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ioda
3 years ago
11

Please help! Thanks

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

x = +-sqrt(3) and they are the actual solutions

Step-by-step explanation:

x^2/ (2x-6) = 9/(6x-18)

get a common denominator of 6x-18

x^2/ (2x-6) * 3/3 = 9/(6x-18)

3x^2/ (6x-18) = 9/(6x-18)

since the denominators are the same, the numerators must be the same

3x^2 = 9

divide by 3 on each side

x^2 = 3

take the square root of each side

sqrt(x^2) = +-sqrt(3)

x = +-sqrt(3)



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A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
USPshnik [31]

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

3 0
2 years ago
Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much d
svetlana [45]

Answer:

2\frac{3}{4} pounds

Step-by-step explanation:

Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.

To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.

She buys 8 ounces of pecans.

1 ounce = 0.0625 pounds

8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds

Therefore, the total weight of nuts that she buys is:

1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}

The nuts weight 2\frac{3}{4} pounds in all.

4 0
4 years ago
Find the ÷98 and place a point on the # line​
kifflom [539]

Answer:

Draw a number line starting with -100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, all the way to 0. Then put a point mark at where the -98 would be.

8 0
3 years ago
I need explanations for Mathematical Proofs.
erma4kov [3.2K]

Answer:

Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic.

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

There are many different ways to go about proving something, we'll discuss 3 methods: direct proof, proof by contradiction, proof by induction. We'll talk about what each of these proofs are, when and how they're used. Before diving in, we'll need to explain some terminology.

Although I will focus on proofs in mathematical education per the topic of the question, first and foremost proofs are so hard because they involve taking a hypothesis and attempting to prove or disprove it by finding a counterexample. There are many such hypotheses that have (had) serious monetary rewards available.

In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.

All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.

More information for you..

https://youtu.be/V5tUc-J124s

https://youtu.be/dMn5w4_ztSw

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3 0
3 years ago
There are 25 coins inside a container. Some of the coins are nickels, and the rest are quarters. The value of the coins is $4.05
dem82 [27]

Answer:

  • n + q = 25
  • 0.05n + 0.25q = 4.05

Step-by-step explanation:

<em>Two equations</em> are required to represent this problem as posed.

1. An equation for the number of coins:

  n + q = 25

2. An equation for the value of the coins:

  0.05n + 0.25q = 4.05

4 0
3 years ago
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