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mezya [45]
3 years ago
15

Darla is playing a computer game to help her learn about science. her scores for the first six games were 9, 12, 10, 8, 14, and

15. how many points does she need to earn on the next game so that her average score for all games is 12 points?
Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0
<h2>Answer:</h2>

The number of points she earned in the next game is:

                           16

<h2>Step-by-step explanation:</h2>

The scores of the six games is given by:

            9, 12, 10, 8, 14, and 15.

Now, let the score in the next game be: x

We know that the average of the scores is the sum of all the score to the total number of scores.

Here the sum of all the scores is:

9+12+10+8+14+15+x=68+x

Also, number of scores= 7

Hence, we have:

\dfrac{68+x}{7}=12\\\\i.e.\\\\68+x=12\times 7\\\\68+x=84\\\\x=84-68\\\\x=16

Greeley [361]3 years ago
7 0
Darla would have to score 16 on the next game
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(84/7)+ 9/3=
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4 years ago
To the nearest​ millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the​ length?
iVinArrow [24]
<h2>The ratio of the width to the​ length of a cell phone is 18 : 41.</h2>

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm  and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the​ length of a cell phone = ?

∴ The ratio of the width to the​ length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= \dfrac{36}{2} : \dfrac{82}{2}

= 18 : 41

Thus, the ratio of the width to the​ length of a cell phone is 18 : 41.

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3 years ago
Square root of 90 to the nearest integer
sergiy2304 [10]

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9

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3 years ago
A supermarket increases the prices of some grocery items by 10%.
Juli2301 [7.4K]

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

6 0
2 years ago
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