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zloy xaker [14]
2 years ago
6

Daniel wants to save money. The ratio of the amount of money in his savings account to the amount of money in his checking accou

nt was 1:6. Because Daniel is trying to get better at saving money, he moves money out of his checking account and into his savings account. Now the ratio of the amount of money in his savings account to the amount of money in his checking account is 4:3. If Daniel had $936 in his checking account before moving money, how much money does he have in each account after moving money?
Mathematics
2 answers:
Ulleksa [173]2 years ago
5 0
1










.........................
Serhud [2]2 years ago
4 0

Answer:

1

Step-by-step explanation:

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Step-by-step explanation:

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What is (3x^3)^3 in factored form? Help
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This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

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2 years ago
←<br><br> How many solutions does this linear system have<br> y =<br> x+2<br> 6x - 4y = -10
defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

<u>Slope-intercept form</u>

y = mx + b

m ... slope

b ... y-intercept

6x - 4y = -10

6x + 10 = 4y

\frac{6}{4}x + \frac{10}{4} = y

\frac{3}{2}x + \frac{5}{2} = y

If two lines have the <em>same slope </em>but <em>different y-intercept</em>, they are parallel - <u>system has no solutions</u>.

If two lines have the <em>same slope</em> and the <em>same y-intercept</em>, they are the same line and are intersecting in infinite many points - <u>system has infinite many solutions</u>.

If two lines have <em>different slopes</em> then they intersect in one point - <u>system has one solution</u>.

We see that lines have different slopes. First line has slope 1 and the other line has slope \frac{3}{2}. So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

8 0
1 year ago
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