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Mashcka [7]
2 years ago
7

The pair (-1, 1) is a solution to the equation 2y - 3x = 5. Find another (x, y) pair that is a

Mathematics
1 answer:
morpeh [17]2 years ago
6 0

Answer: (1,4)

Step-by-step explanation:

Given

Equation of line is 2y-3x=5

(-1,1) is the solution of the equation

Take x=1 and substitute it in the above equation

\Rightarrow 2y-3(1)=5\\\Rightarrow 2y=5+3\\\Rightarrow y=4

So, another pair of the solution is (1,4)

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The Humane Society reports that approximately 40% of all US households own at least one dog. In a random sample of340 households
fgiga [73]

Answer:

Step-by-step explanation:

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4 0
3 years ago
In a certain room, there are 28 women and 21 men. What is the ratio of
marishachu [46]

Answer:

  • The men to women ratio is 3 : 4
  • The ratio between women to total number of people is 4 : 7

Step-by-step explanation:

Men to women ratio = 21 : 28 or 3 : 4

The men to women ratio is 3 : 4

Total people = 21 + 28 = 49 people

The ratio of women to total number of people is

28 : 49 or 4 : 7

The ratio between women to total number of people is 4 : 7

4 0
3 years ago
What is 32.330 + 23.559
Molodets [167]
I hope this helps you

5 0
3 years ago
Systems of linear equations ; elimination method<br><br><br> pls help&lt;3
Basile [38]
<h3>Answer:</h3>

System

  • 10s +25t = 11700
  • s -2t = 0

Solution

  • s = 520
  • t = 260
<h3>Explanation:</h3>

Let s and t represent single-entry and three-day tickets, respectively. These variables represent the numbers we're asked to find: "how many of each [ticket type] he sold."

We are given the revenue from each ticket type, and the total revenue, so we can write an equation based on the relation between prices, numbers sold, and revenue:

... 10s +25t = 11700 . . . . . equation for total revenue

We are also given a relation between the two number of tickets sold:

... s = 2t . . . . . . . . . . . . . . . twice as many single tickets were sold as 3-day

We can rearrange this second equation to put it into standard form. That makes it easier to see what to do to eliminate a variable.

... s -2t = 0 . . . . . . . . . . . . subtract 2t to put into standard form

So, our system of equations is ...

  • 10s +25t = 11700
  • s -2t = 0

<em>What </em>elimination<em> is all about</em>

The idea with "elimination" is to find a multiple of one (or both) equations such that the coefficients of one of the variables are opposite. Then, the result of adding those multiples will be to eliminate that variable.

Here, we can multiply the second equation by -10 to make the coefficient of s be -10, the opposite of its value in the first equation. (We could also multiply the first equation by -0.1 to achieve the same result. This would result in a non-integer value for the coefficient of t, but the solution process would still work.)

Alternatively, we can multiply the first equation by 2 and the second equation by 25 to give two equations with 50t and -50t as the t-variable terms. These would cancel when added, so would eliminate the t variable. (It seems like more work to do that, so we'll choose the first option.)

<em>Solution by elimination</em>

... 10s +25t = 11700 . . . . our first equation

... -10s +20t = 0 . . . . . . . second equation of our system, multiplied by -10

... 45t = 11700 . . . . . . . . .the sum of these two equations (s-term eliminated)

... t = 11700/45 = 260 . . . . . divide by the coefficient of t

... s = 2t = 520 . . . . . . . . . . use the relationship with s to find s

_____

<em>Solution using your number sense</em>

As soon as you see there is a relation between single-day tickets and 3-day tickets, you can realize that all you need to do is bundle the tickets according to that relation, then find the number of bundles. Here, 2 single-day tickets and 1 three-day ticket will bundle to give a package worth 2×$10 + $25 = $45. Then the revenue of $11700 will be $11700/$45 = 260 packages of tickets. That amounts to 260 three-day tickets and 520 single-day tickets.

(You may notice that our elimination solution effectively computes this same result, where "t" and the number of "packages" is the same value (since there is 1 "t" in the package).)

6 0
3 years ago
-1. What are some instruments that you know of that we
morpeh [17]

Answer:

The gram and kilogram are two units used to measure mass in the metric system . From the gram, we get the rest of the metric units using the standard metric prefixes. A paper clip has a mass of about 1 gram. A 1 liter bottle of water has a mass of 1 kilogram (plus a little bit extra for the plastic).

6 0
2 years ago
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