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zavuch27 [327]
3 years ago
15

Steve just signed a lease to rent a new apartment. His monthly rent will be $800.00, and he will have to pay a one-time nonrefun

dable security deposit equal to half of the monthly rent. If Steve rents the apartment for x months, which equation can be used to determine T, the total amount Steve will pay to live in the apartment?
Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

800x+400=T

Step-by-step explanation:

800 is the monthly rent and x is the variable used to represent the number of months Steve will rent the apartment, and 400 is the security deposit that is half of 800. Lastly, when putting the equation together, the left side of the equation will equal to T.

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The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11
svet-max [94.6K]

Answer:

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Step-by-step explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°

4 0
4 years ago
Read 2 more answers
Describe the solutions for the quadratic equation shown below:
PtichkaEL [24]

The solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

To determine the the type of roots the quadratic equation 9x² - 6x + 5 = 0, we use the quadratic formula to find the roots.

So, for a quadratic equation ax + bx + c = 0, the roots are

x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}

With a = 9, b = -6 and c = 5, the roots of our equation are

x = \frac{-(-6) +/- \sqrt{(-6)^{2} - 4 X 9 X 5} }{2 X 9} \\x = \frac{6 +/- \sqrt{36 - 180} }{18} \\x = \frac{6 +/- \sqrt{-144} }{18} \\x = \frac{6 +/- \sqrt{-12} }{18}\\x = \frac{6}{18} +/- i\frac{12}{18} \\x = \frac{1}{3} +/- i\frac{2}{3} \\x = \frac{1 + 2i}{3}  or \frac{1 - 2i}{3}

Since the roots of the equation are (1 + 2i)/3 and (1 - 2i)/3, there are 2 complex roots.

So, the solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

Learn more about quadratic equations here:

brainly.com/question/18117039

5 0
3 years ago
Pls Help quick it will mean a lot!!
Dominik [7]

Answer:

The correct answer should be C.

7 0
3 years ago
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Round each addend to the nearest hundred and then the sum 403+179
maks197457 [2]
582

Add: 403
Then: 179
8 0
3 years ago
Patrick earns $40 per hour. He earned an extra $1000 for working on a special project. His pay check for the month was 7420. How
Likurg_2 [28]
Patrick worked 160.5 hours because you have to subtract 1000 from 7420 then divide that by 40 for your answer. Also, Patrick has a sweet job.
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