Am I doing this right? The question is... At the first store Arlene visited, she spent 40% of her money plus $4. At the second store she spent 50% of her remaining money plus $5. At the third store Arlene spent 60% of her remaining money plus $6. When Arlene finished shopping at the three stores, she had $2 left over. How many dollars did she have when she started shopping?

My equation was x - 2 = ((0.4x+4)0.5+5)0.6+6. Both sides of the equation were to find how much she spent. I got 13.86363...

Answers

Answer 1

9514 1404 393

Answer:

  $90

Step-by-step explanation:

Let's consider the remaining money. If x represents the amount Arlene started with, then the remaining amounts are ...

  after first store: x -(0.4x +4) = 0.60x -4

After spending 50% of her money, the amount remaining will be 1-50% = 50%. Then spending 5 more dollars reduces the amount remaining by another 5.

  after second store: (0.60x -4)(0.50) -5 = 0.30x -2 -7 = 0.30x -7

After spending 60% of her money, the amount remaining will be 1-60% = 40%. Then spending 6 more dollars reduces the amount remaining by another 6.

  after third store: (0.30x -7)(0.40) -6 = 0.12x -2.80 -6 = 0.12x -8.80

This is reported to be $2, so we have ...

  0.12x -8.80 = 2

  0.12x = 10.80

  x = 90

Arlene started shopping with $90.

_____

Check

At the first store, Arlene spent 0.40×$90 +$4 = $40, so she had $90-40=$50 remaining.

At the second store, Arlene spent 0.50×$50 +$5 = $30, so she had $50-30=$20 remaining.

At the third store, Arlene spent 0.60×$20+$6 = $18, so she had $20-18 =$2 remaining.


Related Questions

Help me out I forgot how to do this lol

Answers

Answer:

1:2

Step-by-step explanation:

because there are 9 stars and 18 squares giving you 9:18 but when you simplyfi you get 1:2

Answer: 9:18

Step-by-step explanation:

Count the amount of stars which is 9, then count the amount of circles which is 18. So therefore the answer would be 9:18

The distance between X and Y is 6 1/2 units. Which number could represent the point Y?

Answers

Answer:

[tex]\huge\boxed{\sf 3.5}[/tex]

Step-by-step explanation:

Distance = [tex]\sf 6 \frac{1}{2} \ units = 6.5 \ units[/tex]

Here X is -3

So,

Point Y = -3 + 6.5 = 3.5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

B

Step-by-step explanation:

so we know x is -3

we also know that the number has to be 6.5 units away from -3

so, -3 plus 6.5 is 3.5

-3 minus 6.5 is -9.5

Either 3.5 or -9.5 would work but 3.5 is the only listed option, so the answer is B

1/2% of 412
with work

Answers

Answer:

1.5% x 412 = 618?

Step-by-step explanation:

Answer:

103/50

Step-by-step explanation:

Simplify

1/2

100

(412)

Which equation has a graph that is parallel to the graph of 2x - y = -1?

Answers

Make it slope intercept
2x = y - 1
y = 2x + 1
Parallel = same slope
Answer: y = 2x

Eugene ate 20% of the Christmas cookies his
grandmother made. If he ate 8 cookies, how
many are left?

Answers

Answer:

There are 32 cookies left

Step-by-step explanation:

There are c cookies when we started

c* 20% = 8 cookies

Change to decimal form

c * .20 = 8

Divide each side by .2

c * .2 / .2 = 8/.2

c =40

There are 40 cookies when we started

40 -8 = 32

There are 32 cookies left

EASY POINTS FOR YALL

Answers

Answer:

I would say the answer is A

Answer:

Step-by-step explanation:

A

m – 9 + m + 3 what is the awnser

Answers

Answer:

2m - 6

Step-by-step explanation:

Combine the two m's in the equation to get 2m in which each m is 1.  Combine -9 and 3 together to get -6 since you are adding 3 to -9.  You should get 2m-6 as your final answer.

Can someone plz help me?

Answers

Answer:

14.8

Step-by-step explanation:

Yvonne made 12 more cupcakes than she did yesterday. She made a total of 68 cupcakes over the two days. How many cupcakes did she make the second day?

Answers

Answer:

56

Step-by-step explanation:

68-12=56

Answer:

56

Step-by-step explanation:

56

4x + 2y = 7



I need help

Answers

the answer is circle in blue

THE GREATEST PRODUCT
You have sixty seconds to arrange the numbers 3.456
and 7 in the boxes below to get the largest productible
Each number may be used only once

Answers

Answer:

I can't see any boxes??

What is the value of tan60.cot60​

Answers

Answer:

1

Step-by-step explanation:

[tex] \tan \: 60 \degree. \cot \: 60 \degree \\ \\ = \cancel{\sqrt{3}} \times \frac{1}{\cancel{ \sqrt{3} }} \\ \\ = 1[/tex]

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.

Answers

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

ummmmmmmmmmmmmmmmmmmmm plz hel-p

Answers

Answer:

and

Step-by-step explanation:

ok is a great resource for this year

Answer:

2.1 in decimal or 2 1/10 in mixed fraction.

Madelyn has completed 10/20 problems. Will has completed 80% of the problems. Adam has finished 3/4 of them. Who has finished the most

Answers

Answer:

Will has completed the Most.

Step-by-step explanation:

Madelyn has completed 50%

Adam has completed 75%

Will has completed 80%

I hope this helps!!! Please Mark Me Brainliest!!!!!!

Answer: Will

Step-by-step explanation:

Madelyn = 50%. 10/20 = 50%, because 10/20 is half, and 50% is half

Will = 80%

Adam = 75%. 3/4 x 25 = 75/100, which equals 75%.

So in conclusion, Will has finished the most problems, 2nd is Adam, and last is Madelyn.

Hope this helps!

( multiple choice)What is the percent error in this scenario to the nearest tenth of a percent? The actual temperature was 65 °, but Tom read 69° on his thermometer.
A: 6.2%
B: 12%
C: 93.8%
D: 300%​

Answers

Answer:

I got c

Step-by-step explanation:

sorry if im wrong!

Answer:

I got C or B

Step-by-step explanation:

Not sure, Im not great at this stuff

Stefan sells Jin a bicycle for $115 and a helmet for $17. The total cost for Jin is 110% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?

Answers

Stephan spent $145.20 I believe because 115+17=132 and to make it easier, 10% of 132 is 13.2(it’s like multiplying 132 by 0.1) and 100% of 132 is 132 so then you just take 132 and add 13.2 to get $145.20 and how much money he made would be $13.20
Stephan spent $145.20

Taylor is buying a new flashlight. He can choose from red, blue, and silver flashlights that come in both a large size and a small size.
Which list shows all the possible flashlights that Taylor can choose?
A large, small

B. red, blue, silver

c. small red, small blue, large red, large silver

D small red, large red, small blue, large blue, small silver, large silver

Answers

Answer:

D

Step-by-step explanation:

It has all the flashlight colors and sizes.

my question is in the picture​

Answers

Answer:1

Step-by-step explanation:

Rhombus JKLM with vertices J(-4,7), K(0,8), L(-1, 4), and M(-5,3): (x, y) ------> (x + 2, y - 2)

Answers

Answer:

J'(-2, 5), K'(2, 6), L'(1, 2) and M'(-3, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, dilation and translation.

Translation is the movement of a point either up, down, left or right on the coordinate plane. If a point A(x,y) is translated a units right and b units up, the new point is at A'(x + a, y + b) while a point A(x,y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Rhombus JKLM has vertices at J(-4,7), K(0,8), L(-1, 4), and M(-5,3). If a transformation of (x, y) ------> (x + 2, y - 2) is done, i.e. 2 units right and 2 units down, the new points would be at:

J'(-2, 5), K'(2, 6), L'(1, 2) and M'(-3, 1)

least to greatest, 45%, .46, 11/25

Answers

Answer:

46, 11/25, 45%

Step-by-step explanation:

Least to greatest is 46 11/25 and 45%

please solve this If you can thank U ​

Answers

Answer:

Explanation:

I’m not entirely sure if it’s the right answer but please have a look

Answer:

[tex] \huge{ \boxed{ \tt{1 }}}[/tex]

❁ Question : Simplify :

[tex] \sf{( {x}^{a} ) ^{b - c} \times ( {x}^{b} ) ^{c - a} \times ( {x}^{c} )^{a - b}} [/tex]

❁ Solution :

First , Use power law of indices.

Remember : If [tex] \sf{ {a}^{m} }[/tex] is an algebraic term , then

[tex] \sf{( {a}^{m} ) ^{n} } = {a}^{m \times n} = {a}^{mn} [/tex] , where m and n are positive integers.

➝ [tex] \sf{ {x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}} [/tex]

➝ [tex] \sf{ {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb}} [/tex]

Now , Use product law of indices :

Remember : If [tex] \sf{ {a}^{m} }[/tex] and [tex] \sf{ {a}^{n}} [/tex] are the two algebraic terms , where m and n are the positive integers then [tex] \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n}} [/tex]

➝ [tex] \sf{ {x}^{ab - ac + bc - ba + ca - cb}} [/tex]

Since two opposites adds up to zero , remove them :

➝ [tex] \sf{ {x} \: ^{ \cancel{ab} \: - \cancel{ac} \: + \cancel{bc} \: - \cancel{ba} \: + \cancel{ca} \: - \cancel{cb} } }[/tex]

➝ [tex] \sf{ {x}^{0} }[/tex]

Use Law of zero index

Remember : If [tex] \sf{ {a}^{0}} [/tex] is an algebraic term , where a ≠ 0 , then [tex] \sf{ {a}^{0} = 1}[/tex]

➝ [tex] \boxed{ \sf{1}}[/tex]

And we're done !

Hope I helped ! ♡

♪ Have a wonderful day / night ツ

~~

give answer ☜
fast

ಠᴥಠ​

Answers

Answer:

Question a:

[tex]\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3[/tex]

Question b:

[tex]\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}[/tex]

Question c:

Note that this one is particularily simple as anything to the power of zero is equal to 1

[tex]((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1[/tex]

Question d:

[tex]\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}[/tex]

(4, 3), (–1, 6), i need to find the slope of these points.​

Answers

Answer:

[tex]m=\frac{-3}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-1, 6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{6-3}{-1-4}[/tex]Subtract:                              [tex]m=\frac{3}{-5}[/tex]Rewrite:                               [tex]m=\frac{-3}{5}[/tex]

Answer:

[tex]m=-\frac{3}{5}[/tex]

Step-by-step explanation:

An amusement park charges $6 to enter, and $3 per game. If you paid a total of $18, how many games did you play?

Answers

Answer:

6

Step-by-step explanation:

Please help me fast ​

Answers

Answer:

...............................4650

A package of 12 pencils costs £2.95.
A binder costs £3.48.
Penelope buys a package of pencils and a binder. She pays with a £10
note.
What is her change?

Answers

Answer:

£3.57

Step-by-step explanation:

£2.95 + £3.48 = £6.43

£10.00 - £6.43 = £3.57

I’m not sure but I think it’s 3:57

If Danny gains 40 yards on the football field and then looses 15, What was the end result?

Answers

Answer:

25 yards

Step-by-step explanation:

Subtract 15 from 40.

Hope this helped :)

Answer:

25 yards

Step-by-step explanation:

Arithmetics

Imagine a straight line divided into 1-yard marks.

Danny runs for 40 marks and locates at mark 40.

He later loses 15 yards and his new position is 40 - 15 = 25 yards

Therefore, the end result is that Danny is at the 25-yard mark.

A ball is dropped from a height of 50 feet. The function f(x) = 50(0.6)x gives the height in feet of feet of each bounce, where x is the bounce number. What is the height of the third bounce to the nearest tenth of a foot?

Answers

Answer:

The height of the third bounce is 10.8 feet

Step-by-step explanation:

Let us solve the question

∵ A ball is dropped from a height of 50 feet

∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce

∵ x is the bounce number

∵ We need to find the height of the third bounce

x = 3

→ Substitute x by 3 in the function above

∵ f(3) = 50(0.6)³

∴ f(3) = 50(0.126)

∴ f(3) = 10.8

The height of the third bounce is 10.8 feet

−23(15x + 3) = −3x − 9
what is x?

Answers

Answer:

X= - 10/57

Step-by-step explanation:

Answer:

I am really not sure bout this answer so please let me know if I'm wrong thank you (◍•ᴗ•◍)

Step-by-step explanation:

6v-10=2v-26

6v-10+10=2v-26+10

6v=2v-16

6v-2v=-16

4v=-16

v=-16/4

v=-4

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