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IRINA_888 [86]
3 years ago
6

the sum of three numbers is 45. the second of the three numbers is three more than twice the first number, x. the third number i

s two more than the first number, x. which equation can be used to solve for the first number, x?
Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0
Your equation is x + (3+2x) + (2+x) = 45
x being the first number, (3+2x) being the second, and (2+x) being the third.
not sure if i was supposed to try to simplify. hope this helps!!
malfutka [58]3 years ago
4 0

Answer:

x + (2x + 3) + (x + 2) = 45

Step-by-step explanation:

Here, x represents the first number,

Since, second number is three more than twice the first number,

⇒ Second number = 2x + 3,

The third number is two more than the first number,

⇒ Third number = x + 2

Thus, the sum of these numbers = x + (2x + 3) + (x + 2)

According to the question,

Total sum = 45

⇒ x + (2x + 3) + (x + 2) = 45

Which is the required equation.

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A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim
valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

n \times 0.05 + d \times 0.10 = 9.15

0.05n + 0.10d = 9.15  ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

<h3>d = 45</h3>

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

<h3>n = 93</h3>

Thus 45 dimes and 93 nickels were in bank

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Pi is the ratio of a circle's circumference to its diameter, which is roughly equivalent to 3.14 (rounded up). 
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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We can work through this problem backwards. if we need two times the sum of "n" and (-3) to get to 4, the only number that can be multiplied by 2 to get a product of 4 is 2, so "n" + (-3) must equal 2. so, From here, we can figure out that since 5 + (-3) equals 2, "n" Must equal 5. so, if we plug in 5 for "n" the equation looks like this:

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