PLSS HELPP
Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b=

Answers

Answer 1
Solution is in the picture
PLSS HELPPTwo Numbers A And B Are In The Ratio 3 : 4. If The First Number Is Decreased By 4 And The Second
Answer 2

The value of a = 24 and b = 32. Let the original numbers be 3x and 4x since they are in the ratio 3 : 4.

Step 1: Form the new ratios after the given decreases.

The first number decreased by 4 becomes 3x - 4, and the second number decreased by 2 becomes 4x - 2. The new ratio is 2 : 3.

Step 2: Set up the equation based on the new ratios.

We have the following equation based on the new ratios:

(3x - 4) / (4x - 2) = 2 / 3

Step 3: Solve the equation for x.

To solve the equation, we can cross-multiply:

3(3x - 4) = 2(4x - 2)

Expand and simplify:

9x - 12 = 8x - 4

Now, isolate the variable on one side:

9x - 8x = 12 - 4

x = 8

Step 4: Find the values of a and b.

Now that we have the value of x, we can find the values of a and b:

a = 3x = 3 * 8 = 24

b = 4x = 4 * 8 = 32

So, a = 24 and b = 32.

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Related Questions

Factor the binomial expansion. 196x2 + 420x + 225

Answers

Answer:

Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor.

Step-by-step explanation:

The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs $(x,y)$ of positive integers is the harmonic mean of $x$ and $y$ equal to $20$

Answers

Answer:

  9 ordered pairs

Step-by-step explanation:

The requirement that the harmonic mean of two positive integers be 20 places a restriction on what those integers may be.

  20 = 2/(1/x +1/y)

  y = 10x/(x -10)

Integer values of x that produce integer values of y are ...

  x ∈ {11, 12, 14, 15, 20, 30, 35, 60, 110}

The corresponding 9 ordered pairs are ...

  (11, 110), (12, 60), (14, 35), (15, 30), (20, 20), (30, 15), (35, 14), (60, 12), (110, 11)

A rectangle has a length of (2x + 3) cm and a width of (x + 5) cm.

(a) Find an expression for the perimeter of the rectangle.

Answers

Answer:

P = 6x + 16

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width ) , then

P = 2(2x + 3) + 2(x + 5) ← distribute both parenthesis

  = 4x + 6 + 2x + 10 ← collect like terms

  = 6x + 16

this is the answer i do hope u understood it


In order to learn how to fly a plane, I must
spend 50 hours in flight training: several
hours of training must be with an instructor,
and the rest of my training hours must be in
a flight simulator. I can only afford to spend
$3496 for training, and the instructor
charges $98 per hour while the simulator
only costs $46 per hour. How many hours
should I spend in each type of training?

Answers

Answer:

5

Step-by-step explanation:

because if you divide it equals each one 5  hours hopes this helps.

A 100 pound person on earth would weigh about 38 pounds on mars and 17 pounds on the moon. What would a 150 pound person on earth

Answers

i got 57 because of you do 100 divided by 38 is 2.6 and then you do 150 by 2.6 and you get 57

can someone explain this to me

Answers

Answer:

the question is mistyped.. they are trying to ask for the area.. not are.. :P soooo ... to answer the question that is trying to be asked.. and not the one that is being asked.. b/c there isn't really an answer to what is the are.... :/

Step-by-step explanation:

area of a triangle is 1/2 area of the box that the triangle makes 1/2  hmm , hence the fomula.. 1/2*base*height....  b/c base*height is the area for a box... soooo ...

for this triangle it's 1/2* 3 * 4= 6  :)

note: even thou this is not a right triangle.. we still know the height of it.. the graph is showing us that.   so our formula still works... for this one  if we didn't know height.. we might have to use sin() or cos() to figure out height.. but here it's given. luckily  :)

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.
ANSWER:
The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

Answers

E






I wanna play among us hahahhahaahahahahajahhahahahaha plz let’s play

The measure of angle m is 7 degrees less than the measure of angle n. If the sum of the measures of the two angles is 59° find the measure of each angle

Answers

Answer:

Step-by-step explanation:

The measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The measure of angle m is 7 degrees less than the measure of angle n.

m = n - 7 ...(I)

The sum of the measures of the two angles is 59°

m + n = 59 ...(II)

Solving the above two linear equations in two variables by substitution method:

n - 7 + n = 59

2n = 66

n = 33

m = 33 - 7 = 26

Thus, the measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.

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Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

A) 21 years old

B) 22 years old

C) 24 years old

D) 27 years old

Answers

Answer:

24 yrs old. I hope this is helpful.

This is the second half of the other paper I showed:)!

Answers

Step-by-step explanation:

for all of it you should do sum of angles in a triangle

How would you do this type of problem?

Answers

Answer:

You make a table rounding up the times a card was drawn, then find the median. To find the median, find the middle number or the one that appears the most.

An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

42° and 48°

Step-by-step explanation:

Complementary angles add up to 90°.

So we have one angle x and the other angle x+6 which when added together will equal 90°.

x + x + 6 = 90

2x + 6 = 90

      -6    - 6

2x = 84

Divide both sides by 2

2x/2 = 84/2

x = 42

So one angle = 42°, and the other angle = 42° + 6° = 48°.

show us a parallelogram ABCD is given.If the diagonals AC and BC interest at O and AO = 4cm, find the length of AC.
plssssssss write the real answer.​

Answers

Answer:

8 cm

Step-by-step explanation:

We know the diagonals of a parallelogram bisect each other.

If O is the point of intersection of diagonals, AC is split into AO and OC.

AC = AO + OC

Since AO = OC, the length of AC is:

AC = 2*AO = 2*4 cm = 8 cm

Pls answer!!!! I will give a lot points

Answers

1. 24

2. 10.4

3. 12.8

so your basacually adding the number to itself

ex.

12.4+12.4= 24.8 that would be the answer

To solve the logarithmic inequality below, Braden
decides to first
create a table of values representing the left side of the inequality. Which statements accurately reflect Braden's inequality? Check all that apply.

The domain of the logarithmic expression is x < 2.

The solution set is the interval (5, 14).

When written as two inequalities and graphed, the graphs intersect at (5, 14).

When graphed, the overlapping shading extends to
positive infinity.

The ordered pair (32, 3) could be included in the
table.

Answers

Answer: B and E

Step-by-step explanation:

Edge

Answer:

BE

Step-by-step explanation:

just took test

Please help! Its due today!

Answers

Answer:

c

Step-by-step explanation:

since the lines only intersect each other once there is one solution at the point (1,4)

Answer:

C - One solution: x = 1, y = 4

Step-by-step explanation:

   The solution is where the lines intersect. We can see they only intersect at point, (1, 4), so the answer is C - One solution: x = 1, y = 4.

ANSWER QUICK PLEASE!!!!

Answers

Answer:

A

Step-by-step explanation:

A would be the answer because The distance you shoot from has no effect on shooting accurcy.

A company produces circular drink coasters. The equation x2 y2 = 18. 0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece? 4. 25 in2 8. 5 in2 18. 0625 in2 72. 25 in2.

Answers

The minimum possible area of the square cardboard will be given as

[tex]a= 72.2\ in ^2[/tex]

What will be the area of the dashboard?

The area of the square is the product of its two lengths.

We have an equation of the circular drink coaster

[tex]x^2+y^2=18.0625[/tex]

Comparing the above equation from the general form of the circle

[tex]x^2+y^2=r^2[/tex]

We can see that from the equation

[tex]r^2=18.0625[/tex]

[tex]r=4.25\ inch[/tex]

Diameter [tex]d=4.25\times 2=8.50[/tex]

The diameter will be the length of the square since the circle is cut from the square.

So the area of the square will be

[tex]a=d\times d=8.50\times 8.50=72.25\ inch^2[/tex]

Thus  the minimum possible area of the square cardboard will be given as  [tex]a= 72.2\ in ^2[/tex]

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please help me quickly!

Answers

Answer:

-209/222

Step-by-step explanation:

solve the mixed fractions and turn them into improper fractions and then take the lcm

Answer:

The total answer would be 0.25

y-2x=6 make y the subject of formula

Answers

Answer:

below...

Step-by-step explanation:

y=2x-6

Hello.

In order to make a variable the subject of a formula, we need to isolate it (get it by itself)

In this case, we need to add 2 to both sides.

[tex]\mathrm{y-2x+2x=6+2x}[/tex]

[tex]\mathrm{y=6+2x}[/tex]

And we're done!

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Hi im gonna use all my points on this

Answers

Answer:

10 bracelets

Step-by-step explanation:

5 feet of yarn is 60 inches of yarn, if each bracelet takes 6 inches of yarn to make, you have to divide 60 by 6 which is 10 bracelets

Factor completely x2 - 8x + 16.
(x + 4)(x + 4)
(X - 4)(x - 4)
(X + 4)(x - 4)
(x-2)(x-8).
help​

Answers

I think it’s (x+4)(x+4) hope this helps

Answer:

(x-4)(x-4) is the correct answer!! i got it right

Step-by-step explanation:

a transporter has one lorry and five pickups. the lorry can carry 100 bags of maize while each pickup can carry 20 bags. the transporter has to transport maize to a school. the lorry makes 5trips. two of the pickups make 7 trips each while the rest make 8 trips each. find the number of bags of maize that was transported to the school if each vehicle was full every trip made​

Answers

Answer:

1100 bags, above is the solution to the question

Rewrite the fractions using the least common denominator.

5/8 and 11/12

a. 15/24 and 22/24
b. 2/4 and 3/4
c. 60/96 and 55/96
d. 12/20 and 19/20

Answers

Answer:

its A

Step-by-step explanation:

An equation that models the decline in the number of US farms is y=3,962,000e−0.02t where t is the number of years since 1960 and y is the number of farms.

Answers

The decline in the number of farms means there is a reduction in the number of farms

The number of US farms after 5 years is 3584818

How to determine the number of farms

The equation that represents the number of farms is given as:

[tex]y=3962000e^{-0.02t[/tex]

After 5 years, the value of t is 5.

So, we have:

[tex]y=3962000e^{-0.02*5[/tex]

Evaluate the product

[tex]y=3962000e^{-0.1[/tex]

Evaluate the exponent

[tex]y=3962000*0.9048[/tex]

Evaluate the product

[tex]y=3584817.6[/tex]

Approximate

[tex]y=3584818[/tex]

Hence, the number of US farms after 5 years is 3584818

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How many perfect cubes are there between 2 to 200 ?
ANSWER fast

Answers

Answer:

Three

Step-by-step explanation:

The perfect cubes between 2 to 200 are

[tex] {3}^{3} = 27 \\ \\ {4}^{3} = 64 \\ \\ {5}^{3} = 125 \\ [/tex]

Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.

Which of the following is an example of when you would pay sales tax? A) Paid when you buy video games B) Comes out of your paycheck C) Paid when you own a home

HELP PLSSS 50+ POINTSS ASAP

Answers

Answer:A

You would pay sales tax when you buy a video games so A

(not sure but pretty sure)

Step-by-step explanation:

please expand it
(c-7d)2

Answers

Answer:

c² - 14cd + 49d²

Step-by-step explanation:

Given

(c - 7d)²

= (c - 7d)(c - 7d)

Each term in the second factor is multiplied by each term in the first factor, that is

c(c - 7d) - 7d(c - 7d) ← distribute both parenthesis

= c² - 7cd - 7cd + 49d² ← collect like terms

= c² - 14cd + 49d²

y + 5 equals 3/4 (x + 4) which graph matches the equation​

Answers

Answer:

i have no idea what the answer is

Step-by-step explanation:

(SHow ur work if u dont I will report :) Find the quotient: 49.6 ÷ 6.2
Answer:

Answers

Answer:

answer is 8 explained in picture

[tex][Hello,BrainlyUser][/tex]

Answer:

8

Step-by-step explanation:

Knowing that;

Quotient ⇒ Divide

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]

[tex]\frac{496}{62}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;496\;by\;62\;to\;get\;8[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\\ 62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace9\emptyspace6}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{49.6}{6.2}\:\mathrm{is}\:8[/tex]

[CloudBreeze]

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