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
Mamont248 [21]
3 years ago
7

If 7x+2a=3x+5a then x is equivalent to what

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0

Answer:

x=3/4a

Step-by-step explanation:

7x+2a=3x+5a (combine like terms)(subtract 2a and 3x)

4x=3a (divide 4 to get x alone)

x=3/4a

solniwko [45]3 years ago
4 0

7x+2a=3x+5a

7x-3x = 5a -2a

4x = 3a

x = 3a/4

You might be interested in
Can someone please simplify 3 1/3 divided by 2 2/5 please
satela [25.4K]

Simplify the following:

(3 + 1/3)/(2 + 2/5)

Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:

(3 + 1/3)/((5×2)/5 + 2/5)

5×2 = 10:

(3 + 1/3)/(10/5 + 2/5)

10/5 + 2/5 = (10 + 2)/5:

(3 + 1/3)/((10 + 2)/5)

10 + 2 = 12:

(3 + 1/3)/(12/5)

Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:

((3×3)/3 + 1/3)/(12/5)

3×3 = 9:

(9/3 + 1/3)/(12/5)

9/3 + 1/3 = (9 + 1)/3:

((9 + 1)/3)/(12/5)

9 + 1 = 10:

(10/3)/(12/5)

Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:

(10×5)/(3×12)

The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):

(5×5)/(3×6)

3×6 = 18:

(5×5)/18

5×5 = 25:

Answer: 25/18

8 0
2 years ago
The graph below represents the solution set of which inequality?
natulia [17]

Answer:

option: B (x^2+2x-8) is correct.

Step-by-step explanation:

We are given the solution set as seen from the graph as:

(-4,2)

1)

On solving the first inequality we have:

x^2-2x-8

On using the method of splitting the middle term we have:

x^2-4x+2x-8

⇒  x(x-4)+2(x-4)=0

⇒ (x+2)(x-4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x+2>0 and x-4

i.e. x>-2 and x<4

so we have the region as:

(-2,4)

Case 2:

x+2 and x-4>0

i.e. x<-2 and x>4

Hence, we did not get a common region.

Hence from both the cases we did not get the required region.

Hence, option 1 is incorrect.

2)

We are given the second inequality as:

x^2+2x-8

On using the method of splitting the middle term we have:

x^2+4x-2x-8

⇒ x(x+4)-2(x+4)

⇒ (x-2)(x+4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x-2>0 and x+4

i.e. x>2 and x<-4

Hence, we do not get a common region.

Case 2:

x-2 and x+4>0

i.e. x<2 and x>-4

Hence the common region is (-4,2) which is same as the given option.

Hence, option B is correct.

3)

x^2-2x-8>0

On using the method of splitting the middle term we have:

x^2-4x+2x-8>0

⇒ x(x-4)+2(x-4)>0

⇒ (x-4)(x+2)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x+2>0 and x-4>0

i.e. x>-2 and x>4

Hence, the common region is (4,∞)

Case 2:

x+2 and x-4

i.e. x<-2 and x<4

Hence, the common region is: (-∞,-2)

Hence, from both the cases we did not get the desired answer.

Hence, option C is incorrect.

4)

x^2+2x-8>0

On using the method of splitting the middle term we have:

x^2+4x-2x-8>0

⇒ x(x+4)-2(x+4)>0

⇒ (x-2)(X+4)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x-2 and x+4

i.e. x<2 and x<-4

Hence, the common region is: (-∞,-4)

Case 2:

x-2>0 and x+4>0

i.e. x>2 and x>-4.

Hence, the common region is: (2,∞)

Hence from both the case we do not have the desired region.

Hence, option D is incorrect.




5 0
3 years ago
2) Write the first five terms of the arithmetic sequence, if:<br> a3=8<br> a11=32
padilas [110]

Answer:

a

Step-by-step explanation:

the five terms for arithmetic is that

5 0
2 years ago
Which is the correct answer?
deff fn [24]

Answer:

The answer is H 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that
Airida [17]

Answer: 55,811.91

Step-by-step explanation:

Given

Principal amount is 25,000

Time Period is t=15\ yr

Rate of interest r=5.5\%

Amount in compound interest is given by

\Rightarrow A=P\left(1+r\%\right)^t

Insert the values

\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91

Therefore, 55,811.91 must be paid back

7 0
2 years ago
Other questions:
  • What is 184% of 600? show work
    13·2 answers
  • A map uses a scale of 1 in. : 20 mi. If the distance between two cities on the map is 1.5
    7·1 answer
  • Write the sentence as an inequality.<br> A number b divided by -14 is less than -25.
    6·2 answers
  • What equation represents a line that passes through (4,1/3) and has a slope of 3/4
    8·1 answer
  • Please walk me through this​
    14·1 answer
  • -6+2 what is the answer
    9·2 answers
  • What is the answer. I’m so stuck and I don’t understand ¿?
    15·1 answer
  • Can you please help me THANK YOU
    9·1 answer
  • Ecuaciones con resultado 17
    14·1 answer
  • The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!