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2 years ago

15

Convert the decimal expansion 0.1777 into a rational number.

2 answers:

Alex17521 [72]2 years ago

8 0

1777/10000. might simplify

Maslowich2 years ago

7 0

Answer:

IT'S C

Step-by-step explanation:

8

45

Since the repeating segment length is 1, multiply by 101 .

10x = 1.7777...

- x = 0.1777...

9x = 1.6

then,

9x = 1.6

x =

1.6

9

x =

16

90

x =

8

45

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In a given course a student receives preliminary examination grades of 81, 85, and 95. The final examination is weighed for one-

Vsevolod [243]

Answer:

B. 96

Step-by-step explanation:

Let x represent score of final third exam.

We have been given that in a given course a student receives preliminary examination grades of 81, 85, and 95.

Let us find average of preliminary scores.

$\frac{81+85+95}{3}=\frac{261}{3}=87$

We have been given that the final examination is weighed for one-third and the average of the preliminary grades is weighed as 2/3 of the final grade. This means that final grade is equally weighed into 3 parts. The two parts are 87 each and third part is x.

Using our given information, we can set an equation as:

$\frac{87+87+x}{3}=90$

$\frac{174+x}{3}=90$

$\frac{174+x}{3}*3=90*3$

$174+x=270$

$174-174+x=270-174$

$x=96$

Therefore, the final examination grade should be 96 for a semester average of 90.

4 0

1 year ago

A hospital cafeteria has 20 tables. 65% of the tables have 6 chairs at each table. The remaining 35% of the tables have 4 chairs

rosijanka [135]

Total number of tables in the cafeteria = 20

65% of the tables = $\frac{65}{100} (20)$

$=\frac{13}{20}(20)$

= 13

Each table has 6 chairs.

So, total number of chairs that 65% of the tables have = 13 × 6 = 78.

35% of the tables = $\frac{35}{100} (20)$

$=\frac{7}{20} (20)$

= 7

Each table has 4 chairs.

So, total number of chairs that the remaining 35% of the tables have = 7 × 4 = 28.

Hence, total number of chairs in the hospital cafeteria = 78 + 28 = 106.

6 0

1 year ago

Choose the three shapes that have an area of 36 square centimeters.

Kay [80]

Answer:

6cm

Step-by-step explanation:

Area of a square =

$s^2$

Where s = one side

s = ?

$A = s^2\\\\36 =s^2$

Square root both sides

$\sqrt{36} = \sqrt{s^2} \\\\6 =s$

5 0

1 year ago

Katie invested $33,750 at 11.17% compounded continuously.

ser-zykov [4K]

Answer:

Katie's account balance in 10 years will be $3,769,875

Step-by-step explanation:

you multiply the amount of money you invest by the percentage, and the amount of years.

EX: $33,750 × 11.17% × 10= $3,769,875

5 0

1 year ago

Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130

Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T = 20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0

1 year ago