1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8090 [49]
3 years ago
7

Solve for x,y, and z

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
Equation 1)  3x + 2y - 5z = 3
Equation 2)  4x - 2y - 3z = -10
Equation 3)  5x - 2y - 2z = -11

Add equation 1 with equation 2.

Equation 4)  7x - 8z = 7

Then subtract equation 3 from equation 2.

Equation 5)  -x -z = 1

Multiply all of equation 5 with 7.

5)  -7x - 7z = 7
4)  7x - 8z = 7

Add equations together.

z = 14

Plug in 14 for z in equation 4.

7x - 8z = 7

7x - 8(14) = 7

7x - 112 = 7

7x = 119

x = 17

Plug in 17 for x in equation 1, and 14 for z.

1)  3x + 2y - 5z = 3

3(17) + 2y - 5(14) = 3

51 + 2y - 70 = 3

2y - 19 = 3

2y = 22

y = 11

So, x = 17, y = 11, and z = 14

~Hope I helped!~



You might be interested in
A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to t
8_murik_8 [283]

Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.

Hope this helps!

6 0
3 years ago
A map uses a scale of 0.5 cm = 75 km<br> 50 km=__cm<br> 280 km =__cm<br> 142.5 km=__cm
SpyIntel [72]

Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

5 0
3 years ago
-51 = -t/6 please help
Anvisha [2.4K]

Answer:

T=306

Step-by-step explanation:

Simplify both sides of the equation and separate the variable

(or just times 51 by 6)

5 0
3 years ago
Read 2 more answers
The scores of five students on a quiz are 11, 21, 16, 7, and 10. Find the mean and median of the scores.
photoshop1234 [79]
Hello!

The mean is the average. To calculate it you add up all the numbers, and divide by how many numbers there were. So for example, if you had 1 and 3, you would add them and divide by two since there were two numbers. We will calculate the mean of this data set below.

(11+21+16+7+10)=65
65/5=13

The mean of the data set is 13.
---------------------------------------------------------------------------------------
Now we need to find the median. To do so we have to first order all of the numbers from least to greatest.

7,10,11,16,21

Now we have to find the number in the middle of the data set.

11 is our median. (Note that when calculating the median with an even number of data points, you will find the mean of the two center numbers)

I hope this helps!


4 0
3 years ago
Suppose that 95% of the fasteners pass the initial inspection. Of those that fail the initial inspection, 20% are defective. Of
hichkok12 [17]

Answer

Step-by-step explanation:

Let x be the fasteners

95% of x passed, and 5% of x failed

20% of the 5% which failed are defective, remaining the 80% of the failed 5%.

Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.

Thus

a). The proportion ;

60% of 80% of 5% of x

mathematically

= 60/100 × 80/100 × 5/100

= 0.024 or 2.4%

b) initially 95% passed and later on 2.4% pass again. Therefore total that passed = 95%+2.4%=97.4%

c) probability that it passed on first inspection is 95/100

Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%

Thus probability of passing and not going through recrimping

= 1 - (1/25) = 0.96 or 96%

7 0
3 years ago
Other questions:
  • 60 is 25% of what number
    15·2 answers
  • Find the geometric mean for the following numbers 32 and 2
    12·1 answer
  • Please answer quick I need it.
    13·2 answers
  • This is confusing could someone Help.
    5·2 answers
  • What is the area of this trapezoid?
    14·2 answers
  • faith wants to use the formula c(f)= 5/9(f-32) to convert degrees to fahrenheit, f, to degrees celsius, c(f). if faith calculate
    13·2 answers
  • Which is the equation of a line with a slope of -- 2 that passes through the point (-2,0)?
    15·1 answer
  • What is the median of this data set? <br><br> Help!!!!!
    8·1 answer
  • Elise fills a waffle cone with ice cream exactly level to the top of the cone.if the cone has a diameter of 2 3/8 inches and a h
    6·1 answer
  • Carlos is making a wood picture frame. the picture frame is 11 inches by 14 inches. after nailing the frame together, Carlos mea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!