The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
How many batches of bread and muffins should be made to maximize profits?The given parameters can be represented on the following table
Bread (x) Muffins (y)
Prepare 4 1 16
Bake 0.5 0.5 10
Profit 35 10
The parameters from the above table are
Max P = 35x + 10y
Subject to
4x + y <= 16
0.5x + 0.5y <=10
x, y > 0
Solving the above constraints using a graphing calculator, we have the following points
(x, y) = (4, 0) and (0, 16)
Substitute these values in Max P = 35x + 10y
So, we have
P = 35 x 4 + 10 x 0 = 140
P = 35 x 0 + 10 x 16 = 160
160 is greater than 140
Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
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what is the complement of 14 17'
The complement of the angle 14° 17' would be; 75° 43'
What is the Complement of the Angle?We want to find the complement of the angle 14° 17'
The complement of 14° is the angle that when added to 14° forms a right angle (90° ).
Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."
Thus, 14° 17' means 14 degrees, 17 minutes.
Now, 17 minutes when converted to degree is;
17/60 degrees = 0.283. Thus; 14° 17' = 14.283
Now, the complement of 14° 17' would be;
90 - 14° 17' = 75° 43'
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find the total amount and total interest after eight months if the interest is compounded every four months
The total amount is $ 6050, and the total interest after 8 months is $1050.
What is interest?
Interest is the financial charge for the honor of adopting a plutocrat, generally expressed as a periodic chance rate( APR).Interest is the quantum of plutocrat a lender or fiscal institution receives for advancing out money. However, you do it in order to achieve that result or maintain that situation, If you do commodity in the interests of a particular result or situation. There are basically three(3) main types of interest rates the nominal interest rate, the effective rate, and the real interest rate. The nominal interest of a (one) investment or loan is simply the stated rate on which interest payments are calculated.Here,
Period per year = 124 = 3
Total amount = amount (1 + periodic rate)period
= $6,050
Total interest = Total amount - amount
= 6050 - 5000
= $1,050
Thus,
The total amount is $ 6050, and the total interest after 8 months is $1050.
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Quadrilateral A' B'C'D' is the image of quadrilateral ABC D under a translation.
What is the standard deviation of this data set ?Reporting 2 more decimal places than the original data. 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61
Answer:6.986
Step-by-step explanation:
To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.
Answer: Standard deviation is 6.986.
Step-by-step explanation:
Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation
To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.
Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.
In this case standard deviation is 6.986.
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You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club
Event C has ____ outcome(s)
The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
In this question, we have been given an event of a random experiment.
You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.
We need to find the total number of outcomes for event C.
Number of cards in a deck = 52
We know that, the number of club cards in the standard deck of cards = 13
Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13
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is it tru
e or false that parallel lines are always perpendicular lines
reflection across y = -x please I need help I will mark you brainless
Suppose you make monthly mortgage payments of $1,345 and have 10 years left on the mortgage (next payment due next month). Assuming a 3.6% stated annual interest rate for the mortgage, how much would you need today to pay off the mortgage?
I will need $1,61,884.2 to pay off the mortgage.
This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.
The monthly mortgage payment is $1,345.
Rate of interest is 3.6% per annum.
Time is given to be 10 years.
Simple interest for 10 years = 1345×3.6×10/100
= $ 484.2
So, the total money required to clear the mortgage
= $(1345×12×10) + $ 484.2
= $161400 + $484.2
= $ 1,61,884.2
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Could someone please help me solve this, I have a few hours left and I’m really struggling so bad
Answer:
8
Step-by-step explanation:
shirts = 10, price per shirt = $9
shirts = 25, price per shirt = $8.40
Linear equation be:
y = mx + b
x = 10 , 25
y = 9 , 8.40
9 = 10m + b
8.4 = 25m + b
9 = 10 m + b b = 9 - 10m
8.4 = 25m + b 8.4 = 25m + 9 - 10m
8.4 - 9 = 15m m = -0.6/15 = -0.04
m = - 0.04
b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4
b = 9.4
The linear equation =
y = mx + b
y = -0.04x + 9.4
Hope this helped xx ?<3
9 less than nine times a number.
Answer:
9-9x
Step-by-step explanation:
Converted from word to standard form.
The value of the equation 9 less than nine times a number is A = 9n - 9 , where n is the number
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 9 less than nine times a number
Let the number be represented as n
On simplifying the equation , we get
A = 9n - 9
Therefore , the value of A is 9n - 9
Hence , the equation is A = 9n - 9 , where n is the number
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help pleaseeeeeeeeeeeeeeeeeeee
6.2E15
Here ; E stands for "times 10 to the power of or simply it replaces 10^ "
You, Newton, and Descartes have
17 stampers in all. Newton and Descartes each
have 6. How many stampers do you have?
I will have 5 stampers
How to calculate the number of stampers left ?I, Newton and Descartes have 17 Stampers in total
Newton and Descartes have 6 stampers each
6 + 6
= 12
The number of stampers left for me can be calculated as follows
= 17 - 12
= 5
Hence I have 5 stampers
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I have attached the problem in a picture below!
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]
Therefore, the answer is A. as the solution is x = 5 or -7
The distance between two places of interest is 2/3km. I go 1/4 of this distance on foot. How far is still to go?
Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]
Step-by-step explanation:
If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover
If the distance between the two places is d, distance left =(3/4) . d
In this case, d = 2/3 km
So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]
We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction
[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]
Dividing both numerator and denominator by 2 gives us
[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]
Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]
Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.
Answer:
5(x+3) = 7
Step-by-step explanation:
5(x+3) = 7
I just need that one answer please
Answer:50.5
Step-by-step explanation:
because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.
What is the factored form of x2−9
Answer:
(x+3)(x-3)
Step-by-step explanation:
When factoring x^2-9 you'd look for square multiples of -9.
Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)
Please answer quick!!! TYSM!
Answer:
10
Step-by-step explanation:
[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]
Find the square root of: 2 + sqrt5
Answer:
3.65
Step-by-step explanation:
The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6
Measures of Variation, Standard Deviation, Population Variance, Population. Can someone help?
To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.
There is a direct formulae to calculate the variance of the data,
Variance = [tex]σ^{2} =\frac{Sigma(xi-m)^{2}}{n}[/tex]
Now here we need to verify ∑x and ∑[tex]x^{2}[/tex].
∑x = 21+19+15+32+27
= 114
and ∑[tex]x^{2}[/tex] = [tex]21^{2} +19^{2} +15^{2} +32^{2} +27^{2}[/tex]
= 441+361+225+1024+729
= 2780
So, the given relation is true.
Now the variance of the given data by putting the values in the formulae is equal to 45.2.
And Standard deviation=[tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{45.2}[/tex]
= 6.72
And for population α²=36.16 and deviation=6.01.
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expanded:
Kaleb compared the perimeters of two
posters hanging on his bedroom wall.
60 cm
What is the perimeter
of the football poster?
86 cm
What is the perimeter
of the basketball poster?
Which poster has a
greater perimeter?
catam
55 cm
Answer:
1. The perimeter of the basketball poster is 240.
The perimeter of the football poster is 282.
3. Football poster has the greater perimeter.
Step-by-step explanation:
To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.
To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.
2(55+86)=282.
282 > 240, which means that the football poster has a greater perimeter.
Hope that helps, have a good day!! :D
En que líquido se hunda más rápido un huevo
Answer:
Se hunde mas rapido en agua salada.
Step-by-step explanation:
For a party, Ashley wants to make 12 hamburgers. If she has 2.964
pounds of meat, how much would each patty weigh? _________ pounds
Answer:
247
Step-by-step explanation:
divides 2964 entre 12 y obtienes 247
(2,−3) and (0,−8) answer
Answer:
y2-y1/x2-x1
-8--3/0-2
Step-by-step explanation:
-8+3/-2=-5/-2=5/2
QUESTION 8
Simplify 6a+ (-12b) - 9b+8a
O 2a + 3b
O 14a-21b
O2a-21b
O 14a + 3b
After simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.
What are expressions?An expression is a collection of numbers or variables that have been combined using the operations +, -, × or ÷. Arithmetic expressions consist only of numbers and mathematical operators, whereas algebraic expressions consist of variables, numbers, and mathematical operators.So, 6a + (-12b) - 9b + 8a:
6a + (-12b) - 9b + 8a6a + -12b -9b + 8a6a - 21b + 8a14a - 21bTherefore, after simplification of the given expression, 6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.
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The correct question is given below:
Simplify 6a+ (-12b) - 9b+8a
A. 2a + 3b
B. 14a-21b
C. 2a-21b
D. 14a + 3b
You sell a smartphone that was originally priced at $600 but is now on sale for 20% off. You give a loyal customer an additional 10% discount. What is the total percent of discount the customer receives on the purchase? A.
Answer: 30%
Step-by-step explanation: just add the 20% and 10% and you get 30%
teach me simple equation solving an equation using tansposing method class 7 pleaseee pls
Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -
y = ax + b
Given a simple equation and we have to solve the equation using transpose method.
We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -
4(x + 9) = 3(x + 7)
STEP - 1 - Identify the unknown variable.
In the expression given, the unknown variable is x.
STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.
In the expression given, we will simplify both sides -
4(x + 9) = 3(x + 7)
4x + 4 × 9 = 3x + 3 × 7
4x + 36 = 3x + 21
STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.
Apply Step 3 -
4x - 3x + 36 = 21
4x - 3x = 21 - 36
STEP - 4 - Solve for unknown variable.
We have -
4x - 3x = 21 - 36
x = - 15
Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.
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A house is purchased for $145,000 and each year increases in value by 6% of its value the previous year. (6 marks) Let be the value of the house in year . Write a difference equation which gives the value of the house after years. Solve the difference equation. Find the projected value of the house in 15 years.
The projected value of the house after 15 years is $347500.
A house is purchased for $145,000.
The value of the house increases each year by 6% of its value the previous year.
Let y(n) denote the value of the house after n years.
Initial value is $145,000.
⇒ y(0) = 145,000
The value of the house increases each year by 6% of its value the previous year.
Therefore the growth is exponential, and we have
y(n) = y(0)(1+0.06)ⁿ
When n = 1
⇒y(1) = 145000 × (1.06)
⇒y(1) = 153700
When n = 2,
⇒y(2) = 145000 × (1.06)²
⇒y(2) = 162922
Therefore, when n = 15,
⇒y(15) = 145000 × (1.06)¹⁵
⇒y(15) = 3,47,500
Therefore, the projected value of the house after 15 years is $347500.
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Why was his velocity 0? Explain.
What kind of triangle is this?
73°
75°
acute
Submit
32°
right
obtuse
Answer:
acute
Step-by-step explanation:
acute: degrees are all less than 90*
right angles: have a 90* angle
obtuse angle: has an angle greater than 90*
