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HACTEHA [7]
3 years ago
13

Solve 2(x-1) =4 xxxxxx

Mathematics
1 answer:
sineoko [7]3 years ago
4 0
2(x-1)=4
2x-2=4
2x=6
x=3
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each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num
Gnoma [55]

The <em><u>correct answer</u></em> is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes.  This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

0.5 < 0.9^x

To solve this, we will use logarithms:

\log_{0.9}(0.5)

4 0
3 years ago
Howard chose a candy from a bowl with 5 chocolate candies, 4 gummy candies and 6 hard candies. What is Howard's dependent probab
Hatshy [7]

Answer:

8.9%

Step-by-step explanation:

Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.

The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy

Total number of candy = 5 + 4 + 6 = 15

Number of chocolate candy = 5

The probability of selecting a chocolate candy = 5/15 = 1/3

The probability of selecting a gummy candy = number of gummy candies/total number of candies

Number of gummy candy = 4

The probability of selecting a gummy candy = 4/15

The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889

Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent

7 0
3 years ago
Joshua Vernier received a raise after his first year on the job to $43,800 from his initial salary of $42,000 . What was his rai
Vika [28.1K]
The answer should be: 4.2857%
43,800-42000=1800.
1800 is 4.2857% of 42000
8 0
4 years ago
Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.
bija089 [108]

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

5 0
3 years ago
Read 2 more answers
The volume of a cylinder is 320 pi cm cubed. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder?
Dmitrij [34]

Answer:

h = 20 cm

Step-by-step explanation:

π4²h = 320π

h = 20 cm

6 0
3 years ago
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