For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
please help me with vivid explanation
Answer:
864 m²
Step-by-step explanation:
First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
Let A' be the total area of the four small rectangles and A" the area of one small rectangle A' = 4 A" A' = 4 [([tex]\frac{120-4}{2}[/tex])*([tex]\frac{100-4}{2}[/tex])] A' = 4*58*48A' = 11136 m² Substract the A' from A to get the area of the roadLet A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
Find the measure of b.
The lines around the angle is saying that they are corresponding. so the angle of b is 25
Answer:
[tex]\boxed{<b = 25}[/tex]
Step-by-step explanation:
Two angles in the same sector/segment have congruent measures.
So, <b = 25 (These are the two angles in the same segment).
HELP ME PLZ NEED ANSWER Which relation is a function? A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin. A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shaped graph with arrows on its ends. The U shape opens upwards and the bottom of the U shape is located at the origin. Coordinate grid with graph of a vertical line at x equals 3.
Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.
Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.
Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.
Hence, the correct answer would be option (A).
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(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
solve by factoring x^2+5x-14=0
Answer: {-7, 2}
Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.
Notice that the left side of the equation is a trinomial in a special
form that can be factored as he product of two binomials.
As our first term for each binomial, we have the factors of x², x · x
and as the second term, we have the factors of -14 that add to 5.
In this case, the factors are +7 and -2.
So we have (x + 7)(x - 2) = 0.
If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.
Solving for x in each equation, we have x = -7 or x = 2.
We can write our answer as the solution set {-7, 2}.
The solution of quadratic equation is,
⇒ x = - 7, 2
We have to given that,
An equation is,
⇒ x² + 5x - 14 = 0
We can factorized the above quadratic equation as,
⇒ x² + 5x - 14 = 0
⇒ x² + (7 - 2)x - 14 = 0
⇒ x² + 7x - 2x - 14 = 0
⇒ x (x + 7) - 2 (x + 7) = 0
⇒ (x + 7) (x - 2) = 0
This gives,
x + 7 = 0
x = - 7
x - 2 = 0
x = 2
Therefore, The solution of quadratic equation is,
⇒ x = - 7, 2
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what is the rational exponent from of this expression
Answer:
Step-by-step explanation:
√(c^5) is equivalent to c^(5/2) (the last answer choice).
Find the indicated probability. Round to the nearest thousandth.
A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find
the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
0.985
0.996
0.550
0.143
Answer:
[tex]P(At\ least\ 1) = 0.985[/tex]
Step-by-step explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p
[tex]p = 55\%[/tex]
Convert to decimal
[tex]p = 0.55[/tex]
Let the proportion of students that do not find job be represented with q
Such that;
[tex]p + q = 1[/tex]
Make q the subject of formula
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.55[/tex]
[tex]q = 0.45[/tex]
In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;
[tex]P(none) + P(At\ least\ 1) = 1[/tex]
Solving for the probability of none getting a job using binomial expansion
[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]
Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes
[tex]P(none) = ^nC_0p^nq^0[/tex]
Substitute 7 for n
[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]
[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]
[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]
[tex]P(none) = 1 * p^7 * q^0[/tex]
Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]
[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]
[tex]P(none) = 0.01522435234[/tex]
Recall that
[tex]P(none) + P(At\ least\ 1) = 1[/tex]
Substitute [tex]P(none) = 0.01522435234[/tex]
[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]
Make P(At least 1) the subject of formula
[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]
[tex]P(At\ least\ 1) = 0.98477564766[/tex]
[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)
What is the probability of rolling a 2 and then rolling a 5 on two consecutive rolls of a fair 6-sided die?
i kinda need quick answer pls tyy
Answer:
1/36
Step-by-step explanation:
1/6x1/6=1/36
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
3^2x3^5x3^7 In index form
Answer:
[tex]3^{14}[/tex]
Step-by-step explanation:
Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]
To simplify the expression, we apply the addition law of indices.
Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:
[tex]a^x \times a^y=a^{x+y}[/tex]
Therefore, since we have the number 3 as the same base in all the terms:
[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]
A computer tallied the time to work for 200 days and found it reasonable to normal curve. The main Thomas 35 minutes, and the standard deviation with six minutes. For the 200 workday experiment, find the percent of tonic me to work more than 41 minutes.
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = the time taken by computer to work for 200 days.
So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 35 minutes
[tex]\sigma[/tex] = standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)
= 1 - 0.84134 = 0.15866
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
what is 149 scaled down by a factor of 1/10
Answer:
14.9
Step-by-step explanation:
Given
149
Required
Scale factor of ⅒
The result of a scale factor is the product of an expression by its scale factor.
The result of 149 scale factor of 10 is the product of 149 by 10
In other words;
149 * ⅒
= (149 * 1)/10
= (149)/10
Remove bracket
= 149/10
= 14.9
Hence, 149 scaled down by a factor of ⅒ is 14.9
John is throwing a dart at a dar board. It has 5 rings surrounding the bull’s-eye. The bull’s-eye is 6 cm. The first rim surrounding the bull’s-eye is 2 cm more than the bull’s-eye region and every other ring is 3 cm more than the preceding ring. What is the probability of John hitting a bull’s-eye if he cannot miss the dart board and is randomly aiming at?
A. 3/10
B. 6/13
C. 9/100
D. 36/169
Answer:
3/10
Step-by-step explanation:
The first entry of the resulting matrix is:
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1 \times 1&2 \times 1\\3 \times 5&4 \times 5 \end{array}\right][/tex]
You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (km) Number of animals seen Rivers Edge 3 8 Wooded Marsh 8 20 Canyon Creek 15 35 Order your hikes by number of animals seen per kilometer from least to greatest.
Answer:
The hikes ordered from the least to the greatest number of animals seen per kilometre
Canyon Creek < Wooded Marsh < Rivers Edge
2.33 < 2.50 < 2.67
Step-by-step explanation:
Question Properly written
You went on three hikes. On each hike, you saw a different number of animals:
Hike | Length of hike (km) | Number of animals seen
Rivers Edge | 3 | 8
Wooded Marsh | 8 | 20
Canyon Creek | 15 | 35
Order your hikes by number of animals seen per kilometer from least to greatest.
Solution
Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)
Rivers Edge
Number of animals seen = 8
Length of hike in kilometres = 3
Number of animals seen per kilometre = (8/3) = 2.67
Wooded Marsh
Number of animals seen = 20
Length of hike in kilometres = 8
Number of animals seen per kilometre = (20/8) = 2.50
Canyon Creek
Number of animals seen = 35
Length of hike in kilometres = 15
Number of animals seen per kilometre = (35/15) = 2.33
Ordering the hikes by number of animals seen per kilometer from least to greatest.
2.33 < 2.50 < 2.67
Canyon Creek < Wooded Marsh < Rivers Edge
Hope this Helps!!!
If x2 + 6x + 8 = 0 , then x could equal which of the following?
Answer:
x = -4 , -2
Step-by-step explanation:
I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.
In order to do that, you would have to find the multiples of 1 (from x) and 8.
We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.
After doing that, you have to put them like this:
(x + 4)(x + 2)
This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.
(x + 4)(x + 2)=0
Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)
Answer:
x is -2 and -4
a food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. complete the table to analyze the data and anser the questions
Answer:
That right, no picture, no answer
Step-by-step explanation:
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Bob makes 15 dollars an hour mowing lawns.
The graph would be a straight line with a slope of 15.
Step-by-step explanation:
The Constant of Proportionality is y=kx, where k is the constant. A real world example would be:
Bob makes 15 dollars an hour mowing lawns. (y=15x)
The graph would be a straight line with a slope of 15.
Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4
Answer:
(x, y, z) = (-2, 4, 0)
Step-by-step explanation:
Solving the last equation first, we have ...
2x = -4
x = -2 . . . . . divide by 2
__
Putting this in the first equation, we can write an expression for z:
-2 +y +z = 2
z = 4 -y . . . . . . . add 2-y
__
Putting this in the second equation, we have ...
4(-2) +5y +(4 -y) = 12
-4 +4y = 12
-1 + y = 3 . . . . . divide by 4
y = 4 . . . . . . . . add 1
__
Substituting this into the equation for z, we have ...
z = 4 - 4 = 0
The solution is (x, y, z) = (-2, 4, 0).
Answer:
X+y+z=2 equation 1
4x + 5y + z = 12 equation 2
2x = -4 equation 3
Step-by-step explanation:
step 1 :
from equation 3 : 2x = -4
x= -4/2 = -2
step 2:
sub value x = -2 in equation 1
y + z = 4 _______ equation 4
step 3:
sub value of x in equation 3
5y + z = 20 _________ equation 4
solve equation 3 and 4
y + z = 4
5y + z = 20 sign change
__(-)_________
-4y = -16
__________
y = 4
substitute x = -2 & y = 4 in equation 1
z = 0
Hence x = -2 , y = 4 & z = 0
8. After a certain transformation is applied to point (x,y) is moved to (y,-x).
Name the transformation.
Rotation
Translation
Reflection
Dilation
Answer:
Rotation
Step-by-step explanation:
when you rotate a point it swaps the numarical values x⇄y as well as in some cases it changes its the symbol from negative to positive depending on the quadrant, in this case, it started in quadrant one and ended in quadrant three.
1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.
Answer:
1. 600 tiles
2. $120
3. 50.3cm2
Step-by-step explanation:
1. 520 x 140/ 13 x 7
600 tiles
2. Since length is 3 x width, length is 360.
20=5
360= 360/20= 18= 18 x 5= 90
20=5
120= 120/20= 6= 6 x 5= 30
90 + 30= 120= $120
3. 22/7 x 5 x 5= 78.5
22/7 x 3 x 3= 28.2
78.5-28.2= 50.3= 50.3cm2
1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
p.m. and a standard deviation of 15 minutes. Find the probability that a randomly
arrival time will be after 4:45 p.m.
2. Using the data from question #1, what is the probability that a randomly
selected flight will arrive between 4:15 pm and 2:00 pm? *
3. Using the data from question #1, what is the probability of a randomly selected
flight arriving AFTER 5:00 pm? *
someone pls help
Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
795.800.913.789
seven hundred ninety-five billions eight hundred sixty millions, nine hundred thirteen thousands, seven hundred
eighty-nine
seven hundred and ninety-five billion, eight hundred and sixty million, nine hundred and thirteen thousand, seven
hundred and eighty-nine
seven hundred ninety-five billion eight hundred sixty million nine hundred thirteen thousand, seven hundred eighty.
nine
seven hundred ninety-five billion eight hundred six million nine hundred thirteen thousand, seven hundred eighty-nine
Submit
Reset
Answer:
seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine
help me i want to get this correct
Answer:
1/8
Step-by-step explanation:
Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 1, -2, 4, -8, ...? an = 1 · (-2)n - 1 an = -2 · 1n - 1 an = -8 · (-2)n - 1 an = 1 · 2n - 1
Answer:
[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1r^{n-1}[/tex]
We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]a_1=1,\ a_2=-2[/tex]
substitute:
[tex]r=\dfrac{-2}{1}=-2[/tex]
Substitute
[tex]a_1=1;\ r=-1[/tex]
to
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=1\cdot(-2)^{n-1}[/tex]
Answer:
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Step-by-step explanation:
Hi there!
Let's do it,
1)[tex]1,-2,4,-8[/tex]
First let's find the q, the common ratio by dividing the second term by the anterior one.
-2:1 =-2
4:-2=-2
So the common ratio is -2. Plugging in on the General formula:
[tex]a_{n}=a_{1}q^{n-1}[/tex]
[tex]a_{n}=1 (-2)^{n-1}[/tex]
From the set {20, 30, 35}, use substitution to determine which value of x makes the inequality true. x - 5 > 25 A. 30 B. 20 C. none of these D. 35
Answer:
D. 35
Step-by-step explanation:
20-5>25 = 20>25 incorrect
30-5>25 = 25>25 incorrect
35-5>25 = 20>25 correct
Can you guys please help me with this? It’s for tomorrow
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5
Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
Answer:
6x^2-6x+5
Step-by-step explanation:
please help.
create five word expressions that will need to be translated into an algebraic expression also provide a value for the variable mentioned in the expression.
Answer:
The answers are as follows.
Step-by-step explanation:
Expressions:
Product of 2 and x is 146 added with a number gives 14The product of six and a gives 1212 divided by y gives 26 subtract with a number and get 12Computation:
Product of 2 and x is 14
2(x) = 14
x = 7
6 added with a number gives 14
6+x = 14
x = 8
The product of six and a gives 12
6(a) = 12
a = 2
12 divided by y gives 2
12 / y = 2
y = 6
6 subtract from a number and get 12
x - 6 = 14
x = 20