Answers
For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.
For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30
For part C,
30x ≥ 2,000
x ≥ 66.67
For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.
Related Questions
what is the product of any integer and -1
Answers
Remember:
Multiply and divide
Then look at the signs
Different signs are negative
Same signs are just fine (positive)
For example: -5 x 5 = -25 -5 x -5 = 25
Different signs Same signs (positive & positive)
So in your specific case, the product of any integer and -1 depends. If the integer is positive, than the final product would be the integer in it's negative form. If the integer is negative, than the final product would be the integer in it's positive form.
I hope this makes sense to you!
8;7 ratio is boys out of 195 campers
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How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.
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You are given 4x-2y=12 and -4x-9=54. You are asked to find the order of the ladder. However, you did not specify which variable represents the ladder. I will just solve for both of the variables. I will be applying the substitution method.
Let 4x-2y=12 equals equation one and equation 2 for -4x-9=54.
4x-2y=12
4x=12+2y
x=3+1/2y
substitute this x to the equation 2
-4x-9y=54
-4(3+1/2y )-9y=54
Y=-6
X=3+1/2y = 3+1/2(-6) = 3+(-3) = 0
PLEASE HELP ME!!!
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
A.137.6 in.^3
B.141.9 in.^3
C.145.6 in.^3
Answers
The volume of a sphere is.
V = 4/3 * π * r(raised to the 3rd power)V1 represents when r = 5V2 represents when r = 4.5V1 = 4/3 * π * 4.5 * 4.5 * 4.5 = 381.51
V2 = 4/3 * π * 5 * 5 * 5 = 523.33V2 - V2 = 141.82The closest answer is B. I calculated this where π = 3.14, I'm assuming that the computer had a difference like calculating 3.14159 etc or rounded differently in the process, which contributes to the difference in answers. Hope this helps.
Answer:
C
Step-by-step explanation:
141.9in3
How long is a distance of 8 km if measured on a map with a scale of 1:50,000
Answers
1/50,000 = x/8 x is the length of the distance on the map
After that, you cross multiply and you will get 50,000x=8
You then solve for x to get 0.00016
Final answer:
To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.
Explanation:
To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:
The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.
Which number sentences show how to solve the problem?
A pair of socks costs $5.00. A package of 3 pairs costs $12.00. How much would you save if you buy 2 packages instead of 6 individual pairs?
Choose all answers that are correct.
A.
6 × 5 = 30, 2 ×12 = 24, and 30 – 24 = 6
B.
12 – 5 = 7, 7 x 2 = 14, and 14 – 6 = 8
C.
12 ÷ 3 = 4, 5 – 4 = 1, and 1 × 6 = 6
D.
12 ÷ 3 = 4, 4 × 5 = 20, and 20 – 12 = 8
Answers
Answer:
a is the answer
Step-by-step explanation:
first you divded 12.00
during a baseball game, a player's ball hit into the outfield is modeled by the equation h=-16t^2 + 65t. A bird flying across the field follows the path modeled by the equation h=8t+20. let t be the time since the ball is hit and h be the height. what do the intersection points of the equations represent?
Answers
8t+20=-16t^2+65t
16t^2-57t+20=0, using the quadratic equation for expediency:
t=(57±√4529)/32 and since we know t>0
t≈3.88 seconds (at a approximate height of 51 feet)
Answer:
Intersection points are
(0.39,0) and (3.16,0)
Step-by-step explanation:
The equation of the outfield is [tex]h=-16t^2 + 65t[/tex]
The path equation is [tex]h=8t+20[/tex]
To find intersection of two equations , we make them equal and solve for t
[tex]-16t^2+65t= 8t+20[/tex]
Subtract 8t from both sides
[tex]-16t^2+57t=20[/tex]
Subtract 20 on both sides
[tex]-16t^2+57t-20=0[/tex]
Divide whole equation by -1
[tex]16t^2-57t+20=0[/tex]
Apply quadratic formula to solve for t
[tex]t=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
a= 16, b=-57 and c=20
[tex]t=\frac{57+-\sqrt{(-57)^2-4(16)(20)}}{2(16)}[/tex]
[tex]t=\frac{57+-\sqrt{1969}}{32}[/tex]
[tex]t=\frac{57+\sqrt{1969}}{32}=3.16[/tex]
[tex]t=\frac{57-\sqrt{1969}}{32}=0.39[/tex]
what polynomial could you add to 3x^4 - 9x^3 + 5x^2 - x + 7 to get a sum of 3+4x^4 + 3x-x^3 + 3x^2
Answers
PLEASE HELP {It costs 5,700 every one sixth of an hour to build a hotel how many cents does building a hotel cost per second?}
Answers
That means it costs 5,700 every 10 minutes.
Costs 5,700 = 10 minutes
Dive 10 on both sides.
Costs 570 = 1 minute
Lets convert the minute into seconds.
Costs 570 = 60 seconds
Divide both sides by 60.
Costs 9.5 cents = 1 second
Round it off since you can't pay 9.5 cents.
Costs 10 cents = 1 second
This means that every second they pay 10 cents for the hotel. :D
What is the slope of this line segment?
Answers
Bradley bought 14 yellow highlighters. each highlighter cost $0.94.how much did Bradley spend?
Answers
0.94x14=13.16
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
Answers
So if you make a proportion with 96/100 and 48/x (x being a stand-in for the answer) you can cross multiply 48 and 100 and divide the end result by 96, which equals 50.
So that means that the answer is 50 grams of protein. Hope this helped!
46.08 grams of protine daily
Choose the correct simplification of (3xy6)2(y3)3
A.9x2y21
B.6x2y21
C.9x2y14
D.6x2y14
Answers
Answer: A. [tex]9x^2y^{21}[/tex]
Step-by-step explanation:
The given expression : [tex](3xy^6)^2(y^3)^3[/tex]
Using laws of exponents :
[tex]a^m*a^n=a^{m+n}\\\\(a^m)^n=a^{mn}[/tex]
To simplify the given expression :
[tex](3xy^6)^2(y^3)^3\\\\=(3)^2(x)^2(y^6)^2(y^{3\times3})\\\\=9x^2y^{12}\times y^9\\\\=9x^2y^{12+9}\\\\=9x^2y^{21}[/tex]
Therefore, [tex](3xy^6)^2(y^3)^3=9x^2y^{21}[/tex]
Avery owns stocks in Ever Rise Corporation. The stock price increased by 120% over the past week. If the stock price was p last week, write two equivalent expressions that represent the current stock price and explain what their equivalence means. Substitute one or more variables into the expressions to prove them equivalent.
Answers
Answer:
Expression 1. P+1.2p
Expression 2. 2.2p
Step-by-step explanation:
These 2 equivalent expressions state that increasing a value by 120% is the same as multiplying the original value by 2.2.
Example: assume that p=50. The first expression gives p+1.2p=50+1.2(50) =110. The second expression gives 2.2p=2.2(50)=110
The two expressions 1.2p and p + 0.2p are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.
What is the expression?
Expressions are defined as mathematical statements that have a minimum of two terms containing that variables or numbers.
If the stock price increased by 120% over the past week, then the current stock price is 120% of the stock price last week. This can be represented by the equation:
current price = 1.2p
Another way to represent the same relationship is to say that the current price is the stock price last week plus 120% of the stock price last week. This can be represented by the equation:
current price = p + 0.2p
To prove that these two expressions are equivalent, we can substitute a value for p into both equations and show that they give the same result. For example, if the stock price last week was $100, then:
current price = 1.2100 = $120
current price = 100 + 0.2100 = $120
Therefore, the two expressions are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
Barrie had stamps he gave 1/8 of them to tom if he gave 15 stamps to tom how many stamps did Barrie have at first
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120X(1/8)=15
which whole number is closest to √149
Answers
because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why
Answers
But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.
Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.
It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars.
Which of the following is equivalent to the complex number
[tex]i ^{34}[/tex]
:
Answers
The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14. Round to the nearest tenth of a cubic inch.
Answers
So, it looks like we got the volume of a sphere. We know that the formula for it when we got the diameter is, [tex]V=\frac{\pi d^3}{6}[/tex]
We are going to use 3.14 for [tex] \pi [/tex]
[tex]V=\frac{3.14* d^3}{6}[/tex]
Let's plug in the values,
[tex]V=\frac{3.14*10^3}{6}[/tex]
Simplify,
[tex]V=\frac{500*3.14 }{3}[/tex]
Our volume of the beach ball is,
V ≈ 523.333333333
Round to the nearest tenth.
V ≈ 523.3 in³
Thanks!
-TetraFish
Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle.
What was the smallest angle made in her trip?
It is at the gas station.
It is at Lucy’s home.
It is at the post office.
It depends on the direction Lucy is traveling.
Answers
Lucy starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. As it is known south and east directions form right angle. Since the entire trip forms a triangle, this triangle is right with right angle at post office.
Call the vertices of this triangle P - post office, G - gas station, H - home. Then HP and PG are legs of this triangle and GH is hypotenuse.
From the given data:
HP=3;PG=4;GH=5;∠P=90°.The smallest angle is opposite to the smallest side. The smallest side is leg HP, so the smallest angle is G that is the angle at gas station.
Answer: correct choice is A.
In this exercise we have to mark the correct alternative corresponding to the location, so we have:
Letter A
The following information was then given by the statement:
Lucy starts from home and travels 3 miles south to the post officeFrom the post office, she travels 4 miles east to the gas station.Imagining the paths made by lucy as a triangle, we know that the longest path that corresponds to the hypotenuse will be from the gas station to her house, so:
HP=3;PG=4;GH=5;P=90°.We have:
[tex]180-90=90\\90/2=45\\45-15=30[/tex]
The smallest angle is at the gas station.
See more about triangles at brainly.com/question/25813512
Show that |3+10| =|3|+|10|
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convert 2.998m/s to km/h and to miles per hour
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1 meter per second = 3.6 km per hour
2.998 x 3.6 = 10.7928 km per hour
1 KM per hour = 0.621371 mph
10.7928 x 0.621371 = 6.706
6.706 miles per hour
round answer as needed
Write the decimal 5.16 as a percent
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I hope this helps:)) !!
What is the place value of 1 in 209.631?
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What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3
Answers
Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
Factor this trinomial with a leading coefficient of 1. The trinomial being 2x^2y-34xy+144y
Answers
2y(x^2-17x+72)
Then factor the inner trinomial
2y(x-8)(x-9)
There's nothing else to factor so that's the final answer
a string was 4m long. she gave 1/4m of it to her sister and 3/4m to her friends. how much string had she given away?
Answers
____________________________
Explanation:
____________________________
Add up the amounts she had given away:
3/4 m + 1/4 m = 4/4 m = 1 m.
____________________________
The answer is: " 1 m " .
____________________________
Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate?
Answers
They only need to decorate 20% of the cupcakes left.
Answer:
Now they have left to decorate 20% cupcakes.
Step-by-step explanation:
Darren and Latisha are decorating cupcakes for a bake sale.
They need to decorate 100 cupcakes.
Each of them has decorated 40% of the cupcakes = 40% + 40% = 80%
Both of them has decorated 80% of the cupcakes.
80% of 100 cupcakes = 80 cupcakes
Now they have left to decorate 100 - 80 = 20
Now they have left to decorate 20% cupcakes.
how do u write the product of 10 and the difference of a number X and 14 is 90
Answers
[tex]10(x-14)=90[/tex]
A square patio has an area of 200 square feet how long is each side of the patio to the nearest 10th
Answers
200= x^2
Root both sides
x= root 200
x= approx. 14.1
Final answer: 14.1 ft