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.

Answer:

[tex]\displaystyle -\frac{4}{13},~-\frac{3}{13},~-\frac{1}{13},~0[/tex]

Step-by-step explanation:

Rational Numbers

The rational numbers are defined as numbers of the form [tex]\frac{a}{b}[/tex] where a and b are integer numbers and b is not zero.

Two rational numbers expressed as fractions can be better compared if they have the same denominator. For example, 5/11 is greater than 3/11 because they have the same denominator and 5 is greater than 3.

Similarly, if we have the fractions -5/13 and 1/13, it's clear that the first fraction is less than the second. If we wanted to have some rational numbers between them we only have to play around with the numerators: any number between -5 and 1 will do.

Examples of the required numbers:

[tex]\displaystyle -\frac{4}{13},~-\frac{3}{13},~-\frac{1}{13},~0[/tex]

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

Answer:

1+1=2

Step-by-step explanation:

1 as a single number plus another 1 as a single number is 2. like this:+=.

Answer:

389 people

Step-by-step explanation:

Step 1

we convert 1500 inches to feet

1 inch = 0.0833 feet

1500 inches = x feet

x = 1500 × 0.0833

x = 125 feet

Step 2

We create a proportion

Since it is on both sides

20/9ft × 10ft = x/7 feet × 125 feet × 2

20/90 = x/1750

Cross Multiply

90 × x = 20 × 1750

x = 20 × 1750/90

x = 35000/90

x = 388.88888889

approximately = 389 people

Answer:

A. Horizontal and slope is 0

B. Horizontal and slope is 0

C. Vertical and slope is undefined

D. Vertical and slope is undefined

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=3 because if you subtract 1 its 4x=12 which is 3

Answer:

u = -5/9

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-3(u + 2) = 5u - 1 + 5(2u + 1)

Step 2: Solve for u

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

Answer:

[tex] \sf u = -\dfrac{5}{9} [/tex]

Step-by-step explanation:

Expand the following:

[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 5(2u + 1)

5(2u + 1) = 10u + 5:

[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 10u + 5

-3(u + 2) = -3u - 6:

[tex] \longrightarrow [/tex] -3u - 6= 10 u + 5 u - 1 + 5

Grouping like terms,

5u - 1 + 10u + 5 = (5u + 10u) + (-1 + 5):

[tex] \longrightarrow [/tex] -3u - 6 = (5u + 10u) + (-1 + 5)

5u + 10u = 15u:

[tex] \longrightarrow [/tex] -3u - 6 = 15u + (-1 + 5)

5 - 1 = 4:

[tex] \longrightarrow [/tex] -3u - 6 = 15u + 4

Subtract 15 u from both sides:

[tex] \longrightarrow [/tex] (-3u - 15u) - 6 = (15u - 15u) + 4

-3u - 15u = -18u:

[tex] \longrightarrow [/tex] -18u - 6 = (15u - 15u) + 4

15u - 15u = 0:

[tex] \longrightarrow [/tex] -18u - 6 = 4

Add 6 to both sides:

[tex] \longrightarrow [/tex] (6 - 6) - 18u = 6 + 4

6 - 6 = 0:

[tex] \longrightarrow [/tex] -18u = 4 + 6

4 + 6 = 10:

[tex] \longrightarrow [/tex] -18u = 10

Divide both sides of -18 u = 10 by -18:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-18u}{-18}= \dfrac{10}{-18} [/tex]

[tex] \sf \dfrac{-18}{-18}=1: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{10}{-18} [/tex]

[tex] \sf \dfrac{10}{-18}=\dfrac{5}{-9}: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{5}{-9} [/tex]

Multiply numerator and denominator of [tex] \sf \dfrac{10}{-18} [/tex] by -1:

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{-5}{9} [/tex]

Answer:

try using percent decrease calculator

Step-by-step explanation:

maybe that'll help

Answer:

The answer is 20%

Step-by-step explanation:

5=100%

meaning if you decrease it by one each time it will look like this:

5=100%

4=80%

3=60%

2=40%

1=20%

so if it was decreased to four your answer is 20%

and you still have 80% remaining.

Answer:

[tex]+54[/tex]

Step-by-step explanation:

To solve this, you will need inverse operations to isolate the x. Since x is multiplied by 2/3, you want to divide it by 2/3. Since we always have to do the same thing to both sides, we will also divide 36 by 2/3.

[tex]\frac{2}{3}x = 36\\\\$\scriptsize{\div2/3\;\; \div2/3}\\[/tex]

[tex]\frac{2}{3} x \; \div \; \frac{2}{3} = x[/tex]

([tex]\frac{2}{3}[/tex] cancels out)

[tex]\frac{36}{2/3} = 54[/tex]

[tex]x = 54[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\;Enthusiast[/tex]

Answer:

scalene triangle

Picture:

(in attachment)

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

The answer is

[tex] \huge - \frac{7}{4} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{17 - 10}{ - 2 - 2} = \frac{7}{ - 4} = - \frac{7}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{7}{4} \\ [/tex]

Hope this helps you

Answer:

43.75

Step-by-step explanation:

It you want to find the speed of the cat, all you have to do is divide 35 by 0.8.

Answer:

poster board

Step-by-step explanation:

2Conditions:

-greatest number of 1 item

-still receive change

If you go for the cheapest items like pencil or eraser you will pay with $10 for

$0.10* 100items= $10 yet no change

If you go for second most cheapest pen $0.25 you can by

if you buy 4 pencils and each with $0.25 you will pay  $1

for $ 10 you can get 4*10 = 40 pencils yet no change

if you go for the third cheapest item is the poster board

$ 1.50*2= $3 so $1.50*6 =$9 and the change will be $10-9$ = $1

Answer:

option 1

Step-by-step explanation:

hope that helps you :)

Answer:

y>/ 2x -4

Step-by-step explanation:

This >/ means the line underneath

Answer:

4x - 9y = 3

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

4x - 8 = 9y - 5 ( subtract 9y from both sides )

4x - 9y - 8 = - 5 ( add 8 to both sides )

4x - 9y = 3 ← in standard form

Answer:

The dependent variable is the hour.

Answer:

ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv

Step-by-step explanation:

sorry I really need points-

Answer:

0

Step-by-step explanation:

A slope of a straight, horizontal line is 0 as it is not going up or down.

Answer:

B) 0

Step-by-step explanation:

When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.

y= ___ is slope of 0

x= ___ is slope of undefined

Answer:

it's 10 all you had to do was count the boxes from a to b

Step-by-step explanation:

Answer:

and mean another questions

Answer:

add

Step-by-step explanation:

for example two and two makes

Answer:

The required probability = 0.9345

Step-by-step explanation:

Given that:

p = 0.17

n = 6

The required probability that two or less light bulbs are defective = (P<2)

(P<2) = P(X=0) +P(X=1) +P(X=2)

[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]

[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]

[tex]\mathbf{(P<2) = 0.9345}[/tex]

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)