Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
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The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?_
Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?
Answer:
3.6 pounds
Step-by-step explanation:
If 1 bottle weighs 3/5 pounds
the 6 bottles will weigh 6 x 3/5
= 18/5
ratio method :
1:3/5
6:x
since the ratios are direct we can cross multiply
18/5 = 1x
so the 6 bottles weigh 18/5 pounds or 3.6 pounds
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
What is the volume of this container
Sam is selling used books online. The first book the customer buys is $8.00, the second-third book are $7.00 each, the fourth and all other books, b, are $5.00. A buyer has $35 to spend, before tax and shipping. Write an inequality to show how many books this customer may buy before the applicable taxes and shipping charges.
Rita is painting the walls in the playrooms at the daycare center. She estimates that she will need 1/4 gallon of paint for each wall. How many walls can she paint with 5 gallons of paint?
Answer:
20 walls can be painted.
Step-by-step explanation:
Rita needs to use ¼ a gallon per wall. So, using 1 gallon would result in painting 4 walls.
5 gallons times 4 would be 20.
So, with five gallons, 20 walls can be painted.
Henry is standing on a building at an elevation of 10 feet above sea level.
His friend, Thomas, is scuba diving -12.5 feet below sea level.
Which friend is FARTHER from sea level?
Henry
Thomas
The essay needs to be 5,400 words long. Peter can type 20 words per minute. If Peter has 600 words typed so far, how many hours will it take for Peter to finish typing the essay?
Answer: 4 hours
Step-by-step explanation:
60 minutes in an hour so 60×20=1200 words per hour
5400 words total - 600 words written already = 4800 words left
4800 words left ÷ 1200 words per hour = 4 hours
Please help me I'm desperate
Answer:
>
Step-by-step explanation:
-3.8 > -4.5
Answer: Greater than
Step-by-step explanation: The first thing to remember when answering this question is that you're dealing with negative numbers, so the larger the number (in absolute value terms) the smaller the number actually is. In this case, -4.5 is smaller than -3.8.
Ratios! I need help, please! I'm really bad at Math
Answer:
first would be 8
second is 12
third is 16
last is 6
Step-by-step explanation:
Brad has 42 toy cars that he puts into 3 equal groups.
How many cars does Brad have in each group?
Find the surface area of the right rectangular prism shown below.
units^2
Step-by-step explanation:
Formula = A=2(wl+hl+hw)
L = 4W = 2H = 2.5=> A=2(wl+hl+hw)
=> A = 2((2)(4)+(2.5)(4) + (2.5)(2))
=> A = 2(8 + 10 + 5)
=> A = 2(23)
=> A = 46
\( \therefore \) Surface area = 46
Answer:
A=46
Step-by-step explanation:
plz help 20 points
Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. The first sample contained both males and females, aged 12-19. The second sample contained both males and females, aged 20-39. The results are shown in the table below. Using complete sentences, make one inference comparing the two groups and explain your reasoning.
Sample #1
16 11 9 12 11
10 10 8 15 0
2 15 14 7 11
5 14 20 3 11
14 7 0 5 21
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6
Answer:The data is pretty evenly distributed in the age 20-39 group.
There are no outliers in either age group.
The range of the two age groups is the same.
Both data sets contain about the same amount of variation.
Step-by-step explanation: Plz make brainiest.
Answer:
Sample #1 : 16 11 9 12 11 10 10 8 15 0 2 15 14 7 11 5 14 20 3 11 14 7 0 5 21 =
0 0 2 3 5 5 7 7 8 9 10 10 11 11 11 11 12 14 14 14 15 15 16 20 21
you just need to pout them in order least to grates
Sample #2 : 21 14 0 3 6 7 10 11 7 9 14 0 15 5 12 20 0 12 11 6 0 21 14 0 6 =
0 0 0 0 0 3 5 6 6 6 7 7 9 10 11 11 12 12 14 14 14 15 20 21 21
you just need to pout them in order least to grates
Step-by-step explanation:
This isn't really relating to sports homework or anything but rather math. Could the amount of yards lost in a football game be a fraction? Thank you.
Answer:
When writing a fraction there are two main parts: the numerator and the denominator. The numerator is how many parts you have. The denominator is how many parts the whole was divided into. Fractions are written with the numerator over the denominator and a line in between them.
So technically, Yes. How ever, I would need more information to give you an example.
Hope this helps!
All the love, Ya boi Fraser :)
PLEASE HELP AND GRAPH I WILL GIVE BRAINLIEST!!!!! IMAGES ADDED
Pls help me it is only one questionnnn:)
Answer:
LSNXLAMXNALXNKWQOMSLAKAIALAIA
Answer:
That is translating the shape bc you aren't rotating it
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
102 degrees.
Step-by-step explanation:
Because the 3.3's are congruent (the same), this triangle is isosceles.
A property of isosceles means that the two angles are congruent.
39+39= 78
This means that the last angle must be 180-78.
The point B is at the centre of the circle.
The points P and Q are on the circumference of the circle.
Calculate the area of the shaded sector.
take π to be 3.142 in your working.
Give your final answer to 1dp
Answer:
24.7
Step-by-step explanation:
Calculation of the area of the shaded sector is 24.7:
Since
Line PQ = 5.413590865cm
BQ = 9cm
Now
cos(x) = 0.8190928022
x = 35.00591739˚
Now finally the
Area of sector = 24.7cm^2
So point B is at the centre of the circle, making the area of the shaded sector to be 24.7 .
Marlo buys
6
66 feet of ribbon to make bracelets. She needs
18
1818 inches of ribbon to make
1
11 bracelet.
How many bracelets can Marlo make if she uses all the ribbon she buys?
Answer:
So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.
Answer:
So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.
Step-by-step explanation:
There is a total of 15 students in the park. Twelve of the students are riding their bikes. What is the ratio of students riding bikes to those who are not riding bikes? *
A. 4:1
B. 3:5
C. 4:5
D. 5:4
Which one is right?
PLS HELP ME
Answer:
The answer is A.
Step-by-step explanation:
If you take the people riding bikes (12) to people not riding bikes (3), this would be 12:3 so you can divide both of them by 3. That leaves you with 4:1.
Hope this helps too!
Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is 0.05 x = 1 What was the price of the shoes?
$5.00
$10.00
$20.00
$25.00
Answer: The answer is C. $20.00
Step-by-step explanation:
Answer:
the correct answer is C $20
Step-by-step explanation:
Pls Mark me brainiest ;)))
Hello, I was searching on and about for help on my math summative topics can someone please me with the topics? Here are the following topics; positive, negative, and no correlation, Line of best fit, and how to use it.
Answer:
Not sure what you are asking but on a number line negative is before positive
Step-by-step explanation:
Hello! If you provide specific problems you need help on in those topics, I'm sure someone can help you!
pls answer i need to get good grades or i wont play soccer anymore
Answer: 32, 32
Step-by-step explanation:
Omg you already said that
Can somebody please help with this asap!
What is the solution, you can round to the nearest tenth
Answer:
The top one is 1
Step-by-step explanation:
Answer:
12 points for me oops
Step-by-step explanation:
dont know the answer sorryyy!!
It costs $5 per hour to rent a snowboard from a certain ski rental company, plus a $50 deposit. Another ski rental company charges $10 per hour to rent a snowboard, plus a $25 deposit. For what number of hours is the cost to rent a snowboard the same at each company? What is the cost of renting a snowboard for this number of hours
The number of 5 hours is the cost to rent a snowboard the same for each company.
And the cost is $75.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
It costs $5 per hour to rent a snowboard from a certain ski rental company, plus a $50 deposit.
Let n be the number of hours.
So, 5n + 50.
Another ski rental company charges $10 per hour to rent a snowboard, plus a $25 deposit.
10n + 25
When the cost is equal,
5n + 50 = 10n + 25
5n = 25
n = 5
And the cost is $75.
Therefore, all the required values are given above.
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Need help as soon as possible for all of these questions
Answer:
It seems like everything is correct but I wouldn't be for sure.
But if you think everything is not right, then don't listen to me lol-
I hope I helped ^^
Answer:
I can tell u two
Step-by-step explanation:
1st one is b
3rd is b
4th is b
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A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
PLEASE HELP ASAP!!!!!
1. The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −2.5 can be a value in the shaded region?
a
Yes it can, because −2.5 lies to the left of −0.5.
b
Yes it can, because −2.5 lies to the right of −0.5.
c
No it cannot, because −2.5 lies to the left of −0.5.
d
No it cannot, because −2.5 lies to the right of −0.5.
2. If x = − 4, which number line shows the value of |x|? (5 points)
a
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and 4 is written on the line.
b
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to 0. A horizontal line is shown between the brackets, and negative 4 is written on the line.
c
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and 4 is written on the line.
d
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 4 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 4 tick marks to the left of zero to a point at 4 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 4 is written on the line.
Step-by-step explanation:
a
Yes it can, because −2.5 lies to the left of −0.5.
1. The airport security randomly selected 36 suitcases from the security line. Of these bags, they screened 8 suitcases. Based on this information, what is the most reasonable prediction for the number of suitcases they will screen in a group of 180?
Set up a proportion and solve. Your response will be a number. No label.
2. Suppose a coin is flipped 10,000 times. What is a reasonable prediction for the number of times the coin lands on tails?
Set up a proportion and solve. Your response will be a number. No label.
Answer:
Step-by-step explanation:
1)8/36 x 180= 40 bags
2) im guessing its 0.5 x 10,000=5000
Answer:
1) 40
2) 5000
Step-by-step explanation:
QUESTION 1
8:36 = x:180
180/36 = 5
8(5) = x
40 = x
therefore they will screen 40 bags in a group of 180
QUESTION 2
A coin has 2 sides, heads and tails.
So it has a 50% chance of getting heads or tails
50% of 10 000 is 5000
it could land on tails 5000 times and heads 5000 times
hope this helped