Answer:
\(x=6\)
\(x=-6\)
Step-by-step explanation:
\(f(x)=x^2-36\)
\(x^2-36=0\)
\(x=36\)
x= ±√36
x= ±6
----------------------
hope it helps...
have a great day!!
Answer:
x=6
x=-6
Step-by-step explanation:
hope it helps..
Which of the following numbers is the SMALLEST?
(45 points)
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x \(10^{2}\)
Step-by-step explanation:
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
Hope this helps!!
- Brooklynn Deka
Don't forget to click the add button so we can be friends ( ´・・)ノ(._.`)
an experiment consists of tossing a fair die until a 6 occurs four times. what is the probability that the process ends after exactly stack exchange
The experiment will end after 4th time.
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, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .hence, after 4th trial experiment will stop.
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he line y =-x passes through the origin in the xy-plane, what is the measure of the angle that the line makes with the positive x-axis?
The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.
The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.
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A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M
The transformation that maps the pre-image to the image is given as follows:
Dilation.
How to identify the transformation?The four types of transformation listed in this problem cause these following changes:
Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.
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Answer:
dilation
Step-by-step explanation:
took the test
the school that krystal goes to is selling tickets to a spring musical.on the first day of tocket sales the school sold 10 adult tickets and 2 student tickets ofr a total of $118. The school took in $168 on the second day by selling 6 adult tickets and 12 student tickets. fond the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is $10 and the price of a student ticket is $9.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It usually contains variables, constants, and mathematical operations. The equal sign (=) is used to indicate that the expressions on both sides of the equation are equal.
Let "a" be the price of an adult ticket and "s" be the price of a student ticket. We can set up two equations based on the given information:
Equation 1: \(10a + 2s = 118\) (from the first day of ticket sales)
Equation 2: \(6a + 12s = 168\)(from the second day of ticket sales)
We can use the elimination method to solve for one of the variables. Let's multiply Equation 1 by -6 and add it to Equation 2:
\(-60a - 12s = -708\) (multiplying Equation 1 by -6)
\(6a + 12s = 168\)(Equation 2)
\(-54a = -540\)
Dividing both sides by -54 gives us:
a = 10
Now we can substitute a = 10 into either Equation 1 or Equation 2 to solve for s. Let's use Equation 1:
\(10a + 2s = 118\\10(10) + 2s = 118\\100 + 2s = 118\\2s = 18s = 9\)
Therefore, the price of an adult ticket is $10 and the price of a student ticket is $9.
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2) Calculate the perimeter and area of the following shapes. Put the answer in pi notation
and rounded to the nearest tenth.
Height of Square- 5ft
The area of the square is 25ft² and the perimeter is 20ft.
How to illustrate the area?It's important to note that the area of a square is calculated as:
= Side ²
The perimeter is calculated as:
= 4 × Side
From the information given, the side is 5ft. The area will be:.
= 5 × 5
= 25ft²
The perimeter will be:
= 4 × Sode
= 4 × 5ft.
= 20 feet
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Rewrite the equation so that it does not have fractions 2/3x-4=5/6
Answer:
.6x - 4 = .83
Step-by-step explanation:
Devise an algorithm that finds the sum of all integers in a list a₁,..., a, where n≥2.
To devise an algorithm that finds the sum of all integers in a list a₁,..., a, where n≥2, follow the steps below:STEP 1: START
STEP 2: Initialize the sum variable to zero.STEP 3: Read the input value n.STEP 4: Initialize the counter variable i to 1.STEP 5: Read the first element of the array a.STEP 6: Repeat the following steps n - 1 times:i. Add the element ai to the sum variable.ii. Read the next element of the array a.
STEP 7: Display the value of the sum variable.STEP 8: STOPThe algorithm in pseudocode form is:Algorithm to find the sum of all integers in a listInput: An array a of n integers where n≥2Output: The sum of all integers in the array aBEGINsum ← 0READ nFOR i ← 1 to nREAD aiIF i = 1 THENsum ← aiELSEsum ← sum + aiENDIFENDDISPLAY sumEND
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If m = 2n and n = 4 +p, which one of the following formulae is also
true?
m = 6p
m = 8+2p
m = 6+p
m = 4+2p
Answer:
The answer is m = 8 + 2p.
m = 2n
n = 4 + p
m = 2(4 + p) = 8 + 2p
Therefore, the only formula that is also true is m = 8 + 2p.
Step-by-step explanation:
Answer:
From the given equation-
4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)
⇒12p+8−30p+5=2p−16−42p+24
⇒−18p+13=−40p+8
⇒−18p+40p=8−13
⇒22p=−5
⇒p=
22
−5
.
Step-by-step explanation:
basicly what I said
Solve for x.
x - 10 = 6 + 5x
x = [?]
hello
the answer to the question is:
x - 10 = 6 + 5x ----> x - 5x = 6 + 10 ----> - 4x = 16
----> x = - 4
geometry:(
*image shown above*
Answer:
c = 44
Step-by-step explanation:
if a pyramid 20yd,18yd,18yd what is the surface area
15YD
Step-by-step explanation:
Help please!!! ASAPPPP
It should be noted that z^4 will be -32 in rectangular form.
How to calculate the valueBased on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:
z^n = r^n (cos nθ + i sin nθ)
In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):
|z| = √((-2)^2 + (-2)^2) = 2√2
arg(z) = arctan(-2/-2) = π/4
Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:
z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))
= 32 (cos π + i sin π)
= -32
Concludedly, z^4 resolved in rectangular form is -32.
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HELP ME PLS, WILL MARK AS BRAINLIEST
Answer:
2,562,300 Litres per year (Pls forgive me if I'm wrong, I was doing this quickly during class.)
Step-by-step explanation:
(Forgive the first part of the PDF, the answer is on the second page.)
-Hope this helped.
assume that T is a linear transformation. Find the standard matrix of T. 1. T:R? → R4,7(ei) = (3,1,3,1) and T (ez) = (-5,2,0,0), where ej = (1,0) and e2 = (0,1). 2. T:R3 → R2, T(ei) = (1,3), T(C2) = (4, -7), and T(ez) = (-5,4), where ej, ez, ez are the columns of the 3 x 3 identity matrix. ro: 3. T:R2 + R2 rotates points (about the origin) through 31/2 radians (counterclockwise). 4. T:R2 → R2 rotates points (about the origin) through --1/4 radians (clockwise). [Hint: T(ei) = (1/12, -1/72).] 5. T:R2 + R2 is a vertical shear transformation that maps e, into e, - 2e, but leaves the vector ez unchanged. 6. T:R2 + R2 is a horizontal shear transformation that leaves e, unchanged and maps e2 into e2 + 3ej.
The standard matrix of a linear transformation T can be found by using the formula A = [T(e1) T(e2) ... T(en)], where A is the standard matrix, e1, e2, ..., en are the columns of the identity matrix, and T(e1), T(e2), ..., T(en) are the images of the identity matrix columns under the transformation T.
1. For the first transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(3,1,3,1) (-5,2,0,0)] = [[3 -5] [1 2] [3 0] [1 0]]. Therefore, the standard matrix of T is [[3 -5] [1 2] [3 0] [1 0]].
2. For the second transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2) T(e3)] = [(1,3) (4,-7) (-5,4)] = [[1 4 -5] [3 -7 4]]. Therefore, the standard matrix of T is [[1 4 -5] [3 -7 4]].
3. For the third transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)], where cos(31/2) and sin(31/2) are the cosine and sine of 31/2 radians, respectively. Therefore, the standard matrix of T is [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)].
4. For the fourth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)], where cos(-1/4) and sin(-1/4) are the cosine and sine of -1/4 radians, respectively. Therefore, the standard matrix of T is [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)].
5. For the fifth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (2,1)] = [[1 2] [0 1]]. Therefore, the standard matrix of T is [[1 2] [0 1]].
6. For the sixth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (3,1)] = [[1 3] [0 1]]. Therefore, the standard matrix of T is [[1 3] [0 1]].
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Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P\)
Can someone help me?
Answer:
D) 40 degrees
Step-by-step explanation:
If ray BD bisects <ABC, then we have <ABD and <DBC. Both angles would be the same because the angle bisector theorem states an angle bisector is a ray in the interior of an angle forming two congruent angles. So, the answer is D) 40 degrees.
(c) Write
3"
9-1
as a power of 3
Let's first start by rewriting the denominator to have a base of 3.
9 = 3^2
9^(n - 1) = 3^2(n - 1)
Now that we have two terms with the same base, we can subtract the exponents.
3^n / 3^2(n - 1) = 3^[n - 2(n - 1)]
3^[n - 2n + 2]
3^[-n + 2]
3^-(n - 2)
Answer: 3^(-n + 2) OR 3^-(n - 2)
Hope this helps!
The grade point average6of 20 college enior elected at random from a graduating cla are a
The mean of grade-point averages of 20 college seniors selected at random from a graduating class is 2.50.
What is Mean?Mean is the average of all numbers in the data set. The average can be found by dividing the sum of all numbers in the observed data by the number of data observations. This helps researchers, statisticians, etc. to find mean values in datasets. The formula for calculating the
average is:
mean = sum of values / number of values
It is denoted by X-bar.
We have the grade-point averages of 20 college seniors. The the random sample of graduating class as :
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3
The Sum of grade point averages of 20 college seniors is calculated as follows,
∑ x = 2.2 + 1.6 + 2.7 + 2.2 + 2.4 + 2.6+ 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.3 + 3.3 + 2.8 + 2.0 + 3.2 + 2.1 + 2.0 + 2.9 + 1.3
∑x = 50
Total number of colleges , n = 20
Mean of distribution is calculated as follows,
X- bar = ∑x / n
where n is number of observations
X- bar = 50/20
=> X-bar = 2.5
Hence, required mean is 2.5 ..
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Complete question:
The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3 Calculate the mean?
Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. Kehlani invested $20,000 in an account paying an interest rate of 7&3/4 compounded quarterly. After 10 years, how much more money would Kehlani have in her account than Benjamin, to the nearest dollar?
If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.
How to find the compounded amount?Using this formula to find the compounded amount
A = P(1+r/n)^nt
Where
A = Amount
r =Interest rate.
n =Number of years
P =Principal
Benjamin
P = $20,000
r = 7 5/8% = 7.625% = 0.07625
n = 12 months
t = 10 years
Hence,
A = 20,000 (1+0.07625/12)^12× 10
A = 20,000 (1+0.006354)^120
A = 20,000 (1.006354)^120
A = $42,768.42
Kehlani
P = $20,000
r = 7 3/4% = 7.75= 0.0775
n = 4 months
t = 10 years
Hence,
A = 20,000 (1+0.0775/4)^4× 10
A = 20,000 (1+0.019375)^40
A = 20,000 (1.019375)^40
A = $43,091.25
Difference:
Difference = $43,091.25 - $42,768.42
Difference = $322.83
Therefore the amount of money is $322.83.
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Answer:322
Step-by-step explanation:
HELP ME PLEASE DUE NOW 4. From last night to this
morning, the temperature
rose 18°F. The temperature
this morning was 54°F.
Let
tequal the temperature last
night. Write and solve an
equation for the
temperature last night.
Answer:
36 degrees
Step-by-step explanation:
Ok so wouldnt you have to subtract 54 minus 18? and if so then
Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sin(x) on the interval [0, π] is rotated around the x-axis.
The approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.
To find the volume of the solid, we can use the disk method. Considering a small segment on the x-axis between x and x + Δx, the corresponding slice of the solid can be approximated as a disk with radius y = sin(x) and thickness Δx. The volume of this disk is given by V = π * (sin(x))^2 * Δx.
To find the total volume of the solid, we need to sum up the volumes of all the disks. We can do this by taking the limit as the thickness Δx approaches zero and integrating over the interval [0, π]. Thus, the volume can be calculated as V = ∫[0, π] π * (sin(x))^2 dx.
Using a calculator or integration software, we can evaluate this definite integral. The result is approximately 2.094 cubic units. Therefore, the approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.
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consider slotted aloha with nodes retrying with probability p a. recall that when there are n active nodes, the probability that any node has successful transmission is np(1 − p)n−1. find the value of p that maximizes this expression. show your work. b. using the value of p found in (a), find the efficiency of slotted aloha by letting n approach infinity.
The efficiency of slotted aloha by letting n approach infinity is 1/e and the maximum value of probability is 1/n.
Given that:
No. of nodes = (n)
The efficiency of slotted aloha by letting n approach infinity is E (p)= np(1-p)^(n-1).
By derivation,
E' (p) = n(1-p)^(n-1) - np(n-1)(1-p)^(n-2)
E' (p) = n(1-p)^(n-2) x [(1- p) - p(n-1)]
E' (p) = n(1-p)^(n-2) x [1-np]
Let E'(p) =0
i.e. Either, n(1-p)^(n-2) = 0
=> p = 1 (minima)
Or [1-np] = 0
=> p = 1/n (maxima)
So, for the value of p* = 1/n, we can maximize this expression.
When p = 1/n, the efficiency of slotted aloha is
E(p*) = n.1/n (1-1/n)^(n-1)
E(p*) = (1-1/n)^(n-1)
E(p*) = (1-1/n)^n/(1-1/n)
Since, \(\lim_{n \to \infty} (1-1/n) = 1\\\)
\(\lim_{n \to \infty} (1-1/n)^n = 1/e\)
So, when n approaches infinite,
Efficiency => \(\lim_{n \to \infty} E(p*) = 1/e\)
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what is the answer to this question ????????????
Answer:
umm
Step-by-step explanation:
in a marketing research study, one-half of a sample received a coupon in a direct mail; the other half did not. a researcher wants to compare money spent at the store between the two groups. what statistical technique should be used? group of answer choices one-sample t test paired-samples t test independent-samples t test pearson correlation coefficient
The appropriate statistical technique to compare money spent at the store between two groups in a marketing research study is the independent-samples t-test.
The independent-samples t-test is used to compare the means of two independent groups. In this case, the groups are the ones who received the coupon and the ones who did not, and they are independent because the participants were randomly assigned to each group.
The null hypothesis for the independent-samples t-test is that there is no difference between the means of the two groups. The alternative hypothesis is that there is a significant difference between the means of the two groups.
By conducting an independent-samples t-test on the data, the researcher can determine whether the difference in money spent at the store between the two groups is statistically significant or simply due to chance. If the p-value is less than the significance level (usually 0.05), the researcher can reject the null hypothesis and conclude that there is a significant difference between the two groups in terms of the money spent at the store.
Therefore, the independent-samples t-test is an appropriate statistical technique to compare the means of two independent groups and test for significant differences between them.
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The main bearing clearance (in mm) in a certain type of engine is a random variable with probability density function
The main bearing clearance (in mm) in a certain type of engine is a random variable with a probability density function (PDF).
A probability density function (PDF) is a mathematical function that describes the likelihood of a continuous random variable taking on a specific value within a given range. In this case, the main bearing clearance in a certain type of engine is a continuous random variable, and its PDF provides information about the probability distribution of the clearance values.
To fully describe the main bearing clearance's PDF, we would need the specific mathematical expression for the function. The PDF should satisfy two conditions: it must be non-negative for all values of the clearance, and the total area under the curve of the PDF must equal 1, as the probability of the clearance being within the entire possible range is 1 (100%).
Without the specific form of the PDF, we cannot provide further details, such as the mean, variance, or other properties of the main bearing clearance's probability distribution.
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Solve the equation-
200=16(6t-3)
Hi ;-)
200 = 16(6t - 3)
16 · 6t - 16 · 3 = 200
96t - 48 = 200 / + 48
96t = 248 / : 96
t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
200 = 16 (6t - 3)
Simplify the equation, then the value of the variable t will be
200 = 16 (6t - 3)
12.5 = 6t - 3
6t = 15.5
t = 2.58
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
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A box contains 5 red, 3 white, and 2 blue marbles. A sample of six marbles is drawn with replacement; that is, each marble is replaced before the next marble is drawn. Find the probability that: (a) 3 are red, 2 are white, 1 is blue, (b) 2 are red, 3 are white, 1 is blue, (e) 2 of each color appear
Answer:
i dont know but i'll try
Step-by-step explanation:
10-6=4
2 each color
i think because if you divide 4 divided by 2 is 2.
SO i thought wait oh no dont copy this rate it as bad as you want but im just a ---- grader
the null hypothesis is based on the idea that... group of answer choices there is no relationship between the variables there is a strong relationship between the variables there is a weak relationship between the variables none of these answers
The null hypothesis is based on the idea that there is no relationship between the variables.
What is null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable. The null hypothesis can be evaluated to determine whether or not there is a relationship between two measured phenomena, which makes it valuable. It can let the user know if the outcomes are the product of random chance or deliberate manipulation of a phenomenon.
The null hypothesis states that there is no relationship between two population parameters, i.e., an independent variable and a dependent variable. Therefore, the null hypothesis is based on the idea that there is no relationship between the variables.
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Buffalo Chicken Dip calls for ¾ cup of buffalo sauce and serves 12 people. If I am having 30 people over for a party, how much buffalo sauce will I need for my recipe?
Answer:
15/8 cup or \(1\frac{7}{8}\) cup
Step-by-step explanation:
3/4 = 0.75
Ratios:
\(\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8\)
Answer:
\(\frac{15}{8}\) cup
This can also be expressed as the following:
\(1\frac{7}{8}\) cup
Step-by-step explanation:
This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,
\(sauce (cups) : people (number)\)
Substitute in the given values, since one knows the units, it is unnecessary to write it,
\(\frac{3}{4}:12\)
In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.
\(\frac{3}{4} : 12 = x : 30\)
Use cross products to simplify,
\((12)(x)=(\frac{3}{4})(30)\)
Simplify,
\(12x=\frac{45}{2}\)
Inverse operations,
\(12x = \frac{45}{2}\)
Multiply both sides by (2)
\(24x=45\)
Divide both sides by (24),
\(x=\frac{45}{24}\)
Simplify,
\(x=\frac{15}{8}\)