Answer: 21 cupcakes and 33 cookies were sold.
Step-by-step explanation:
Let x= Number of cupcakes
y = Number of cookies
As per given,
x+y= 54 (i)
Cost: 2.25x+0.25y=55.50 (ii)
Multiply 0.25 to (i0, we get
0.25x+0.25y = 0.25(54)
⇒0.25x+0.25y = 13.5 (iii)
subtract (iii) from (ii), we get
2x=42
Divide both sides by 2, we get x= 21
Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33
Hence, 21 cupcakes and 33 cookies were sold.
I will give you branilest!
What does the constant of proportionality represent?
Answer:
The constant of proportionality is the ratio between two directly proportional quantities
Step-by-step explanation:
Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
a group a friends share 3 1/2 slices of cake. each friend get half a slice of cake. how many friends shared the slices of cake.
Answer:
7
Step-by-step explanation:
3×2
6+1
7
You multiple it by 2 since it is 1/2 and not a whole piece
Answer:
7
Step-by-step explanation:
3 1/2 divided by 2 is 7
It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answer:
a
[tex]\mu = 127[/tex]
b
[tex]\sigma = 9.76[/tex]
c
[tex]z-score = 3.18 [/tex]
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 508 * 0.25[/tex]
=> [tex]\mu = 127[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ np (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 508 * 0.25 (1-0.25)}[/tex]
=> [tex]\sigma = 9.76[/tex]
Generally the z-score of 158 is mathematically represented as
[tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = 3.18 [/tex]
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
Can some one send me the Answers to this book plzz
Answer:
all of the answers should be in the back
Step-by-step explanation:
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. Which weight represents the 65th percentile?
A.82.2 ounces
B.82.5 ounces
C.83.5 ounces
D.83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
Please help me i dont understand
Answer:
5
4
6
.........................
What is the distance, d, between the points (3,5/2) and (5/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
The distance between the two points is of:
[tex]D = \frac{\sqrt{145}}{6}[/tex]
------------------------------
Distance between two points:
Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
------------------------------
The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]
[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]
[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]
[tex]D = \sqrt{\frac{145}{36}}[/tex]
[tex]D = \frac{\sqrt{145}}{6}[/tex]
A similar problem is given at https://brainly.com/question/14849255
Answer:
The answer is \/145/6 (The answer above)
Step-by-step explanation:
I took the Test.
Solve for x.
16x^2- 9=0
Step-by-step explanation:
Hey there!
Given;
[tex]16 {x}^{2} - 9 = 0[/tex]
[tex]16 {x}^{2} = 9[/tex]
[tex] {x}^{2} = ± \frac{9}{16} [/tex]
[tex]x = ± \sqrt{ \frac{9}{16} } [/tex]
[tex]x =± \sqrt{ \frac{ {3}^{2} }{ {4}^{2} } } [/tex]
[tex]x = ± \frac{3}{4} [/tex]
Therefore, X= ±3/4.
Hope it helps..
What is the product of
5
7
and
14
10
A
1
4
O B.
2
4
oC.
2
C D 3
Answer:
1
Step-by-step explanation:
5/7 *14/10 = 14/7 * 5/10 = 2 * 1/2 =1
Hope I understood the question correctly.
Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement
Answer:
So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).
Step-by-step explanation:
All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.
It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.
9514 1404 393
Answer:
make use of the ways similarity can be shown
Step-by-step explanation:
Similarity of triangles can be shown two (2) ways:
corresponding angles are congruentcorresponding sides are proportional__
In a worksheet like this, you may see several kinds of problems. The keys will be ...
the parts that you claim are proportional or congruent must be correspondingthe sum of angles in a triangle is 180°.__
When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.
Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.
__
Further discussion on working these problems
If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.
Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.
For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.
__
For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.
Help pls
According to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?
Answer:
7.8125 grams
Step-by-step explanation:
As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.
Therefore, each box of cookies contains (16 × 4) = 64 cookies.
If a box of cookies weighs kg i.e. 500 gram, then the weight of each cookies will be grams. (Answer)
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answer:
turbulance
Step-by-step explanation:
Angles of triangles I need help with homework
Answer:
150 degrees
Step-by-step explanation:
A triangle adds to 180 degrees.
48 + 102= 150
180-150 = 30
Then the angle x in total adds to 180
180-30= 150 degrees
The total cost of a cab ride can be represented by the function f(x) = 3x + 2.5, where x is the number of miles driven
Estimate how much the cab will cost if the cab ride is 8 miles and 25 miles.
Answer:
8 miles: $26.50
25miles: $77.50
Step-by-step explanation:
Substitute (x) for the number of miles
8 miles: f(x)=3(8)+2.50
=24+2.50
=26.50
25miles: f(x)=3(25)+2.50
=75+2.50
=77.50
answers please.......
Answer:
$69.375
Step-by-step explanation:
To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.
[tex]64 + 5.375 = 69.375[/tex]
The total cost of the rug, including shipping and handling is $69.375
Answer:
$69.38
Step-by-step explanation:
64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38
Paige mows 1/4 acre in 1/2 hour. How many acres does Paige mow per hour? Paige mows acre per hour.
Answer:
Paige mows 1/2 acre per hour
Step-by-step explanation:
1/4=.25
1/2=.5
.25*2=.50
.50*2= 1
I have no doors but I have keys, I have no rooms but I do have a space, you can enter but you can never leave. What am I?
Is it a computer keyboard?
Vijay is celebrating his birthday at Pizza Ranch. The all-you-can-eat meal costs $12 per adult
and $5 per child. He wants to stay under a budget of $180 for the party.
Select the inequality in standard form that describes this situation. Use the given numbers and the
following variables
• X = the number of adults attending
· y = the number of children attending
12x + 5y < 180
B
12x + 5y < 180
52 + 12y < 180
5x + 12y < 180
Answer:
12x+5y < 180
Step-by-step explanation:
12 (adults) + 5 (kids) < needs to be less than 180 dollars
Can't figure this out extremely need help). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Make sure you show all your work please and thank you.
Step-by-step explanation:
Im sorry but I found it more easy writing it on a paper!
an open tank has tge shape of circular cone. the tank is 8feet across the top and 6 feet high. watwr is pumped through the buttom of the tank. how much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? water weighs 62.4 pounds per cubic foot
Answer:
[tex]W=22652.98ft-lb[/tex]
Step-by-step explanation:
We are given that
Height of tank=6feet
Diameter of tank=8 feet
Radius of cone,r=d/2=8/2=4 feet
Let a layer of thickness dy at distance yr from the bottom at origin
y=6 feet
Using similar triangle property
[tex]\frac{r}{y}=\frac{4}{6}=\frac{2}{3}[/tex]
[tex]r=\frac{2}{3}y[/tex]
Weight of water=62.4 pounds per cubic foot
Now,
Weight of layer=[tex]62.4\times \pi r^2 h=62.4(\frac{4}{9}\pi y^2 dy[/tex]
Now, work done to fill the tank from a depth of 4 feet to a depth of 6 feet is given by
[tex]W=\int_{a}^{b}62.4\times \frac{4}{9}\pi y^2(y) dy=\int_{4}^{6}62.4\times \frac{4}{9}\pi y^3 dy[/tex]
[tex]W=\frac{62.4\times 4\pi}{9}[\frac{y^4}{4}]^{6}_{4}[/tex]
[tex]W=\frac{249.6\pi}{36}(6^4-4^4)[/tex]
[tex]W=22652.98ft-lb[/tex]
WHAT IS 6 MULTIPLIED 6 + 2 +1
Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
who has answer for key stone recovery packet ela 11th grade and geometry.
Answer:
Me I sent them to you already. emily
English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
find the value of x in the below complementary angle 3x(5x+2)
Answer:
The value of x is 11
Step-by-step explanation:
Two angles are complementary if the sum of their measures is 90°
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
Can someone answer these questions please
Three consecutive integers have a sum of 48. Find the integers.
Answer:
15, 16, and 17.
Step-by-step explanation:
They are consecutive and they add up to 48.
I don’t understand this question.
Answer:
-7.89 is the answer
mark me the brainlets
Step-by-step explanation:
Richard is W years old express algebraically is age 10 years ago
Answer:
W-10
Step-by-step explanation:
if Richard is W years old then subtract 10 from W
Answer:
W-10
Step-by-step explanation:
Subtract his 10 from his current age
Brent count to 10 red cards 10 Blackhearts and 20 blue cards in a deck of cards what is the radio of red cards to other cardsj
Answer:
1/4
Step-by-step explanation:
10+10+20=40
10 of those are red cards which makes it 10/40 which is simplified to 1/4.
Answer:
10:30 (simplified- 1:3)
Step-by-step explanation:
there are 10 red cards so the first number would be 10
the other cards are black hearts and blue cards, if you add them together that is 30 cards, therefore, the answer is 10:30
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
Question 16
which statement BEST describes the relationship between Georgia and Great Britain during the colonial period?
A Farm machinery was shipped from Georgin, manufactured goods were shipped from Britain, and neither side controlled what was produced
Manufactured goods were shipped from Georgia, raw materials were shipped from Britain, and Georgia controlled which raw materials were produced
Food crops were shipped from Georgia, manufactured goods were shipped from Britain, and Georgia controlled which manufactured goods were produced
D
Raw materials were shipped from Georgia, manufactured goods were shipped from Britain, and Britain controlted which raw materials wore produced
Answer: D . Raw materials were shipped from Georgia, manufactured goods were shipped from Britain, and Britain controlled which raw materials wore produced
Step-by-step explanation:
In the colonial era of the United States, the British who were in charge then engaged in an Economic policy called Mercantilism. This was a system where they limited imports into Britain but encouraged exports from Britain so that they would maintain a favorable balance of trade.
A key part of this system was having colonies that goods could be exported to and that raw materials could be acquired from at a cheap rate.
Southern colonies like Georgia fulfilled this mandate more than the rest as they would ship raw materials to Britain and buy manufactured goods from them with Britain controlling which raw materials Georgians produced.
Answer:
True the answer is D #16
Step-by-step explanation:
good luck