Pam’s monthly food budget is equal to 40% of her monthly rent payment. If her food budget is $200 a month, how much is her rent payment each month?

Answers

Answer 1

so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]


Related Questions

The sales tax on a table saw is $8.25.
a. What is the purchase price of the table saw (before tax) if the sales tax rate is 5.5%?
b. Find the total price of the table saw.

Answers

Answer:

  a.  $150

  b.  $158.25

Step-by-step explanation:

a.

The amount of tax is the product of the tax rate and the price being taxed. This relation can let us solve for the price.

  tax = tax rate × price

  price = tax/(tax rate) = $8.25/0.055 = $150.00

The purchase price of the table saw is $150.00.

__

b.

The total price is the sum of the purchase price and the tax.

  total price = price + tax

  total price = $150.00 +8.25 = $158.25

The total price of the table saw is $158.25.

Simplify Sinx + cosx/ cos²x - sin²x​

Answers

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]

Use the distributive property to write the following expressions in expanded form. 4(x +y)

Answers

Answer:

4x+4y

Step-by-step explanation:

Answer:

4x + 4y

Step-by-step explanation:

To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.

So here, you want to multiply x by 4:

4x

Then multiply y by 4:

4y

And because the expression is adding the x and y, it comes out as:

4x + 4y

 Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)

Answers

Step-by-step explanation:

the line equation

y = ax + b

gives us slope (a) and y-interception (b).

4x + 3y = 5

3y = -4x + 5

y = -4/3 × x + 5/3

the slope of the original line is therefore -4/3.

a perpendicular slope flips x and y upside-down and flips the sign.

so, the perpendicular slope of -4/3 is 3/4.

the desired line looks like

y = 3/4 × x + b

b we get by using the given point and its coordinates :

-3 = 3/4 × 3 + b = 9/4 + b

-12/4 = 9/4 + b

b = -21/4

so our full line equation is

y = 3/4 × x - 21/4

or

4y = 3x - 21

-3x + 4y = -21

i need help with this problem

Answers

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45

Each of students reported the number of movies they saw in the past year. Here is what they reported.
11,6 ,9 ,16 ,12 ,18 ,14
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

18+16+14+12+11+9+6=8686÷7=12.2812.28=13

Answer:

12.3

Step-by-step explanation:

11+6 +9 +16 +12 +18 +14 =86

86/7 = 12.28571

Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit

          (12.3) rounded  to the nearest tenth.

 

Please help i wan't a good grade but I can't figure this out.

Answers

Answer:

angle DCE

Angle DEC

Angle ABF

Step-by-step explanation:

you had the wrong order

What is a2+b2+c2? Thank you for your help.

Answers

Answer:

Pythagoras theorem

Step-by-step explanation:

dhebbd

draw a model of 1/2 ÷ 4 pls don't say I cant draw it or something I DONT GET IT THEN BUT IF YOU CANT DRAW IT PLS EXPLAIN GOOD! URGENT!!!

Answers

Answer:

try using a pie chart and split the division up in the pie, look to internet for images for an example

Step-by-step explanation:

Answer:

The answer is 3.1

Step-by-step explanation:  1/2  ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3  ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!

a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?

Answers

Answer:

Final answer -

[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

How to solve currency conversions?

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

Read more about Currency Conversions at; https://brainly.com/question/11160294

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Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48

Answers

Answer:

LCM of 3 and 4 is 12

Step-by-step explanation:

This is your answer

Answer:

The answer is D.

Step-by-step explanation:

To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.

What angles are acute GFE mlk dbc dba

Answers

Answer:

d and a

Step-by-step explanation:

an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

Answer:

  k = 3

Step-by-step explanation:

The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...

  g(x) = f(x) +3

Comparing to ...

  g(x) = f(x) +k

we see that k = 3.

Need some help 54 pts

Answers

Step-by-step explanation:

as shown in the picture.

you can comment if there is a problem

Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)

Answers

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.

How to analyze and solve logarithmic expressions

Logarithms are trascendental functions, that is, functions that cannot be described algebraically.

In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:

[tex]\log_{b} x^{2} = 10[/tex]

[tex]2\cdot \log_{b} x = 10[/tex]

[tex]\log_{b} x = 5[/tex]

x = b⁵

Then, the value of the latter logarithm is:

log₃ (x⁻¹)[tex]^{1/b}[/tex]  

- b⁻¹ · log₃ x

- b⁻¹ · log₃ b⁵

- 5 · b⁻¹ · log₃ b

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]

Remark

The statement is poorly formated, correct form is described below:

Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916

NEED HELP ASAP The salaries of Nathan and Trisha are in the ratio of 5:9. Trisha's salary is £16800 more than Nathan's. Find Nathan's salary.​

Answers

Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200


Nathan’s salary is 5 units

5 * 4200 = 21000

What’s the difference between 4, 7/9 and 2 1/2

Answers

[tex]\huge \mathbb \orange{ANSWER} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf \purple{4 \frac{7}{9} - 2 \frac{1}{2} }[/tex]

[tex] \blue\implies \mathsf \pink{ 2(\frac{43}{9}) - (\frac{5}{2} )9 }[/tex]

[tex] \blue \implies \mathsf \purple{ \frac{86}{18} - \frac{45}{18} }[/tex]

[tex] \blue \implies \mathsf \pink{ \frac{41}{18} = 2 \frac{5}{18} }[/tex]

1). 15workers can dig a well in 16 days.how long will it take to dig the well by 20 workers?

2). 24 men can do a piece of work in 15 days. in how many days can 45 men do another piece of work 2 times as great

Answers

Answer:

a)12days

b)8days

Step-by-step explanation:

15x16

=240

240÷20

=12days

24x15

=360

360÷45

=8 days

Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy

Answers

Divide price by size of each and compare the u it price:


2.99/32 = 0.0934 per ounce


1.59/18 = 0.0883 per ounce


The 18 ounce do $1.59 has a lower cost per ounce so is the better buy

Which of the binomials below is a factor of this trinomial?

x^2 + 8x + 16

A. x + 4

B. x - 4

C. x + 8

D. x - 8

Answers

The answer is A.

Pick A.

Good luck

A car travels 80 miles on 3 gallons of gas. At the same rate (in miles per gallon) l, how many miles will the car be expected to travel on 5 gallons of gas?

A. 48

B. 130

C. 133 1/5

D. 160

Answers

Answer:

C

Step-by-step explanation:

Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?

Answers

Answer:

1/2 in/hr

Step-by-step explanation:

2 in / 4h   =   1/2 inch per hour

Click and drag like terms onto each other to simplify fully. 1+7+3y

Answers

Answer:

8+3y

Step-by-step explanation:

Combine like terms; 1+7=8. That is the only like term in this expression.

An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?

Answers

Answer:

25

Step-by-step explanation:

Number of rows: x

Number of trees per row: y

So x rows multiplied by y trees per row = 700

x × y = 700

xy = 700

This is our first equation

x rows = y trees per row plus three (or x rows minus three = y trees)

x = y + 3

So if x = y + 3,

In xy = 700, we can substitute the x because we have it's value

(y + 3)y = 700

y² + 3y = 700

Divide 3 by 2 then square the answer = 2.25

y² + 3y + 2.25 = 700 + 2.25

Simplify

(y + 1.5)² = 702.25

Get the square root of both sides

(y + 1.5) = ±26.5

y = 26.5 - 1.5 or -26.5 - 1.5

So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25

Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Answers

Answer:

23

Step-by-step explanation:

Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally.  They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.

-138 is close to -137.56

-6 is close to -6.12

[tex]\implies \dfrac{-138}{-6}[/tex]

Divide the top and bottom by -2:

[tex]\implies \dfrac{69}{3}[/tex]

Divide the top and bottom by 3

[tex]\implies 23[/tex]

If this is too difficult to divide mentally, you could use -140 and -7:

[tex]\implies \dfrac{-140}{-7}[/tex]

As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.

Given that g(x) = f(x) + k, identify a value of k that transforms f into g

Answers

Answer:

7

Step-by-step explanation:

The value of k will translate the graph up k units if k is positive and down k units if k is negative.  To transform f into g line f would translate up 7 units.

Find an equation of the vertical line through (-4,-3)

Answers

Answer:

x = -4

Step-by-step explanation:

Vertical lines are up and down, which means the x coordinate stays the same.

This means the line is in the form

x=

x = -4

Answer:

Step-by-step explanation:

A vertical line has the general equation of x = a. y can be anything.

The x value that you will use is -4. Every point must have -4 as its value for a.

Answer: x = -4

What is the range of this data set?

36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3

Answers

Answer:

Step-by-step explanation:

39.8 - 32.2 = 7.6

Range is subtracting the highest and lowest numbers by each other .

Based on the calculations, the range for this data set is equal to 7.6.

What is a range?

In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

Mathematically, range is calculated by using this formula;

Range = Highest number - Lowest number

From the given data set, we have:

Highest number = 39.8.Lowest number = 32.2.

Substituting the given parameters into the formula, we have;

Range = 39.8 - 32.2

Range = 7.6.

Read more on range here: https://brainly.com/question/9393969

Which of the following is true of the numbers 4 and 10?

A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.​

Answers

Answer:

None

Step-by-step explanation:

Answer is isn't there

the gcf = 2

the LCM = 20

112 is 80% of what number?

A. 140

B. 896

C. 1,400

D. 8,960

Answers

Answer:

A

Step-by-step explanation:

112/0.8 = 140

Answer:

A

Step-by-step explanation:

I am not sure about the answer

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