solve this equation step by step x+3*2=12-2*2

Answer:

Sunayana's income is ₹25000 and expenditures are ₹15000.

Step-by-step explanation:

Let i denote the monthly income and e denote the expenditures.

We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:  

[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]

Let's multiply both sides by e. This yields:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:

[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]

Let's multiply both sides by [tex](e-3000)[/tex]:

[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]

Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]

So, let's solve for the expenditures. Distribute the right:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]

Subtract [tex]\frac{5}{2}e[/tex] from both sides:

[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]

Subtract 5000 from both sides:

[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]

Multiply both sides by -6/5. So, the expenditures are:

[tex]e=\text{Rs }15000[/tex]

We can use the original ratio to find Sunayana's income:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

Substitute 15000 for e. Evaluate:

[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Answer: Income = 25000, Expenditures = 15000

Step-by-step explanation:

A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).

Adding 5000 to 5x results in 5x + 5000

Subtracting 3000 from 3x results in 3x - 3000

--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]

The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].

Set the fractions equal to each. Then cross multiply and solve for x.

   [tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]

5(3x - 3000) = 2(5x + 5000)             Cross multiplied

15x - 15000 = 10x + 10000                Distributed

5x - 15000 =            10000                Subtracted 0x from both sides

5x               =            25000               Added 15000 to both sides

               x = 5000                            Divided 5 from both sides

The original ratio of 5 : 3     -->  5x:3x

where 5x is the income and 3x is the expenditures results in:

income = 5x                            expenditures = 3x

             = 5(5000)                                         = 3(5000)

             = 25000                                          = 15000

Answer:

- 6

Step-by-step explanation:

The rate of change of the values is the slope m

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 32) and (x₂, y₂ ) = (0, 20) ← 2 ordered pairs from the table

m = [tex]\frac{20-32}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6 ← rate of change

Answer:

$34781

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Given

This inequality covers the interval greater than  - 1

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

Answer:

What is 18/4 Simplified? - 9/2 is the simplified fraction for 18/4.

Step-by-step explanation:

Answer:

- 9/2

Step-by-step explanation:

Answer:

$4.73 for the flour and $0.41 for the baking soda $5.14 together

Step-by-step explanation:

Answer: .....

Step-by-step explanation:

Answer:

n = 4

Step-by-step explanation:

Where's a or did you mean n?

Answer:

n=4

Step-by-step explanation:

5n+34=-2(1-7n)

1. So first expand.

5n+34=−2+14n

2 Regroup terms.

5n+34=14n−2

3 Subtract 5n from both sides.

34=14n−2−5n

4 Simplify  14n-2-5n to  9n-2.

34=9n−2

5 Add 22 to both sides.

34+2=9n

6 Simplify  34+2 to 36.

36=9n

7 Divide both sides by 9.

36/9=9

​​

8 Simplify 36/9 to 4

4=n

9 Switch sides.

n=4

Answer:

2

Step-by-step explanation:

f(x) = 3x^3 + 5x^2

f(-1)

so just substitute in the value -1 for x, and solve

f(-1) = 3(-1)^3 + 5(-1)^2

     = 3 * -1 + 5 *1

     = -3 + 5

     = 2

Answer:

23

Step-by-step explanation:

Answer:

They sold 48 sundaes.

Step-by-step explanation:

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

Answer:

The slope of the line passing through both points is 0

Step-by-step explanation:

Mathematically, we can calculate the slope as follows;

m = (y2-y1)/(x2-x1)

where (x1,y1) = (-6,-7)

(x2,y2) = (-24,-7)

Thus m = (-7 -(-7))/(-24 + 6) = 0/18 = 0

The slope of both is 0

Answer:

15x - 21

Step-by-step explanation:

-3(-5x+7)

you sidtribute the 3 to both numbers by multiplying both the -5 and the 7 by -3

-3 x -5x = 15x (remember, a negative times a negative equals a positive)

-3 x 7 = -21 (A negative times a positive equals a negative)

15x - 21

Answer:

It's a line parallel to the y-axis

Step-by-step explanation:

Note that the similar x value in both coordinates.

Then it's a line drawn parallel to the y-axis

Therefore, the slope is infinite as it makes a right angle with the x-axis.

Answer:

DE≅JK

Step-by-step explanation:

already have aa need the side after or before the 2 angles

Answer:

Step-by-step explanation:

We have one side and one angle, need one more side such that the angle is between those sides. It will make SAS congruency

So required sides are

HOPE IT HELPS YOU!!!

Answer:

The formula for D in terms of t is D=0.01875t²

The value of D is 76.8

Step-by-step explanation:

See above for an image

Hope I helped!

After calculating by definition of proportionality, the value of D is 76.8

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The distance, D, travelled by a particle is directly proportional to the square of the time, t.

So, We can defined as;

⇒ D = k × t²

Where, 'k' is constant of proportion.

Here, When t = 40, D = 30,

⇒ D = k × t²

⇒ 30 = k × 40²

⇒ 30 = k × 1600

⇒ k = 30 / 1600

⇒ k = 3/160

So, When t = 64, the value of D is,

⇒ D = 3/160 × 64²

⇒ D = 76.8

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

Step-by-step explanation:

Simplify

Answer:

brainliest plsssssss

Step-by-step explanation:

(6^4)^2

=(6^4)^2

=(6^4) x (6^4)

=(6 x 6 x 6 x 6) x (6 x 6 x 6 x 6)

=6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

=68

=1679616

Answer:

ok ok i dont get it

the teacher has 1 gallon of water

the kids get the same amount from that one gallon

now how many GALLONS do EACH child recieve?

thats messed up

find the mistakes

Answer:

- The equation that represent the cost C of renting a car and driving x miles is  C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

Answer:

I need to know how fast the driver is going

Step-by-step explanation:

Answer:

12/s

Step-by-step explanation:

Answer:

48 feet

Step-by-step explanation:

6 feet wide

3 times as long as it's wide (width) = 6×3 = 18

18 + 6 + 18 + 6

= 24 + 24

= 48 feet

Answer:

gabby is correct

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

EDG 2021

Answer:

B and E i think

Step-by-step explanation:

Answer:

63/4 or 15.75 or 153/4.

Answer:

1

Step-by-step explanation:

Answer:

Anything raise to 0 is 1

so (-6)^0=1