Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
Grocery store: 9 ounces for $3.75
• Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)
Answers
Answer:
C. $0.19/ounce
Step-by-step explanation:
We know that 16 ounces = 1 pound but we have 5 pounds,
So, we do 5 times 16.
We get 80 (ounces) and we divided ounces by total cost ($15.25)
We get our answer:
$0.19/ounce
Answer:
lvvies can you please help me again
Step-by-step explanation:
Related Questions
25 points and brainiest
What is a fraction and how do you use it?
Answers
Answer:
Step-by-step explanation:
A fraction is literally a division question in one number. You can use it to determine parts of something (parts of a whole)
Please help the answer cannot be a fraction (I have no clue)
Answers
Answer:
1.25
Step-by-step explanation:
cause 5/4÷ 12/12 is 1/8 and 1/8 as a decimal is 1.25.
Perimeter of a Square What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?
A. 20
B. 20 â2
C. 10/ â12
D. 40
E. 20/ â12
Answers
The answer to this question is none of the given options (A, B, C, D, or E).To find the maximum perimeter of a square that can fit inside a circle of radius 5 cm, we need to consider that the diameter of the circle is equal to the diagonal of the square.
This means that the side of the square will be equal to the radius of the circle multiplied by the square root of 2 (since the diagonal of a square is the side length times the square root of 2).
So, the side length of the square will be 5 cm x √2 = 7.07 cm. And since a square has four sides of equal length, the perimeter of the square will be 4 x 7.07 cm = 28.28 cm.
However, this perimeter is greater than the circumference of the circle with radius 5 cm, which is 2 x π x 5 cm = 31.42 cm. This means that the square cannot fit entirely inside the circle.
Therefore, the answer to this question is none of the given options (A, B, C, D, or E).
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Use the distributive property to write an equivalent expression.
6(m + 6)
Answers
Answer:
6m+36
Step-by-step explanation:
Distributive property: 6(m)+6(6)
6m+36
Answer:
6(m+6)
6 times m= 6m
6 times 6=36
6m+36
Step-by-step explanation:
hopefully that helps
In a sale normall prices are reduced by 10% Natalie brought a pair of shoes from the sale and they cost £54 what was the original price
Answers
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
there are $7$ dots on a circle. what is the maximal number of intersection points outside the circle created by connecting these points with lines?
Answers
The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.
To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:
Max intersection points = n * (n - 1) / 2
In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:
Max intersection points = 7 * (7 - 1) / 2
Max intersection points = 7 * 6 / 2
Max intersection points = 42 / 2
Max intersection points = 21
Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.
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The answer too this??? And how to solve
Answers
alright then, 12x + 17 = 66! we started with 17 and there is twelve months with x amount of inches grown plus the already 17 that equals the total 66
so it is 12x + 17 = 66
Answer:
B. 12x + 17 = 66
Step-by-step explanation:
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Mr. Wilkins is building a shed. The sketch shows the dimensions of the shed. What is the volume of the shed?
Answers
WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
1.5
Step-by-step explanation:
2 ft. / the number of sides for width (2) = 1 then 3 ft. / number of sides for length (2) = 1.5
1.5 x 1 = 1.5
if $a$ is a positive integer, then $3a^2 19a 30$ and $a^2 6a 9$ are also positive integers. we define the function $f$ such that $f(a)$ is the greatest common divisor of $3a^2 19a 30$ and $a^2 6a 9$. find the maximum possible value of $f(a)- a$.
Answers
The maximum possible value of f(a)- a is 3 for all a.
Based on the provided information, as a is a positive integer, the expression 3a^2 + 19a + 30 and a^2 + 6a + 9 are also positive integers. In order to determine the greatest common divisor, factorized the two expressions using sum product pattern.
i) 3a^2 + 19a + 30
3a^2 + 10a + 9a + 30
a(3a + 10) + 3(3a + 10)
(3a + 10)(a + 3)
ii) a^2 + 6a + 9
a^2 + 3a + 3a + 9
a(a + 3) + 3(a + 3)
(a + 3)(a + 3)
The greatest common divisor is (a + 3)
As the function f is such that f(a) is the greatest common divisor, hence f(a) = a + 3
The maximum possible value of f(a) - a = a + 3 – a = 3 for all a.
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25 POINTS // URGENT
SportsTown is having a 30%-off sale on baseball equipment. Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question
49 - 0.3(49). Juan finds the sale price by multiplying 0.7(49).
Who found the correct sale price?
GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the your answer and it will be removed shortly afterwards.
MIDDLE SCHOOL LEVEL MATH
Answers
Answer: Thus both of them got it correct
Step-by-step explanation:
Step 1
Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).
the Price will be 49-14.7=34:3
Step 2
Juan finds the sale price by multiplying 0.7(49).
0.7x 49 =34.3
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answers
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
Find the value of t for which WXYZ is a parallelogram
Answers
Answer:
t=25
Step-by-step explanation:
∠x=∠z 120°=(4t+20)°
120-20=4t 100=4t t=25
linear equations with distributing drag and drop
Can someone please help me with these? I'll give you a 5 star rating, and brainliest answer!
Answers
Answer:
A.)
distributeadd 7x to both sidesadd 6 to both sidesdivide both sides by 10B.)
distributecombine like termssubtract 12x from both sidesadd 6 to both sidesdivide both sides by 10The price of a TV was $900 on Tuesday. On Wednesday, the manager reduced the price by 5%. What was the price in dollars of the TV after the reduction?
Answers
900 x .05 = 45
900 - 45 = 855
If the measure of ZB is 40°, what measures can ZA and
C be? Select the three correct answers.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answers
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
What is the slope-intercept equation for this line?
Answers
Solution:
Step-1: Find the slope of the line.
Formula: Rise/Run = y₂ - y₁/x₂ - x₁
y₂ - y₁/x₂ - x₁ = Slope=> -2 - (-1)/4 - 0 = Slope=> -2 + 1/4 - 0 = Slope=> -1/4 = SlopeStep-2: Find the y-intercept of the line.
The y-intercept of the line is the point that intersects the y-axis.
=> y-intercept = -1Step-3: Create the equation.
=> y = (m)x + (b) => \(y = -\frac{1}{4} x - 1\)In the expression (x^2 + 3), the base is ?
Answers
The base is X
What are the other stuff then?
2 is the power
3 is the constant
EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
Answers
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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Gushers Company produces 1000 packages of fruit snacks per month. The sales price is $6 per pack. Variable cost is $1.60 per unit, and fixed costs are $1700 per month. Management is considering adding a vitamin supplement to improve the value of the product. The variable cost will increase from $1.60 to $1.80 per unit, and fixed costs will increase by 10%. At what sales price for the new product will the two alternatives (sell as is or process further) produce the same operating income? (Round your answer to the nearest cent.)
a. $6.00
b. $6.37
c. $3.67
d. $2.70
Fruit Sushi Inc. produces 1000 packages of fruit sushi per month. The sales price is $4 per pack. Variable cost is $1.60 per unit, and fixed costs are $1700 per month. Management is considering adding a chocolate coating to improve the value of the product by making it a dessert item. The variable cost will increase from $1.60 to $1.90 per unit, and fixed costs will increase by 20%. The CEO wants to price the new product at a level that will bring operating income up to $3000 per month. What sales price should be charged? (Round your answer to the nearest cent.)
a. $2.40
b. $6.94
c. $4.00
d. $2.10
Fruit Computer Company makes a fruit themed computer. Variable costs are $220 per unit, and fixed costs are $32,000 per month. Fruit Computer Company sells 500 units per month at a sales price of $300. The company believes that it can increase the price if the computer quality is upgraded. If so, the variable cost will increase to $230 per unit, and the fixed costs will rise by 50%. The CEO wishes to increase the company's operating income by 30%. Which sales price level would give the desired results? (Round your answer to the nearest cent.)
a. $284.00 per unit
b. $316.00 per unit
c. $990.00 per unit
d. $346.80 per unit
Answers
Selling price = $6.37 .
Selling price = $6.94
Selling price = $346.80
1)
Sales revenue = 6,000
Less:-Variable costs ($1.5 per unit 1,000) = 1,500
Less:- Fixed costs = (1,700)
Operating Income = 2,800
Variable costs and Fixed costs have increased.
Hence, in order to maintain the same Operating Income, the selling price should be higher than the current selling price .
Thus to maintain same operating income the selling price should be $6.37 .
2)
The computation is given below:
Sales price = ( Total sales revenue ÷ packages sold)
Total sales revenue = ( Total Cost + Operating income )
Total Cost = ( Variable Cost + Fixed cost)
Now
Variable cost = 1,000 packages × $1.90 per unit
= $1,900
Fixed cost = $1,700 × 120%
= $2040
Total cost = $1,900 + $2,040
= $3,940
Now
Total sales revenue is
= $3,940 + $3,000
= $6,940
Now
Sales price = $6,540 ÷ 1,000 packages
= $6.94
3)
-Fruit Computer Company has variable costs of $220 per unit and fixed costs of $32,000 per month.
- The company currently sells 500 units per month at a sales price of $300.
Net margin = $8000
- The company wants to increase its operating income by 30%.
- If the company upgrades the computer quality, the variable cost per unit will increase to $240 and the fixed costs will rise by 50%.
Thus the selling price per unit will be $346.80 per unit.
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Write 63 as a product of as many factors a possible. Do not use 1 as a factor.
Answers
Answer:
7 x 9 = 63 7 is a FACTOR of 63
9 is a FACTOR of 63
7 and 9 are even DIVISORS of 63
63 is a MULTIPLE of 7 and 9
63 is a PRODUCT of 7 and 9
63 is evenly DIVISIBLE by 7 or 9
Writing 63 as a product of as many factors will be: 7 × 9, 3 × 21, 9 × 7 and 21 × 3.
The factors of 63 include 1, 3, 7,9, 21 and 63.
Since we've been given the information that we should not use 1 as a factor when multiplying according to the question, then the 63 as a product of its factors will be:
3 × 21 = 63
7 × 9 = 63
9 × 7 = 63
21 × 3 = 63
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HELP IT'S DUE IN 2 MINUTES
Answers
Answer:
D) 2² × 3³ × 7
Step-by-step explanation:
Hope this helps! Have a nice day :)
2^2•3^3•7=756
C. The 3582600 people who quality to vote is 42%. of the total population of the country. Calculate the total population of the country
Answers
The calculated value of the total population of the country is 8530000
Calculating the total population of the country From the question, we have the following parameters that can be used in our computation:
3582600 is 42%. of the total population of the country
This means that
42%. of the total population of the country = 3582600
Express as product
So, we have
42% * the total population of the country = 3582600
Divide both sides by 42%
the total population of the country = 3582600 /42%
Evaluate
the total population of the country = 8530000
Hence, the total population of the country is 8530000
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1/6=n+7/9 what does n equal
Answers
Answer:
n=-11/18
Step-by-step explanation:
1/6=n+7/9
Change the sign and move the variable to the left hand side
-n+1/6=7/9
Change its sign and move constant to the right hand side
-n=7/9-1/6
Subtract the fractions
-n=11/18
Change the sign on both sides
n=-11/18
List 3 values that would make this inequality true. n > 4 ___,___,___
Answers
Values that will satisfy the given inequality be 5,6 and 7.
What do you mean by natural number?
All positive numbers from 1 to infinity are considered natural numbers and are therefore a component of the number system. Because they don't contain zero or negative numbers, natural numbers are also known as counting numbers. They are a subset of real numbers, which only include positive integers and exclude negative, zero, fractional, and decimal numbers.
Given inequality:
n > 4
Values that will satisfy the given inequality be 5,6 and 7.
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Clara can grow 3 plants with every seed packet. With 2 seed packets, how many total
plants can Clara have in her backyard?
Answers
Answer:
6
Step-by-step explanation:
u can plant 3 plants per packet
3*2=6
There are only blue counters, red counters and green counters in a box.
Answers
what is the domain of the function?
what is the range of the function?
is this relation a function?
yes or no
Answers
Answer:
no
Step-by-step explanation:
I need help on this and the first person who answer this correctly gets BRANLIST
Answers
Answer:
-5/4
Step-by-step explanation:
Use the formula lol
You have a rectangular prism cake with dimensions of 16 inches long, 12 inches wide and 3 inches tall. If we keep the height of 3 inches, what does the width of a round cake need to be to keep the same volume
Answers
The width of the round cake needs to be approximately 15.63 inches to keep the same volume as the rectangular prism cake.
To keep the same volume when changing the shape of the cake from a rectangular prism to a round cake with a fixed height of 3 inches, we need to find the width of the round cake.
The volume of the rectangular prism cake is given by:
Volume = Length * Width * Height
Substituting the given values:
Volume = 16 inches * 12 inches * 3 inches
The volume of a round cake can be calculated using the formula for the volume of a cylinder:
Volume = π * radius^2 * Height
We want to keep the height at 3 inches, so the equation becomes:
Volume = π * radius^2 * 3 inches
To keep the same volume as the rectangular prism cake, we can equate the two volume expressions:
16 inches * 12 inches * 3 inches = π * radius^2 * 3 inches
Simplifying, we can cancel out the common terms:
16 inches * 12 inches = π * radius^2
Dividing both sides by π:
(16 inches * 12 inches) / π = radius^2
Taking the square root of both sides to solve for the radius:
radius = √[(16 inches * 12 inches) / π]
Now, to obtain the width of the round cake, we can double the radius since the radius represents half the width:
Width of round cake = 2 * radius
Width of round cake = 2 * √[(16 inches * 12 inches) / π]
Width of round cake ≈ 2 * √[(192 inches^2) / π]
Width of round cake ≈ 2 * √(61.211)
Width of round cake ≈ 2 * 7.815
Width of round cake ≈ 15.63 inches (rounded to two decimal places)
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