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
marshall27 [118]
3 years ago
9

Use the substitution method to solve these simultaneous equations.

Mathematics
1 answer:
Amanda [17]3 years ago
4 0

Answer:

Step-by-step explanation:

a) 3x+2(41-5x)=33            as y=41-5x is given

3x+82-10x=33

-7x+82=33

-7x=33-82

-7x=-49        cut the negative signs as its LHS and RHS

<u>x=49/7=7</u>

b)-5x+3(3x-3)=3   as y=3x-3 is given

-5x+9x-9=3

4x-9=3

4x=3+9

<u>x=12/4=3</u>

<u>c</u>)4x+11-5x=9

-x+11=9

-x=9-11

-x=-2         cut the negative signs as its LHS and RHS

<u>x=2</u>

d) 5y+ -5-2y=-11      as x=-5-2y is given

3y+-5=-11

3y=-11+5

3y=-6

<u>y=-6/3=-2</u>

e)-5x-4(2x+1)=35       as y=2x+1

-5x-8x+4=35

3x+4=35

3x=35-4

3x=31

x=31/3

<u>x=10.3</u>

You might be interested in
Which best describes a force?
mariarad [96]

Answer:

A vector with magnitude and direction

6 0
3 years ago
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
3 years ago
I need help ASAP. :)
ahrayia [7]
Flip over x-axis
down 8 units
4 0
2 years ago
A computer’s hard disk is spinning at 75 revolutions per second. How many degrees does it travel in a second? in a minute?
Lady_Fox [76]

Answer:

27000 degrees

Step-by-step explanation:

a circle is 360 degrees if it spun 75 times then it would be 75 x 360 which is equal to 27000

3 0
3 years ago
I need help I don't really understand this
pantera1 [17]
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144

The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95

If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
8 0
3 years ago
Other questions:
  • Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m
    5·1 answer
  • HELP I WILL MARK YOU AS A BRAINLIEST!!
    9·1 answer
  • How do I solve this? (Answer is K.)
    6·1 answer
  • Sianna bought 3 pens, 4 notebooks, and a calculator. The calculator cost $25. If x represents the cost of each pen and y represe
    6·2 answers
  • If two angles are supplement tart, it means they
    12·1 answer
  • The profit a company earns every month depends
    8·1 answer
  • Please help will give brainliest
    14·1 answer
  • Can someone please help I forgot how to do this.
    8·1 answer
  • According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
    14·1 answer
  • Simply the expression a = -3; b = 9<br> -7a + 4b<br><br> 46?<br> -15?<br> 15?<br> 57?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!