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
larisa86 [58]
3 years ago
14

13. For what value of b would the following system of equations have an infinite number of solutions?

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

You might be interested in
Teachers were asked what their favorite ice cream was. The ratio of teachers that prefer rocky road to mint is 5 to 2. If there
DerKrebs [107]

28 teachers prefer mint.

Step-by-step explanation:

Given,

Total number of teachers = 98

Ratio of teacher that prefer rocky road to mint = 5:2

Let,

x be the original number.

Teachers who like rocky road = 5x

Teachers who like mint = 2x

5x+2x=98\\7x=98

Dividing both sides by 7

\frac{7x}{7}=\frac{98}{7}\\x=14

Teachers who prefer mint = 2x = 2(14) = 28

28 teachers prefer mint.

Keywords: ratio, division

Learn more about division at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

6 0
3 years ago
A jar contains 16 beads. 4 beads are red, 5are yellow, and 3 are blue. What is the probability of picking a blue bead ?
erma4kov [3.2K]

Answer:

Unlikely because there are less blue than any other color.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
.109 is what in fraction form?
dezoksy [38]

Answer: 109/1000

.109 can not be reduced, so we must put it in a fraction with 1,000.

So, the fraction would be 109/1000, because we need a denominator as 1,000.

The answer = 109/1000

6 0
3 years ago
What is 1481 rounded to the nearest hundred
laila [671]

Answer:

1500

Step-by-step explanation:

1481 to the nearest hundred is 1500 because 8 is nearer to 10

4 0
3 years ago
Read 2 more answers
Problem number eight
wariber [46]

Hello there! The answer is C. 7/9.

The question is asking you how to find the absolute value of -7/9. Absolute value is the value of the number, regardless if it is negative or positive. So, that makes C your answer.

I hope this was helpful in finding an answer to your question, have a great day! :)

7 0
3 years ago
Read 2 more answers
Other questions:
  • A single card is drawn from a deck of 52 cards, find the following
    5·1 answer
  • Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it
    7·1 answer
  • Plssssss help number 18 and 20​
    5·2 answers
  • Find the value of in the triangle shown below.
    6·2 answers
  • What is the slope of (-6, -5), (-1, 1)
    11·2 answers
  • The tens digit is two less than the ones digit and sum of the digits is 8.
    8·2 answers
  • Classify the object with the given side lengths as acute, obtuse, right, or not a triangle.
    8·1 answer
  • Another one he doesn't think I'm right on.
    12·2 answers
  • Last year jo paid £245 for her car insurance. This year she paid£883 for her car insurance. What was the percentage increase
    11·1 answer
  • -5+6(2x+2)=7<br> I need help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!