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Pavel [41]
3 years ago
9

A house and a lot cost more than $89,000. The house cost $1000 more than seven times the cost of the lot. How much does the lot

cost
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0
7x+1000+x=89000

7x+x+1000-1000=89000-1000
8x=88000

8x/8=88000/8
x=$11000
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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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2 years ago
Y=3/2x-1<br> -6x+4y=-4<br> Does this have no solution or infinitely many solutions please explain.
Aleks04 [339]

Answer:

infinitely many solutions

Step-by-step explanation:

Let's eliminate the fractional coefficient in the first equation by multiplying that equation by 4:

4y = 6x - 4

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3 years ago
One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po
lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y

When x = 8, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0

When x = 7, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}

Where;

h = The height at which the laser meets the wall

h = \dfrac{9 \times  7}{8} =7.875

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

y = \dfrac{9 \times  7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0
3 years ago
Solve for x... please help!​
d1i1m1o1n [39]

Answer:

x = 69

Step-by-step explanation:

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3 years ago
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