Answer:
With that amount of butter she can make 26 pies.
For each pie she spends $1.13625 of butter.
Step-by-step explanation:
We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:
butter in cups = 10*2 = 20 cups
Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:
number of pies = total butter in cups / butter for one pie
number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667
Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.
In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.
price of butter per pound = 30.3/10 = 3.03
So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:
2 cups -> $3.03
3/4 cups -> $x
2/(3/4) = 3.03/x
2*(4/3) = 3.03/x
8/3 = 3.03/x
8x = 9.09
x = 9.09/8 = $1.13625
For each pie she spends $1.13625 of butter.
Please help meeeee! I’m stuck
Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
Evaluate the summation of negative 5 n minus 1, from n equals 3 to 12. −410 −385 385 410.
The summation of -5n - 1, from n equals 3 to 12, is equal to -410. To evaluate the summation, we substitute the values of n from 3 to 12 into the given expression and add them up.
The given summation is: Σ(-5n - 1), where n ranges from 3 to 12.
To find the value of this summation, we need to substitute the values of n from 3 to 12 into the expression -5n - 1 and add them up.
When n = 3:
Plugging in n = 3, we have: -5(3) - 1 = -15 - 1 = -16.
When n = 4:
Plugging in n = 4, we have: -5(4) - 1 = -20 - 1 = -21.
Similarly, we can repeat this process for the remaining values of n:
When n = 5: -5(5) - 1 = -25 - 1 = -26.
When n = 6: -5(6) - 1 = -30 - 1 = -31.
When n = 7: -5(7) - 1 = -35 - 1 = -36.
When n = 8: -5(8) - 1 = -40 - 1 = -41.
When n = 9: -5(9) - 1 = -45 - 1 = -46.
When n = 10: -5(10) - 1 = -50 - 1 = -51.
When n = 11: -5(11) - 1 = -55 - 1 = -56.
When n = 12: -5(12) - 1 = -60 - 1 = -61.
Now, we add up all these values: -16 + (-21) + (-26) + (-31) + (-36) + (-41) + (-46) + (-51) + (-56) + (-61) = -410. Therefore, the summation of -5n - 1, from n equals 3 to 12, is equal to -410.
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answer correctly!! please and thank you!!
Answer: \(R = \dfrac{E}{I}\)
Given Ohm's formula:
\(E = IR\)
divide both sides by I
\(\dfrac{E}{I} = \dfrac{IR}{I}\)
simplify
\(\dfrac{E}{I} = R\)
Answer:
R = E/I
Step-by-step explanation:
Ohm's Law :- E = IR .
We need to solve for R ,
==> E = IR
Divide both the sides by I ,
==> E/I = IR/I
simplify,
==> E/I = R
Hence the required answer is R = E/I
sampling on campus. you see a woman student standing in front of the student center, now and then stopping other students to ask them questions. she says that she is collecting student opinions for a class assignment. explain why this sampling method is almost certainly biased.
Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.
What do you mean by sampling?
Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.
According to the question,
A true sampling would be a mixed demographic group. A sampling from several like areas:
e.g. infront of the student store, infront of the regular store, infront if a food pantry, infront of ... or even better do a blind survey.
Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.
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Easy geometry
I’m stuck pls help
Show work :)
Answer:
x=9.5
NMR= 18°
Step-by-step explanation:
MN bisects PMN so NMR is equal to PMN making it also 18° so with this info we can now find x
(4x-2)=36
4x=38
x=9.5
Answer:
x=9.5
Step-by-step explanation:
Find answers 1-8 show work please.
Answer:
hope this helps you out good luck with your math
10
Question 15 (5 points)
The perimeter of a rectangle is 38 units. The length is 13 units longer than the width.
What are the dimensions of the rectangle?
OA) 12 by 7
B) 18 by 5
C) 15 by 4
D) 16 by 3
help
Answer:
Step-by-step explanation:
Width = w units
Length = ( w + 13 ) units
Perimeter of rectangle = 38 units
2* (length + width) = 38
2*(w +13 + w )= 38 {Use distributive property: a*(b+c)=(a*b) +(a*c)
2* ( 2w + 13) = 38
2*2w + 2*13 = 38
4w + 26 = 38 {Subtract 26 from both sides}
4w = 38 - 26
4w = 12 {Divide both sides by 4}
w = 12/4
w = 3 units
Length = 3 + 13 = 16 units
A ubmarine travel 7. 1 km due Eat from it bae and then turn and travel due North for 6. 8 km. How far away i the ubmarine from it bae?
Give your anwer rounded to 1 DP
The Submarine is 7.74 Km away from its base .
In the question ,
it is given that ,
the distance travelled by Submarine from base in East direction = 4.2 Km let the distance from base to east direction be denoted by AB ,that means AB = 4.2 Km
the distance travelled by Submarine from East to North direction = 6.5 Km let the distance from east to north direction be denoted by BC . that means BC = 6.5 Km
the given situation form a right triangle ,
So , the distance from submarine to its base is the hypotenuse of the right triangle , that is AC .
So By Pythagoras Theorem ,
AC² = AB² + BC²
Substituting the values , we get
AC² = 4.2² + 6.5²
AC² = 17.64 + 42.25
AC² = 59.89
AC = √59.89
AC = 7.7388
AC = 7.74
Therefore , The Submarine is 7.74 Km away from its base .
The given question is incomplete , the complete question is
A Submarine travel 4. 2 km due Eat from it base and then turn and travel due North for 6. 5 km. How far away is the submarine from it base ?
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Find the value of x that makes m ll n
Answer:
x = 24
Step-by-step explanation:
For the lines to be parallel
The 2 given angles would be alternate exterior angles and congruent, thus
5x + 19 = 139 ( subtract 19 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
11(7+4)=__•7+11•__
Help pls
PLEASE HELP ASAP
How much greater is 4×10 to the ninth power than 5×10 to the fifth power. Estimate by rounding to the nearest whole number
Answer:
Exact: 3,999,500,000
Estimate: 4,000,000,000
Step-by-step explanation:
(4)(10) = 40
(4 x 10)9 = 4,000,000,000
Notice that there are 9 zeros
_________________________________________
(5)(10) = 50
(5 x 10)5 = 500,000
Notice that there are 5 zeros
_________________________________________
4,000,000,000 - 50,000 = 3,999,500,000
A uniform distribution is defined over the interval from 6 to 10.
g. What is the probability that the random variable is equal to 7.91?
The probability that the random variable in a uniform distribution is equal to 7.91, given that the distribution is defined over the interval from 6 to 10, is zero.
In a uniform distribution, the probability is evenly spread across the entire interval. The probability of any specific value within the interval is determined by the width of the interval. In this case, the interval is from 6 to 10.
Since the random variable is continuous and the probability is spread evenly, the probability of any specific value within the interval is infinitesimally small. Therefore, the probability of the random variable being equal to 7.91, which falls within the interval from 6 to 10, is zero.
In conclusion, in a uniform distribution defined over the interval from 6 to 10, the probability of the random variable being equal to any specific value, including 7.91, is zero.
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If y varies inversely as x, and y = 10 when x = 20,
find x when y = 16.
Answer:
12.5
Step-by-step explanation:
y varies inversely as x.
y = k/x
10 = k/20
200 = k
The constant proportion k is 200.
16 = 200/x
Cross multiply.
200 = 16x
200/16 = x
x = 12.5
During 1 hour of television there are 12 commercials. If you watch 3 hours of television how many commercials will there be (please explain in numbers
Answer: 36
Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36 I hope that helps
The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60.
A nonmember pays $0.20 per game token, but no yearly fee.
Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
y = y equals StartFraction one-half EndFraction x.x
y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60
y = y equals StartFraction 1 Over 5 EndFraction x. x
y = y equals StartFraction 1 Over 20 EndFraction x plus 60.x + 60
The equation that represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year is C. y = 1/5x
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables illustrated.
In this case, a nonmember pays $0.20 per game token, but no yearly fee.
Let the number of games be x.
Therefore, the equation that represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year is:
y = 0.2 × x
y = 1/5x
In conclusion, the correct option is C.
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Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $18.75. How much would Marco spend on 3 bags of cat food?
Answer:
$11.25
Step-by-step explanation:
5 bags = $18.75
To find the amount for three bags, we need to find the price for each bag.
Divide 18.75 by 5.
18.75/5 = 3.75
So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.
and
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Word problem on direct variation
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car
travels 702 miles, how much gasoline does it need?
gallons
Explanan
Check
с
X
Kamilah
hp
800
Accessibility
Answer:
27 gallons
Step-by-step explanation:
let d be distance and g be amount of gasoline used.
given d varies directly with g then the equation relating them is
d = kg ← k is the constant of variation
to find k use the condition g = 5 when d = 130 , then
130 = 5k ( divide both sides by 5 )
26 = k
d = 26g ← equation of variation
when d = 702 miles , then
702 = 26g ( divide both sides by 26 )
27 = g
to travel 702 miles requires 27 gallons of gasoline
4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?
Answer:
c
Step-by-step explanation:
A teacher is randomly handing out tests. There are 2 different versions of the test, Test A and Test B. If there are 26 tests in all and an equal number of each version, what is the probability that the first 4 students will all receive Test A? Question content area bottom Part 1 The
The probability that the first 4 students will all receive Test A is 99/2990 .
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 statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
There are 12 tests of test A, and there are 12 tests of test B.
For the student to get A, it is a 12/26 chance.
For the next student, it is a 11/25 chance
For the next 10/24
For the next 9/23
12/26*11/25*10/24*9/23=99/2990
99/2990 chance
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You plan to purchase a house for 12.5 million baht, using a 30-year mortgage. You will make a down payment of 15 percent of the purchase price and you will not pay off the mortgage early. Ignore taxes in your analysis. Your bank offers you the following two options for payment.
Option 1: Mortgage rate of 7.25 percent and zero points.
Option 2: Mortgage rate of 6.75 percent and 4 points.
You would choose option ------- (1 or 2) because the Net Present Value of choosing option 2 is------ . (The answer can be negative. Do not round intermediate calculations and round your answer to two decimal places, e.g., 32.16.)
Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.
Given:
Purchase price = 12.5 million baht
Down payment = 15%30-year mortgage
We have to calculate the option which is best for us.
Option 1: Mortgage rate = 7.25%
Option 2:Mortgage rate = 6.75%
(a) Monthly Payment of Option 1:
Loan Amount = 12.5 * (100-15)%
= 10,625,000 baht
n = 30 * 12
= 360
i = 7.25%/12
= 0.006042857
Yearly Interest Paid = i * 10,625,000
= 64,515.48 baht
Monthly Interest Paid = 64,515.48 / 12
= 5,376.29 baht
EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)
where P = Loan Amount, R= Interest Rate per month, n= total number of payments.
EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)
EMI = 69,677.31 baht
(b) Monthly Payment of Option 2:
Loan Amount = 12.5 * (100-15)%
= 10,625,000 baht
n = 30 * 12 = 360
i = 6.75%/12 = 0.005625
Yearly Interest Paid = i * 10,625,000
= 59,765.63 baht
Monthly Interest Paid = 59,765.63 / 12
= 4,980.47 baht
Point cost = 4% of Loan Amount
= 10,625,000 x 4/100
= 425,000 baht
Loan Amount after Deducting Points = 10,625,000 - 425,000
= 10,200,000 baht
EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)
where P = Loan Amount, R= Interest Rate per month, n= total number of payments.
EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)
EMI = 66,128.92 baht
(c) We have to calculate the NPV of the payments to decide which option is better.
We use the formula to calculate NPV:-
NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)
Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.
NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)
= -9,892,571.85 baht
NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)
= -9,903,615.48 baht
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Simplify the following:
a. a+a+a+a+a+a
b. 5x-4x+10x
c. 9t+3t-6t
d. -5j+11j+j
=(a+a+a+a+a+a)
= 6a
b. 5x-4x+10x=(5x+−4x+10x)
= 11x
c. 9t+3t-6t=(9t+3t+−6t)
= 6t
d. -5j+11j+j=(−5j+11j+j)
= 7j
a)= 6a
b)= 11x
c)=6t
d)= 7j
have a great day!Complete the table. Function: f (x) = x+2
which of the following angles is not coterminal with the other three?
a) 540°
b) 0°
c) 180°
d) -180°
Answer:
b) i think
Step-by-step explanation:
Somebody please help
Answer:
A.
Step-by-step explanation:
The volume is LWH
L = 16
W = 9
H = 12
16 * 9 * 12 = 1728
Need help i will give brainlist
Answer:
The option u chose is the correct one
Expand the polynomial: (2x+3)^2
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9
Get some pointsss :)
\(2 + \frac{19}{30} = \frac{60 + 19}{30} = \frac{79}{30} \)
Answer:\( \frac{79}{30} = 2 \frac{19}{30} \)
Answer:
79/30
Step-by-step explanation:
the whole number is 60/30. If we add that to the already existing 19/30 we get 79/30.
the diagonals of a rhombus measure 18 feet and 12 feet. what is the perimeter of the rhombus? express your answer in simplest radical form
The perimeter of the rhombus is 4√117 feet.
What is rhombus?
A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.
In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.
Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.
Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.
Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.
\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)
Taking the square root of both sides:
h = √117
Since the rhombus has four congruent sides, the perimeter is given by:
Perimeter = 4 * h = 4 * √117
Thus, the perimeter of the rhombus is 4√117 feet.
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Identify the like terms in the expression:
-12x +15y -17x +16y
Find the 10th term in the
following sequence:
-21, -27, -33, -39,