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lesya692 [45]
3 years ago
14

-1.8 - 6x = 6(0.1 + 3x)

Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

x = -1/10 or -0.1

Step-by-step explanation:

-1.8 - 6x = 6(0.1 + 3x)

-1.8 - 6x = 0.6 + 18x

-6x - 18x = 0.6 + 1.8

-24x = 2.4

-x = 2.4/24

-x = 24/10 / 24

-x = 24/10 * 1/24

-x = 24/240

-x = 1/10

x = -0.1

Law Incorporation [45]3 years ago
7 0

Answer:

-0.13

Step-by-step explanation:

-1.8 - 6x = 6(0.1 + 3x)

Expand the bracket

-1.8 - 6x = 6x0.1 + 6 x 2x

-1.8 -6x = 0.6 + 12x

Collect like terms

-1.8 -0.6 = 6x + 12x

-2.4 = 18x

Divide both sides by 18

-2.4/18 = 18x/18

x = -0.13

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1 is the only number that's neither prime nor composite-right?
irina [24]

Answer:

No

Step-by-step explanation:

1 is a prime number

0 is the only number that is neither prime or composite

4 0
3 years ago
Which of the follow triangles is similar to APOR?
Paul [167]

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A:  12/15 simplifies to 4/5, wrong answer

Answer B:  9/12 simplifies to 3/4, wrong answer

Answer C:  6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

7 0
2 years ago
Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, th
Dafna11 [192]

Answer:

<em>There is no significant difference in the amount of rain produced when seeding the clouds.</em>

Step-by-step explanation:

Assuming that the amount of rain delivered by thunderheads follows a distribution close to a normal one, we can formulate a hypothesis z-test:

<u>Null Hypothesis </u>

\bf H_0: Average of the amount of rain delivered by thunderheads without seeding the clouds = 300 acrefeet.

<u>Alternative Hypothesis </u>

\bf H_a: Average of the amount of rain delivered by thunderheads by seeding the clouds > 300 acrefeet.

This is a right-tailed test.

Our z-statistic is  

\bf z=\frac{370.4-300}{300.1/\sqrt{30}}=1.2845

We now compare this value with the z-critical for a 0.05 significance level. This is a value \bf z^* such that the area under the Normal curve to the left of \bf z^* is less than or equal to 0.05

We can find this value with tables, calculators or spreadsheets.

<em>In Excel or OpenOffice Calc use the function </em>

<em>NORMSINV(0.95) </em>

an we obtain a value of  

\bf z^* = 1.645

Since 1.2845 is not greater than 1.645 we cannot reject the null, so the conclusion that can be drawn when the significance level is 0.05 is that there is no significant difference in the amount of rain produced when seeding the clouds.

8 0
3 years ago
The points shown on the graph represent the numbers in
dedylja [7]

Answer: 3

Step-by-step explanation:

cause I said so :) mark brainliest pls

6 0
3 years ago
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x). Tiles f(x) = x2 − 9, and
vitfil [10]
For this case we must solve each of the functions.
 We have then:

 f (x) = x2 - 9, and g (x) = x - 3
 h (x) = (x2 - 9) / (x - 3)
 h (x) = ((x-3) (x + 3)) / (x - 3)
 h (x) = x + 3

 
f (x) = x2 - 4x + 3, and g (x) = x - 3
 
h (x) = (x2 - 4x + 3) / (x - 3)
 h (x) = ((x-3) (x-1)) / (x - 3)
 h (x) = x-1

 f (x) = x2 + 4x - 5, and g (x) = x - 1
 h (x) = (x2 + 4x - 5) / (x - 1)
 h (x) = ((x + 5) (x-1)) / (x - 1)
 h (x) = x + 5

 f (x) = x2 - 16, and g (x) = x - 4
 h (x) = (x2 - 16) / (x - 4)
 h (x) = ((x-4) (x + 4)) / (x - 4)
 h (x) = x + 4
4 0
3 years ago
Read 2 more answers
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