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
Amiraneli [1.4K]
2 years ago
5

A and b are positive integers and 7a+ 5b= 49. Find the values of a and b.

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

Answer:

B = 49/5 - 7a/5

A = = -5b/7 + 7

Step-by-step explanation:

Given that,

7a+ 5b= 49

Solution:

<em>Solving for a:</em>

Add -5b to both sides:

  • 7a+5b - 5b=49 - 5b
  • 7a =  - 5b + 49

Divide both sides by 7:

  • \cfrac{7a}{7}  =  \cfrac{ - 5b + 49}{7}
  • a =  \cfrac{ - 5b}{7}  + 7

Hence,a = -5b/7 + 7.

<em>Solving for b:</em>

Add -7a to both sides:

  • 7a+5b+( - 7a)=49+(−7a)
  • 7a + 5b - 7a = 49  - 7a
  • 5b = 49 - 7a

Divide both sides by 5:

  • \cfrac{5b}{5}  =  \cfrac{49 - 7a}{5}
  • b =  \cfrac{49}{5}   -  \cfrac{7a}{5}

Hence,b = 49/5 - 7a/5.

You might be interested in
Which set of data contains one outlier?
Nikolay [14]
15,19,26,51,18,21,22,33,31,20,28,19,18
4 0
3 years ago
Sawyer is ordering sets of guitar strings and bags of picks for his guitar. A new set of strings costs $12 and a new bag of pick
quester [9]

Answer: The equation is 16g+6 ,lmk if you need the answer :)

Step-by-step explanation:

4 0
3 years ago
You and a friend are playing a best-of-three series (first to win 2 games wins the series). You are a stronger player and have a
mariarad [96]

Answer and Step-by-step explanation:

Given that probability of you winning each game = 0.68

And probability of you winning next game = 0.81

Your friend's chance of winning/you losing would be = 1-0.68= 0.32

also his chance of winning next game = 0.73

To find probability that you would win the series given that you need to win two games to win the series

= probability that you win first game and second game+ probability that you win first game, lose second game and win third game + probability that you lose first game, win second game and win third game

= 0.68*0.81+0.68*0.32*0.68+0.32*0.68*0.81

=0.8750

Therefore probability that you would win the series = 0.8750

Note: here we found the probability of winning by adding(or) up the three possible combinations that would result in a win

6 0
3 years ago
6x + 3y = -4<br> 15x + 7y = -8<br> how many solutions does the system of equations have?
dimulka [17.4K]
The system of equations has one solution
6 0
3 years ago
Some rectangles are not parallelograms
VARVARA [1.3K]

Answer:

I'm not sure what your asking, but, no, all rectangles are parallelograms.

I found this over the internet, and I hope it helps you understand why a rectangle is always a parallelogram, but a parallelogram is not always a rectangle:

It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

5 0
3 years ago
Other questions:
  • Which pair of points has a positive slope?
    14·2 answers
  • Help me with this question
    14·1 answer
  • The first three terms of a geometric sequence are as follows.
    15·1 answer
  • ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 125 adult​ males,
    8·1 answer
  • Find the rational number whose decimal expansion is 0.3344444
    12·1 answer
  • Find the midpoint of the segment with the following endpoints.<br> (-9, -5) and (-1, -9)
    14·1 answer
  • Convert the following fraction to a percentage (round to the nearest tenth if needed). 3/7
    12·1 answer
  • What is 8/9 to the second power
    6·2 answers
  • God please help me i’ve been stuck on this problem for hours and i’m so hungry:(
    12·2 answers
  • 8.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!