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Viktor [21]
3 years ago
14

Bryan owes his friend more than $1,930 from a loan. Bryan has already paid his friend back $200 and continues to pay him $173 ea

ch month. Which of the following inequalities could be used to solve for x, the number of months Bryan needs to make payments to his friend in order to pay back his loan?
A.
$200x + $173 > $1,930
B.
$200x > $1,930
C.
$173x + $200 > $1,930
D.
$173x > $1,930
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

Choice C

Step-by-step explanation:

Bryan owes MORE than $1930 which means how much he pays back is going to be greater than 1930$

And so, $200 + $173 for certain number of months is going to be more than 1930.

Therefore, $200+ $173x >$1930

Hope this helped..

Have a great day : )

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4
Alik [6]

Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

(x-h)^2+(y-k)^2=r^2

We are given the equation of a circle as

3x^2+3y^2-6\alpha x+12y-3\alpha=0

Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

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Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
What does -6(-7 - 3k)
Zina [86]
Here, Just apply Distributive property which tells, a(b + c) = ab + bc
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Hope this helps!
4 0
3 years ago
A department store, on average, has daily sales of 28,651.79. the standard deviation pf sales is $1000. On Tuesday, the store so
adelina 88 [10]

Answer:

Tuesday's Z-score is 7.56

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Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.

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Now, Tuesday,s Z-score is given by;

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