The expression 2 T + 3 F + 4 M + 10 E gives the number of points a student earns on a test when the student correctly answers T true-false questions, F fill-in-the-blank questions, M multiple-choice questions, and E extended-response questions. Which statement is NOT true?

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:

3

Step-by-step explanation:

p - q ÷ 3 = ?

First, substitute in 3 for q and 4 for p

4 - 3 ÷ 3 = ?

You divide first because of the PEMDAS rule (Parenthesis, Exponents, Multiplication Division (left to right) Addition Subtraction (left to right)

4 - 1 = ?

Subtract to get your answer:

3

I hope this helps :)

Answer:

Your answer is v25 and v26.

Step-by-step explanation:

I hope this helped, have a good day! ;)

Answer:

r = 2.39 and C=2πr=2·π·2.39≈14.99997

Step-by-step explanation:

Using the formula

C=2πr

Solving for r=C 2π=15

2·π≈2.38732

and then u round up the 7 told the 8 to go up.

2.39

Answer:

1/b^4

Step-by-step explanation:

When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.

You currently have b^-4/1 flip it and change the sign to get 1/b^4

Answer:

Expression.

Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An expression is combination of variables, numbers and operators.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

For example 2x+3y-4

In the given expression x and y are the variables.

plus and minus are the operation symbols.

4 is a number and 2 and 3 are the coefficients of a variable.

If the expression has an equal sign then it becomes the equation.

Hence, an expression is a number, a variable, or a combination of numbers and variables and operation symbols.

To learn more on Expressions click:

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Answer:

The anser is 2:5 or 2/5.

Step-by-step explanation:

The ratio of saving money for Lisa and her brother is 5 : 2.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Lisa and her brother are saving money to go on a trip. For every $2 Lisa saves, her brother saves $5.

Therefore, The ratio of saving money for Lisa and her brother is,

Lisa : Her brother = 5 : 2.

learn more about proportion here :

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Answer:

21

Step-by-step explanation:it's 22222222211111211111112211

Answer:

3/5

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the answer is the first one, 3/3.

Answer:

5x+4

Step-by-step explanation:

A double negative sign gives a positive sign

Answer: 20

Step-by-step explaination: -4 minus 5x=20 because 4x5=20+-x=20

Answer:

i think you got them right

Step-by-step explanation:

Answer:

w 2,3 s2,1 p4,-2 r5,-1

Step-by-step explanation:

is simple you just have to swish the points to the other side to show a reflection

Answer:

y = 3x - 7

Step-by-step explanation:

-y = -3x + 7

divide both sides by -1 to get rid of the negatives

y = 3x - 7

Answer:

The answer is 15

Step-by-step explanation:

because it is 2 two each child and there are four and the mom has 7

Answer:

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Answer:

A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

I took the test on edge

Answer:

1805 feet

Step-by-step explanation:

1803-(-2)

1805

Answer:

m=-5

Step-by-step explanation:

Answer:

{-10, 10)

Step-by-step explanation:

| | - means to only take the number inside, not the sign

x=-10 or 10

Answer:

i dont understand what you want me to answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that a t-shirt cost Rs. 375,

then 2 t-shirt will cost Rs. 375*2

=Rs.750

a. the total cost will be

 13*750

=Rs.9750

b. a sponsor pays Rs.7020

  there will be a deficit of

  9750-7020

=2730

since there are 13 players each player will pay

2730/13

Rs. 210

Answer:

80mm

Step-by-step explanation:

As 1 cm = 10 mm

8 cm=80 mm

Answer:

80 millimeters

Step-by-step explanation:

Well you convert it

Answer:

RS = 8

Step-by-step explanation:

Given that R is on QS , then

QR + RS = QS , substitute values

3x - 8 + 2x = 3x , that is

5x - 8 = 3x ( subtract 3x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

RS = 2x = 2 × 4 = 8

Answer:

300 meters

Step-by-step explanation:

635-35

=600

600/2

300

Answer:

Population of bacteria in culture after 14 hours is 285541.

Step-by-step explanation:

We are given with [tex]P_{t} =P_{0}(2)^{\frac{d}{t}}[/tex]

Here initial population is 41000 , t=5 and d=14

Plug in these values into the formula

[tex]P_{14} =41000(2)^{\frac{14}{5} }[/tex]

Simplify

[tex]P_{14}= 41000(2)^{2.8}[/tex]

     =41000(6.9644)

     =285540.5847...

To the nearest whole number is 285541.

Answer:

285541.

Step-by-step explanation:

P0=41000-The initial population

t=14-Time elapsed

d=5-The doubling time

Pt=P0⋅2^t/d

Pt=41000⋅2^14/5-Plug in

Pt=285540.5848≈285541-(Use parenthesis in the calculator for the exponent)

​

Given parameters:

Cost of paint per month = $320

Cost of quality plain shirts  = $9 each

Selling price  = $24

Rent per month  = $100

Unknown:

Number of shirts Sam has to sell to break even  = ?

Solution :

 Let the number of shirt sold each month  = y

To break even the cost price per shirt must be equal to the selling price;

   i.e;

      Cost price  = selling price at break even point;

Cost price = Cost of paint + Cost of quality plain shirt + Cost of rent

                  = 320 + 9y + 100

                  = 420 + 9y

Selling price =  24y

To break even;

                      420 + 9y  = 24y

                      420  = j24y - 9y

                      420 = 15y

                          y  = [tex]\frac{420}{15}[/tex]  = 28

To break even, Sam must sell 28 shirts in a month.

Answer:

6

Step-by-step explanation:

Answer:

x = -8.4

Step-by-step explanation:

You do the inverse operations:

The inverse of division is multiplication, so:

x/1.2 = -7 (x 1.2) - multiply by 1.2

x = -8.4