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2 years ago

What is the answer for this using substitution?

Mathematics

1 answer:

damaskus [11]2 years ago

8 0

9514 1404 393

Answer:

(x, y) = (2, -2)

Step-by-step explanation:

We would normally choose to use substitution when x or y could be easily solved-for without having fractions involved. That is not the case here. However, we observe that the term 3y appears in both equations, so we can substitute for "3y" instead of "y".

From the second equation, ...

3y = 5x -16

Substituting into the first equation, ...

2x +(5x -16) = -2

7x = 14 . . . . . . . . . add 16

x = 2 . . . . . . . . . . divide by 7

Using our equation for y, we get ...

3y = 5(2) -16 = -6

y = -2 . . . . . . . . . divide by 3

The solution is (x, y) = (2, -2).

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Complete the equation that represents the total value of the nickels and p pennies

vovikov84 [41]

Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

$p + n=24\qquad\qquad [1]$

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

$0.01p+0.05n=1$

Multiplying by 100:

$p+5n=100\qquad\qquad [2]$

A. Completing the equation:

$5n+p=100$

From [1]:

$p=24-n$

Substituting into [2]:

$24-n+5n=100$

Simplifying:

$24+4n=100$

Rearranging:

$4n=100-24=76$

$n=76 / 4= 19$

$p=24-19=5$

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

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2 years ago

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svetlana [45]

Answer:

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Step-by-step explanation:

The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.

The presidents that are 60 and above years during this period include

Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.

Making 6 of them out of 30

The percentage is given by

Number of presidents aged 60 and above×100/Total number of presidents

6×30/100=20%

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