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sertanlavr [38]
3 years ago
11

[5x+10y+15z=60 [2x+4y+6z=60 [x+2y+3z=60

Mathematics
1 answer:
Alla [95]3 years ago
4 0

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. The set of equations reduces to ...

  x + 2y + 3z = 12

  x + 2y + 3z = 30

  x + 2y + 3z = 60

No values of x, y, and z can satisfy all three equations. There is no solution.

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Two families have a garage sale together the entire garage sale brought in $1640 one family made $182 more than twice as much of
ioda

Answer:

On the sale of garage One family made $1154 and Second family made $486

Step-by-step explanation:

Given:

Two families have a garage sale together the entire garage sale brought in $1640

Total Cost = $1640

Let the Second made be x

Also given one family made $182 more than twice as much of the second family

One family made = 182+2x

Now Total cost is equal to sum of One family and Second family.

Hence framing in equation form we get;

x+182+2x=1640

Now solving the equation we get;

3x+182=1640\\3x=1640-182\\3x= 1458\\x=\frac{1458}{3}= \$486

Hence,

Second Family made on sale of garage = $486

One Family = 182+2x=182+2\times486 = 182 + 972 = \$1154

Hence One Family made on sale of garage = $1154

8 0
3 years ago
Solve for the values of x by factoring.<br> x² – 52 - 24=O
svet-max [94.6K]

Answer:

26 plus or minus 10 times the square root of 7

Step-by-step explanation:

8 0
3 years ago
IA triangular parking lot is paved outside a new shopping center. The lengths of the sides of the parking lot are 100 meters, 11
Gemiola [76]

Answer:

Step-by-step explanation:

I believe the only way to solve this is by Heron's Formula.

Add up all the sides and divide by 2 to get the semi-perimeter:

113+100+86 = 299

299/2 = 149.5

Now fill in the rest, which looks like this:

\sqrt{s(s-a)(s-b)(s-c)}

where s is your semiperimeter value, a is the length of one side, b the length of another side, and c the length of the third side:

\sqrt{149.5(149.5-113)(149.5-100)(149.5-86)}

which simplifies to

\sqrt{149.5(36.5)(49.5)(63.5)}

which simplifies further to

\sqrt{17151929.44}

which, on your calculator, is 4141.49 meters squared (that's rounded to the nearest hundredth).

4 0
3 years ago
The state of Kansas has a sales tax of 5.3%, and the maximum rate a consumer can pay for local sales tax is 8.65%. What is the r
zvonat [6]
On the face of it, [5.3%, 8.65%].

_____
If you mean that up to 8.65% may be added to the base 5.3% rate, then the total can be in the range [5.3%, 13.95%].
4 0
3 years ago
Read 2 more answers
If r = 8 units and h = 5 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 1,607.68 cubic units B. 653.12
soldier1979 [14.2K]

Answer:

<h2>C. 1,004.8 cubic units</h2>

Step-by-step explanation:

V = ?\\r = 8\\h =5 \\\pi = 3.14\\\\V = \pi r^2 h\\\\V = 3.14 \times 8^2 \times 5\\V = 1004.8 cubic units

6 0
3 years ago
Read 2 more answers
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