$90/10 = 9
$160/20 = 8
$80/10 = 10
$120/20 = 6
The package that has the lowest ratio cost to number of lessons is $120 for 20 lessons.
Hope this Helps!!
The package with the lowest ratio of cost to number of lessons is the $120 for 20 lessons option, calculating to a cost of $6 per lesson, which is the most cost-effective option.
To find this, we calculate the cost per lesson for each package by dividing the total cost by the number of lessons.
For $90 for 10 lessons: $90 / 10 = $9 per lessonFor $160 for 20 lessons: $160 / 20 = $8 per lessonFor $80 for 10 lessons: $80 / 10 = $8 per lessonFor $120 for 20 lessons: $120 / 20 = $6 per lessonTherefore, the package with the lowest ratio of cost to number of lessons is $120 for 20 lessons, with a cost of $6 per lesson.
(45.22 – 73.91) – |65.85 – 79.15|
A.
-47.41
B.
-41.99
C.
40.18
D.
45.45
B. -41.99 is your answer.
Hope this helps & good luck. :)
Answer:
B. -41.99
Step-by-step explanation:
Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to find a right triangle with leg lengths of 16 and an odd number. Show all of your work for full credit.
First of all, let me break down the formula: [tex] x^2-y^2,\ 2xy,\ x^2+y^2 [/tex] is always a Pythagorean triple because you have
[tex] (x^2-y^2)^2+(2xy)^2 = x^4-2x^2y^2+y^4+4x^2y^2 = x^4+2x^2y^2+y^4 = (x^2+y^2)^2 [/tex]
So, for any [tex] x,y>0 [/tex] you can choose (let's suppose [tex] x>y [/tex]), these three numbers will always fall in the form [tex] a^2+b^2=c^2 [/tex], which is also the rule that works for right triangles. So, every time you choose two numbers [tex] x,y>0 [/tex], the legs will be [tex] x^2-y^2[/tex] and [tex] 2xy[/tex], while the hypotenuse will be [tex]x^2+y^2 [/tex].
We have to find a right triangles with legs 16 and an odd number. Well, the legs in the triple we are given are [tex] x^2-y^2[/tex] and [tex] 2xy[/tex], so we want one of this to be 16, and the other to be odd. But [tex] 2xy[/tex] can't be odd, because it has a 2 factor in it. So, it must be 16: we have
[tex] 2xy=16 \iff xy=8 [/tex]
The only ways we can choose two numbers [tex] x>y>0 [/tex] such that their product is 8 are:
[tex] x=8,\ y=1,\quad x=4,\ y=2 [/tex]
In the first case, the legs are
[tex] x^2-y^2 = 64-1 = 63,\ 2xy = 16 [/tex]
In the second case, the legs are
[tex] x^2-y^2 = 16-4 = 12,\ 2xy = 16 [/tex]
In this case both legs are even, so the only good choice is [tex] x=8,\ y=1[/tex]
So, the triangle we're working with has legs
[tex] x^2-y^2 = 64-1 = 63,\ 2xy = 16 [/tex]
and hypotenuse
[tex] x^2+y^2 = 64+1 = 65 [/tex]
The Pythagorean triple with leg lengths of 16 and an odd number is found by using the formulas x² - y², 2xy, and x² + y², taking x as an even integer. This provides us the a triple (3, 4, 5) which, after scaling by a factor of 4, gives us a right triangle with sides 12, 16 and 20.
Explanation:In order to find a Pythagorean triple whose leg lengths are 16 and an odd number, we'll use the Pythagorean triple formulas x² - y², 2xy, and x² + y², where x and y are integers. Considering one leg length is 16, which is even, the other leg should be an odd number. As for the expression 2xy to be even, either x or y should be an even integer of their own. Thus, let's take x to be an even integer, namely 4, which will, in turn, give us the values as 2² - 1² = 3 and 2² + 1² = 5. Hence, the Pythagorean triple is (3, 4, 5) which gives us the lengths in a 1:1 ratio. Therefore, to find a right triangle with legs 16 and odd number, we just multiply each length by 4 to get (12, 16, 20).
Learn more about Pythagorean triples here:https://brainly.com/question/31900595
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please help meeeeeee. image attached
The midpoint between -4 and 8 is answer B) 2
Suppose y varies directly as x, and that y = 5a when x = a. Then, when x = 3a + 2, what will the value of y be?
Hey there!!
Direct variation :
y = kx
( k is the constant )
And given : y = 5a when x = a
y = 5a can be written as y = 5x
Now we know 5 is the constant.
When x = 3a + 2 what is the value of y?
y = kx
y = 5 ( 3a + 2 )
y = 15a + 10
Hope my answer helps!!
Elise has budgeted $800 in her checking account to spend during the summer for entertainment. She would like to have at least $200 available at the end of summer. If Elise withdraws $50 per week, which inequality could she use to determine the greatest number of weekly withdrawals (w) she can make without exceeding her budget?
A) 200 + 50w > 800
B) 800 − 50w ≥ 200
C) 800 + 50w ≥ 200
D) 800 − 50w > 200
The answer is B because you are takin away $50 a week. $200 is what she wants to have at the end off the summer. So that automaticly means it is ≥ 200. She is TAKING AWAY $50 a week. Meaning - 50w ≥ 200. Finally she has $800 to begin with. So, 800 - 50w ≥ 200.
Sorry if l am not very well at explaining this kind of stuff. Let me know if you need anymore help!!
1.Consider the average speed of a runner who jogs around a track four times. The distance (400m) remains constant for each lap. However, each lap is run 5 seconds slower than the first. The time for each lap increases. The average speed for each lap ______________. This is an example of a(n) _____________ relationship.
A) increases, direct
B) decreases, direct
C) increases, inverse
D) decreases, inverse
Larry and Balky set up an experiment to analyze the motion of a marble as it rolled down an incline. They started the marble at the top of the ramp and set up photogates to collect data as the marble rolled down the ramp.
Which graph format will allow Larry and Balky to calculate instantaneous accleration from the slope of the graph?
A) Velocity on the y-axis, time on the x-axis
B) Distance on the y-axis, time on the x-axis
C) Time on the x-axis, distance on the y-axis
D) Velocity on the y-axis, distance on the x-axis
Tim drives to his brother Casey's house. Given the distance travelled and the time spent, what can Tim calculate about his trip?
A) acceleration
B) density
C) force
D) velocity
Car A travels from New York to Miami at 25 m/s. Car B travels from New York to Chicago, also at 25 m/s.
Car A and Car B have ___________ speeds and ____________ velocities.
A) equal, equal
B) equal, different
C) different, equal
D) different, different
28)
While Bob is demonstrating the gravitational force on falling objects to his class, he drops an 1.0 lb bag of feathers from the top of the science building. Determine the distance the bag has traveled after falling for 1.5 seconds assuming it has reach free fall and given the gravitational acceleration of 9.8 m/sec2.
A) 7.4 m
B) 11 m
C) 15 m
D) 22 m
29)
A boat is travelling down stream in a river at 20 m/s south. A passenger on the boat walks toward the back of the boat at 10 m/s north. Relative to the ground, at what velocity is the passenger moving?
A) 10 m/s north
B) 10 m/s south
C) 30 m/s north
D) 30 m/s south
Sarah wanted to know the velocity of an airplane traveling from Houston to Dallas. After recording the distance (in miles) and time (in hours) it took to travel to Dallas, what other measurement does Sarah need to determine the airplanes velocity?
A) acceleration
B) direction
C) force
D) inertia
33)
If an object is said to be moving at 10 m/s due north. The measurement 10 m/s north would be best described as
A) a speed.
B) a velocity.
C) neither a speed or velocity.
D) either a speed or a velocity.
While performing an experiment, the student creating the data table is not sure if a measurement from the experiment is a vector or scalar. Which question should she ask to determine if a measurement is a vector or a scalar?
A) Is the measurement a rate?
B) Is the measurement in metric units?
C) Does the measurement include direction?
d) Does the measurement include magnitude?
1. D) decreases, inverse
The average speed for each lap is given by:
[tex]v=\frac{S}{t}[/tex]
where S is the length of the lap (400 m) while t is the time taken to complete the lap. Since the time t increases at each lap, we see from the formula that v, the speed, decreases at each lap. This is an example of inverse relationship: when one of the two quantities increases (the time), the other one decreases (the speed).
2. A) Velocity on the y-axis, time on the x-axis
Acceleration is defined as the change in velocity divided by the time taken:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
In a graph, the slope of a line is given by the increment in y divided by the increment in x:
[tex]s=\frac{\Delta y}{\Delta x}[/tex]
Therefore, if we put velocity on the y-axis and time on the x-axis, we immediately see that the acceleration corresponds to the slope of the curve.
3. D) velocity
In fact, velocity consists of 1) speed and 2) direction. The speed can be calculated as:
[tex]v=\frac{S}{t}[/tex]
where S is the distance covered and t the time taken. So, by knowing these two quantities, Tim can calculate the speed of the trip. Tim also knows the direction of motion, so he can determine the velocity of the trip.
4. B) equal, different
The difference between speed and velocity is simple: speed is a scalar, and it is just the magnitude of the velocity, so "how fast" is the object moving, while velocity takes also into account the direction of motion, so it is a vector.
Therefore: the two cars have same speed (25 m/s), but they have different velocities, since they are moving into different directions (car A is moving from NY to Miami, while car B is moving from NY to Chicago).
28. B) 11 m
The distance travelled by the bag in free fall is given by:
[tex]S=\frac{1}{2}at^2[/tex]
where [tex]a=9.8 m/s^2[/tex] is the acceleration of gravity and t=1.5 s is the time. Replacing these numbers into the formula, we find
[tex]S=\frac{1}{2}(9.8 m/s^2)(1.5 s)^2 =11 m[/tex]
29. B) 10 m/s south
The boat is moving 20 m/s south, relative to the ground. The passenger is moving 10 m/s north, relative to the boat. Considering south as positive direction, the passenger's velocity relative to the ground is
[tex]v' = v_b + v_p = 20 m/s + (-10 m/s) = 10 m/s[/tex]
and the positive sign means it is due south.
30. B) direction
In fact, velocity is a vector, so it consists of a magnitude (the speed) and a direction. The speed can be determined by the distance and the time, in fact speed is defined as
[tex]v=\frac{d}{t}[/tex]
where d=distance and t=time; however, in order to determine velocity, we also need to know the direction of motion.
33. B) a velocity.
In fact, velocity is a vector, and it consists of a magnitude (the speed) and a direction. In this case, 10 m/s is the speed, while north is the direction.
34. C) Does the measurement include direction?
As stated in the previous question, a vector includes both magnitude and direction, while a scalar includes only a magnitude. Therefore, by asking if the measurement includes a direction, we are able to determine if the quantity is a vector or not.
Polygon H is a scaled copy of Polygon G using a scale factor of 1/4
Answer:
Consider polygon G as a triangle or any quadrilateral, pentagon, Hexagon, Heptagon, Decagon,....
Now Polygon H is scaled copy of Polygon G by a scale factor of 1/4, it means
If the length of sides of triangle are a,b,c then scaled copy of triangle by using
1/4 means the new sides of polygon which is triangle will be a/4,b/4,c/4.
For example consider a parallelogram having sides 12 cm and 8 cm respectively.The scaled copy of parallelogram by a scale factor of 1/4 will be of length 1/4×12,1/4×8 which is parallelogram having sides 3 cm and 2 cm respectively.
What is the product of 5 - 2i and 3 - 4i?
Answer in standard form
If standard form means a+bi, then the answer is 7-26i. this is because if you use the distributive property, you get 15-26i+8i^2. i^2 in this situation is equal to -1. Once you multiply that to 8, you add it to 15 to get7. In standard form, 8 would be the a and b would be the -26
Answer:
The correct answer is: 17 - i
Step-by-step explanation:
You must use the distributive property.
Which values of P and Q result in an equation with exactly one solution? Px+Q=-19x+18Px+Q=?19x+18
Answer: P = -19, Q = 18
Step-by-step explanation:
Px + Q = -19x + 18
Px = -19x Q = 18
÷x ÷x
P = -19
Factor the expression completely over the complex numbers.
x3−4x2+4x−16
Enter your answer in the box.
Answer:
The factor form of given expression is (x-4)(x-2i)(x+2i).
Step-by-step explanation:
The given expression is
[tex]x^3-4x^2+4x-16[/tex]
It can be written as
[tex]f(x)=x^3-4x^2+4x-16[/tex]
According to the rational root theorem, all possible rational roots are in the form of
[tex]\frac{a_0}{a_n}[/tex]
Where, a₀ is constant term and [tex]a_n[/tex] is leading coefficient.
[tex]f(4)=4^3-4(4)^2+4(4)-16=0[/tex]
Since the value of f(x) is 0 at x=4, therefore 4 is a root of the function and (x-4) is a factor of given expression.
Use synthetic method to find the remaining factors.
[tex](x^3-4x^2+4x-16)=(x-4)(x^2+4)[/tex]
[tex](x^3-4x^2+4x-16)=(x-4)(x^2-(2i)^2)[/tex]
[tex](x^3-4x^2+4x-16)=(x-4)(x-2i)(x+2i)[/tex]
Therefore the factor form of given expression is (x-4)(x-2i)(x+2i).
Answer:
(x-4) (x-2i) (x+2i)
Step-by-step explanation:
x^3−4x^2+4x−16
I will factor by grouping
x^3−4x^2+ 4x−16
The first group is the first 2 terms. I can factor out an x^2
x^2 (x-4) + 4x-16
The second group I can factor out a 4
x^2 (x-4) + 4(x-4)
Now I can factor out (x-4)
(x-4) (x^2 +4)
We know that x^2 + 4 factors into +2i and -2i because
(a^2 -b^2) = (a-b) (a+b) but we have (a^2 + b^2) = (a-bi) (a+bi)
(x-4) (x-2i) (x+2i)
PLEASE HURRY IM TIMED!!!
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L=10log l/l0, wherel0 =10^-12 and is the least intense sound a human ear can hear. Brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. The sound intensity level that Brandon can hear is 10-10. Ahmad, Brandon’s neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. How does Brandon’s sound intensity level compare to Ahmad’s?
Answer-
A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.
Solution-
Given that, loudness measured in dB is
[tex]L=10\log \frac{I}{I_0}[/tex]
Where,
I = Sound intensity,
I₀ = 10⁻¹² and is the least intense sound a human ear can hear
Given in the question,
I₁ = Intensity at Brandon's = 10⁻¹⁰
I₂ = Intensity at Ahmad's = 10⁻⁴
Then,
[tex]L_1=10\log \frac{I_1}{I_0}=10\log \frac{10^{-10}}{10^{-12}}=10\log \frac{1}{10^{-2}}=10\log 10^{2}=2\times10\log 10=20[/tex]
[tex]L_2=10\log \frac{I_2}{I_0}=10\log \frac{10^{-4}}{10^{-12}}=10\log \frac{1}{10^{-8}}=10\log 10^{8}=8\times10\log 10=80[/tex]
[tex]\therefore \frac{L_1}{L_2} =\frac{20}{80} =\frac{1}{4}[/tex]
Answer:
a
Step-by-step explanation:
In one year, a company has a profit of −$2 million. In the next year, the company has a profit of $7 million. How much more profit did the company make the second year?
Suppose the function, g(x), is used to model the height ,y, of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground. Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds. What would be an appropriate domain for g(x)?
A. 0<=x<=2.2
B. -2.2<=x<=2.2
C. 0<=x<=4.4
D. 0<=x<=15
Answer:
The correct option is C.
Step-by-step explanation:
The height of the ball is defined by a parabolic function.
Let the equation of the parabola is
[tex]f(x)=a(x-h)^2+k[/tex]
Where, (h,k) is the vertex and a is stretch factor.
The maximum height of the ball is 15 feet in 2.2 seconds. So, the vertex is (2.2, 15).
The equation of the parabola is
[tex]f(x)=a(x-2.2)^2+15[/tex]
The initial height of the ball is 0.
[tex]f(0)=a(0-2.2)^2+15[/tex]
[tex]0=a(-2.2)^2+15[/tex]
[tex]a=-\frac{15}{(2.2)^2}[/tex]
[tex]a=-3.1[/tex]
The equation of the parabola is
[tex]f(x)=-3.1(x-2.2)^2+15[/tex]
The function takes 2.2 seconds to reach at maximum height, so after that it will take 2.2 seconds to reach at growth again.
[tex]2.2+2.2=4.4[/tex]
The ball will reach the growth at x=4.4.
The height can not be negative, therefore the value of x lies between 0 to 4.4. The domain of the function is
[tex]0\leq x\leq 4.4[/tex]
Therefore option C is correct.
in which stage of the cell cycle do the nucleus and it’s contents divide
Answer: Mitosis.
Explanation:
There are two main methods for replication: mitosis and meiosis. Mitosis is, in simplest of words, when cells split apart.
Mitosis is the simple replication of the cell and its contents. It is a type of cell division where two new daughter cells are duplicated by the DNA (deoxyribonucleic acid). Each of the daughter cells formed have the same number and same kind of the chromosomes present in them as their parent nucleus.
Therefore, it can be said that the daughter cells are identical to their parents as they have the same genetic code.
Browning, montana, holds the u.S record for the greatest temperature drop in one day. On january 23, 1916, the temperature changed by an average of -4.17°f per hour. To the nearest degree, what was the total temperature change after 24 hours?
Answer:
Total temperature change 104.25 f.
Step-by-step explanation:
Average temperature change is calculated by dividing total temperature change by the total hours it took for the change.
We have been given the average temperature change.
We have to multiply average temperature change by the total number of hours it took for the temperature to change we get the total temperature change.
⇒ Total temperature change = Average temperature change * total hours
= [tex]-4.17*25[/tex]
=104.25 f
Which is the best definition for a rectangle? A. a quadrilateral that has at least 2 right angles B. a quadrilateral with only 1 pair of parallel sides C. a parallelogram with 4 equal sides D. a parallelogram with 4 right angles and opposite sides are equal
The correct answer is option D
Option D: A parallelogram with 4 right angles and opposite sides are equal best defines a rectangle because a rectangle must possess four right angles and opposite sides must be equal.
Can you help with this questions: 95% of what is 57?
A math teacher gave her students two tests. On the first test, 80% of the class passed the test, but only 30% of the class passed both tests.
What is the probability that a student passes the second test, given that they passed the first one?
0.256
0.375
0.500
0.625
Answer:
0.375 is answer
Step-by-step explanation:
Given that the math teacher gave her students two tests. On the first test, 80% of the class passed the test. But only 30% of the class passed both tests.
Let A - the students pass I test
B = students pass second test
Then P(A) = 80%=0.8 and P(AB) = 30% =0.30
Required probability =probability that a student passes the second test, given that they passed the first one
= P(B/A) = P(AB)/P(A)
= 0.30/0.80
=3/8
=0.375
Right answer is 0.375
The probability that a student passes the second test, given that they passed the first one, is 0.375.
The subject of this question is Mathematics, specifically focusing on the concept of conditional probability. The question asks about the probability that a student passes the second test, given that they passed the first one. Given that 80% of the class passed the first test and 30% passed both tests, we can use the formula for conditional probability P(B|A) = P(A and B) / P(A). Here, A represents passing the first test, and B represents passing the second test.
P(B|A) = P(A and B) / P(A) = 0.30 / 0.80 = 0.375.
Therefore, the probability that a student passes the second test, given that they passed the first one is 0.375.
Can you please find the sum of 599and 326.
State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)
x^2+3x-2/x-2
to find the vertical asymptote, set the denominator equal to zero and solve for x.
to find the horizontal asymptote, only evaluate the terms in the numerator and denominator that have the biggest exponent. Use the following rules (m is the exponent of the numerator and n is the exponent of the denominator):
m > n, then y = ∞ so there is no asymptote
m = n, then simplify the coefficients to determine the asumptote
m < n, then y = [tex]\frac{1}{infinity}[/tex] so the asymptote is y = 0
[tex]\frac{x^{2} + 3x - 2}{x - 2}[/tex]
m = 2, n = 1 ⇒ m > n so y = ∞
Answer: there is no horizontal asymptote
Which postulate or theorem can be used to prove that △ABD≅△CBD?
SSS Congruence Postulate
HL Congruence Theorem
ASA Congruence Postulate
SAS Congruence Postulate
Answer: SAS congruence postulate (choice D)
Note how AD = CD based on the double tickmarks along these segment lines. This is the first S in SAS. The A in SAS refers to the congruent angles ADB and BDC. The final S in SAS would be the shared side BD = BD. It's important to realize that the angles are between the pairs of congruent sides for each triangle. The order matters. If the angles weren't between the two sides, then you can't use SAS.
Answer: SAS Congruence Postulate
Step-by-step explanation:
SAS Congruence Postulate says that if two sides and a included angle of one triangle are congruent to corresponding two sides and a included angle of other triangle then the triangles are said to be congruent.In the given figure , in △ABD and △CBD
i.e. AD= CD [Given]
∠ADB = ∠BDC [Given]
BD = BD [Reflexive property]
∴ by SAS Congruence Postulate , we have
△ABD≅△CBD
Hence, the correct answer is SAS Congruence Postulate .
the perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length
(please explain how you did this or show) (thank you)
Let's call the width of our rectangle [tex]w[/tex] and the length [tex]l[/tex]. We can say [tex]l = w + 4[/tex], since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or [tex]P = 2l + 2w[/tex]. To solve this problem, we can substitute in the information we know, as shown below:
[tex]150 = 2(w + 4) + 2w[/tex]
[tex]150 = 4w + 8[/tex]
[tex]142 = 4w[/tex]
[tex]w = \frac{71}{2}[/tex]
Now, we can substitute in the width we found into the formula for length, which is [tex]l = w + 4[/tex]:
[tex]l = \frac{71}{2} + 4[/tex]
[tex]l = \frac{79}{2}[/tex]
The width of our rectangle is [tex]\boxed{\frac{71}{2} \,\, \textrm{cm}}[/tex] cm and the length of our rectangle is [tex]\boxed{\frac{79}{2} \,\, \textrm{cm}}[/tex]
Help will mark brainlyst
What are two straight lines that cross each other at a right angle? A. Curved B. Parallel C. Broken D. Perpendicular
help me pleaseeeee. picture attached.
The answer is B (-6,5) becuase C is located at (-3,4). -3 - 3 is -6... and 4 + 1 is 5
Solve each system using a matrix
4x-12y=-1
6x+4y=4
1 1 | 4
-2 -5 -11
ANSWER
[tex]x=\frac{1}{2}[/tex] and [tex]y=\frac{1}{4}[/tex]
EXPLANATION
Given;
[tex]4x-12y=1[/tex]
and
[tex]6x+4y=4[/tex]
The augmented matrix of the two linear equation is given by;
[tex]\left[\begin{array}{ccc}4&-12|&-1\\6\:&\:\:\:4|&4\end{array}\right][/tex]
We now perform row operations;
[tex]\frac{1}{4}\times R_1 \rightarrow R_1 [/tex].
This gives us
[tex]\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\6\:&\:\:\:4|&4\end{array}\right][/tex]
[tex]R_2-6R_1 \rightarrow R_2[/tex]
[tex]\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\0\:&\:\:\:22|&\frac{11}{2}\end{array}\right][/tex]
[tex]\frac{1}{22}R _2 \rightarrow R_2[/tex]
[tex]\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\0\:&\:\:\:1|&\frac{1}{4}\end{array}\right][/tex]
[tex]R_1+3R_2 \rightarrow R_1[/tex]
[tex]\left[\begin{array}{ccc}1&0|&\frac{1}{2}\\0\:&\:\:\:1|&\frac{1}{4}\end{array}\right][/tex]
Hence [tex]x=\frac{1}{2}[/tex] and [tex]y=\frac{1}{4}[/tex]
3 1/5 x 7 1/4 in simplest form
a.22
b.10 1/9
c.21 1/20
d.23 1/5
Answer:
We have
(16/5)x(29/4) = (16x29)/(5x4) = 464/20 = 116/5 = 23 1/5;
The correct answer is d. 23 1/5;
Step-by-step explanation:
the set of ordered pairs in the mapping below can be described as which of the following?
a) both a relation and a function
b) a function only
c) a relation only
d) neither a relation or a function
The set of ordered pairs in the mapping can be described as both a relation and a function.
Explanation:The set of ordered pairs in the mapping can be described as a relation. A relation is a set of ordered pairs where one element from the first set is related to an element in the second set. In this mapping, each input has a corresponding output.
To determine if the set of ordered pairs is a function, we need to check if each input has only one corresponding output. If this is true, then it is a function. In this case, if each input in the mapping has a unique output, then it is both a relation and a function (a) both a relation and a function).
Learn more about relation and function here:
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What is the value of x?
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x =
one angle is 3x-3
another angle is 6(x-10)
Both angles are vertically opposite angles
Vertically opposite angles are always equal
So we equation both the angles and solve for x
3x - 3= 6(x-10)
3x - 3 = 6x - 60
Subtract 6x from both sides
-3x - 3 = -60
Add 3 on both sides
-3x = -57
Divide by 3
x = 19
The value of x= 19
The miniature golf scores for 7 friends are 23, 30, 39, 32, 35, 14, and 23. What is the mean golf score for this group of friends?
a.25
b.30
c.28
d.23