Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that is 0.2% of my monthly income?” His friend replies, “I think you made a mistake. That should be 2%. You messed up on the decimal point.” (a) Assuming Thaddeus is not wrong, what is his monthly income? (b) If Thaddeus’ friend is correct, what is Thaddeus’ monthly income?

Answers

Answer 1

Answer:

a) If Thaddeus is not wrong, his monthly income is $6,185.

x/12.37 = 100/0.2

0.2x = 1237

x = 1237/0.2x

x = 6,185

b) If Thaddeus's friend is correct, Thaddeus's monthly income is $618.5

x/12.37 = 100/2

2x = 1237

x = 1237/2x

x = 618.5

Answer 2

If Thaddeus is not wrong, his monthly income is $6,185.

If Thaddeus's friend is correct, Thaddeus's monthly income is $618.5.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Thaddeus shakes his head as he pays $12.37 to the clerk for lunch.

a) If Thaddeus is not wrong then let his income be x.

So, x/12.37 = 100/0.2

0.2x = 1237

x = 1237/0.2x

x = 6,185

b) If Thaddeus's friend is correct

x/12.37 = 100/2

2x = 1237

x = 1237/2x

x = 618.5

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Related Questions

10 families were asked how many pets they have. Here is the data 2,3,3,5,4,0,1,3 find the mean median and mode of the data

Answers

The median is: 3

The mode is 3.

The mean is 2.7

Step-by-step explanation: because

A shirt that originally costs $35.99 is on sale for 60% off. What is the sale price of the shirt? Screen reader support enabled.

Answers

Answer:

14.40

Step-by-step explanation:

The sale price of the shirt is around $14.40 I think

Solution:

Note that:

35.99 - (35.99 x 60/100) = Sale Price

Simplify the equation to obtain the sale price.

35.99 - (35.99 x 60/100) = Sale Price=> 35.99 - (35.99 x 6/10) = Sale Price=> 35.99 - (107.97/5) = Sale Price=> 35.990 - 21.594 = Sale Price=> $14.396 = Sale Price=> $14.40 (Rounded)

Tell whether x=6 is a solution of x−1 ≤ 7.

Answers

Answer:

x = 6 is a solution of x - 1 [tex]\leq[/tex] 7.

Step-by-step explanation:

First, plug in x = 6 into the inequality.

x - 1 [tex]\leq[/tex] 7 for x = 6

6 - 1 [tex]\leq[/tex] 7

Now, solve.

6 - 1 = 5

5 [tex]\leq[/tex] 7

The statement above is true, so x = 6 is a solution to x - 1 [tex]\leq[/tex] 7.

Please inform me of any mistakes.


1. A number that is at least 90.

Answers

Answer:

A number that is at least 90 is 91.

Step-by-step explanation:

Brandon buys a radio for $44.97 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent.

Answers

Answer: If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal

Step-by-step explanation:

I need HELP ASAP, this is about Pythagorean theorem. HELP ASAP NOWWWW!!!!1111

Answers

Answer:

30

Step-by-step explanation:

The Pythagorean Theorem is c2 (c squared) = a2 (a squared) + b2  (b squared).

The side lengths (24 and 18) can be plugged in for a and b. C is the length of the hypotenuse.

24 Squared + 18 Squared= c squared

Use a calculator to help you.

24 squared is 576

18 squared is 324

So, 576+324=c squared

Simplify

900=c squared

Now use the squre root on both sides to get rid of the c squared. (use a calculator)

30=c

pleaseeee help meeee!!

Answers

Answer: 5,400 cubic feet

Step-by-step explanation: Multiply 90 x 15 x 4 to find the volume. Although I multiplied 15 and 4 first because I know off the top of my head that it equals 60, and 60 x 90 = 5400 cubic feet

A petrol pump can hold enough petrol to supply 80
cars with 35 litres each. How many cars can it
supply with 50 litres?

Answers

The answer is 56 cars because there is 2800 litres in the pump so if its 50 litres its going to be 2800/50=56

A teacher buys
5 boxes of red folders with 36 folders in each box
6 boxes of blue folders with 32 folders in each box
Which number is closest to the total number of red and blue folders that the
teacher buys?


PLEASE HELP I NEED THE ANSWER NOW BEFORE I GET A 0

Answers

380, also I found the answer sheet to ur entire test

Use the graph to answer the question.

A first quadrant coordinate plane is shown. Triangles P Q R and S T U are graphed with their hypotenuses on the line passing through the origin and the points P, R, S, and U. The angles at points Q and T are right angles. The vertices of the triangles are at: P, two comma one, Q, four comma one, and R, four comma two, and S, six comma three, T, twelve comma three, and U, twelve comma six.

What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle?

Enter the correct answer in the box.

Answers

Answer:

vertical : horizontal = 1 : 2

Explanation:

UT, vertical length: 3 units

ST, horizontal length: 6 units

Therefore vertical length : horizontal length = 3 : 6 = 1 : 2

Answer:

1:2

Step-by-step explanation:

Triangle PQR has a vertical side of 1 and a horizontal side of 2.

so the ratio is vertical : horizontal is 1:2

Triangle STU has a vertical side of 3 and a horizontal side of 6.

so the ratio is vertical : horizontal is 3:6

which can be reduced by dividing both sides by 3

so the ratio is vertical : horizontal is 1:2

round off 5012 to the nearest 1000​

Answers

Answer:

5,000

Step-by-step explanation:

Because 5 is in the thousands place and it is asking his neighbor 0 for help and since 0 is it a 5 or above he can't help 5 so 5 has to stay at 5,000 and can't go to 6.

I'm sorry I was late but I think this could still help you I hope have a great day:)

a basket when empty weight 350g it contains 60 seeds each weigh 250mg what is the total mass of the baskets in seed in kilograms​

Answers

Answer:

0.365 kg

Step-by-step explanation:

The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.Divide the 250mg by 1000g to get 0.25g. Multiply 0.25g by 60 to get 15g.Add 15g to the weight of the empty basket, 350g. You should end up with 365g.The question asked for kilograms so divide 365g by 1000.The final answer is 0.365kg.

I hope this explains it and helps :)

Answer:Answer:

0.365 kg

Step-by-step explanation:

The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.

Divide the 250mg by 1000g to get 0.25g.

Multiply 0.25g by 60 to get 15g.

Add 15g to the weight of the empty basket, 350g. You should end up with 365g.

The question asked for kilograms so divide 365g by 1000.

The final answer is 0.365kg.

I hope this explains it and helps :)

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

HELP PLEASE WUICKKY GIVJNG BRAINLIEDT AND EXTRA POINTSZZ

A shipping box in the shape of a rectangular prism has a volume of 15,000 cm3. The length of the box is 40 cm, and the width is 25 cm. What is the
height of the box?

A. 15 cm

B. 9.4 cm

C. 20 cm

D. 24 cm

Answers

Answer:

A

Step-by-step explanation:

15 cm

Store B sells the same computer as in the Example for $1,300. Store B offers a 20% discount on the computer. The tax rate is the same.

Which store has the lower total price? How much lower?

Answers

The store which has the lower total price is B, lower by $1040.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

Store B sells the same computer as in the Example for $1,300.

Store B offers a 20% discount on the computer.

Now

Store B offers a 20% discount on the computer,

CB= CA-0.2CA

CB=1300-0.2-1300

CB= 1300-260

CB=1040

Therefore, the cost by 20 percent will be $1040.

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Subract 6 hours 45 minutes 90 seconds from 4 hours 55 minutes and 100 minutes

Answers

Answer:

1:49:50 or 1 hour 49 minutes and 50 seconds

Step-by-step explanation:

6hrs , 45min , 90sec - 4hrs , 55min , 100 sec =  Answer :D

An oak tree casts a shadow that is 16 yards long. A wooden column near the oak tree casts a
shadow that is 8 yards long. If the oak tree is 12 yards tall, how tall is the wooden column?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

Wooden Column:  8 yards              x

                            ________ = ________, solve for x

Oak tree:                16 yards            12

8/16 = x/12

x12      x12

6 = x, the wooden column is 6 yards tall.

Please wait for more answers just in case i'm wrong

The length of a rectangle is 4 cm greater than its breadth. if the perimeter of the rectangle is 32cm what is the length and width​

Answers

Given :

The length of a rectangle is 4 cm greater than its breadth. The perimeter of the rectangle is 32cm.

To Find :

The Length and width of the rectangle.

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Width) = Perimeter}}}[/tex]

So,

Let's assume the length of the rectangle as x cm. Then the breadth will become (x – 4) cm.

Now, Substituting the given values in the formula :

[tex] \qquad \dashrightarrow{ \sf{2[x + (x-4)] = 32}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(x + x-4) = 32}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(2x-4) = 32}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{4x-8= 32}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{4x= 32 + 8}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{4x= 40}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{40}{4} }}[/tex]

[tex]\qquad \dashrightarrow{\pmb{ \bf{x= {10} }}}[/tex]

Therefore,

Length = 10 cmWidth = (10 – 4) = 6 cm

#7 please help i don’t know what i’m doing and i have to show work

Answers

Answer:

Answer is 6x-13

Step-by-step explanation:

Given

XZ=8x-18 and RZ=2x+5

XR=XZ-RZ

8x-18-2x+5

8x-2x-18+5

6x-13Ans


Are the polygon similar? Explain.
35
18
21
21
30
30
18

Answers

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Hope this helps!

125 times what equals 625

Answers

Answer:

5

Step-by-step explanation:

So let's start with making an equation,

125 x A = 625         Note: A is just a variable for the missing number

125A / 125 = 625 / A

A = 5

So, the missing number is 5

If you have any questions, let me know in the comments section of this answer!

5 * 125 = 625

And the answer is 5.

4) For every 3 notebooks Sally bought, she was given 1 free. Sally spent $12 and
received 8 notebooks. How many notebooks would she get if she had spent $130?

Answers

She would get 80 notebooks

Last year 950 people attended a town's annual parade. This year 1,520 people
attended. What was the percent increase in attendance from last year to this year?

Answers

Answer:

Original #: 950

New #: 1,520

If it is percent of increase, you would do new amount - original amount over original amount.

1,520 - 950 / 950 = 570 / 950

0.6 or 60%

Find the value 3x-2 when x=4

Answers

Answer:

10

Step-by-step explanation:

Substitute 4 for x to solve the expression:

[tex]3x-2\\3(4)-2\\12-2\\10[/tex]

The number of words in the three dictionaries is 1200. How
many words are there in 8 such dictionaries?

Answers

this is pretty simple! there are three dictionaries.

if all three dictionaries together have 1200 words, then each dictionary will have 1/3 of 1200 words. this is 400.

if each dictionary has 400 words, eight dictionaries will have 400*8 which is 3200 words.

Solve the equation -18=1/4y

Answers

Answer:

Solution=−72

Step-by-step explanation:

Combine multiplied terms into a single fraction−18=14−18=14. Multiply by 1. Multiply all terms by the same value to eliminate fraction denominators. Cancel multiplied terms that are in the denominator. Multiply the numbers. Move the variable to the left.

select all possible equivalent expressions below

Answers

Answer:the 2nd the 3rd the 5th. Maybe the first.

Step-by-step explanation:

Which of the following functions is nonlinear?
A. f(x)=1/5x-2
B. f(x) = 10x+100
C. f(x)= |3x -8|
D. f(x) = x

Answers

Answer:

C. f(x)= |3x -8|

Step-by-step explanation:

*view attached graph*

The fraction equivalent to 16/18 with denominator 45 is :
(a) 16/45
(b) 42/45
(c) 43/45
(d) 40/45

Answers

Answer:

40/45

Step-by-step explanation:

YAN PO YUNG ANSWER HOPE IT HELPS

[tex]\tt \dfrac{16}{18}\times \dfrac{2.5}{2.5}=\dfrac{40}{45}(d)[/tex]

answer it
ned help
helpppp

Answers

Answer:

Answer:

6265.8

Step-by-step explanation:

formule=(p×r×t)/100

=(5310×6×3)/100

=95580/100

=955.8

total amount=5310+955.8

=6265.8

Give 3 pairs of prime numbers that add up to 50

Answers

Answer:

3 and 47

7 and 43

19 and 31

Step-by-step explanation:

Prime numbers up to 50:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Therefore,

3 + 47 = 50

7 + 43 = 50

19 + 31 = 50

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