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Reika [66]
3 years ago
6

The sum of two numbers is 90. the larger number is 6 less than twice the smaller. find the numbers.

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

32 and 58

Step-by-step explanation:

Let's set up equations.

The sum of two numbers (x and y) is 90: x + y = 90

The larger number (y) is 6 less than twice the smaller number (x): y = 2x - 6

We have our system of equations:

x + y = 90

y = 2x - 6

Let's use substitution.

Substitute y = 2x - 6 into the first equation.

x + y = 90

x + (2x - 6) = 90

Combine like terms.

x + 2x - 6 = 90

3x - 6 = 90

Add 6 to both sides to isolate x.

3x = 96

Divide both sides by 3 to further isolate x.

x = 32

Now that we know x, let's find y.

Plug in x = 32 into one of our original equations.

y = 2x - 6

y = 2(32) - 6

Multiply.

y = 64 - 6

y = 58

Now we have x = 32, y = 58.

Check your answer by plugging these values into one of our original equations.

x + y = 90

32 + 58 = 90

Add.

90 = 90

Your solution is correct.

Hope this helps!

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Murrr4er [49]
Here, trapezoid is composed of two triangles, and one rectangle.
So, Area of rectangle = 4 * 7 = 28 cm²
Area of a triangle = 1/2 * 3 * 7 = 21/2 = 10.5 cm²

Area of Trapezoid = area of rectangle + 2(area of triangle)
 = 28 + 2(10.5)
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In short, Your Answer would be 49 cm²

Hope this helps!
5 0
3 years ago
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Answer:

It is stated in the query that the more attractive the individual, the higher their rank of desirability.

Step-by-step explanation:

This means that we should conclude that the alternative explanation of "higher degree of desire contributes to higher levels of social attractiveness"

In the event of a null hypothesis, we will believe that the degree of attractiveness has no impact on the score of cultural desirability.

(1) Null hypothesis:- The level of attraction does not have an impact on the rating of social desirability.

(2) Alternate hypothesis:- The level of attraction has a positive effect on the ranking of social desirability.

(3) The error of Type I is characterized as the rejection of the true null hypothesis. Therefore, in this case, the type I mistake would be that "the level of attraction has a positive effect on the rating of social desirability while the level of attraction does not have an impact on the rating of social desirability."

(4) The error of type II is characterized as the failure to reject the false null hypothesis. Thus, in this situation, the Type II error would be that "the level of attraction has no impact on the rating of social desirability while the real level of attraction has a positive effect on the rating of social desirability."

(5) We know that the likelihood of having a Form I error is equal to the degree of significance (in percent terms). The significance level, in this case, is 0.05, so the likelihood of making a form I error is 0.05 * 100=5 percent.

Therefore, there is a 5 percent risk of making a Type I mistake.

3 0
3 years ago
It took 20,000 workers to build the Taj Mahal in 20 years. How many workers would be required to build it in 10 years?
omeli [17]

Answer:

40,000 workers

Step-by-step explanation:

This question deals with simple rates proportion.

If it takes 20 years for X workers to complete a job,

if we double the amount of workers, we will take half the time.

hence to halve the time from 20 years to 10 years, we will need to double the amount of workers.

In this case we will need 20,000 workers x 2 = 40,000 workers

4 0
3 years ago
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In-s [12.5K]

Answer:

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7 0
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aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

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Equation of line is y=(12/5)x+2

7 0
3 years ago
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