if seven less than three times a number is negative one. What is the number?
if seven less than three times a number is negative one then the number is 2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the number be x.
Seven less than three times a number is negative one.
We need to find the unknown number x from the given statement.
Less than we use when we use subtraction, times we use for multiplication.
seven less than three times a number is negative one.
3x-7=-1
Add 7 on both sides
3x=6
Divide both sides by 3
x=2
Hence, if seven less than three times a number is negative one then the number is 2.
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please help me with math
Answer: A) [tex]y=\frac{3}{7}x-2[/tex]
Step-by-step explanation:
its just the answer, and if you want explanation just say...
A function, f(x), has zeros at-1/2 and 3/2.What is one factor of f(x)
O A. (2x - 1)
OB. (2x + 3)
O C. (2x - 3)
O D. (3x - 2)
The option that is a factor of the function f(x) is C.
(2x - 3)
Because it becomes zero when x = 3/2.
How to identify one factor of function f(x)?We know that the function f(x) has zeros at x = -1/2 and x = 3/2.
And we want to see which ones of the given expressions can be a factor of the function.
If the function becomes zero at these values, then the factors need to become zero at one of these two values.
With that in mind, we can see that the correct option is C.
(2x - 3)
when x = 3/2 we get:
(2*3/2 - 3) = (3 - 3) = 0
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I barley know anything about shapes
Answer:
they all have flat sides except for the cylinder
Step-by-step explanation:
Its okay we all are bad on some things
Andre pidió prestado al prestado al banco un capital de 350,000 por lo cual el banco le cobrará un 6%de interés mensual cuánto debe pagar por un mes de interés
Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:
Interest = Capital * Interest rate
In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:
Interest = 350,000 * 0.06
Interest = 21,000
Therefore, Andre has to pay 21,000 for one month of interest.
2x+3y=102, x, plus, 3, y, equals, 10
In the xyx, y-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?
Any line of the form:
y = (3/2)x + b
Is perpendicular to the given line.
Which equation is perpendicular to the given one?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the product between the slopes is -1.
Here we want to find a line perpendicular to:
2x + 3y = 10
We can rewrite this as:
3y = 10 - 2x
y = (10/3) - (2/3)*x
Then the slope of the perpendicular line must be such that:
a*(-2/3) = -1
a = 3/2
Then any line of the form:
y = (3/2)*x + b
Is perpendicular to the given line.
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7. During a sale at the Honda dealership, Mr. Sherman notices the great 10 points
sales price ($33,500) and purchases two cars for his daughters. What will
he pay in total for the two cars, including 8.875% sales tax?
A. $72,946.25
B. $36,473.13
C. $41,372.50
D. $82,745
Answer: A
Step-by-step explanation:
First you add up the total prices of both cars
$67,000
Next find 8.875% of that and add to total price of both cars
Answer= $72,946.25
Question 10 Part 1 of 3
When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium
population continues to grow for a while, but then stops growing and begins to decline. The size of
the population at time t (hours) is b=8^6 +8^3t-8^2 t^2. Find the growth rates at t=0 hours,
t=4 hours, and t=8 hours.
The growth rate at t=0 hours is _____bacteria per hour
The population at 0 hours is 1,000, at 4 hours is 1,000,024, and at 8 hours is 1,000,016.
How to calculate the number of bacteria over time?To calculate how the number of bacteria changes over time, let's use the function provided and replace the variable t = time.
0 hours:
Population = 10^6 + (10^4)0 -(10^3)0^2
Population = 10^6 - 10^3
Population = 10^3 or 1,000
4 hours:
Population = 10^6 + (10^4)4 -(10^3)4^2
Population= 10^6 + 40,000 - 16,000
Population= 1,000,024
8 hours:
Population = 10^6 + (10^4)8 -(10^3)8^2
Population= 10^6 + 80,000 - 64,000
Population= 1,000,016
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A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. What is the unit rate in quarts per pound?.
10 pounds of barley should be used by the cook to mix in with the 35 quarts of the vegetable broth.
lets say we know that there is a mix of 2 pounds of barley into 7 quarts of vegetable broth, so we can say that,
2:7 is the ratio used for the mix
similarly we can say,
let the pounds of barley into 35 quarts of vegetable broth used be x
x:35 because its given that there are 35 quarts used in the vegetable soup so we need to find the value of 'x'
then, 2/7=x/35, that is pounds/quarts
then, x= 2/7 × 5
then, x = 2×5
therefore we know that x = 10
so we can say that there are 10 pounds of barley used in the mix by the cook along with the 35 quarts of vegetable broth.
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Convert the following quantities to the indicated units. 34 liters=to how many quarts
Answer:
Step-by-step explanation: 34 quarts
1 Liter = approximately 1.06 quarts
so 34 x 1.06 is about 36.04 quarts
The vertex of this parabola is at (5,-4). Which of the following could be its
equation?
The possible equation of the parabola is y = (x - 5)^2 - 4
How to determine the possible equationfrom the question, we have the following parameters that can be used in our computation:
Vertex = (5, -4)
The vertex form of a parabola is given by:
y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola.
We are given that the vertex of the parabola is (5,-4). Substituting these values into the vertex form, we get:
y = a(x - 5)^2 - 4
Let a = 1
So, we have
y = (x - 5)^2 - 4
Hnce, the possible equation is y = (x - 5)^2 - 4
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Determine the area of this composite figure below
Answer:
The area is 510 in^2.
Step-by-step explanation:
You need to find two areas. The area of the rectangle and then the area of the triangle above.
The formula for a rectangle's area is base x height. The base is 20 inches, and the height is 15 inches as shown on the side. So, you multiply 20 x 15, and the product is 300.
The formula for a triangle's height is 1/2(base x height). The 3 ft on the side is equal to 36 inches. To find the height of the triangle alone, you take the 36 inches and subtract by 15 inches, resulting in a difference of 21 inches. The base of the triangle is 20 inches, so multiply 20 x 21 = 420. Then multiply 420 by 1/2 (or divide by 2) and you get 210.
Now that we have the areas of both shapes, 210 + 300 = 510.
The area of the composite figure is 510in².
Step-by-step explanation:1. Identify the different shapes that form this composite figure.Check attached image 1.
2. Identify the dimensions of each shape.a) For the rectangle, we have that the base is 20 inches, and that the height is 15 inches.
b) For the triangle, we see that the base is also 20 inches long, and the height must be the difference between the height of the rectangle and the total height of the composite figure.
3. Convert all the units to a single unit.First, convert the 3 feet to inches, because we need to have the same unit in order to make the calculations.
We know that 12 inches is 1 feet, therefore, to covert 3 feet to inches we do the following operation:
[tex]3feet*\frac{12inches}{1feet}[/tex]
The feet unit cancel out and the 3 is multiplied by 12, leaving us with the following result:
[tex]36inches[/tex]
4. Find the height of the triangle.Check attached image 2.
So the height of the triangle must given by the following expression:
[tex]36in-15in=21in[/tex]
5. Find the individual area of each shape.a) For the rectangle:
[tex]A=b*h[/tex]; where "b" is the length of the base and "h" is the height.
[tex]A=(20in)(15in)=300in^{2}.[/tex]
b) For the triangle:
[tex]A=\frac{b*h}{2} =\frac{(20in)(21in)}{2} =210in^{2} .[/tex]
6. Find the total area.So if the figured is formed by a triangle and a rectangle, the sum of the area of the 2 shaped equals the area of the composite figure. Let's add up the areas and calculate:
[tex]300in^{2} +210in^{2} =510in^{2} .[/tex]
7. Conclude.The area of the composite figure is 510in².
Marissa wants to blend candy selling for $1.50 per pound with candy costing $2.40 per pound to get a mixture that costs her $2.10 per pound to make. She wants to make 18 pounds of the candy blend. How many pounds of each type of candy should she use?
Pounds of $1.50 per pound candy =
Pounds of $2.40 per pound candy
Answer: 6 pounds and 12 pounds.
Step-by-step explanation:
1.5(x)+2.4(18-x)=2.1(18)
1.5x+43.2-2.4x=37.8
1.5x+43.2=37.8+2.4x
0.9x=5.4
x=6 pounds of $1.50 candy
18-6=12 pounds of $2.40 candy
(check my work to see if it's correct :))
Question 3 of 5
Solve 3x + 6 = 21.
A. x=7
B. x=5
C. x=8
D. x=9
Answer:
B. x=5
Step-by-step explanation:
3x + 6 = 21
Subtract 6 from both sides.
3x = 15
Divide both sides by 3.
x = 5
Answer: B. X=5
Step-by-step explanation:
3x+6=21
subtract 6 on both sides
3x=15
divide by 3 on both sides
x=5
Five students—the females Ann and Betty and the males Clint, Douglas, and Edward—are rated equally qualified for admission to law school, ahead of other applicants. However, all but two positions have been filled for the entering class. The admissions committee can admit only two more students, so it decides to randomly select two of these five candidates. For this strategy, let of females admitted. Using the first letter of the name to denote a student, the different combinations that could be admitted are (A, B), (A, C), (A, D), (A, E), (B, C), (B, D), (B, E), (C, D), (C, E), and (D, E).
(a)Construct the probability distribution for .
(b)Construct the sampling distribution of the sample proportion of the students selected who are female.
Answer:
(a) The probability distribution for the number of female students admitted can be calculated as follows:
P(0 female students) = (2C0) × (3C2) / (5C2) = (1) × (3) / (10) = 0.3
P(1 female student) = (2C1) × (3C1) / (5C2) = (2) × (3) / (10) = 0.6
P(2 female students) = (2C2) × (3C0) / (5C2) = (1) × (1) / (10) = 0.1
(b) The sampling distribution of the sample proportion of female students selected can be calculated as follows:
P(p = 0) = 0.3 (for 0 female students)
P(p = 1/2) = 0.6 (for 1 female student)
P(p = 1) = 0.1 (for 2 female students)
Note that the sampling distribution of the sample proportion is a discrete probability distribution with values of 0, 1/2, and 1, and corresponding probabilities 0.3, 0.6, and 0.1, respectively.
Can anyone explain this question about complex numbers ?
Answer:
Step-by-step explanation:
(a) Using de Moivre's Theorem, we have that:
z^n = cos(nθ) + i sin(nθ)
1/z^n = cos(-nθ) + i sin(-nθ)
So, we can find z^n + 1/z^n as:
z^n + 1/z^n = (cos(nθ) + i sin(nθ)) + (cos(-nθ) + i sin(-nθ)) = 2 cos(nθ)
And z^n - 1/z^n as:
z^n - 1/z^n = (cos(nθ) + i sin(nθ)) - (cos(-nθ) + i sin(-nθ)) = 2i sin(nθ)
(b) To express the equation 2z^4 - 5z^3 + 7z^2 - 5z + 2 = 0 in terms of cos(θ), we can substitute z with cos(θ) + i sin(θ):
2(cos(4θ) + i sin(4θ)) - 5(cos(3θ) + i sin(3θ)) + 7(cos(2θ) + i sin(2θ)) - 5(cos(θ) + i sin(θ)) + 2 = 0
Expanding the right hand side using the trigonometric identities, we get:
2 cos(4θ) - 5 cos(3θ) + 7 cos(2θ) - 5 cos(θ) + 2 = 0
Note that the real and imaginary parts are separate, so we can simplify this equation to a real equation by equating the real and imaginary parts to 0.
(c) To solve the equation 2 cos(4θ) - 5 cos(3θ) + 7 cos(2θ) - 5 cos(θ) + 2 = 0, we can use numerical methods or analytical methods such as the roots of unity.
Once the roots are found, they can be represented on an Argand diagram by plotting the real and imaginary parts of each root as a point in the complex plane. The magnitude of each point represents the magnitude of the complex number, and the argument (angle) represents the argument of the complex number.
the standard of living is too low for many individuals in teh unitd states the government should implements policies
The parameters that can help to raise the living standard are mentioned below.
What is living standard?Living standard is defined as the quality of housing, material comfort, and wealth experienced by an individual or group.
Given is that the standard of living is too low for many individuals in the united states.
The government can focus on the following factors -
Employment and working.Economic Opportunities.Political opportunities.School education.Health and medical care.Social Opportunities.Housing.Consumption.Therefore, the parameters that can help to raise the living standard are mentioned above.
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A grade distribution for a particular math class is shown below.
Grade distribution
Quizzes,
30%
Homework
15%
Test, 30%
Classwork
25%
According to the circle graph, what must be true?
O Tests are weighed the most when determining a grade.
O
Homework is worth twice as much as quizzes.
More than half the grade is based on tests and quizzes combined.
If someone never does their classwork it is possible for them to earn an 80 % in the class.
The statement is true; Tests are weighed the most when determining a grade.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given in the question that:
Grade distribution
Quizzes, 30%
Homework 15%
Test, 30%
Classwork 25%
The total giving 100%.
A particular student scored the following;
87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation
Calculating the percentages the student had for each
Exam total = 50 x 0.879 = 43.95% earned
Quiz = 30 x 0.778 = 23.34% earned
Home work = 15x 0.9 = 13.5% earned
Class participation = 5*1 = 5% earned
Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%
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Translate the sentence into a mathematical equation.
Power equals current times voltage.
Let P represent power, current, and V voltage. Write the equation.
P=
On solving the Power equals Current times voltage as an equation we get power is P = VI
What is equation?A mathematical equation is a fοrmula that joins twο statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. For instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is only οne variable, which also serves as the symbol. fοr instance, 2x – 4 = 2.
Given to write
Power equals current times voltage
in mathematical equation, i.e.
P = V × I
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what is 5x+3 Please HELP ME
Answer: I believe that the answer is 8x.
Step-by-step explanation:
My explanation is that since x equals a random value, we can still add 5 and 3 to get 8.
I hope this helps!
In the triangle below, WXY is a equilateral triangle and XZ and WY
In the given equilateral triangle XYZ the relation which is true is WX = 2WZ. So option C is correct.
What are properties of equilateral triangle?An equilateral triangle is a particular kind of triangle in which the lengths of the three sides are equal. These are a few of its main characteristics:
Congruent angles exist for all three: An equilateral triangle has 60 degrees for each angle.
The three parties all agree: The perimeter of an equilateral triangle is three times the length of any one side because each side is the same length.
For any side, the same line serves as the altitude, median, and angle bisector:
A line segment perpendicular to the other side and drawn from one vertex is the altitude. A line segment called the median is drawn from one vertex to the middle of the other side. The line segment known as the angle bisector divides the angle made up of two sides.
Given that,
The triangle XYZ,
It is known that,
All the sides in the equilateral triangle are equal,
So it can be written as,
⇒ WX = WY = XY
⇒ WY = 2WZ = 2ZY
Therefore,
⇒ WX = 2WZ
Hence, the correct relationship is WZ = 2WZ.
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Answer:
WX=2 times WZ
Step-by-step explanation:
i just took the quiz on apex
Write an inequality to represent the following: 75 less than a number x is greater than or equal to 420.
Answer: [tex]x-75\geq 420[/tex]
Step-by-step explanation:
... as it say...
Answer:
x -75 ⩾ 420
Step-by-step explanation:
we take away 75 from the value of X and compare it to 420 using the greater than or equal sign.
Out of 1000 students who appeared for C.A. Intermediate Examination, 750 failed in Math, 600 failed in Accounts and 600 failed in Costing, 450 failed in both Math & Accounts, 400 failed in both Math & Costing, 150 failed in both Accounts & Costing. The Students who failed in all the three Subjects were 75. Prove that the above data is not correct.
Yes, the data provided is not correct. This can be proven using the principle of inclusion-exclusion.
According to the given data, the total number of students who failed in Math is 750, the total number of students who failed in Accounts is 600, and the total number of students who failed in Costing is 600.
However, if we apply the principle of inclusion-exclusion, the total number of students who failed in at least one of the three subjects should be equal to the sum of the number of students who failed in each subject, minus the number of students who failed in two subjects, plus the number of students who failed in all three subjects.
Therefore, using this principle, we have:
750 + 600 + 600 - 450 - 400 + 75 = 975
This result shows that the number of students who failed in at least one of the three subjects is 975, which is greater than the total number of students who appeared for the examination (1000), which is not possible.
Therefore, the given data is not correct.
es-Ratios-
<
Question 12, 5.5.3
>
Caroline can sketch 6 cartoon strips in two hours. How long will it take her to
sketch 9 strips?
It would take Caro-line 3 hours to sketch 9 cartoon str-ips.
What is a ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
We are given that, Caro-line can sketch 6 car-toon str-ips in two hours.
And we are asked that how much time it would require for Caro-line to sketch 9 str-ips
Now let the time required be x
Hence, the ratio becomes
6/2=9/x
x= (9*2)/6
x= 3
Hence, It would take Caroline 3 hours to sketch 9 cartoon str-ips
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6. The third row of a stem-and-leaf chart appears as follows: 21 | 0 1 3 5 7 9. Assume whole
number values.
a. What is the "possible range" of the values in this row?
b. How many data values are in this row?
c. List the actual values in this row of data.
a. The possible range of values in this row is from 210 to 219, inclusive.
To see why, note that the stem value is 21, so each leaf represents a number that should be added to 21. The smallest possible value is when the leaf is 0, which gives 21 + 0 = 210. The largest possible value is when the leaf is 9, which gives 21 + 9 = 219.
b. There are 6 data values in this row.
c. The actual values in this row are 210, 211, 213, 215, 217, 219.
What is leaf?In statistics, a leaf is the last digit or digits of a data point in a stem-and-leaf plot. A stem-and-leaf plot is a graphical display of data that shows the distribution of values by separating each value into two parts: a stem, which consists of the leading digits of the value, and a leaf, which consists of the final digit or digits of the value. The stem values are listed in a vertical column, and the leaves are listed in a row next to the corresponding stem. This type of plot allows us to see the shape of the data and the distribution of values within it.
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What is the equation of a cubic function whose roots are 4,3 and -3 and goes through the point (2,20)
Write answer in the form
Y=a(x-x1)(x-x2)(x-x3)
The equation of the cubic function is 2( x-4) (x-3) x+3)
What is cubic function?A cubic function is a polynomial function of degree 3 and is of the form f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are real numbers and a ≠ 0.
The equation of a cubic function is given as;
x³-(a+b+c) x² + ( ab+bc+ca) x + abc
where a,b,c are the root of the cubic function
a = 4, b = 3 and c= -3
a+b+c = 4+3-3 = 4
ab = 4×3 = 12
bc = -3×3 = -9
ca = -3×4 = -12
ab+bc+ca = 12-9-12 = -9
abc = 4×3×-3 = -36
therefore;
x³-( 4)x² + ( -9)x -36
x³-4x²-9x -36
therefore y = a( x-4) (x-3) x+3)
at point (2,20)
substitute x by2 and y by 20
20 = a( -2) (-1) (5)
20 = a10
a = 20/10
a= 2
therefore the equation of the cubic function is
2( x-4) (x-3) x+3)
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Rewrite the equation in Ax+By=C form
y=(1/3)x+3
To rewrite the equation in Ax + By = C form, we need to rearrange it so that the x and y terms are on the same side of the equation and the constant is on the other side and the equation become x + 3y = 9.
What is Equation?
An equation is a mathematical statement that shows the equality of two expressions or values. It typically contains one or more variables and an equal sign, which indicates that the expressions on either side of the equal sign have the same value. Equations can be used to represent various relationships between different mathematical objects and are used extensively in many fields of mathematics, science, engineering, and other disciplines. Equations can be solved to find the values of the variables that make the equation true, which is often the goal of many mathematical problems.
To rewrite the equation in Ax + By = C form, we need to rearrange it so that the x and y terms are on the same side of the equation and the constant is on the other side.
Starting with:
y = (1/3)x + 3
We can multiply both sides by 3 to eliminate the fraction:
3y = x + 9
Now we can rearrange to get the x and y terms on the left side:
-x + 3y = 9
So the equation in Ax + By = C form is:
x + 3y = 9
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graph the function f (x) = 3 cos (x) -4
Answer: DESMOS
Step-by-step explanation:
Your OHVA teacher reminded you in class to use DESMOS to see the graph and then sketch it on your test...
Express the integral f(x, y, z) dV E as an iterated integral in six different ways, where E is the solid bounded by the given surfaces. Y = x2, z = 0, y + 4z = 16
The integral f(x, y, z) dV E as an iterated integral can be expressed in six different ways, where E is the solid bounded by the given surfaces.
To express the integral as an iterated integral, we need to determine the limits of integration for each variable.
First, we can find the limits of integration for z The plane z = 0 is the xy-plane, and the plane y + 4z = 16 can be rewritten as z = (16 - y)/4. So the limits of integration for z are 0 to (16 - y)/4.
Next, we can find the limits of integration for y The surface y = x^2 bounds the solid from below in the y direction, and the plane y + 4z = 16 bounds the solid from above in the y direction. So the limits of integration for y are x^2 to 16 - 4z.
Finally, we can find the limits of integration for x There are no explicit surfaces that bound the solid in the x direction, so we can use the limits of integration for y to determine the limits of integration for x.
With these limits of integration, we can express the integral in six different ways over dz dy dx:
∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫x^2^(16 - 4z) ∫0^g(x, y) f(x, y, z) dz dy dx
where g(x, y) = (16 - y)/4
∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^16-4z ∫0^g(x, y) f(x, y, z) dz dx dy
where g(x, y) = (16 - y)/4
∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^g(x, y) ∫0^(16 - 4z) f(x, y, z) dz dy dx
where g(x, y) = 16 - 4z
∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^g(x, y) f(x, y, z) dy dx dz
where g(x, y) = (16 - 4z)
∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫0^(16 - 4z) ∫y^(1/2)^4 f(x, y, z) dy dz dx
∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^(16 - 4z) f(x, y, z) dz dy dx
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Question 2
1 p
A recipe calls for butter and sugar in the ratio 3:5. If you're using 9 cups of
blutter, how many cups of sugar should you use?
Answer:
15 cups
Step-by-step explanation:
So we have a ratio, butter:sugar. This ratio is given as 3:5, or 3 parts to 5 parts. Basically, every 3 cups of butter you use, you use 5 cups of sugar.
In order to calculate this, we simply need to divide the amount of butter being used by 3, and then multiply that by 5. This way, we are figuring out how much a singular "part" is in this situation, and then multiplying that by 5 for the 5 parts sugar.
9/3 = 3
3*5 = 15
Therefore, you have 15 cups of sugar.