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noname [10]
3 years ago
15

Pippa thinks of a number. She adds 1 to it to get a second number. She then adds 2 to the second number to get a third number, a

dds 3 to the third to get a fourth, and finally adds 4 to the fourth to get a fifth number. If n is the number she started with, what is the sum of her numbers?
Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer: n + 10

Step-by-step explanation:

Initial number = n

She adds 1 to it to get a second number. Second number = n + 1

She then adds 2 to the second number to get a third number. Third number = n + 1 + 2 = n + 3

She adds 3 to the third to get a fourth. Fourth number will be:

= n + 3 + 3

= n + 6

She adds 4 to the fourth to get a fifth number. Fifth number will be:

= n + 6 + 4

= n + 10

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5(6x - 1) - 10x + 5 = 4(x + 10) - 4x
Dmitry [639]

Answer:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

simplify both sides

30x-5-10x+5=4x+40-4x

Simplify even further

20x=40

x=2

3 0
4 years ago
Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a
Paraphin [41]

Answer:

  • $3200 at 3%
  • $4800 at 2%

Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

_____

If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

  3%·x = 2%·(8000-x) . . . . . the amounts of interest earned are the same

  3/2·x = 8000 -x . . . . . . . . divide by 2%

  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

  8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

_____

She earned $96 in each account for the year.

8 0
3 years ago
What is the value of x in the equation -2/9x=2/5
densk [106]

Answer:

x = (-9)/5

Step-by-step explanation:

Solve for x:

(-2 x)/9 = 2/5

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-2 x)/9 = 2/5 by -9/2:

(-9 (-2) x)/(2×9) = (-9)/2×2/5

Hint: | Express (-9)/2×(-2)/9 as a single fraction.

(-9)/2×(-2)/9 = (-9 (-2))/(2×9):

(-9 (-2))/(2×9) x = (-9)/2×2/5

Hint: | Express (-9)/2×2/5 as a single fraction.

(-9)/2×2/5 = (-9×2)/(2×5):

(-9 (-2) x)/(2×9) = (-9×2)/(2×5)

Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.

(-9)/9 = (9 (-1))/9 = -1:

(-2-1 x)/2 = (-9×2)/(2×5)

Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

--1 x = (-9×2)/(2×5)

Hint: | Multiply all instances of -1 in -(-x).

(-1)^2 = 1:

x = (-9×2)/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).

(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:

Answer: x = (-9)/5

7 0
3 years ago
Read 2 more answers
VI
barxatty [35]

Answer:D hope it helped

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is -2 considered a real number
lyudmila [28]

Yes. If we wanted to get even more specific, -2 is an integer, which falls under the label of the real numbers. √-2, on the other hand, is an imaginary number. The square root of -1 doesn't exist in the real numbers, so we invent a new number i with the property that i² = -1. Blending real and imaginary numbers together creates <em>complex numbers, </em>numbers with a real and imaginary part. This extension of the number system is tremendously useful because it essentially makes numbers two-dimensional, allowing us to manipulate and study them through a geometric lens.

5 0
3 years ago
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