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Blizzard [7]
4 years ago
13

Find the percent of each number. 64% of 75 tiles. 20% of 70 plants. 32% of 25 pages. 85% of 40 e-mails. 72% of 350 friends. 5% o

f 220 files.
Mathematics
1 answer:
ValentinkaMS [17]4 years ago
8 0

Clearly, wether we're talking about tiles, plants, pages, e-mails, friend or files, the math won't change! :)

Percentages are just special fractions, since they have denominator 100. So, for example, 64% of 75 is given by

75\times \dfrac{64}{100} = 75\div 100 \times 64 = 0.75\times 64=48

So, you divide the number by 100 and then you multiply by the percentage you want. As a last example, 20% of 70 is

70\times \dfrac{20}{100} = 70\div 100 \times 20 = 0.7\times 20=14

And so on with all the others

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The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

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From equation (4),

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From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
3 years ago
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