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
Sholpan [36]
3 years ago
7

3x + 4y = 27 5x - 3y = 16

Mathematics
2 answers:
maks197457 [2]3 years ago
5 0

Answer:

x = 5 , y = 3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 27 | (equation 1)

5 x - 3 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 3 y = 16 | (equation 1)

3 x + 4 y = 27 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x - 3 y = 16 | (equation 1)

0 x+(29 y)/5 = 87/5 | (equation 2)

Multiply equation 2 by 5/29:

{5 x - 3 y = 16 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{5 x+0 y = 25 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 5 , y = 3

Serhud [2]3 years ago
3 0

Answer:

The lines will cross at (5,3)

Step-by-step explanation:

You might be interested in
Tom is in Ms. Zhu’s class. To choose 4 students from her class of 24 students to answer questions. Ms. Zhu’s will put 24 cards,
Andrei [34K]

Answer:

5:6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Silvia was growing some plants. She measured the height, in inches, of the plants and made thisline plot to show her data:
FromTheMoon [43]

Answer:

The answer is C.

Step-by-step explanation:

The equivalents to 1/4 are 2/8, 3/12, 4/16 etc. So the fractions after 1/4 are higher than 1/4. Then you count how many 'x's are in the columns for those measurements and you will get 6.

5 0
2 years ago
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,
rjkz [21]

Answer:

a)  0.2725

b)  0.7275

c)  0.8948

Step-by-step explanation:

This is a binomial distribution probability problem. The formula is:

P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

a)

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725

So, the probability that no one has done a one-time fling is 0.2725

b)

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

THus, Probability that at least one person has done a one-time fling is 0.7275

c)

No more than 2 people means P (x≤2).

This is essentially

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)

P ( x = 0 ) is found in part (a), which is 0.2725

P (x = 1 ) and P(x=2) can be found using formula:

P(x=1)=\frac{8!}{(8-1)!1!}(0.15)^{1}(0.85)^{7}\\P(x=1)=0.3847

and

P(x=2)=\frac{8!}{(8-2)!2!}(0.15)^{2}(0.85)^{6}\\P(x=2)=0.2376

Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

8 0
3 years ago
2 2/7× 11/12 what is the ans
lisabon 2012 [21]

Answer:

There are 3 different forms of the answer.

Step-by-step explanation:

1. 44/21

2. 2.10

3. 2 2/21

3 0
3 years ago
Read 2 more answers
Find the value of the variable and the measure of each labeled angle.
nalin [4]
X + 18 = 5x - 38

x - x + 18 = 5x - x - 38

18 = 4x - 38

18 + 38 = 4x - 38 + 38

56 = 4x

56/4 = 4x/4

14 = x
3 0
3 years ago
Other questions:
  • In a mathematics class, half of the students scored 87 on an achievement test. With the exception of a few students who scored 5
    5·1 answer
  • –0.2(x – 20) = 44 – x
    9·2 answers
  • I need help ASAP on this algebra question
    12·1 answer
  • A home builder obtained a preconstruction loan of $50,000 for 8 months at an annual interest rate of 9.5%. What is the simple in
    12·1 answer
  • Eight minus two times a number is equal to the number plus 17. find the number
    12·1 answer
  • Rewrite 9•9 in exponential form
    9·2 answers
  • Which statements about the value of the digits in the number 6,666,666 are true?
    7·1 answer
  • Which statement is true?<br> A<br> 0.265 &lt;0.3<br> B<br> 0.265 &gt;0.3<br> C<br> 0.265 =0.3
    9·1 answer
  • True or false A graph that shows distance per unit of time shows speed. _________
    7·1 answer
  • Identify the hypothesis of the statement.If AB is a segment, then it has two endpoints.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!