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ipn [44]
3 years ago
15

emma,clare ,and mark sent a total of 63 text messages during the weekend. clare sent 5 fewer messages than emma. mark sent 2 tim

es as many messages as emma. how many messages did they each send?​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

Emma = 17

Clare = 12

Mark = 34

Step-by-step explanation:

Emma = x

Clare = x-5

Mark = 2x

2x+x+x-5=63

4x=5=63

4x=63+5

4x=68

x=17

Emma = x = 17

Clare = x-5 = 17-5 = 12

Mark = 2x = 2(17) = 34

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Carlos read 45% of his book. If his book has 480 pages, how many pages has he read?
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Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
antiseptic1488 [7]

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
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Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

(9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}(the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

brainly.com/question/3112062

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frez [133]

Answer:

10

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude²= hypotenuse²

8² + altitude² = (2√41)²

64 + altitude² = 2²*(√41)²              {(√41)² = √41*√41 = 41}

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      altitude² = 100

      altitude = √100 = 10

3 0
3 years ago
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