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
tia_tia [17]
3 years ago
6

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b​

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

a : b = 25 : 9

Step-by-step explanation:

(3a - 5b) : (3a + 5b) = 1 : 4

Product of extremes = product  of  means

(3a - 5b) *4 = (3a +5b) * 1    {Distributive property}

3a * 4  - 5b*4 = 3a + 5b

12a - 20b = 3a + 5b

Add 20b to both sides

12a = 3a + 5b + 20b

12a = 3a + 25b

Subtract 3a from both sides

12a - 3a = 25b

9a = 25b

\dfrac{a}{b}=\dfrac{25}{9}

a:b = 25 : 9

You might be interested in
Evaluate 5z^2 when z = 3 and when z = -3
erastova [34]
When Z=3 it is 45 and when Z=-3 it is also 45.
3 0
3 years ago
Read 2 more answers
A line passing through the point (12, -5) has a slope of 1/3
Serggg [28]
Y=(1)/(3)x-9 that’s the answer
6 0
3 years ago
Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

3 0
3 years ago
Read 2 more answers
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

8 0
2 years ago
Jessica is measuring two line segments. The first line segment is 30 centimeters long. The second line segment is 500 millimeter
Zolol [24]

Answer:

800 mm or 80 cm

Step-by-step explanation:

We are given that Jessica is measuring two line segments.

Length of first line segment  =30 cm

Length of second line segment=300 mm

We have to find that Length of two line segments together

We know that 1 cm =10 mm

Length of firs line segment =

Length of two line  segments together=500+300=800 mm=

Hence, the length of two line segments together=800 mm=80 cm

Read more on Brainly.com - brainly.com/question/544258#readmore

8 0
3 years ago
Other questions:
  • susan bought a 1 kilogram bag of grape. on the way home, she ate 125 grams of the grapes. how many grams of grapes does susan ha
    6·1 answer
  • Given two functions f(x)=2x−1 and g(x)=−14x+2 , what is the function rule for (f+g)(x) ?
    10·1 answer
  • Prove that if BA=I then BA=AB.
    10·1 answer
  • Maya's construction company builds brick houses. The number of bricks her crew installs varies directly with the number of hours
    15·2 answers
  • 0.0000003105 in scientific notation
    8·2 answers
  • Insert commas as needed, and then write the number in words 984200
    7·2 answers
  • Find the axis of symmetry of each parabola​
    7·2 answers
  • Common Factors for <br> 21 and 63
    14·1 answer
  • If m+1/m= 3, then prove that m^5+1/m^5= 123
    13·1 answer
  • a girl scout has (5x-12) boxes of cookies and sells (3x+18) of them. Write an expression to represent the amount of boxes she ha
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!