Ahmya bought $10 shirt. Spent 1/2 remaining money for dinner. Bought $4cofee, spent 1/4 of remaining money on souveniers. How much did she start with?

Answers

Answer 1

Answer:

The amount she started with $20

Step-by-step explanation:

Let the amount Ahmya started with = x

when she bought $10 shirt, the remaining money is = x - 10

she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]

amount left after this = [tex](\frac{x- 10}{2} )[/tex]

she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4

she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]

amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]

The two last fractions should sum up to 1;

[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]

x = $20

Therefore, the amount she started with $20


Related Questions

x + y divided by y; use x = 9, and y = 10

Answers

Answer:

10

Step-by-step explanation:

x+y/y

9+10/10

9+1

10

Answer:10

Step-by-step explanation:

9+10/10=

9+1=

10

Dan is tiling his rectangular, concrete porch with square, porcelain tiles. The length of the porch is represented by the function l(x)=4x+9, where x is the side length, in feet, of each tile. The width of the porch is represented by the function w(x)=2x+5 .

Answers

Answer:

8x^2+38x+45 so B

Step-by-step explanation:

i got it right on the test

The required equation of the function that represents the area of the porch is A(x) = 8x² + 38x + 45. Option D is correct.

Given that,
Dan is tiling his rectangular, concrete porch with square, porcelain tiles. The length of the porch is represented by the function l(x)=4x+9, where x is the side length, in feet, of each tile. The width of the porch is represented by the function w(x)=2x+5.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.

Here,
Length of the porch = 4x + 9
Width of the porch = 2x + 5
area of the porch A(x) = (4x + 9) (2x + 5 )
                                     = 8x² + 20x + 18x + 45
                                     = 8x ² + 38x + 45

Thus, the required equation of the function that represents the area of the porch is A(x) = 8x² + 38x + 45. Option D is correct.


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(d)
x + 12=36-24
)
4X=12 (6)
4x-12-180
la)
2x+ 17=180 (c)
****how do I solve this??****

Answers

Answer: The 4 answers are x=18, x=3, x=48, x=81 1/2.

Step-by-step explanation: Isolate the variable by dividing by each side by factors that don't contain the variable.

If i have 56 days left to finish my science course and i have to do 156 assignments how many assignments should i do a day to finish the class​

Answers

Answer:

3

Step-by-step explanation:

156/56=2.78 but you cannot do a decimal so need round to 3

Answer:

I think you should try and do about 27 assignments a day

Step-by-step explanation:

59-(2c+3)=4(c+7)+c.

Answers

Step-by-step explanation:

[tex]{:}\leadsto [/tex][tex]\sf 59-(2c+3)=4 (c+7)+c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 59-2c-3=4c+28+c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 56-2c=5c+28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 5c+28=56-2c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 5c+2c=56-28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 7c=28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf c={\dfrac {28}{7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf c=4 [/tex]

Answer:

c = 4

Step-by-step explanation:

59 - (2c+3) = 4(c+7) + c

59 - 2c - 3 = 4c + 28 + c

59 - 3 - 28 = 4c + c + 2c

28 = 7c

c = 28 / 7

c = 4

In a factory, a manager tests 150 products and finds defects in 8 of them. How many defects are likely going to be in a 9,000-unit order?

Answers

8 divided by 150 is .053333 which is a 5% defect on that batch. So 9,000 times .053333 is 479.997 or 480 defective

Find the intercepts of the function 2x - y = 6.

Answers

So the given function is in standard form: Ax + By = C

To find the x-intercept set 'y' to 0 and vice-versa

Solve for x:

2x - 0 = 6

     +0    +0

2x = 6

/2    /2

x = 3

x-int: (3, 0)

Solve for y:

2(0) - y = 6

0 - y = 6

-0       -0

-y = 6

/-1   /-1

y = -6

y-int: (0, -6)

What are the slope and yintercept of this function?​

Answers

Answer:

I think its B

Correct me If I am wrong :)

Step-by-step explanation:

WHAT IS 3 5/1000 as a decimal


Explain how and will give you brainlies... thx

Answers

Answer:

3.005

Step-by-step explanation:

Twice the sum of a number and 7 is more than 6 or at most -3. Which compound inequality can represent this relationship?
DA 2(x + 7) > 6 and 2(x + 7) = 3
OB 2(x+7) < 6 or 2(x + 7) 2-3
C 2(x+ 7) < 6 and 2(x + 7) 2-3
D. 2(x + 7) > 6 or 2(x + 7) = -3

Answers

The compound inequality that represent the situation is 2(x + 7) > 6 and 2(x + 7) ≤ -3.

How to find compound inequality?

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Compound inequality is an inequality that combines two simple inequalities.

Therefore, let's represent twice the sum of a number and 7 is more than 6 or at most -3 with compound inequality as follows:

Therefore,

2(x + 7) > 6 and 2(x + 7) ≤ -3

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help mes please have a 20.9 avarge

Answers

Answer:

7

Step-by-step explanation:

2/5 *25=10

10-3=7

7

What is the greatest number of 19 cent stickers that can be purchased with a $20 bill, assuming there is no sales tax?

Answers

Answer:

105

Step-by-step explanation:

First, you are going to convert dollars to cents. Since there are 100 cents in a dollar, multiple $20 by 100. Now you should have 2,000 cents. Now all you have to do is divide by 19, the cost of the stamps, and you should get 105.26. Because you can't by part of a stamp your answer would be 105.

A set of equations is given below:
Equation H: y = -x + 2
Equation J: y = 3x - 4
Which of the following steps can be used to find the solution to the settlement of equations? (4 points)
a: -x = 3x - 4

b: -x +2=3x

c: -x + 2 = 3x -4

d: -x + 1= 3x + 2

Answers

Answer:

Option C is the correct option.

Step-by-step explanation:

A set of equations is given below:

Equation H: y = -x + 2

Equation J: y = 3x - 4

We need to determine the step to solve the equations.

We can place value of y from Equation H into Equation J

i.e

-x+2=3x-4

So, Option C is the correct option.

Kylie's Stationery sells thank-you cards in packs of 6 and birthday cards in packages of 3. Surprisingly, the store sold the same number of each type of card this month. What is the minimum number of each card type that the store must have sold?

Answers

Answer:

6 thank you cards and 6 birthday cards

Step-by-step explanation:

x = thank you cards

y = birthday cards

since the same number is sold,

6x = 3y

lcm of 6 and 3 is 6

Therefore 6 thank you cards and 6 birthday cards were sold

Choose the correct words from the drop-down menu to make the true statement.

Answers

Answer:

No solution

Step-by-step explanation:

you get 40≠20

a store charges 8:95 for an 8 ounce jar of maple syrup.The price for a 10 ounce jar is 12:00. Which jar is better to buy ? What is the difference in the unit prices. If necessary round to the nearest cent

Answers

9514 1404 393

Answer:

8-ounce jar is a better buy$0.08

Step-by-step explanation:

The price per ounce for the 8-ounce jar is ...

  price/ounces = $8.95/8 = $1.11875 ≈ $1.12 . . . per ounce

The price per ounce for the 10-ounce jar is ...

  $12.00/10 = $1.20 . . . per ounce

The 8-ounce jar has a lower unit price, so may be better to buy.*

__

The difference in unit prices is ...

  $1.20 -1.12 = $0.08

_____

* If you need at most 10 ounces, but more than 8, the 10-ounce jar will have a lower total cost for the amount needed. The "better buy" depends on the context.

The mass of a bowling ball is 13 lbs and the volume is 102 in. How many lbs per cubic inch is its density? Round to the nearest hundreth​

Answers

Answer:

.13lbs/in

Step-by-step explanation:

Density of bowling ball = 0.127 lbs/inch³

Given that;

Mass of bowling ball = 13 lbs

Volume of bowling ball = 102 inch³

Find:

Density of bowling ball

Computation:

Density = Mass / Volume

Density of bowling ball = 13 / 102

Density of bowling ball = 0.127 lbs/inch³

Learn more:

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HELP ASAP LOOK AT PICTURES

Answers

Answer:

Choice D

Step-by-step explanation:

When you find the unit price it will be easier to eliminate the other choices and to find the unit price I found the easiest numbers to work with, so if we do $5 divided by 2 lbs it'll give us $2.5 and that's our unit price. Then for the graphs we are left with choices C and D. So all we have to do is see which one has the line passing through point (2,5) which stands for 2 oranges and $5.

how is ther all my ixl problems here with the answers ;-; wth-

Answers

Answer:

Lol right!!!! :)

Step-by-step explanation:

Answer:

There are answers since people ask the same questions, the questions are either on ixl or on different platforms. People ask for help here and people answer their questions.

Step-by-step explanation:

Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matiness cost $4 each.
Without the pass each movie is normally $8. If Seth plans to go to 30 movies this summer how much money would he
save?

Answers

Answer:

Seth saved $90.

Step-by-step explanation:

1.Find out how much would be spent without buying the movie pass.

Multiply the amount of money that one would spend for each movie, by the number of movies one saw.

8 * 30 = 240

2.Find out the amount that was actually spent

Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.

(4 * 30) + 30

= 120 + 30

= 150

3. Find the difference between the two values.

Subtract the amount that one was supposed to spend by the amount one did spend.

240 - 150

= 90

2x - 12 for x = 18
evaluate each expression for the given value of x.

Answers

Answer:

x=10

Step-by-step explanation:

2x-12 = 18

    +12  +12

2x=20

20/2 = 10

Answer:

24

Step-by-step explanation:

Original equation:

2x - 12 = ?

We know x = 18

So, just plug the value into the equation

2(18) - 12

Multiply 2 by 18

36

Subtract 12 from 36

The answer is 24

Hope this helped :)

What is the value of x in simplest form radical form

Answers

Answer:

I think 168 is the answer

The answer is 25
Use pythagoras to find x
24^2+ 7^2 = x^2

A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.

Answers

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

Stephanie spent half of her weekly
allowance playing arcade games. To earn
more money her parents let her clean the
oven for $7. What is her weekly
allowance if she ended with $12?
Pls give me an equation and your work

Answers

Answer:

5

Step-by-step explanation:

just do 12 minus 7 and you get 5

Please help. will give brainliest

The system of equations is shown in the graph.

2x + y = 4,

x – y = 2

What is the solution of the system?

(
,
)

Answers

Answer:

(2,0)

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=4; x−y=2

Step: Solve 2x+y = 4 for y:

2x + y + −2x = 4 + −2x (Add -2x to both sides)

y = −2x+4

Step: Substitute −2x+4 for y in x−y=2:

x − y=2

x−(−2x + 4)=2

3x − 4=2(Simplify both sides of the equation)

3x − 4 + 4 = 2+4 (Add 4 to both sides)

3x =6

(Divide both sides by 3)

x=2

Step: Substitute2forxiny=−2x+4:

y= −2x + 4

y=(−2)(2) + 4

y=0 (Simplify both sides of the equation)

Answer:

x=2 and y=0

Given that A(2, 1) and B(9, 25) are points on a graph. USE THIS INFORMATION TO ANSWER QUESTIONS 14 TO 16

Find the length of the line joining the two points
Find the gradient of the line joining the two points.
Find the equation of the line drawn from these points

Answers

Answer:

required answer:-A (2,1)B (9,25)

[tex]{:}\leadsto [/tex][tex]\sf AB=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(9-2)^2+(25-1)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(7)^2+(24)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {49+576}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {625}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf AB=25cm [/tex]

(1,9) and (6,34) What is that slope

Answers


Slope = 5
m = 25 / 5 = 5 / 1 = 5

Which two ratios are equivalent to 10 : 12?
11 : 13 and 20 : 24
10 : 12 and 11 : 13
5 : 6 and 20 : 24
5 : 6 and 11 : 13

Answers

Answer:

10 : 12 is equivalent to 5 : 6 and 20 : 24.

Step-by-step explanation:

You can divide and multiply the ratio by 2 to get an equivalent ratio.

The ratio which is equivalent to 10: 12 are 5: 6 and 20: 24 Therefore, option (C) will be correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

As per the given ratio, 10:12.

Divide numerator and denominator by 2

(10/2):(12/2) = 5:6.

Multiply the numerator and denominator by 2

(10×2);(12×2) = 20:24

Hence "The ratio which is equivalent to 10: 12 are 5: 6 and 20: 24".

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15/4- 4 1/3 I'm dumb and i can't figure this out help me plz

Answers

Answer:

15/4- 4 1/3

15/4-13/3

45/12-52/12

-7/12

Step-by-step explanation:

Answer:

You are not dumb

Step-by-step explanation:

15/4 - 4 1/3 make the 4 1/3 a improper fraction

15/4 - 13/3  find common denominator of 12

45/12-52/12  since 4 goes into 12 3 times, times the top by 3 to get 45. The second one-3 goes into 12 4 times, so times the top by 4 to get 52.

45/12-52/12= 45-52= -7 put the -7 over the 12

-7/12 that is your answer


Identify the slope from the equation y = 3x + 6

Answers

Answer:

m=3

Step-by-step explanation:

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