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tatuchka [14]
3 years ago
13

Sum of 2 numbers is 36. The larger is 3 more than twice the

Mathematics
1 answer:
maw [93]3 years ago
6 0

Answer:

11

Step-by-step explanation:

so we just make a system of equations:

x+y=36

say that x is the larger and y is the smaller

x-3=2y

so we can combine the equations and solve for x and y

re-arrange x-3=2y to be x=2y+3

x+y=36

x=2y+3

insert the value for x into x into x+y=36

2y+3+y=36

3y+3=36

y=11

now insert that back into x+y=36

11+x=36

x=25

Out of the two numbers x and y, 11 is the smaller number

Hope that helps :)

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MaRussiya [10]

Answer:

1. 9 cm

2. 50%

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.

2. 2 is 50% of 4 and 3 is 50% of 6.

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Step-by-step explanation:

8 0
3 years ago
Which of the following represents a direct variation?
andrey2020 [161]
Direct variation should be called linear variation.

In this case, the answer is B.

A has the quadratic variation, C has the inverse variation, D has the cubic variation
6 0
3 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Which if the following is the equation of a line that passes through the points (2,5) and (4,3)
Taya2010 [7]
Hi there!

First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).

S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1

Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.

(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7

(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7

The two equations came out the same! Which is completely okay, and happens sometimes. 

Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!


3 0
3 years ago
The daughter is 36 years younger than her mother. How many years ago was the mother 5 times he daughters age, if she is 50 now?
Anni [7]

Answer:

5 years ago

Step-by-step explanation:

8 0
3 years ago
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