At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the inequality solved by H=Jamie expressed as:

500 − 30x ≥ 200

We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:

500 − 30x ≥ 200

Subtract 500 from both sides

500 − 30x - 500≥ 200 - 500

− 30x ≥ -300

Divide both sides by -30

− 30x/-30 ≥ -300/-30

x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)

Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect

Hence the number of weeks is less than or equal to 10.

Answer 2

Answer:

Answer is B

Step-by-step explanation:

Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps


Related Questions

In finding the solution of the equation 5-3x=2x+9, 3x is added to both sides of the equation first. Which of the following should be done next?
A. add -9
B. add -5
C. add =2x

Answers

Answer:

A add -9

Step-by-step explanation:

After this you should add -9 to bring it over to the left side.

Use the following stem-and-leaf plot to answer the question.


What is the median?

Answers

The median of the stem-and-leaf plot is 23

NEED HELP ASAP!
Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”

Answers

Answer:

Option (A)

Step-by-step explanation:

Statement 'p':

"Memorial Day is in July"

Statement 'q':

"Parallel lines intersect"

Since both the statement are joined by the 'OR',

Statements p and q will be joined by disjunction represented by the sign (∧).

Therefore, two statements will be represented as,

p ∧ q

Option (A) will be the correct option.

can anyone help me please ​

Answers

Answer:

i think it is x= -4/3

Step-by-step explanation:

maybe

Answer:

x=10

Step-by-step explanation:

2x/3+1=7x/15+3

find a common denominator for the fractions=15

2x/3 =_/15 multiple by 5 to get denominator 15 so multiple by 5 on top as well 2x*5=10x

10x/15+1=7x/15+3

-7x/15      -7x/15

3x/15+1=3

-1            -1

3x/15=2

×15/3   ×15/3

x=30/3

Reduce

x=10

Cell theory has three parts: The cell is the basic unit of life in all living things, all cells come from existing cells, and ______________.
A.
nonliving things are composed of cells
B.
the cell was discovered by Robert Hooke
C.
all organisms are made of one or more cells
D.
all cells are microscopic in size
---
this is not math lol it's science
---
don't answer if ur not sure pls

Answers

Answer:

C.

Step-by-step explanation:

All living things are made of one or more cells.

Can I get brainliest pls?

n-3. Evaluate the algebraic expression when n=5
A. 2
B. 8
C. 5
D. 5/3

Answers

Answer:

D

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

if n=5 then the expression is 5-3 which is equal to 2.

4) Find the LCM of 20 and 9​

Answers

180 is the least common multiple.

Answer:

least common multiple is 180

need help asap ! thanks

Answers

3.33 is the right answer
6 is the correct answer you have to combine like terms and take 16 out of the equation which leaves you with -6n=36 so if you change n to 6 it is 36

75 Points! Don't waste my time for points or you will be reported. Looking for math experts.

On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the ___–axis. Input either a lowercase x or y.

Answers

answer: y-axis

explanation: if you reflect across the y-axis, then the x-value changes and the y-value stays the same

Answer:

y

Step-by-step explanation:

I WILL AWARD BRAINLIEST!! PLEASE HELP!!


Given: AC = AB, CD = DE

m∠ABC = 70°, m∠ ECB = 35°


Prove: DE ║BC



m∠ACB = m∠______, By reason ( Base angles theorem, Exterior Angle theorem, Supplementary angles, Vertical Angles theorem ) - choose one

Answers

Answer:

a)[tex]\angle ACB = \angle ABC[/tex] By Base angle theorem

b)DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

Step-by-step explanation:

Given: AC = AB, CD = DE

∠ABC = 70°, m∠ ECB = 35°

Refer the attached figure

AB = AC

So, By Base angle theorem : if the sides of a triangle are congruent then the angles opposite these sides are congruent.

So, [tex]\angle ACB = \angle ABC[/tex]

So,[tex]\angle ACB = \angle ABC =70^{\circ[/tex]      ----1

CD = DE

So, by Base theorem

[tex]\angle DCE = \angle DEC[/tex]

Let [tex]\angle DCE[/tex]  be x

So,[tex]\angle DCE = \angle DEC[/tex]

[tex]\angle ACB= \angle DCE+\angle ECB = x+35[/tex]

Using 1

70 = x+35

35=x

[tex]\angle DCE = \angle DEC =35^{\circ}[/tex]

Now[tex]\angle DEC=\angle ECB=35^{\circ}[/tex]

So, DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles

What is the value of 3,520 × 10³

Answers

3520000
Pls mark me brainliest

Answer:

Actually, it's 324670

Step-by-step explanation:

What do YOU think about LOVE?

Answers

Answer: it amazing

Step-by-step explanation:

answer: it. sucks. BADDDDDDD

What’s the answer?????

Answers

the answer is c=8.75t

Solve for m
y= 4mx – 5

Answers

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[tex]y = 4mx - 5[/tex]

Add sides 5

[tex]y + 5 = 4mx - 5 + 5[/tex]

[tex]y + 5 = 4mx[/tex]

[tex]y + 5 = m \times (4x)[/tex]

Divide sides 4x

[tex] \frac{y + 5}{4x} = \frac{m \times 4x}{4x} \\ [/tex]

[tex] \frac{y + 5}{4x} = m \\ [/tex]

[tex]m = \frac{y + 5}{4x} \\ [/tex]

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Isolate the variable by dividing each side by factors that don't contain the variable.

M=y/4x + 5/ 4x

f(x) = square root x-3
g(x) = x^2 +3

Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))?

A) The functions are not inverses of each other.

B) The functions are inverses. f(g(x)) = 1

C) The functions are inverses. f(g(x)) = x^2

D) The functions are inverses. f(g(x)) = x

Answers

I think the answer is c

help will give crown only REAL ANSWERS COMMENT IF YOU HAVE A QUESTION

Answers

Answer:

A

Step-by-step explanation:

In that example the plane is going up constantly whereas in example B the plane in going down, in example C the plane it going up but the stops and goes at the same speed, and in D the plane it once again going down.

In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?

Answers

Answer: aₙ = -12 + 4*n

Step-by-step explanation:

We know that:

a₃ = 0

a₄ = 4

a₅ = 8

a₆ = 12

a₇ = 16

This seems to be an arithmetic sequence.

To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.

a₄ - a₃ = 4 - 0 = 4

a₅ - a₄ = 8 - 4 = 4

a₆ - a₅ = 12 - 8 = 4

etc

we can conclude that this is an arithmetic sequence.

The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:

aₙ = aₙ₋₁ + 4.

Another way is:

aₙ = a₀ + n*4.

Where to find a₀, we can start with the value that we know and go back:

a₂ = a₃ - 4 = -4

a₁ = a₂ - 4 = -8

a₀ = a₁ - 4 = -12

Then the n-th term can be written as:

aₙ = -12 + 4*n

Many states run lotteries to raise money. A website advertises that it knows​ "how to increase YOUR chances of Winning the​ Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a​ "lucky" number to​ play, but maybe some numbers are luckier than others.​ Let's use a simulation to see how well this system works. To make the situation​ manageable, simulate a simple lottery in which a single digit from 00 to 99 is selected as the winning number. Any value can be​ picked, but for this​ exercise, pick 1 as the lucky number. What proportion of the time do you​ win

Answers

Complete question is;

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be​ picked, but for this​ exercise, pick 1 as the lucky number. What proportion of the time do you​ win?

Answer:

10%

Step-by-step explanation:

We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.

This means the total number of single digits that could possibly be a winning one is 10.

Since we are told that only 1 can be picked, thus;

Probability of winning is; 1/10 = 0.1 or 10%

22 Evaluate the expression for x = 2
3x2 + 6
23 Evaluate the expression for x = 5
x -(-5)

It’s the 22 and 23 at the bottoms

ASAP WILL GIVE 20 POINTS

Answers

Answer:

22. 18

23. 10

Step-by-step explanation:

22

you plug the number for the variable into the equation (3(2)²+6order of operations say exponents first so you do 2²=4 so you have 3(4)+6then you multiple 3•4=12 so 12+6finally you add 12+6=18

23

plug in the number for the variable so 5–(-5)so a negative and a minus will make it addition (negative + negative = positive)do it is 5+5 which equals 10

As an accountant, you have calculated income taxes for a customer for the last 3 years. During those three years, the customer made a tax payment of $1,250, received a tax refund of $550, and made a tax payment of $925. The customer also paid a processing fee of $60 each year.

Answers

Answer:

The total amount customer paid during those 3 years  is $1685

Step-by-step explanation:

We are supposed to find the total amount customer paid during those 3 years

Customer made a tax payment = $1250

He received a refund of amount = 550

So, amount paid by him = 1250-550

Amount paid by him ==700

Now again He made a tax payment = $925

Processing fee = $60

So, Total Amount paid by him =700+925+60

Total Amount paid by him =1685

Hence the total amount customer paid during those 3 years  is $1685

Solve the equation algebraically |x|=12

Answers

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

What is the rate of change of the table shown?
A)5
B)2
C)-5
D)-2

Answers

The answer would be B) 2

Which property is used in the following equation (3•4)•5-3•(4•5)

Answers

Answer:

8

Step-by-step explanation:

What is the x-intercept of the graph?
A) -4
B) -3/2
C) 2/3
D) 6

Answers

Option D, 6 is the correct answer

Answer:

c

Step-by-step explanation:

if the slope of BC is 1/2 what is the slope of AC

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete.

However, I'll answer base on the following assumptions.

1. AC and BC are parallel.

2. AC and BC are perpendicular

For (1)

Parallel lines have equal slopes.

So, AC = BC = ½

For (2)

Slope of perpendicular line is:

m1 * m2 = -1

Take m1 as slope of BC

So, we have

½ * m2 = -1

Solve for m2

m2 = -1/½

m2 = -1 * 2

m2 = -2

Hence, the slope of AC is -2

In Mr. Britt's class the distribution of ages of his students has a mean of 115 months and a standard
deviation of 3.6 months.

If no students leave or join the class, what will be the mean and standard deviation of the distribution of
student's ages 4 months later?

Answers

Using statistical concepts, it is found that the mean will be of 119 months, while the standard deviation will be of 3.6 months, given by option C.

-------------------------------------

The mean of a data-set is the sum of all values divided by the number of values.The standard deviation is the square root of the sum of the difference squared of each observation and the mean, divided by the number of values.If x is added to all values of a data-set, it is also added to the mean, while the standard deviation remains constant.

-------------------------------------

Mean of 115 months and standard deviation of 3.6 months.4 months later is the same as adding 4 to each observation.Thus, the mean will be of 115 + 4 = 119 months, while the standard deviation remains constant at 3.6 months.

A similar problem is given at https://brainly.com/question/20640860

Answer:

Mean: 119119119 months

Standard deviation: 3.63.63, point, 6 months

Step-by-step explanation:

38 + 7k=8(k + 4)

Please help. <3

Answers

K=6
Pls mark me brainliest

Answer:

Distribute the 8 to k+4 then isolate k to one side and the normal numbers to the other, then simplify. I don't believe in giving you the answer, so I tell you how to go through it.

Step-by-step explanation:

To which subset numbers does the following number belong?

Answers

rational number which is answer b

Factor the expression completely.

7x - x2

Answers

Answer:

x(7 - x)

Step-by-step explanation:

Given

7x - x² ← factor out x from both terms

= x(7 - x) ← in factored form

cual es mayor 13/4 o 1 3/4

Answers

1 3/4 = 1.75

13/4 = 3 1/4

3 1/4 = 3.25

1.75 < 3.25

1 3/4 < 13/4

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