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
telo118 [61]
3 years ago
8

PLEASE SOLVE

Mathematics
2 answers:
nalin [4]3 years ago
5 0

Answer:

a =  \frac{14}{5}

Step-by-step explanation:

5a + 3b  = 35 \\ 3b = 35 - 5a \\ b =  \frac{35}{3}  -  \frac{5}{3} a \\ put \: b\:  =  \frac{35}{3}  -  \frac{5}{3} a \: into \:  \frac{a}{b}  =  \frac{2}{5}  \\  \frac{a}{ \frac{35}{3}  -  \frac{5}{3} a}  =  \frac{2}{5}  \\  \frac{a}{ \frac{35 - 5a}{3} }  =  \frac{2}{5}  \\  \frac{3a}{35 - 5a} =  \frac{2}{5}   \\ 5(3a) = 2(35 - 5a) \\ 15a = 70 - 10a \\ 15a + 10a = 70 \\ 25a = 70 \\ a =  \frac{70}{25}  \\ a =  \frac{14}{5}

kherson [118]3 years ago
3 0

Answer:

14/5

Step-by-step explanation:

So first i manipulated a/b= 2/5. i multiplied both sides by 5 making it 5a/b=2. Then i multiplied both sides by b making it 5a=2b. Then i substituted 2b into 5a+3b=35. Making it 2b+3b=35. then i simplified it making it 5b=35. Then i solved for b making it b=7. Then i substituted b into 5a+3b=35. So that it looked like this 5a+3*7=35. then it became 5a+21=35. Then you subtract 21 making it 5a=14. You then divide by 5 making it a=14/5

You might be interested in
The perimeter of a rectangle is 34 it's width is 6.5. Write and equation to determine the length
SashulF [63]

34  = 2(6.5) + 2(l)
4 0
4 years ago
Janet is buying a $28 necklace. The store reduces the price by 20% and then applies a $2 off coupon. How much will Janet pay for
Leokris [45]
Okay well the starting is 28 dollars, right. But since there is a 20 percent discount, you have to turn 20% to a decimal. That means moving the decimal sign twice to the left to make it .20. From the it would be .20*28, that should equal 5.6. Now, that 5.6 is the amount you have to take away, it is the price of the sale. From then, you subtract which is 28-5.6 which should be 22.4. From that 22.4 you now take away two dollars and then it should be 22.4-2 which should be 20.4. Now that is your answer, 20.4.
4 0
3 years ago
Read 2 more answers
Sam has 1 3/4 quarts of orange juice.
cupoosta [38]
He can fill 7 glasses because 1/4 can go into 3/4, three times and 1/4 can go into 1, four times ( 1 is the same as 4/4) then add 3+4 which equals 7.
7 0
3 years ago
Translate/ convert the following algebraic expressions into words <br><br> 1/2m + 7
MrRa [10]

Answer:

The answer is 7 plus ½ a number

6 0
3 years ago
What is the difference of the two polynomials?<br><br> (7y2 + 6xy) – (–2xy + 3)
Paraphin [41]
<span>(7y2 + 6xy) – (–2xy + 3)

7y^2 + 6xy +2xy +3

7y^2 +8xy +3

8xy + 7y^2 +3</span>
4 0
4 years ago
Read 2 more answers
Other questions:
  • Evaluate 4x - 7 when x = 6
    13·1 answer
  • Identify the domain and the range of the function
    13·1 answer
  • How to solve inequaities?
    10·1 answer
  • Evaluate the following expression. 2^-2<br> Answer needs to be a fraction
    6·2 answers
  • List the factor 12 and 20 then circle the common factor​
    7·1 answer
  • 2. The lengths of two insects are given below.
    9·1 answer
  • If a aquadrilateral is equiangular, then it coul be a .....
    7·2 answers
  • Can someone help me solve this
    15·1 answer
  • john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and
    15·1 answer
  • Round your answer to the nearest hundredth.<br> 9.07 (-6c - 14) = -3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!