11/42

The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95
B - y = (0.95 + 1.15)x
C - y = 0.95x + 1.15
D - y = 0.95(x - 1) + 1.15

Answers

option A. y = 1.15 + 0.95x

1.15 is a fixed cost and 0.95 is a variable cost that has to be multiplied by the number of ounces of shrimp, x.

1. Which describes the work of Nicolaus Copernicus?a. experimenting on human bodies

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

1. Which describes the work of Nicolaus Copernicus?
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:

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If 2 dice are rolled at the same time, what is the probability of the 2 dice having the same faceValue?

Answers

Total number of possible results of rolling 2 dice = 6 x 6 = 36

Total number of ways they can both show the same face = 6

Probability of showing the same face = 6/36 = 1/6 = 16 and 2/3 percent.

Sidney bought two magazines that were each $5. If Sidney paid a total of $10.70 for the two magazines with tax,what percent tax did she pay for her purchase?