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
WITCHER [35]
2 years ago
13

Use the linear combination method to solve the system of equations. â€""3x 8y = 16 3x 4y = 8 What is the value of x? â€""1 0 1 2

.
Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

The value of x from the system of equation is 0

Given the systems of equation

–3x + 8y = 16

3x + 4y = 8

Using the elimination method.

Add both equations

-3x + 3x + 8y + 4y = 16 + 8

12y = 24

y = 24/12

y = 2

Substitute y = 2 into equation 2:

3x + 4y = 8

3x + 4(2) = 8

3x = 8 - 8

3x = 0

x = 0

Hence the value of x from the system of equation is 0.

Learn more on simultaneous equations here:brainly.com/question/185757

You might be interested in
A road crew much repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to r
lutik1710 [3]

Answer:

16 hours

Step-by-step explanation:

Multiply the 4/5 by 4 to get the denominator as 20. So you do 4 x 4 which equals 16 and 5 x 4 which equals 20 so you get 16/20 miles or 16 hours.

3 0
3 years ago
A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}
Ray Of Light [21]

Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

For the second toss the probability we have 5 is again 1/6.

For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)

Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.

We can see that m = 1.

4 0
3 years ago
Find the fifth term in the sequence that is defined as follows:
hram777 [196]

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the n^{th} term.

The expression is as follows:

a_n=2(-1)^n

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

a_n=2(-1)^n

a_5=2(-1)^5

a_5=2\times (-1)

a_5=-2

Therefore, the fifth term in the sequence is -2.

5 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
Convert 9% to a fraction and a decimal
kotegsom [21]

9 percent

percent means out of 100

9/100

.09

3 0
3 years ago
Read 2 more answers
Other questions:
  • the cafeteria at Midtown Middle School surveyed 575 students about their favorite food to find the number of students that respo
    7·1 answer
  • Round 1,844,938 to the nearest 1,000 and 100,000
    9·2 answers
  • Solve this problem:
    12·1 answer
  • What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?
    10·1 answer
  • A is what percent of B?<br> A = 2 qt, B = 2 gal
    6·1 answer
  • !!!!!!! PLEASE HELP!!!!!
    5·1 answer
  • Can someone help me understand number 4? please
    5·1 answer
  • How do I simply 35 over 48?
    8·1 answer
  • 3. What other transformation would give the same final position for Building 1? (1 point)
    12·1 answer
  • Multiply.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!