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egoroff_w [7]
3 years ago
6

Express 35as a decimal fraction of 56

Mathematics
1 answer:
jeka943 years ago
7 0
Divide: 35 / 56  = 5/8 = 0.625 

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Geoff purchased a life annuity for $4,800 that will provide him $100 monthly payments for as long as he lives. Based on IRS tabl
Anestetic [448]

Answer:George will receive $1200

first $100 payment which will included in his gross income.

Step-by-step explanation:

His gross income will be $100 per months multiple by 12months which will be his first $100 payment.

$100× 12=$1200

3 0
3 years ago
Mr Smith baked 3 trays of 12 cookies. after they cooled he divided the cookies equally into 4 bags . how many cookies did Mr. Sm
wariber [46]
Cookies baked = 12 × 3 (number of trays) = 36
Bags = 4
In 4 bags = 36 cookies
in 1 bag = 36/4 = 9 cookies (divide both sides by 4)
SO 9 COOKIES WERE PLACED IN EACH BAG


hope this helped :)
7 0
3 years ago
What is the smallest integer $n$, greater than $1$, such that $n^{-1}\pmod{130}$ and $n^{-1}\pmod{231}$ are both defined?
olasank [31]

First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.

We have

130 = 2 • 5 • 13

231 = 3 • 7 • 11

so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.

To verify the claim, we try to solve the system of congruences

\begin{cases} 17x \equiv 1 \pmod{130} \\ 17y \equiv 1 \pmod{231} \end{cases}

Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:

130 = 7 • 17 + 11

17 = 1 • 11 + 6

11 = 1 • 6 + 5

6 = 1 • 5 + 1

⇒   1 = 23 • 17 - 3 • 130

Then

23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)

so that x = 23.

Repeat for 231 and 17:

231 = 13 • 17 + 10

17 = 1 • 10 + 7

10 = 1 • 7 + 3

7 = 2 • 3 + 1

⇒   1 = 68 • 17 - 5 • 231

Then

68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)

so that y = 68.

3 0
3 years ago
I’ll mark brainlest
AlladinOne [14]

Answer:

2, 4

Step-by-step explanation:

8 0
3 years ago
The difference of two numbers is 40. Find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.
puteri [66]

Answer:Let the two unknown numbers be x and y.

So, x-y=40 ........Equation 1

And 0.3(x)= 37.5/100 (y)

From equation 1, x=40+y

Now, multiply through by 100 in equation 2.

We have,

30x = 37.5 (y)

We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.

Therefore, we have

300x = 375 (y)

Put "x=40+y" in the equation above

That is, 300 (40+y) = 375 (y)

1200 + 300y = 375y

1200 = 375y - 300y

1200 = 75y

Divide both sides by 75 to get your y

Therefore, y =16

From equation 1, we had x= 40 + y

Therefore X = 40 + 16

X= 56

Therefore the two unknown numbers are 56 and 16 respectively.

Step-by-step explanation:

6 0
3 years ago
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