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irga5000 [103]
3 years ago
14

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

ea of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y?
A) 5xy − 15x = 125
B) 5xy + 15x = 125
C) 15x2 − 5xy = 125
D) 15x2 + 5xy = 125
Mathematics
2 answers:
pashok25 [27]3 years ago
7 0
Area=length x width
A=10x(3/2 x + 1/2 y).
Now Distribute...
A=30x^2/2 + 10xy/2)
Now simplify fractions...
A=15x^2 + 5xy= 125

So I believe your answer is D)
kupik [55]3 years ago
6 0
I think it’s D as well!
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Find the decimal equivalent of ¾ ounce to the thousandths place
GalinKa [24]

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

7 0
2 years ago
A demographer wants to measure life expectancy in countries 1 and 2. Let μ1 and μ2 denote the mean life expectancy in countries
Art [367]

Answer:

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:

Null hypothesis: \mu_1 \leq \mu_2 -10

Alternative hypothesis:\mu_1 > \mu_2 -10

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 10

Alternative hypothesis:\mu_1 - \mu_2 >10

7 0
3 years ago
I need help to solve please
antiseptic1488 [7]

Answer:

<h2><em><u>x = 52</u></em></h2>

Step-by-step explanation:

<em><u>Known:</u></em>

What to find = x

Exterior angle = 142

Right angle = 90

<em><u>Unknown:</u></em>

what unknown value is = ?

Interior angle = ?

<em><u>1. Find the angle of the interior angles.</u></em>

180 - 142 = 38

<em><u>2. Add the two known angles</u></em>

38 + 90 = 128

<em><u>3. Subtract from 180</u></em>

180 - 128 = 52

<h2><em><u>x = 52 is the answer.</u></em></h2>

Hope this helped,

Kavitha Banarjee

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3 years ago
What is the value of x? 6x - 2x = 16
agasfer [191]

6x - 2x = 16

4x = 16    |divide both sides by 4

<h3>x = 4</h3>
5 0
3 years ago
Read 2 more answers
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Sophie [7]
I don’t know anything bro i’m stupid
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3 years ago
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