Kayla has $500 in her account, and she spends $40 a week on food. If she falls below $30 in her account, she must pay a penalty. What is an inequality that can represent this situation?

Answers

Answer 1
She starts with $500; that's a given. If she's spending $40 a week, that means that she'll be subtracting $40 from her account for each week (let's call the number of weeks that've gone by "w"), leaving her with 500-40w dollars after week w.

Now we have to compare this somehow to $30. Our inequality is going to look like:

500-40w ? 30

Where the ? is a stand-in for an inequality sign. Which inequality sign should we pick? Take a look at the question and see if you can find any keywords that might give you a hint. "If she falls below" is the big one I'm seeing. If she can't fall below $30, that means she'll always have to stay at or above $30 to avoid paying the penalty. What inequality sign represents at or above?
Answer 2

Final answer:

The inequality that represents this situation is: 500 - 40w < 30, where w represents the number of weeks that have passed.

Explanation:

The situation can be represented by the inequality:

500 - 40w < 30

where w represents the number of weeks that have passed.

This inequality states that the amount of money remaining in Kayla's account (500 - 40w) must be less than $30 for her to have to pay a penalty. If Kayla's account falls below $30, she would have to pay a penalty because she does not have enough money to cover her regular expenses.

For example, if we substitute w = 10 into the inequality, we get 500 - (40 × 10) < 30, which simplifies to 100 < 30. Since 100 is not less than 30, Kayla would not have to pay a penalty.


Related Questions

How do you solve this using the elimination method of systems of equations?

Answers

x-2y=14      | *-1
x+3y=9

-x+2y=-14  } +
x+3y=9
---------------
   5y=-14+9
   5y=-5
   y=-5/5
     y=-1

x+ 3*(-1)=9
x-3=9
x=9+3
x=12
Since you want to eliminate in the variable, eliminate x because it can be easily crossed out. To get rid of x simply subtract the two equations. So x-x is canceled and 2y- -3y=5y and 14-9=5 so 5y=5 is 1. Now plug 1 into y and you get x=6.
The answer is (6,1) Hope this helps!!!!!!

Lia gets paid $45 an hour plus $150 each week. She hopes to earn at least $690 this week.

Answers

Assuming the question is:
 "How many hours does she have to work to reach her goal of $690"

That information can make the equation: 
money earned in a week = 45h + 150

We then sub in $690
690 45h + 150
Rearrange to find h
540 = 45h
12 = h

Lia has to work 12 hours to earn at least $690

Answer: Hi, if the question is "how many hours she needs to work this week in order to win at least $690"

then, per week Lia wins:

$150 + $45*x,

where x is the amount of hours that she worked in the week.

then the equation we need to solve is:

$150 + $45*x = $690

$45*x = $690 - $150 = $540

x = 540/45 = 12

then she needs to work at least 12 hours this week in order to win at least $690.

Simplify.     -(2/3)(-9y)(3/2)(8x)(1) A. 72xy   B. –72xy   C. 72   D. 0

Answers

Your answer would be 72xy
Hope this helps...........

Kirk has 12 dollars less than jim if Jim spends half of his money and Kirk spends none then Kirk will have two dollars more than jim how much money did they both start with

Answers

kirk started with 16 and Jim started with 28 

8 is 40 percent of what number

Answers

Answer:

20%

Step-by-step explanation: So 40 percent = 100 percent. If you divide 40 percent by 5 you get 8. 1/5 is equal to 20% and 8 is a fifth of 40. So the answer is 20%.

We have that the 8 is 40 percent of 20 and it  is mathematically given as

x=20

Arithmetic

Question Parameters:

8 is 40 percent of what number

Generally the equation for the statement  is mathematically given as

x*40%=8

Therefore

x*40%=8

x*0.4=8

x=20

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What is the solution to this equation? 3(d+2)−12=d−2 A)d = 2 B)d = 4 C)d = 8 D)d = 10

Answers

The answer s a)d=2.

Answer: d = 2

Step-by-step explanation:

3(d+2)−12=d−2

The sum of three integers is 74. The first integer is twice the second and the third is six more than the second. What are the three integers

Answers

let thw second integer be x
then the first = 2x
and the third integer is = 6+x
their sum = 74
x+2x+6+x = 74
4x +6 = 74
4x = 74-6 =68
x =68÷4
x = 17
then the first integer is 2×17 = 34
the third integer is 17+6 = 23

the integers are 17 , 23 and 34

0.64 divided by 4 in standard algorithm

Answers

Answer:

Quotient = 0.16, Remainder = 0    

Step-by-step explanation:

Standard algorithm of division is a step by step procedure to perform division.

In this question we have to divide 0.64 by 4, therefore, 0.64 is the dividend and 4 is the divisor.

Steps:

Zero times four is 0. Then we put decimal point in our quotient.

Continuing one times 4 is 4. We subtract 4 from 6 to have remaining value of 2. Then, we copy down 4. Thus, the remaining value now is 24.

Six times four is 24. Thus, the remaining value is zero.

Hence, we get the remainder of zero and quotient 0.16.

When 0.64 is divided by 4 using standard algorithm, we get 0.16.

What is Division?

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given is 0.64 divided by 4.

In order to divide 0.64 by 4, follow the given steps -

1 : 4 multiplied by 0 is equal to 0. Start writing the quotient as by writing 0 and decimal point after it.

2 : 4 multiplied by 1 is 4 and when 4 is subtracted from 6, we get 2. The quotient will now become 0.1 . Bring 4 down, next to 2.

3 : Now, 24 divided by 4 gives 6, this will leave remainder 0 and the final quotient will be 0.16

Therefore, 0.64 divided by 4 using standard algorithm, we get 0.16.

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Can anyone explain this to me?

Answers

Yes, because of the Angle Angle Similarity Property.  Angle U in the larger triangle measures 55 degrees.  Angle X of the smaller triangle is unknown, but in the polygon formed by the smaller triangle inside the larger, X is equal to 125. Since both values of X form a straight line, they must add up to 180.  So subtract 125 from 180 and you get 55.  This would prove that at least one angle is equal, and then if you look at the top angles of the triangle, they both have Angle U, so they must also be equal.  The third choice is correct.

Compare and contrast the different battles that took place at: Ticonderoga, Necessity, William Henry, Quebec, Montreal, and Duquesne.

Answers

They all were in the French and Indian war

The baker used 3 1/2 cups of pastry flour for every 1 1/2 cups of wheat flour. How many pastry flour is used per cup of west flour?

Answers

3 because there’s 3 1/2 cups for 1 1/2
Final answer:

The baker used 2 1/3 cups of pastry flour per cup of wheat flour.

Explanation:

To find out how many cups of pastry flour are used per cup of wheat flour, we can set up a proportion based on the given information:



3 1/2 cups pastry flour / 1 1/2 cups wheat flour = x cups pastry flour / 1 cup wheat flour



We can solve for x by cross-multiplying:



(3 1/2)(1) = (1 1/2)(x)



7/2 = 3/2x



Now we can solve for x by dividing both sides of the equation by 3/2:



(7/2) ÷ (3/2) = x



7 ÷ 3 = x



x = 2 1/3



Therefore, the baker used 2 1/3 cups of pastry flour per cup of wheat flour.

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the product of 2 consecutive natural numbers is greater than their sum by 109. find the numbers

Answers

Let the 2 consecutive numbers be n and n+1. Then:
n(n+1)-109=n+n+1
n²+n-109-2n-1=0
n²-n-110=0
(n-11)(n+10)=0
n=11
n+1=12
☺☺☺☺

the universal set is represented in a venn diagram by

Answers

What universal set? Can you please be more clear?
I believe the answer is a rectangle, but I'm not sure.

Walmart is advertising a sale where all Lego sets are 15% off. Mrs. Snyder decides to purchase a Lego set that originally cost $39. What will Mrs. Snyder pay for the Lego set on sale?

Answers

So this is super easy :) Simply turn 15% into a decimal 0.15
5.85 is how much money she doesn't have to pay. 
So she has to pay 33. 15
Well If you start with $39 you will need to turn your 15% into a decimal which is .15 Multiply that by your 39 and you get 5.85 that is your discount price so now subtract that from 39 to get 33.15

Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is shown in the tape diagram.

Answers

18 What i did was i divided 5 into 30 which equals 6 then i added 6+6+6=18 that should be your anwser

Answer: 18 cups.


Step-by-step explanation:

From the given picture we can see

The ration of sugar to cinnamon in the donuts topping =[tex]\frac{\text{no. of blue box }}{\text{no. of green box}}=\frac{3}{2}=3:2[/tex]

Thus, the number of sugar cups to make 1 donuts topping=[tex]\frac{3}{3+2}=\frac{3}{5}[/tex]

The number of sugar cups to make 30 cups of donuts toppings[tex]\frac{3}{5}\times30[/tex]

[tex]=3\times6\\=18\ cups[/tex]

The number of cups required to make 30 cups of donuts toppings=18 cups



Find the measure of the numbered angles

Answers

Well...
Some information was cut off but I'll assume that its a parallelogram.
If it's a parallelogram, then angles 1 and 3 are equal and angle 2 and the angle marked as 110 degrees are equal.
Next we know that angles 1 and 2 are supplementary(adds to 180) so angle 1 is 70 degrees.
Because angle 3 is equal to angle 1, angle 3 is also 70 degrees.
Hope this helps :)

How do you solve this math problem-2(x+3y)=18

Answers

Greetings!

Solve for x.
[tex]-2(x+3y)=18[/tex]
Distribute the Parenthesis. How? Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
[tex](-2)*x+(-2)*3y=18[/tex]
[tex]-2x-6y=18[/tex]
Add 6y to both sides.
[tex](-2x-6y)+6y=(18)+6y[/tex]
[tex]-2x=18+6y[/tex]
Divide both sides by -2.
[tex](-2x)/-2=(18+6y)/-2[/tex]
The Answer Is:
[tex]x=-9-3y[/tex]
[tex]x=-3y-9[/tex]

Hope this helps.
-Benjamin

The heights of four boys measured 152.0 cm, 150.75 cm, 149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than josh, but shorter than Mark. Josh is the shortest. What is Mark's height


Answers

So, Bradley is the tallest! He's 152.0 cm, then. Josh is the shortest, so he's 149.25 cm:
Bradley: 152.0 cm
???: 150.75 cm
???: 149.5 cm
Josh: 149.25 cm
Then, Calvin is taller than Josh, but he's shorter than Mark. There's only 2 spaces available left, so Calvin is 149.5 cm, and now there's only one slot left, and that means Mark is 150.75 cm.
So: 
Bradley: 152.0 cm
Mark: 150.75 cm
Calvin: 149.5 cm
Josh: 149.25 cm
Please rate brainliest!

18 out of the 25 students are going on the field trip. What percent of the students are going on the field trip?


can you provide the math to please

Answers

Hello.
To find the percentage of how many students went on the field trip, we simply divide 18 by 25. 
18/25 = 0.72

Convert decimal into fraction.
0.72 = 72%

Thus, 18 out of 25 students = 72% of students who are going on the field trip.

You're welcome.

Write 2687 in expanded form

Answers

2000+600+80+7 is the answer
the answer is
2000+600+80+7

Write two ratios that are equivalent to 5/7

Answers

Ratios equivalent to 5:7

10:14

20:28

30:42

hope this helps :D
25/40 and 10/14 are equivalents to 5/7.

Do you think it is okay to make friends over the internet or is it too dangerous to trust what people over the internet are saying. What should you do if you make a internet friend and they ask to meet. Should you agree or tell an adult. USE COMPLETE SENTENCES. 

Answers

I think it’s kind of ok only if they tell us sensible things. For example we might have some problems but we feel embarrassed to tell someone who we know so we want good advice from someone who doesn’t know me and can’t judge me based on anything other than my story and reasons. But if someone tells me we should you should refuse and if they start bothering you then you should tell an adult. Hope this helps!!!
Final answer:

Making friends on the Internet can be beneficial, especially for those who struggle with face-to-face interactions, but it is vital to remain cautious and maintain online safety by keeping personal information private and consulting adults about meetings.

Explanation:

Making friends over the Internet has become increasingly common and can be a positive experience; however, it comes with its risks. Understanding the nature of online relationships and knowing how to navigate them safely is crucial. When interacting online, remember that not everything shared may be private, and it's essential to be cautious about what personal information you disclose. If an Internet friend asks to meet in person, it is vital not to agree to it without consulting an adult. Adults can provide guidance, help assess the situation, and ensure that if a meeting is to occur, it takes place in a safe, public environment under the right supervision.

The Internet indeed offers opportunities to form meaningful connections, especially for those who may find face-to-face interactions challenging. Research has highlighted that virtual relationships could be as intimate as in-person ones. Yet, it is critical to stay vigilant about the risks associated with forming friendships online, such as privacy concerns, the potential for misinformation, or encountering online predators. Keeping personal information private, being careful about accepting friend requests from strangers, and paying attention to privacy settings are essential steps to maintaining online safety.

In summary, while making friends over the Internet can have its advantages, one must exercise caution and involve an adult when decisions about meeting such friends arise.

Divide.

8.64÷(−0.27)

Answers

8.64÷(−0.27)
The answer is -32.

What is 7700 divided by 623

Answers

the answer is 12.3595506
       _12____
623| 7700
        -623
        ---------
           1470
          -1246
         -------- 
            224

Which function represents the graph of y=10(4)x ?



f

g

h

j

Answers

g would be the correct answer

I WILL GIVE BRAINIEST TO CORRECT ANSWER! All questions please.

Answers

Question 1: 4/25 = 0.16
Question 2: 4 6/25 = 106/25 = 4 6/25 = 4.24
Question 3: 7.8 = 7 8/10 = 7 4/5

hope this helps

shari’s class is making team pennants for an upcoming field day.they cut the pennants out of a large sheet of paper in the pattern shown below. the area of the whole pattern is 1600 cm2. they need to know the length of the pennant base how long is the base of each pennant

Answers

Answer:

10cm Base

Step-by-step explanation:

Actually the answer is 10 cm for the base.

First step is take 1600cm2 and divide it by 4 (or how many pendents you have) so it'll look like this

1600/4 =400cm2

Then you need to find the area of the Triangles.

Area of the Triangle=1/2xbase xheight

400=1/2xbx80

400=40xb

10=b

Answer: 10cm Base

Step-by-step explanation:

A lab technician is diving a cell that has a diameter of 4.32 x 10^-4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell . Which is the diameter of the new cell ? A. 2.16 x 5^-2 B. 2.16 x 10-2 C.2.16 x 5-4 D.2.16x 10^-4

Answers

It is very simple you will just multiply it by half
4.32 × 10^-4 /2
=2.16 × 10^-4

The answer is D.
Final answer:

The diameter of the new cell, which is exactly half the diameter of the original cell (4.32 x 10^-4 millimeters), is 2.16 x 10^-4 millimeters.

Explanation:

The lab technician is dividing a cell with an original diameter of 4.32 x 10^-4 millimeters. The new cells' diameter is stated to be exactly one half of the original diameter. Therefore, to find the diameter of the new cell, simply take half of the original cell's diameter. This can be accomplished by dividing the numerical value of the diameter by 2, which would be 4.32/2 = 2.16. The exponent remains the same because the size (magnitude) of cell diameter is only halved, not the order magnitude. So the diameter of the new cell is 2.16 x 10^-4 millimeters.

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A football team receives the ball on their own ten yard line. They make a gain of fifteen yards in the first play. What yard line is the ball on? What represents zero in this situation? Explain

Answers

The ball is on the 25 yard

The summation of 10 yds and fifteen yds is 25 yds thus the ball is the on 25 yd line and the zero represents the ball is in the net and goals.

What is summation?

The summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

There could be only two terms, but there could be one hundred, a thousand, or a million.

As per the given question,

The initial position of the ball = 10 yd line

The team gained 15 yds in the first play.

Therefore, New position of the ball = 10 yds + 15yds = 25 yds

Hence "The summation of 10 yds and fifteen yds is 25 yds thus the ball is the on 25 yd line and the zero represents the ball is in the net and goals".

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Valerie and Bret have a total of 24 dog show ribbons.bret has twice as many ribbons as Valerie how many ribbons does each have

Answers

Bret has 16 ribbons and Valery has 8
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