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sergiy2304 [10]
3 years ago
7

7x-10x+18+2x=-5.0000

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Simplifying

7x + -10x + 18 + 2x = -5

Reorder the terms:

18 + 7x + -10x + 2x = -5

Combine like terms: 7x + -10x = -3x

18 + -3x + 2x = -5

Combine like terms: -3x + 2x = -1x

18 + -1x = -5

Solving

18 + -1x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18' to each side of the equation.

18 + -18 + -1x = -5 + -18

Combine like terms: 18 + -18 = 0

0 + -1x = -5 + -18

-1x = -5 + -18

Combine like terms: -5 + -18 = -23

-1x = -23

Divide each side by '-1'.

x = 23

Simplifying

x = 23

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Wang Yong owes the bank
dusya [7]

Given:

Wang Yong owes the bank $8500. He pays back a fixed amount each month. After 12 months, he still has to pay off $6460.

To Find:

The amount of money he pays the bank every month and how long it will take him to pay off the full debt.

Answer:

Wang Yong pays $170 each month, and doing so, it will take him a total time of 50 months to pay off the full debt.

Step-by-step explanation:

Wang Yong has borrows $8500 according to the question.

Say he pays the bank an amount of x every month, which is fixed. After 12 months, he still has to pay $6460.

In 12 months, he would have paid the bank 12x.

But $6460 is still left out of the original $8500.

This means,

8500-12x=6460\\\\12x=8500-6460\\\\12x=2040\\\\x=170

That is, Wang Yong pays the bank $170 every month.

Next, to calculate the amount of time it took Wang Yong to pay back his whole debt, we divide the total sum of money owed to the bank by the amount Wang Yong pays each month.

So, number of months = 8500 ÷ 170 = 50

That is, Wang Yong will pay off his debt 50 months after borrowing the money from the bank, provided he pays back $170 every month.

6 0
3 years ago
In the given figure, BAC = 90° and ABC = 45°. Prove that: AB = AC. ​
Amiraneli [1.4K]

Answer:

<h2>By angle sum property:</h2>

BAC+ABC+BCA=180°

90°+45°+x=180°

135°+x=180°

x=45°=BCA

<h2>since BCA=ABC=<u> </u>45° each </h2><h2>therefore,</h2>

AB=AC \\ (isosceles \: triangle \:  \\ theorem)

<h2><em><u>Hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
6 0
2 years ago
Solve for y: 2x + 4y = 6
riadik2000 [5.3K]

Answer:

y equals 3/2 - 1/2 x.......

8 0
2 years ago
Let f(x) = x^2+ 5x and g(x) = 5 - x. Find f(3) + g(3)​
Alchen [17]

Answer:

26

Step-by-step explanation:

f(x)=x^2+5x g(x)=5‒x

f(3)=3^2+5(3) g(3)=5‒3

f(3)=9+15 g(3)=2

f(3)=24

f(3)+g(3)=24+2

=26

i think it is easy to understand &i hope it helps you

6 0
3 years ago
A waether forecast predicts a 30% chance of rain for each of the next 3 days. Describe a way to stimulate the chance that it wil
DerKrebs [107]
Using a binomial distribution considering there's a 30% chance it will rain on any of the three days: 

<span>The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. </span>
<span>The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. </span>
<span>The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. </span>
<span>The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. </span>

<span>There's a 65.7% chance that it will rain at least once over the three-day period.</span>
5 0
3 years ago
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