Sandy has around $245 in her pocket but she thinks she could have up to $25 more or $25 less. Write and solve an absolute value equation that can show the maximum and minimum amount of money that Sandy has in her pocket.

Answers

Answer 1

Answer:

The absolute value equation is |x - 245| = 25The maximum amount of money in Sandy's pocket is $270The minimum amount of money in Sandy's pocket is  $215

Step-by-step explanation:

The absolute value equation for the amount of money in Sandy's pocket is given as;

|x - 245| = 25

The equation for the maximum amount of money in Sandy's pocket is given as;

x - 245 = 25

x = 25 + 245

x = $270

The equation for the minimum amount of money in Sandy's pocket is given as;

x - 245 = -25

x = -25 + 245

x = $215


Related Questions

Find the distance between (6,4) and (-6,-5) by using the distance formula

Answers

Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

1. Simplify the expression.

9m - 5n + m - 2n
2.Simplify the expression.

3 - 1 v + 7v - 1

Answers

Answer:

1. 10m - 7n

2. 6v - 1

Step-by-step explanation:

9m - 5n + m - 2n

10m - 7n ( combine like terms).

2.  - 1 v + 7v - 1

6v - 1 (combine like terms)

Answer:

1. 9m-7m

2. 6v+2

Step-by-step

Im pretty sure that the answer

A swimming pool has two pipes coming into it to fill it with water. One pipe takes 16 hours to fill it. The other takes 12 hours to fill it. How many hours will it take both pipes to fill the pool?

Answers

Answer:

8 hours

Step-by-step explanation:

8 hours because half of 16 is 8 and half of 12 is 6

If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours

I need help with this question???​

Answers

Answer:

X = 27

just trust me, im doing similar work as you

Answer: X = 27

Step-by-step explanation:

Use the distributive property to expand 0.05(50 + 40).

Answers

Answer:

4.5

Step-by-step explanation:

Karon has 16 friends he invited to his party. If each friend brings him 1.5 pounds of candy as his treat, how many pounds of candy will he get? Karon is surprised by the amount of candy he received. He wants to give half the candy away. How many pounds will Karon give away?

Answers

He will receive 24 pounds of candy.

thats a lot o.O

9.2x8.9= please put shown work on it please and thank you if you do then i will mark you as the brainist

Answers

Answer:

81.88 is the answer

Step-by-step explanation:

zach says that the expressions 6x - 36 and 3(2x -12) are equivalent

Answers

Answer:

True

Step-by-step explanation:

When you distribute the 3, you get x(2x3)-(12x3)

2x3=6

12x3=36

so 6x-36

and that is equivalent to the first expression.

A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.

Answers

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

Find the value of z such that 0.02 of the area lies to the right of z. Round your answer to two decimal places.

Answers

The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.

Given that,

0.02 of the area lies to the right of z.

Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.

Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98

Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.

Therefore, the value of z, rounded to two decimal places, is 2.06.

To know more about z-score click here;

brainly.com/question/15016913

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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).

To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.

Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.

By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.

for such more question on area

https://brainly.com/question/15822332

#SPJ8

Consider the equation 5x + 7 = 2x + 28. Your tasks to explain the steps you would take, in
order, to solve the equation for x. Imagine that you are writing this for someone who is learning
about this process for the first time. You would be as specific as possible and write in complete
sentences.

Answers

Answer:

x=7

Step-by-step explanation:

Step 1: Put the variables and constants on the same side and change their signs so it'll look like this 5x-2x = 28 - 7, you always move the smaller number to either the left or right depending on its position in the problem.

Step 2: solve each side normally like this, 3x = 21

Step 3: to get x by itself divide 3 on both sides and you should get x=7

Here's a run through of the steps

5x+7=2x+28

   -7       -7(subtract 7 from both sides

5x=2x+28-7

-2x   -2x(subtract 2x from both sides)

5x-2x=28-7

3x=21

3x/3 = 21/3 (divide 3 from both sides)

x=7

Find n and r 10 pointssss

Answers

N is 10.6
And
R is 5.2

An adult elephant that is 10 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that is a 8 ft telephone booth casts.
A. 7ft
B. 12 ft
C. 23 ft
D. 5 ft

Answers

Answer:

12 feet long bc of cross multiplying then dividing the product by 10 which gives you 12!

If sally has 90000000 apples and gives her freind sophie 1900 of them , and keeps 900 apples for her self hown many apples did she give to charity?1

Answers

Answer: 89,998,910

Step-by-step explanation: if she gives 1900 away and keeps 900 then I’m assuming she gives the rest away to charity and that would be 89,998,910 apples

Answer:

She gave 89997200 apples to charity

Step-by-step explanation:

90000000 - 1900 - 900 = 89997200

or

90000000 - (1900 + 900) = 89997200

Help please! Due today
Solve: |x|-7<15

Answers

Answer:

No Solution

Step-by-step explanation:

Answer:

pretty sure its

0.466666

Step-by-step explanation:

PLEASE ANSWER FAST ITS UNIT TEST
The graph of the equation y = ax2, where a is >0, is shown below


If a is multiplied by -3, the graph of the new equation is

A.
wider and opens downward

B.
wider and opens upward

C.
narrower and opens downward

D.
narrower and opens upward

Answers

Answer:

a or c

Step-by-step explanation:

4. Tom and Bina read 34 books in a month. Bina and Weiming read 58 books in the
same month. Weimning read twice as many books as Tom. How many books did
Bina read in that month?​

Answers

Answer:

92

Step-by-step explanation:

the question is only asking how many books Bina read, so the amount of books Weimning read is irrelevant.

to get the answer, you have to add both the amount of books bina read in the month.

hope this helped :)

The mean score on a set of 16 tests is 90. What’s the sum of all the test scores?

Answers

It should be 90 because in question it says that

A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.

Answers

Answer:

Length of longest piece is 82 ft

Step-by-step explanation:

Let the measure of the second piece be x

First piece be y

second piece is 6 ft less than 3 times the first

x = 3y - 6

y = (x + 6)/3

3rd piece = 2 + 2/3 * x

= 2 + 2x/3

Adding all equals 168

we only add in terms of x

so we have;

x + (x + 6)/3 + 2 + 2x/3 = 168

Multiply through by 3

3x + x + 6 + 6 + 2x = 504

6x + 12 = 504

6x = 492

x = 492/6

x = 82 ft

So the other pieces are

(x + 6)/3 = 82+6/3 = 88/3 ft

And lastly

2 + 2x/3

= 2 + 164/3 ft

need help on number 12 and 13 please!

Answers

Answer:3/4

4/3

Step-by-step explanation:

it i this

Find the area of the circle.

Answers

Answer:

50.24 centimeters squared

Step-by-step explanation:

The diameter (d) is 8 which means the radius is 4 (8/2)

we use the formula pi x radius^2

It says to use 3.14 for pi

so the equation is 3.14(4)^2=3.14 x 16 = 50.24

Answer:

50.24 centimeters squared

Step-by-step explanation:

i just took the test

f (x) = 20 - (1.27)
growth or decay ?

Answers

Answer:

Decay...? Read below

Step-by-step explanation:

Assuming you meant to put 20 - (1.27)x, it is decay. As the x increases, the y decreases, making it decay.

How to silver (10 points)

Answers

Answer:

there

Step-by-step explanation:

10.

TP = 20-12

TP = 8

SP = SQ

SP = 20

RQ = TP

RQ = 8

S-------15.5

20------12

12s = 310

s = 310/12

s =~25,8

11.

75--------46

100-------b

75b = 4600

b = 4600/75

b =~ 61,3

l² = 61,3² + 46²

l² = 3757,69 + 2116

l² = 5873,69

l = [tex]\sqrt{5873,69}[/tex]

l =~ 76,7

helppppp me please .

Answers

Answer:

stuff

Step-by-step explanation:

180-72 = 108

a2 = 108º

a3 = 108

a4 = 72

a4+a6 = 180 so

a11+a13 + 180...

How do you do these questions?

Answers

Answer:

k = 0.2

A = (M / P₀) − 1

Step-by-step explanation:

dP/dt = kP

When t = 0, P = 1000 and dP/dt = 200.

200 = 1000k

k = 0.2

P = M / (1 + Ae⁻ᵏᵗ)

When t = 0, P = P₀.

P₀ = M / (1 + A)

1 + A = M / P₀

A = (M / P₀) − 1

Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. Did Johnny get an a on his math test?

Answers

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

88% ...........................

¿ cuáles son los adjetivos? y ¿ cuáles son los adjetivos ? por favor es para hoy

Answers

Answer:

1) maldava y despota

2) pequenos

Step-by-step explanation:

Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!

Answers

The one worth $10 because it’s the most reasonable estimate,

which of the following functions is graphed below​

Answers

Answer:

A.

Step-by-step explanation:

When X is zero y is 7.

It looks like the y intercept is 7 hard to tell in the picture

Answer:

im going to guess C

Step-by-step explanation:

On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.

Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall

Answers

Answer:

4 7/8, 4 2/3, 4 1/6, 3 11/12

Step-by-step explanation:

To make it easier, convert it into decimals

4 2/3=4.666...

3 11/12=3.9166...

4 1/6=4.166...

4 7/8=4.875

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