Answer:
4
Step-by-step explanation:
12x>48 so divide 48 by 12 to solve for x so x is 4
100 points / please help
A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?
a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional
Answer:
Recipe A
Step-by-step explanation:
Hope this helped!!!
Answer:
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Recipe A:Cups of flour used = 3
Rolls made = 12
Cups of flour per roll
\( = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25\)
Recipe B:Cups of flour used = 5
Rolls made = 24
Cups of flour per roll
\( \frac{5}{24} \\ = 0.20\)
Recipe C:Cups of flour used = 11
Rolls made = 48
Cups of flour per roll
\( \frac{11}{48} \\ = 0.22\)
Now compare Recipe A, B & C.\(0.25 > 0.22 > 0.20\)
Recipe A > Recipe C > Recipe B.
✏ So, Recipe A used the most cups of flour per roll (option a).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
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(Plz hurry) Given that cosθ=817 and sinθ=−1517 . What is the value of tanθ? 815 −815 158 −158
Answer:
D. -15/8Step-by-step explanation:
Given the following;
cosθ=8/17 and sinθ=−15/17
In trigonometry identity, tanθ = sinθ/cosθ
Substituting the given values in the equation;
tan θ = (−15/17)/(8/17)
tanθ = −15 /17 * 17/8
tanθ = -15/8
Answer:
D. -15/8
Step-by-step Explanation
Please help me!
A
B
C
D
what would her gpa have been if all the courses were weighted the same? round your answer to two decimal places.
Christine's grades for last semester were A, B, C, and C. An A is worth 4 points, a B is worth 3 points, a C is worth 2 points, and a D is worth 1 point. Her total grade points were 40 and her total credit hours were 14, resulting in a GPA of 2.86 if all courses were weighted the same.
Based on the information provided, the appropriate values in the Grade Value column for each grade are:
A: 4
B: 3
C: 2
D: 1
To calculate Christine's GPA if all courses were weighted the same, we need to first calculate her total grade points and divide by the total credit hours. The grade points for each course are calculated by multiplying the grade value by the credit hours. The table can be completed as follows
To calculate the GPA, we divide the total grade points (40) by the total credit hours (14):
GPA = 40/14 = 2.86
Therefore, if all courses were weighted the same, Christine's GPA would be 2.86.
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--The given question is incomplete, the complete question is given
" Name The goal of the first few questions will be to compute a grade point average, which is a good example of weighted grading Courses with more credit hours contribute more to the GPA than those with less Below are the grades that our friend Christine earned last semester. You'll he filling in the rest of the table as you work through Questions 14 Grade Grade Value Grade Points Course English Math Credit Hours 3.0 4.0 History Science 5.0 Totals: 1. In most GPA systems, an A is worth 4 points, a B is worth 3 points, a C2 points, and a D l point. Fill in the appropriate values in the Grade Value column. 4. What would her GPA have been if all courses were weighted the same? How did you decide"--
a cat scan produces equally spaced cross-sectional views of a human organ that provides information about the organ otherwise obtained only by surgery. suppose that a cat scan of a human liver shows cross-sections spaced 1.5 cm apart. the liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 18, 58, 77, 94, 106, 118, 129, 63, 38, and 0. use the midpoint rule with n
The volume V of the liver is 1104 cm³
What is volume?
Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
Here, we have
The given values span a distance of 10*1.5 cm = 15 cm.
Dividing this into 5 intervals of equal width, we find that each interval is (15 cm)/5 = 3 cm wide.
The midpoints will be odd multiples of 1.5 cm, corresponding to given values.
The volume can be estimated as
Volume = (3 cm)(18 cm^2) + (3 cm)(77 cm^2) + (3 cm)(107 cm^2) + (3 cm)(128 cm^2) + (3 cm)(38 cm^2)
= (3 cm)((18 + 77 + 107 + 128 + 38) cm^2)
= (3×368) cm³
= 1104 cm^3
Hence, the volume V of the liver is 1104 cm³
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Pea aphids, Acyrthosiphon pisum, are small, wingless, sapsucking insects that live on plants. They evade predators (such as ladybugs) by dropping off. A study examined the mechanism of aphid drops. Researchers placed aphids on a leaf positioned at four different heights (in centimeters, cm) above a surface covered with petroleum jelly. When a ladybug was introduced, the aphids dropped, and the petroleum jelly helped capture their landing posture (upright or not). Each aphid performed this experiment only once. The findings are given in the table. Dropping Hcight Landing Posture3 cm 5 cm10 cm20cm Upright Not upright Sample size 20 23 10 30 30 27 29 30 30 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! The null hypothesis "no relationship" says that in the population of aphids, the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm. The two-way table contains expected cell counts if this hypothesis is true Landing Posture 3 cm5 cm10 cm 20 cm Total 24.75 24.75 24.75 24.75 99 Not upright 5.255.255.255.255.25 30 30 30 30 30 Upright Total (a) Use the tables to calculate the value of the chi-square statistic. (Enter your answer rounded to three decimal places.) 223.359 Question Source Baldi4e- The Practice Of Statistics In The Life Sciences Publisher: W.H. Freeman
The value of chi-square statistic (\(X^{2}\)) is 11.26
As per the given question
the sample space of all the four cases are 30
the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.
the formula of chi-squared test is
\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)
where
\(X^{2}\) is chi-square
\(O_i\) is the observed value
\(E_i\) is the expected value
the upright observed value are 20,23,27,29
the upright expected values are 24.75
now
the chi-square at 3cm height is
\(X^2=\(\frac{(20-24.75)^2}{24.75}\)
=> \(X^2=0.91\)
the chi- square at 5cm height is
\(X^2=\(\frac{(23-24.75)^2}{24.75}\)
=> \(X^2=0.12\)
the value of chi-square at 10cm is
\(X^2=\(\frac{(27-24.75)^2}{24.75}\)
=>\(X^2=0.20\)
the value of chi-square at 20cm is
\(X^2=\(\frac{(29-24.75)^2}{24.75}\)
=> \(X^2=1.97\)
the not upright observed values are
10,7,3,1
the not upright expected values are 5.25
the chi-square test at 3cm height is
\(X^2=\(\frac{(10-5.25)^2}{5.25}\)
=> \(X^2=4.30\)
the chi-square test at 5cm height is
\(X^2=\(\frac{(7-5.25)^2}{5.25}\)
=> \(X^2=0.58\)
the chi-square test at 10cm height is
\(X^2=\(\frac{(3-5.25)^2}{5.25}\)
=> \(X^2=0.96\)
the chi-square test at 20 cm is
\(X^2=\(\frac{(1-5.25)^2}{5.25}\)
=> \(X^2=3.44\)
now,
the total
chi-square value at 3cm height is
=>X^2=0.91+4.30
=> \(X^{2}\)= 5.21
chi-square at 5cm height is
=> \(X^{2}=0.12+0.58\)
=> \(X^2=0.71\)
chi-square at 10cm is
=> \(X^{2}=0.20+096\)
=> \(X^2=1.16\)
chi-square at 20 cm is
=> \(X^{2}=0.73+3.44\)
=> \(X^{2}=4.17\)
now ,
the total chi-square statistic is
=>\(X^{2}=\)5.21+0.71+1.17+4.17
=>\(X^{2}=\) 11.26
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The third day Jim plans to snow board. The boards rent for $8.95 an hour, and the boots
rent for another $2.00 an hour. Lessons are $33.80 an hour. And he needs a lesson! He
decides to snow bound for 5 hours and, in that time, get a l-hour lesson. He also must
pay $25 for a litt ticket. How much will his third day on the slopes cost? Pls help ASAP
Answer: $113.55
Step-by-step explanation:
add up the cost of the lesson, boots, board, and ticket
the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.
here is the equation to solve
33.80 + 5(8.95 + 2.00) + 25 =
33.80 + 5(10.95) + 25 =
33.80 + 54.75 + 25 =
33.80 + 79.75 = 113.55
the total cost is $113.55
What kind of a triangle will be formed if the sides measure 12 cm and 20 cm?
A scalene form of a triangle, based on the measurements provided.
In an obtuse triangle with different-length sides, the longest side goes as follows: longest side^2>otherside + otherside
20^2 > 8^2+12^2
400>64 + 144
400 > 208.
An unusually formed triangle called a scalene triangle has sides that are also irregularly sized. Angle sum property states that the angles of a scalene triangle must always sum to 180 degrees.
For each of its three sides and each of its three angles, a scalene triangle has a variable length, making it a unique triangle. But all interior angles add up to 180 degrees in total.
The name "scalene" is connected to the Greek term "skalenos," which described a triangle with odd sides.
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Complete question : What kind of a triangle will be formed if the sides measure 12 cm, 8 cm
and 20 cm?
A container began leaking water at 5:00 A.M. The table shows the linear relationship between the number of gallons remaining in a container and the number of hours since 5:00 A.M. Which function can be used to find y, the number of gallons remaining after x hours since 5:00 A.M.?
Answer: I need help on this one 2
Step-by-step explanation:
Answer:G
Step-by-step explanation:
suppose you have the following data: x 1 2 3 4 5 6 y 24 29 28 42 33 41 and the lsrl is ŷ =. find the residual value for x = 1.
The residual value for x = 1 is 0. To find the residual value for x = 1, we need to plug in x = 1 into the equation for the least squares regression line (lsrl) that we have been given. The equation for the lsrl is ŷ = 5.5x + 18.5.
So, when x = 1, we have:
ŷ = 5.5(1) + 18.5
ŷ = 24
This means that the predicted value of y for x = 1 is 24.
To find the residual value, we need to subtract the predicted value of y from the actual value of y for x = 1.
The actual value of y for x = 1 is 24 (according to the data given).
So, the residual value for x = 1 is:
residual = actual value of y - predicted value of y
residual = 24 - 24
residual = 0
Therefore, the residual value for x = 1 is 0.
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Choose what the expressions below best represent within the context of the word problem.
The tens digit of a number is twice the ones digit. The sum of the digits in the number is
12. What is the number?
x represents ____ digit
2x represents ____ digit
The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?
A. 10cm
B. 11cm
C. 9cm
D. 7cm
Answer:
10cm ( A )
Step-by-step explanation:
This would use the Pythagorean Theorem. That means it would be -
a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:
6^2+8^2=c^2
then 36+64=c
and then 100=c
after that, you would take the square root of c to get
10!
Answer:
10cm
Step-by-step explanation:
\(Hypotenuse^{2}\) = \(base^{2} + altitude^{2}\)
The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-
\(Hypotenuse^{2}\) = \(8^{2} + 6^{2}\)
\(Hypotenuse^{2}\) = 64 + 36
\(Hypotenuse^{2}\) = 100
Hypotenuse = \(\sqrt{100}\)
Hypotenuse equals 10cm!
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
The 4 th term of an arithmetic sequence is 6 , the common difference is 2.9. Find the 18 th term. Suppose an account pays 12% simple annual interest, and $8,600 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 5 years. Round answer to two digits after the decimal point. Suppose an account pays 14% simple annual interest, and $6.284 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 30 months. Round answer to two digits after the decimal point. Suppose I need to borrow \$1,709 from my neighbor The Saver. The Saver charges 182% simple annual interest rate and I have to pay the principal plus interest off in 16 equal monthly payments. How much will be the monthly payment amount? Round answer to two digits after the decimal point.
The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.
1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:
nth term = first term + (n - 1) * common difference
Here, the 4th term is given as 6 and the common difference is 2.9. Plugging in these values, we can calculate the 18th term as follows:
18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2
2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:
A = P * \((1 + r/n)^{(n*t) }\)
Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:
P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5
A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39
3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:
P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5
A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17
4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:
Monthly payment = Total amount / Number of payments
Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:
Monthly payment = 1709 / 16 = $202.06
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Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
I am going to assume that the equation was supposed to be \(9y^{5}\)\(-10y^{3}\)
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so \(9y^{5}\)\(-10y^{3}\) will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
The cost of labor for servicing cars at B&B Automotive is $50 for each whole hour or for any fraction of an hour. There is a $25 additional charge to get the oil changed & fluid checked. What would be the cost of servicing a car that required 3.45 hours of labor if the owner requested that the oil be changed and the fluids be checked? a. $100 c. $225 b. $175 d. $250
Answer:
d. $250Step-by-step explanation:
We can use the equation of a straight line to model the cost of servicing the car.
let the cost be y and the number of hours be x
and the charge per hour is m
y=mx+c
y=50x+25
given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50
y=50(4)+25
y=200+25
y=$225
PLEASEEE HELP ME WITH THESE TWO QQUESTIONS PLEASEEE I NEED HELP I WILL TRY AND GIVE BRAINLIEST IF THE ANSWERS ARE CORRECT!!! PLEASE HELP
The area of the composite figures are
First figure = 120 square ft
second figure = 22 square in
How to find the area of the composite figuresThe area is calculated by dividing the figure into simpler shapes.
First figure
The simple shapes used here include
rectangle and
triangle
The area of the composite figure = Area of rectangle + Area of triangle
The area of the composite figure = (12 * 7) + (0.5 * 12 * 6)
The area of the composite figure = 84 + 36
The area of the composite figure = 120 square ft
Second figure
The simple shapes used here include
parallelogram and
rectangular void
The area of the composite figure = Area of parallelogram - Area of rectangle
The area of the composite figure = (5 * 5) - (3 * 1)
The area of the composite figure = 25 - 3
The area of the composite figure = 22 square ft
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Richard can type 60 words per minute. At this rate, how low will it take him to type 720 words?
Answer:
It will take Richard 12 minutes to type 720 words.
Step-by-step explanation:
720 ÷ 60 = 12
math each object with the unit you would most likely use to messure it.
the height of a building gallons
the lenght of a fingernail centimeters
the mass of a paper clip grams
the distance between two cities pounds
the weight of a package feet
the volume of a water cooler kilometers
Units required to use to measure the dimensions of each object with appropriate units are as follow:
Height of a building : feet
Length of a fingernail : centimeters
Mass of a paperclip : grams
Distance between 2 cities : kilometers
Weight of a package : pounds
Volume of a water cooler : gallons
As given in the question,
Units required to use to measure the dimensions of each object with appropriate units are as follow:
Height of a building : It represent the tallness of a building which is measured in feet.
Length of a fingernail : Fingernail is the shortest dimension to know how long is the nail. It is measured in centimeters.
Mass of a paperclip : Represents the how heavy or light is paper clip, measured in grams as it not too heavy.
Distance between 2 cities : It represent how far is one city from other and is more length . Measured in kilometers.
Weight of a package : Package is quiet heavy so measured in ponds.
Volume of a water cooler : represents the capacity , measured in gallons.
Therefore, Units required to use to measure the dimensions of each object with appropriate units are as follow:
Height of a building : feet
Length of a fingernail : centimeters
Mass of a paperclip : grams
Distance between 2 cities : kilometers
Weight of a package : pounds
Volume of a water cooler : gallons
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Help me with this part
Answer:
-7, -1
This should be correct
if the original price is $42 and the discount is 15%off what is the sales price?
Answer: the sales price is $35.70
Step-by-step explanation:
42(0.15) to get the answer of how much the price is being reduced by. when you solve that you get 6.3.
42-6.3= 35.70
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
9514 1404 393
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
The standard form has mutually prime integer coefficients, with the leading coefficient positive. Clearing Katrarina's fraction of 2/3 can be accomplished by multiplying the equation by 3/2, as Sofiya advised.
The standard form is ...
6x -y = 12
What is the answer to that question?
Step-by-step explanation:
the diagram is not clear
When = 3, what will the value for y be for the equation - 4x + 5y = 18?
If x equals 3 then y must equal 1.2
Answer: y=6
-4(3)+5y=18
-12+5y=18
add 12 to both sides
-12+5y+12=18+12
5y=18+12
5y=30
divide both sides by 5
5y÷5=30÷5
y=30÷5
y=6
I hope this is good enough:
PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)
A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
Red=10
blue=8
yellow=5
what is the ratio of red balls to blue balls?
Answer:1.25
Step-by-step explanation:
it just math
(9+9.4i)+(-8.6-4i) and (9.4i)(-4i) simplify
We need to simplify :
\(\mleft(9+9.4i\mright)+\mleft(-8.6-4i\mright)\)Combine the like terms
\(\begin{gathered} \mleft(9+9.4i\mright)+\mleft(-8.6-4i\mright) \\ =(9+(-8.6))+(9.4i+(-4i)) \\ =(9-8.6)+(9.4i-4i) \end{gathered}\)\(=0.4+5.4i\)
exponents and powers
find n
(2²n)4x(2^n)2=2^16-1
The value of "n" is approximately 2.6666667.
What is exponent ?Exponent is a mathematical operation that represents repeated multiplication of the same number.
We can start by simplifying the left side of the equation:
(2^(2n))^4 * (2^n)^2 = 2^16 - 1
Using the exponent rules:
a^m * a^n = a^(m + n)
We can simplify the left side of the equation further:
2^(4n + 2n) = 2^16 - 1
Combining the exponents:
2^(6n) = 2^16 - 1
Now we can use the fact that if a^m = a^n, then m = n to solve for "n":
6n = 16
Dividing both sides by 6:
n = 16/6 = 8/3
Therefore, The value of "n" is approximately 2.6666667.
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