A bakery can make 33 cheesecakes for every 3 blocks of cream cheese. Which table
represents the relationship between the number of cheesecakes the bakery makes and
the number of blocks of cream cheese the bakery uses?
Answers
Answer:
it would be A.
Step-by-step explanation:
Why? well, if you divide 33/the total number of cream cheese blocks (3) you get 11. so for every 11 cheesecakes made, one cream cheese block is used. :)
Related Questions
Need help asap I will reward the first person who answers with a lot of points
Answers
Answer:
C 60 = x + 45
Step-by-step explanation:
They are vertically opposite angles so they are equal.
There are three parts to this question. A) The number of people initially infected is? (round to the nearest whole number as needed)
Answers
a.
To find the initial number of people infected, let's calculate the value of f(t) for t = 0:
[tex]f(0)=\frac{102000}{1+5200e^0}=\frac{102000}{1+5200}=\frac{102000}{5201}=19.61[/tex]Rounding to the nearest whole number, the initial value is 20 people.
b.
Using t = 4, let's calculate the value of f(t):
[tex]f(4)=\frac{102000}{1+5200e^{-4}}=\frac{102000}{1+5200\cdot0.0183156}=\frac{102000}{96.24112}=1.059.84[/tex]Therefore the number of infected people is 1060.
c.
When t tends to infinity, the value of 5200e^-t will tend to zero, therefore we have:
[tex]\lim_{t\to\infty}f(t)=\frac{102000}{1+0}=102000[/tex]Therefore the limiting size is 102000 people.
Need help on this geometry assignment please
Answers
Step-by-step explanation:
I am stumped with the graph question attached. Please assist.
Answers
Answer:
[tex]\begin{gathered} 0.44x^{2}-2.67x+3 \\ or \\ \frac{1}{2.25}(x-3)^2-1 \end{gathered}[/tex]Explanation:
From the graph, we will observe that the vertex is at the point:
[tex]\begin{gathered} (h,k)=(3,-1) \\ \text{We will obtain the quadratic equation from the vertex form using the formula:} \\ f(x)=a(x-h)^2+k \\ \text{Inputting the values of ''h'' \& ''k'', we have:} \\ f(x)=a(x-3)^2-1 \\ \text{We have the x-intercept at point:} \\ (x,y)=(1.5,0) \\ f(1.5)=0 \\ \Rightarrow0=a(1.5-3)^2-1 \\ 0=a(-1.5)^2-1 \\ 0=a(2.25)-1 \\ 0=2.25a-1 \\ \text{Add ''1'' to both sides, we have:} \\ 1=2.25a \\ 2.25a=1 \\ \text{Divide both sides by ''2.25'', we have:} \\ a=\frac{1}{2.25}=0.44 \\ \text{We will substitute the value of ''a'' into the vertex equation, we have:} \\ f(x)=\frac{1}{2.25}(x-3)^2-1 \\ \text{Expand the bracket, we have:} \\ f(x)=\frac{1}{2.25}(x-3)(x-3)-1 \\ f(x)=\frac{1}{2.25}[x(x-3)-3(x-3)]-1 \\ f(x)=\frac{1}{2.25}[x^2-3x-3x+9]-1 \\ f(x)=\frac{1}{2.25}[x^2-6x+9]-1 \end{gathered}[/tex]We will obtain the quadratic function as shown below:
[tex]\begin{gathered} \frac{1}{2.25}[x^2-6x+9]-1 \\ \text{Expand the bracket, we have:} \\ 0.44x^2-2.67x+4-1 \\ 0.44x^2-2.67x+3 \\ or \\ \frac{1}{2.25}(x-3)^{2}-1 \\ \end{gathered}[/tex]A bank features a savings account that has an annual percentage rate of r = 5.2% with interest compoundedsemi-annually. Dylan deposits $7,000 into the account.nakThe account balance can be modeled by the exponential formula A = P(1+ where A is the futurevalue, P is the present value, r is the annual percentage rate, k is the number of times each year that theinterest is compounded, and n is the time in years.(A) What values should be used for p, r, and k?PAT =k=(B) How much money will Dylan have in the account in 8 years?Answer = $Round answer to the nearest penny.(C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effectiveannual percentage rate which includes all compounding in the year).APY =Round answer to 3 decimal places.
Answers
(A) Given that:
Present value, P = $7000
Annual percentage rate, r = 5.2% = 0.052
Number of compounding periods, k = 2
(B) Plug the values into the formula
[tex]A=P(1+\frac{r}{k})^{nk}[/tex]gives
[tex]A=7000(1+\frac{0.052}{2})^{2n}[/tex]Substitute 8 for n to find the amount of money after 8 years.
[tex]\begin{gathered} A=7000(1+\frac{0.052}{2})^{2\cdot8} \\ =7000(1.026)^{16} \\ =10554.94 \end{gathered}[/tex]In 8 years, Dylan will have $10554.94 in account.
(C) Find the annual percentage yield using the formula
[tex]\text{APY}=(1+\frac{r}{k})^k-1[/tex]Plug the values into the formula.
[tex]\begin{gathered} \text{APY}=(1+\frac{0.052}{2})^2-1 \\ =5.268\% \end{gathered}[/tex]The annual percentage yield for the savings account is 5.268%.
A student worked 52 hr during a week one summer. The student earned $5.70 per hour for the first 40 hr and $8.55 per hour for overtime. How much did the student earn during the week? Enter your answer in the answer box
Answers
Total earnings during the week = $330.6
Explanations:The total number of hours worked during the week = 52 hr
Earnings per hour for the first 40 hours = $5.70
Earnings for the first 40 hours = $5.70 x 40
Earnings for the first 40 hours = $228
The number of hours worked as overtime = 52 - 40 = 12 hours
Earnings per hour for overtime = $8.55
Earnings for overtime = $8.55 x 12
Earnings for overtime = $102.6
Total earnings during the week= Earnings for the first 40 hours + Earnings for overtime
Total earnings during the week = $228 + $102.6
Total earnings durig the week = $330.6
Jeanine Baker makes floral arrangements. She has 13 different cut flowers and plans to use 4 of them. How many different selections of the 4 flowers are possible?
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715 different selections of the 4 flowers are possible.
What is combination?Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.
The scaling factor can be calculated if both the original dimensions and the new dimensions are known. There are two terms that must be grasped in order to use the scale factor. Scaling refers to the process of increasing or decreasing a figure's size. Scaling up refers to the process of increasing a figure's size.
Given:
n= 13,r= 4
Using Combination
[tex]^{13}c_4[/tex]
=13! / 4! (13 - 4)!
=13! / 4! 9!
= 13 x 12 x 11 x 10 x 9!/ 4! 9!
= 13 x 12 x 11 x 10 / 4 x 3 x 2
=13 x 11 x 5
= 715
Hence, 715 different selections of the 4 flowers are possible.
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Round 287.9412 to the nearest tenth. Do not write extra zeros.
Answers
To round the number 287.9412 to the nearest tenth.
First, we identify the tenth digit.
• The tenth digit is 9.
,• The digit after 9 is 4
Since the digit after 9 is less than 5, we simply cut off the numbers after 9.
Therefore:
287.9412 = 287.9 (correct to the nearest tenth).
Answer:
287.9
Step-by-step explanation:
A solid figure is composed of rectangular prism and a right triangular prism. The figure and some of its dimensions are sown in this diagram.
Whats the volume of the figure? (5 ft, 5ft, 2 ft, 4 ft, and 7ft.)
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Answer:
volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.
Step-by-step explanation:
Which of the following is the simplified form of the expression 15z-9-3z-z+8?
Answers
Answer:
11z - 1
Step-by-step explanation:
What are two possible numbers that are 5 units from the number -6 on a number line?
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Answer:
The 2 possible numbers are -11 and -1.
Step-by-step explanation:
What is 2/5 divided by 8/5
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Answer: 1/4 or 0.25
Step-by-step explanation: multiply by the reciprocal, 2/5 ÷ 5/8 then change the symbol to multiplication 2/5 x 5/8 multiply and the answer is 1/4
Convert the given rectangularcoordinates into polarcoordinates.(-5, -2) = (5.4, [?])Round your answer to the nearest tenth.Report theta in radians
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Use the next relationships to convert rectangular coordinates to polar coordinates:
[tex]\begin{gathered} (x,y)=(r,\theta) \\ \\ r^2=x^2+y^2 \\ \\ tan\theta=\frac{y}{x} \end{gathered}[/tex]For the given rectangular coordinates:
[tex]\begin{gathered} (-5,-2) \\ x=-5 \\ y=-2 \\ \\ tan\theta=\frac{-2}{-5}=\frac{2}{5} \\ \\ \theta=\tan^{-1}(\frac{2}{5}) \\ \\ \theta=0.4 \end{gathered}[/tex]Then, the polar coordinates are (5.4, 0.4)Find the first four terms of the sequence given by the following.An= 42- 7(n-1), n=1, 2, 3...
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In order to calculate the first four terms of this sequence, let's use the values of n = 1, 2, 3 and 4 in the expression for An:
[tex]\begin{gathered} n=1\colon \\ A_1=42-7(1-1)=42 \\ \\ n=2\colon \\ A_2=42-7(2-1)=35 \\ \\ n=3\colon \\ A_3=42-7(3-1)=28 \\ \\ n=4\colon \\ A_4=42-7(4-1)=21 \end{gathered}[/tex]Therefore the first four terms are 42, 35, 28 and 21.
Rubio is grilling ground beef patties for his party. The nutritional label from the ground is shown. Based on the information in the label, about how many milligrams of cholesterol are recommended per day?
Answers
Answer:
259.26 mg of cholesterol per day.
Explanation:
From the label, we can say that 70 mg of cholesterol is equivalent to 27% of the daily value. So, we need to found the amount equivalent to 100%. So, we can use the following equation:
[tex]100\text{ \% }\times\frac{70\text{ mg}}{27\text{ \%}}=259.26\text{ mg}[/tex]Therefore, the answer is 259.26 mg of cholesterol per day.
Exact value of addition and subtraction formulas / sin cos tan
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Take into account that:
[tex]\frac{5\pi}{4}+\frac{\pi}{3}=\frac{15\pi+4\pi}{12}=\frac{19}{12}\pi[/tex]Then, for the given sine value, you can write:
[tex]\sin (\frac{19}{12}\pi)=\sin (\frac{5}{4}\pi+\frac{1}{3}\pi)[/tex]Now, consider that the sine of a sum is:
[tex]\sin (a+b)=\sin a\cdot\cos b+\cos a\cdot\sin b[/tex]Then, by applying the previous identity to the given expression, you obtain:
[tex]\sin (\frac{5}{4}\pi+\frac{1}{3}\pi)=\sin (\frac{5}{4}\pi)\cos (\frac{1}{3}\pi)+\cos (\frac{5}{4}\pi)\sin (\frac{1}{3}\pi)[/tex]Consider now that:
[tex]\begin{gathered} \sin (\frac{5}{4}\pi)=-\frac{\sqrt[]{2}}{2} \\ \cos (\frac{1}{3}\pi)=\frac{1}{2} \\ \sin (\frac{1}{3}\pi)=\frac{\sqrt[]{3}}{2} \\ \cos (\frac{5}{4}\pi)=-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Then, for the given expression of the question, you get:
[tex]\begin{gathered} \sin (\frac{5}{4}\pi+\frac{1}{3}\pi)=(-\frac{\sqrt[]{2}}{2})(\frac{1}{2})+(-\frac{\sqrt[]{2}}{2})(\frac{\sqrt[]{3}}{2}) \\ =-\frac{\sqrt[]{2}}{4}-\frac{\sqrt[]{2}\sqrt[]{3}}{4}=-\frac{(1+\sqrt[]{3})\sqrt[]{2}}{4} \end{gathered}[/tex]The pervious result is the answer to the given expression.
F (x) = 6x
Find x if f(x) = -24
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Hey there!
[tex]f(x)=-6x\\whenf(x)=-24[/tex]
In order to find f(x), we need to substitute -24 for x:
[tex]f(x)=6(-24)\\x=-144[/tex]
Hope this helps!
Solve log x = 4.Ox= 4Ox= 40Ox= 1,000Ox= 10,000Need help!!!
Answers
Let's recall that when do not see a base written, it means the base is 10.
Let's also recall that the log form and the exponential form are interchangeable.
[tex]\log _{a\text{ }}b\text{ = c }\Rightarrow\text{ }a^{c\text{ }}=\text{ b}[/tex]Therefore, we have:
[tex]\log _{10\text{ }}x\text{ = 4 }\Rightarrow10^4\text{ = x}[/tex][tex]The\text{ correct answer is x = }10^{4\text{ }}=\text{ 10,000}[/tex]The correct answer is D.
there is a .9987 probability that a randomly selected 27-year old male lives through a year. a life insurance company charges $154 for insuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit
Answers
Using probability we know that the expected value of the insurance company is $141.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, the expected value of the insurance company:
Probability = 0.9987So, 1.0000 - 0.9987 = 0.0013Now, get the expected value as follows:
E(x) = 0.9987 × 154 + 0.0013(-9987)E(x) = 153.7998 + (-12.9831)E(x) = 153.7998 - 12.9831E(x) = 140.8167Rounding off: $141
Therefore, using probability we know that the expected value of the insurance company is $141.
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The complete question is given below:
There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.
What is the expected value for the insurance company?
the cost to rent a ski boat is $174.83 . Six friends each pay $34. How much change would a group of friends receive?
Answers
If $34 are paid six times, the group will pay in total:
$34 x 6 = $204
Since, the cost to rent a ski boat is $174.83, in order to find the change the group will receive we just need to substract it:
$204 - $174.83 = $29.17
3. Students performed in a play on a Friday and a Saturday. For both performances,adult tickets cost a dollars each and student tickets cost s dollars each.On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. OnSaturday, they sold 140 adult tickets and 50 student tickets, and collect $1,230.125a + 65 = 1,200140a + 50s = 1,230This situation is represented by this system of equations:a. What could the equation 265a + 115s = 2,430 mean in this situation?b. The solution to the original system is the pair a = 7 and s = 5. Explain why itmakes sense that this pair of values is also the solution to the equation265a + 115s = 2,430.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
students play:
125a + 65s = 1,200 ===> Friday
140a + 50s = 1,230 ===> Saturday
Step 02:
system of equations:
a.
a = adult tickets
s = students tickets
265a + 115s = 2,430
On this day, they sold 265 adults tickets and 115 students tickets, and collect $2,430.
b.
original solution:
a = 7
s = 5
265(7) + 115(5)= 2,430
1855 + 575 = 2430
2430 = 2430
It is verified that the original solution is also valid for this equation.
That is the full solution.
Josh opens a savings account with a $300 deposit. He won't add or withdrawal any money. The
account earns 2% simple interest. What is the total amount that Josh will have on his savings at
the end of 5 years?
O $6
O $306
O $30
O $330
Answers
The most appropriate choice for simple interest will be given by-'
Amount of money Josh have at the end of 5 years = $330
Fourth option is correct
What is simple interest?
Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,
If P is the principal, rate is r %, time is t years,
SI = [tex]\frac{p \times r \times t}{100}[/tex]
Adding Principal and simple interest will give the amount
Here,
Principal deposited by Josh= $300
Rate of interest = 2%
Time = 5 years
Simple interest = [tex]\frac{300 \times 2 \times 5}{100}\\[/tex]
= $30
Amount of money Josh have at the end of 5 years = $(300 + 30)
= $330
Fourth option is correct
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The quotient of a number x and five
(translating english phrases to mathematical expressions)
Answers
The expression forming by the statement "quotient of a number x and 5" is x/5.
What do we mean by quotient?In this example, the number divided by (15) is known as the dividend, and the number divided by (3 in this instance) is known as the divisor. The quotient is the outcome of the division. The quotient is the result of dividing two numbers by each other. As in the case of 8 ÷ 4 = 2, where the division produced the number 2, the result is the quotient. The dividend is 8 and the divisor is 4. An algebraic expression is referred to as a quotient expression or an algebraic fraction if division comes last in the evaluation process. An algebraic fraction or quotient expression is the expression 7x2+5x.So, the quotient of a number (x) and 5:
Where x is the number.then, the expression will be: x/5Therefore, the expression formed by the statement "quotient of a number x and 5" is x/5.
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The correct question is given below:
The quotient of a number (x) and five
Does the point(1, 1)satisfy the in equality 11x + 8y ≥ 20?
Answers
Answer:
Step-by-step explanation:
Round 6,252 to the nearest hundred
Answers
To the nearest hundred, 6300 is round 6,252.
What formula is used to round numbers to the nearest hundred?100 closest to the whole number
Look at the tens digit to know how close a number is to 100. Round up when the tens digit is 5 or above. You should round down if the tens digit is 4 or fewer. 3281 has 8 as the tens digit.
Which method of teaching rounding is the simplest?The best technique to get children to round to the closest 10 is to model rounding using two-digit numbers. Ask your youngster to imagine a rounded number, then ask what comes before and after that amount, and only fill in those two numbers.
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Find all of the zeros of this function and use them to sketch a rough graph.
Answers
The zeroes of the function f(x) = x⁵ - 8x³ - 9x are x = 0, 3, - 3, i, and - i.
Consider the function,
f(x) = x⁵ - 8x³ - 9x
x⁵ - 8x³ - 9x = x( x⁴ - 8x² - 9 )
Factoring: x⁴ - 8x² - 9
The coefficient of x⁴ is 1, the coefficient of -8x² is - 8, and - 9 is the constant term.
x⁴ - 8x² - 9 = x⁴ - 9x² + x² - 9 = x²( x² - 9 ) + 1( x² - 9 )
x⁴ - 8x² - 9 = ( x² - 9 ) ( x² + 1 )
So,
x⁵ - 8x³ - 9x= 0
x( x⁴ - 8x² - 9 ) = 0
x( x² - 9 ) ( x² + 1 ) = 0
x( x - 3 )( x + 3 ) ( x² + 1 ) = 0
Therefore, the zeroes of the function are:
x = 0, x = 3, x = - 3, and
x² + 1 = 0
x² = - 1
x = ± √( - 1 ) = ± i
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Malik just returned from a spring break volunteer trip. He is shopping for a photo album that will showcase his photos from the trip. The albums range in photo capacity and orientation. Horizontally Vertically 50 photos 2 3 100 photos 2 7 150 photos 6 8 What is the probability that a randomly selected photo album holds exactly 50 photos or 150 photos? Simplify any fractions.
Answers
Answer:
Explanation:
The total number of photo albums showcased:
[tex]\begin{gathered} =2+3+2+7+6+8 \\ =28 \end{gathered}[/tex]The number that holds exactly 50 photos = 2+3 = 5
[tex]P(\text{album holds 50 photos)=}\frac{5}{28}[/tex]The number that holds exactly 150 photos = 6+8 =14
[tex]P(\text{album holds 50 photos)=}\frac{5}{28}[/tex]T
After a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A’(0,0), B’(0,10), C’(15,0) what is the scale factor
Answers
Solution:
The triangle is dilated from
[tex]\begin{gathered} (1)A(0,0)\rightarrow A^1(0,0) \\ \text{There is no change in coordinate here, } \\ \text{This shows the center of dilation is at point (0,0)} \\ \\ (2)\text{ } \\ \text{From B(0,4) }\rightarrow B^1(0,10) \\ Scale\text{ factor is }\frac{10}{4}\text{ = 2.5} \\ Or\text{ } \\ (3)\text{ from C(6,0) to (15,0)} \\ Scale\text{ factor is }\frac{15}{6}\text{ = 2.5} \end{gathered}[/tex]The scale factor of the dilation is 2.5
Dude my sister posted this one
Answers
Answer:
do i need to do the right or wrong answer
im pretty sure that there is 12
Step-by-step explanation:
Sorry the picture is a little tight I can't find the value of A and I keep getting the wrong answer which is really frustrating. I think I just need a little assistance.
Answers
The slope of the line can be calculated using the points (2,2) and (6,10):
[tex]\begin{gathered} m=\frac{10-2}{6-2} \\ =\frac{8}{4} \\ =2 \end{gathered}[/tex]Since the point (a,8) should belong to the same line, the slope should be the same using the points (a,8) and any other point. Since the slope is 2, use the points (a,8) and (2,2):
[tex]\begin{gathered} 2=\frac{8-2}{a-2} \\ =\frac{6}{a-2} \end{gathered}[/tex]We got this expression for a:
[tex]2=\frac{6}{a-2}[/tex]Take the reciprocal of both sides of the equation:
[tex]\frac{1}{2}=\frac{a-2}{6}[/tex]Multiply both sides by 6:
[tex]\begin{gathered} \frac{6}{2}=a-2 \\ \Rightarrow a-2=3 \end{gathered}[/tex]Add 2 to both sides of the equation:
[tex]a=5[/tex]Therefore, a=5.
