Answer:
it means you just gotta multiply it fam its 888
Step-by-step explanation:
A restaurant makes smoothies in batches of 12.5 litres.
The smoothies are made from ice cream and a mixed fruit
juice in the ratio 3 : 2.
34% of the juice is apple juice.
Work out the maximum number of batches of smoothie that
can be made from 51 litres of apple juice.
Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.
Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.
If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.
The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:
3x : 2x = ice cream : mixed fruit juice
Simplifying, we get:
ice cream = 1.5 × mixed fruit juice
Substituting the values we obtained earlier, we have:
3x = 1.5 × 2x
x = 0.75
Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.
To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.
To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.
Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.
To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.
Apply the distributive property to factor out the greatest common factor. 21e + 35 =
Answer:
7(3e+5) alternative form 92.08392
Step-by-step explanation:
Can some one please help me as soon as possible
what should be added to 4x²-3x²+1 to make it a perfect square
\(im \: guessing \: its \: 4x {}^{2} - 3x + 1 \\ (correct \: me \: if \: im \: wrong)\)
\((a - b) {}^{2} = a {}^{2} - 2ab + {b}^{2} \)
\(4x {}^{2} = a {}^{2} \: \: \: \: \: \: \: \: \: \: \: b {}^{2} = 1 \\ a = 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: b = 1\)
\((2x - 1) {}^{2} = 4x {}^{2} -4x + 1\)
\(we \: need \: to \: add \: a \: - x \\ \: to \: the \: original \: equation\)
Note that this problem can be approached in many ways. For instance, we can add to the b² term instead of changing the middle term...Triangle A B C is shown. The length of A C is 8 and the length of C B is a. Angle C A B is 45 degrees and angle A B C is 77 degrees.
Complete the work to determine the value of a.
Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.
Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .
Cross multiply: 8sin(45°) = asin(77°).
Solve for a and round to the nearest hundredth:
a ≈
.
Answer:
approximately 4.75 units
Step-by-step explanation:
Using the law of sines, we have:
sin(A)/a = sin(B)/b
Substituting the given values, we get:
sin(45°)/a = sin(77°)/8
Solving for 'a', we have:
a = sin(45°) * 8 / sin(77°)
a ≈ 4.75 (rounded to two decimal places)
Therefore, the length of CB is approximately 4.75 units
Answer:5.81
Step-by-step explanation: I'm doing the assignment rn and got it right.
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!
what is 11683.94 rounded to the nearest tenth.
Answer: It's 11683.9
Step-by-step explanation:
Given f(x) = 9x + 1 and g(x) = x³, choose
the expression for (fºg)(x).
Click on the correct answer.
A-9x^3+1x^3
B-9x^3+1
C-27x^3+3
D-(9x+1)^3
Answer:
\(9x^3 +1\)
Step-by-step explanation:
\((f \circ g)(x)=f(g(x)) \\ \\ =f(x^3) \\ \\ =9x^3 +1\)
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
Divide and simplify 9/7 + 9/2
Answer:
5.78571428571
Step-by-step explanation:
9/7 = 1.28571428571
9/2 = 4.5
And if you add it you get 5.78571428571
hopes this helps..
identify the x-values for which f(x)>-2
It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
How to explain the information?It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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Find the differential of each function. (a) y - x^2 sin 8x
The differential of the function y - x² sin 8x with respect to x is dy/dx - 2x sin 8x + 8x² cos 8x
To find the differential of the function y = x² sin 8x, we can use the standard notation dy/dx which represents the rate of change of y with respect to x.
To calculate dy/dx, we need to use the product rule, which states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.
Let z be the given function,
z= y - x² sin 8x
The derivative of x² is 2x
The derivative of sin 8x is 8 cos 8x
So,
dz/dx= dy/dx - (2x)(sin 8x) + (x²)(8cos 8x)
= dy/dx- 2x sin 8x + 8x² cos 8x
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Find the distance between the points (–9, 0) and (2, 5). Find the distance between the points (–9, 0) and (2, 5).
Answer:
sqrt( 146)
Step-by-step explanation:
To find the distance, we use the following formula
d = sqrt( ( x2-x1) ^2 + ( y2-y1) ^2)
sqrt( ( -9-2) ^2 + ( 0-5) ^2)
sqrt( ( -11) ^2 + ( -5) ^2)
sqrt( 121+25)
sqrt( 146)
A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
Answer:
45
Step-by-step explanation:
\(_{10} C_{2}\) = (10!) ÷(8!) (10-8)!
(10 × 9)÷2 = 45
Answer: 100
Step-by-step explanation:
10 people
2 chairs 1 chair 1 vice chair
10*10=100 different combinations
How long would it take the car to travel 240 miles?
To find how long it would take the car to travel 240 miles, first find thr
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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1) 3n² + 5n +7
A) quadratic monomial
B) cubic binomial
C) constant trinomial
D) quadratic trinomial
Answer:
D
Step-by-step explanation:
it is a quadratic trinomial
combine like terms in the expression 10g+14k-3k-8g-10k-2g
We want to find the zeros of this polynomial:
p(x) = 2x^3 – x^2 - 8x + 4
Plot all the zeros (z-intercepts) of the polynomial in the interactive graph.
Answer:
Step-by-step explanation:
The point is that any graphing calculator will work. We use Desmos on Brainly.
The graph below is your complete answer.
You can actually find the zeros by factoring
p(x) = x^2(2x - 1) - 4(2x - 1)
p(x) = (2x - 1) (x^2 - 4)
p(x) = (2x - 1) (x - 2)(x + 2)
I have to hurry. If this is not enough, let me know.
Problem’s in the image
The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years
What is a growth rate?The growth rate is the rate of growth of a function with regards to the input variable.
T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars
The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars
The growth rate per annum of The Iron Man's net worth = 10% per annum
The number of years it will take to reach T'Challa can therefore, be found as follows;;
(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)
(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)
x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))
x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years
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what type of data would best be displayed in a box plot
Answer:(2x+7)+(2x+7)
Step-by-step explanation:
what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer
Multi-Step Equations - PracticeCheck your SolutionCheck your SolutionCheck your SolutionCheck your SolutionCheck your Solution123456-3m - 5 = 5m - 136(y + 7) = 2(y - 3)3x + 2(x - 5) = 2510q + 3q + 5 = 2(q - 3)(x + 6) = 1323(x - 9)
Answer:
i don't get what i should do its all messed up
Step-by-step explanation:
1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water. Water flows out of the tank at a rate of 4 per minute. At this rate, how long will the tank be completely drained out of water? 80 cm 40 cm 30 cm 1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water . Water flows out of the tank at a rate of 4 per minute . At this rate , how long will the tank be completely drained out of water ? 80 cm 40 cm 30 cm
Answer:
6.34 min to empty
Step-by-step explanation:
80 cm x 40 cm x 30 cm = 96000 cm^3
this volume represents 25.36 gallons of water (US)
25.36 gal / 4 gal/min = 6.34 min to empty
HHHHHEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPP
Answer: $3.50
Step-by-step explanation:
Divide $10.50 by 3 to get the hourly rate
A = P(1 + nr) for r
Answer:
r = (An−nP)/P
Step-by-step explanation:
A = P(1 + nr)
Divide P on both sides.
A/P = 1 + nr
Subtract 1 on both sides.
A/P - 1 = nr
Divide n on both sides.
A/P/n - 1/n = r
(An−nP)/P = r
The answer is, r = (An−nP)/P
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
given that,
A = P(1 + nr)
Divide P on both sides.
A/P = 1 + nr
Subtract 1 on both sides.
A/P - 1 = nr
Divide n on both sides.
A/P/n - 1/n = r
(An−nP)/P = r
hence, answer is (An−nP)/P = r.
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2a+c=162.97
how do you use the elimination method for this
When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation
To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.
The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.
In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':
2a + c = 162.97
Rearrange the equation to isolate 'c':
c = 162.97 - 2a
Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.
For example, let's say we choose 'a' = 10:
c = 162.97 - 2(10)
c = 162.97 - 20
c = 142.97
So, when 'a' is 10, 'c' is approximately 142.97.
You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.
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I’m gonna die please
Answer:
The answer is B.
hope this helps
have a good day :)
Step-by-step explanation:
v=pi*r^2h
Answer:
5626.9m³
Step-by-step explanation:
V = πr²h
radius = 8
height = 28
to make it easier first step is to get the multiply the radius and the height but first multiple the radius by itself
=> 8 x 8 = 64
=> 64 x 28 = 1792
then multiply 1792 by π (3.14)
=> 1792 x 3.14 = 5626.88
when you round the answer it will be 5626.9
hope this helps and is right :)
Select the correct answer. What is the inverse of the function f(x)
\( \frac{19}{ {x}^{3} } \)
Answer:
A.
Step-by-step explanation: