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Katyanochek1 [597]
3 years ago
12

Help with my algebra homework

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Let's solve your equation step-by-step.

2x /5 + 3 = x/10 - 1

Step 1: Simplify both sides of the equation.

2x /5 + 3 =  x/10 - 1

2/5x + 3 = 1/10x - 1

Step 2: Subtract 1/10x from both sides.

2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x

3/10x + 3 = -1

Step 3: Subtract 3 from both sides.

3 /10x + 3 - 3 = -1 - 3

3/10x = -4

Step 4: Multiply both sides by 10/3.

(10/3) * (3/10x) = (10/3) * (-4)

x = -40/3

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Someone please help 5 points.
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Answer:

7.1 I am pretty sure okay cya

4 0
3 years ago
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WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
3.) You just deposited $3,000 into a savings account with 3% annual interest. How much will you have in total after 2 years?​
Korvikt [17]

Answer:2,820

Step-by-step explanation:

multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000

6 0
3 years ago
For the equation 3x - 5y = -3, what is the value of y when x is 1?
JulsSmile [24]

Answer:

6/5

Step-by-step explanation:

Put 1 where x is and solve.

3·1 -5y = -3

-5y = -6 . . . . . subtract 3

y = 6/5 . . . . . . divide by -5

The value of y is 6/5 when x = 1.

7 0
3 years ago
Read 2 more answers
5 2/3 divided by 2 im terrible at fractions
Degger [83]
You can make the mixed number 5 2/3 an improper fraction, which is the number in the numerator is larger than the number in the denominator.
Multiply, Add, and Keep the denominator are the steps you need to take.
Multiply the denominator by the whole number and then add the number in the numerator, while keeping the denominator. 5*3+2=17>>> 17/3 is the improper fraction.
17/3 ÷ 2 is the resulting equation.
When you divide fractions, you have to multiply by the reciprocal. 2/1 is the whole number 2, but in fraction form. The reciprocal is 1/2 because your just flipping the numerator and the denominator.
17/3 * 1/2 is the new equation.
When you multiply fractions, you multiply straight across.
17/3 * 1/2 = 17/6 or 2 5/6 is your answer.
8 0
3 years ago
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