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soldi70 [24.7K]
2 years ago
11

Transpose for indicated variable

Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Step-by-step explanation:

<em>3</em><em>1</em><em>.</em>

i \:  =  \:  \frac{prt}{100}  \\  \frac{prt}{100}  =  i \\ r =  \frac{i \times 100}{pt}

<em>3</em><em>2</em><em>.</em>

<em>d =  \frac{m}{v}  \\  \frac{m}{v}  = d \\ v =  \frac{m}{d}</em>

<em>3</em><em>3</em><em>.</em>

<em>t = 5 -  {v}^{2}  \\ 5 -  {v}^{2}  = t \\   - {v}^{2}  = t - 5 \\   v =  -  \sqrt{t - 5}</em>

<em>3</em><em>4</em><em>.</em>

<em>y = mx + c \\ mx + c = y \\ m = \frac{y - c}{x}</em>

<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>

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7 0
3 years ago
NEED HELP i dont know how to do this and i need to turn in soon
bulgar [2K]

Answer:

f(-1) = 0 and f(4) = 0

Step-by-step explanation:

look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair

8 0
3 years ago
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
The average of four different positive integers is 9. What is the greatest value for one of the integers?
saul85 [17]

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

\mathbf{\dfrac{(a+b+c+d)}{4} =9}

\mathbf{\dfrac{(a+1+2+3)}{4} =9}

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By cross multiplying;

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a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

brainly.com/question/15276410?referrer=searchResults

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Answer:

4

Step-by-step explanation:

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