Answer:
1 hour, 28 minutes, 15 seconds
Step-by-step explanation:
Ration of adults to children is 16to 10 40 adults
A relationship between two quantities that is typically stated as the product of their respective quotients.
The ratio of red to blue marbles, or 6:4, is, for instance, 6:4 if a box contains six red and four blue marbles. Decimal or percentage expressions of ratios are also possible. This implies that there would be 10 children for every 16 adults.
The number of children there would be for 40 adults can be calculated by dividing 40 by 16, then multiplying the result by 10.
40/16=2.5
2.5×10=25
25 kids.
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Given the relation R {(4,2), (3,6), (x,8), (1,4)} Which value of x would make this relation a function?
(1) 4
(2) 3
(3) 1
(4) 0
Answer:
SOLUTION
TO CHOOSE THE CORRECT
OPTION
Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function
(a) 8
(b) 6
(c) -3
(d) 1
CONCEPT TO BE IMPLEMENTED
FUNCTION
Let A and B are two non empty sets. A Mapping (function ) f from A to B is a rule that assigns to each element x of A a definite element y in B
EVALUATION
Here the given relation
R = {(6,4), (8,-1), (x,7), (-3,-6)}
Take A = {6,8,x,-3}
B={-6, -1, 4,7}
In order to satisfy all requirement for R to be mapping is R will have to assign to each element x of A a definite element y in B
Since R has mapped 6, 8, -3 already
So R can not map 6, 8, - 3 again
So R can not be any of 6, 8, - 3
.'. X = = 1
FINAL ANSWER
The correct option is (d) 1
1. . A relation R in the set of real numbers R defined as R = {(a,b): √a = b} is a
function or not. Justify
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2. Let R be a relation on a collection of sets defined as follows,
R={(A,B)|ACB}
Then pick out the correct statement(s).
(2y-1)+3y+5
please help
Answer:
5y + 4; y = -4/5
Step-by-step explanation:
combine like terms
add 2y+3y together, and -1+5
5y+4=0
-4 -4
5y= -4
/5 /5
y= -4/5
This season, the probability that the
Yankees will win a game is 0.6 and the
probability that the Yankees will score 5 or
more runs in a game is 0.61. The
probability that the Yankees win and score
5 or
more runs is 0.51. What is the
probability that the Yankees would score
fewer than
5 runs when they lose the
game? Round your answer to the nearest
thousandth.
Answer:
0.156
Step-by-step explanation:
P(A & B) = P(A) * P(B)
P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)
0.39 * 0.4 = 0.156
there are 248 students in a large-lecture history course. on the first exam, 12% got an A, 28% a B, 41% a C, 11% a D, and the rest failed. Based on these results, whats the probability that a randomly selected student will (a) Get better than a C on the second test? (b) Fail the second test? (c) Not get an A on the second test
Assuming that the scores on the first exam are a representation for the ones in the second exam, we will see that the probabilities are:
a) P = 40%b) P = 8%c) P = 88%How to get the probabilities?First we want to get the probability that a randomly selected student gets better than a C on the second test.
We assume the percentages for the first test can be applied for the second, so, the ones that got better than a C on the first exam are:
A: 12%
B: 28%
Then the probability is:
P( more than a C) = 12% + 28% = 40% (or 0.40 in actual probability notation)
b) Now we want to find the probability of fail.
The percentage that failed the first test is:
100% - 12% - 28% - 41% - 11% = 8%
So 8% of the students failed the first exam, this means that the probability that a randomly selected student fails the second exam is:
P = 8% or 0.8 in decimal notation.
C) 12% of the students tgot an A, so the probability that a randomly selected student does not get an A is:
P = 100% - 12% =88%
or 0.88 in decimal notation.
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-2(x-1)+4x=10
What is the answer to this question
Answer:
4
Step-by-step explanation:
to solve this equation you should add the values on the left side then divide 10 by whatever value you get
-2(x-1)+4x=10
-2x+2+4x=10
2x+2=10
2x=10-2
2x=8
x=4
Plot the image of point P under a translation by 4 units to the left and 3 units down.
We are given the following point:
[tex]P=(-2,-4)[/tex]The given transformation is the following:
[tex](x^{\prime},y^{\prime})=(x-4,y-3)[/tex]Replacing the values:
[tex]\begin{gathered} P^{\prime}=(-2-4,-4-3) \\ P^{\prime}=(-6,-7) \end{gathered}[/tex]Therefore, the image is (-6,-7)
If $2,000 is invested at 11% annual interest compounded quarterly, what is the account balance after 10 years, assuming no additional deposits or withdrawals are made?
Answer:
$5,919.75
Step-by-step explanation:
What is Annual Compound Interest?
Annual compound interest is represented by this formula:
[tex]A = P ( 1 + \frac{r}{n}) ^{(n)(t)}[/tex]
A= Final value (including interest)P = principal/original amount: $2000r = rate as a decimal: 0.11n= number of times compounded yearly: quarterly: 4t= numbers of years borrowed for: 10You have been giving all the information needed to solve this equation, so plug in what you have. and solve for A.
[tex]A = (2000)( 1 + \frac{0.11}{4} )^{(4)(10)}[/tex]
[tex]A = (2000) (1.0275)^{40}[/tex]
[tex]A = (2000) (2.9598739872)\\[/tex]
[tex]A = 5919.74797[/tex]
Round your answer to the nearest hundred, and the account balance after 10 years should be $5,919. 75
a student computes -8-2(-3) by writing -10(-3)=30 how would you help this student?
Answer:
-2
Step-by-step explanation:
You want to help a student evaluate -8-2(-3).
Order of operationsThe given expression consists of a sum of a number and a product. The first operation to be performed is to find the product:
-8-2(-3) = -8 +6
Then the sum can be performed:
-8 +6 = -2
The student should be reminded to identify the parts of the expression and use the order of operations to evaluate them.
Bernie is making wooden stools for a local charity. He has 12 1/2 feet of wood. The instructions call for 2 1/2 feet of wood to make two stools. Which of the following correctly shows the total number of complete stools that Bernie can make?
The most appropriate choice for fraction will be given by -
Bernie can make 10 stools
What is a fraction?
Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.
The upper part of fraction is called numerator and the lower part of fraction is called denominator.
[tex]2\frac{1}{2}[/tex] feet = [tex]\frac{5}{2}[/tex] feet of wood can be used to make 2 stools
1 feet of wood can be used to make [tex]2 \div \frac{5}{2}[/tex] stools
[tex]2 \times \frac{2}{5}[/tex] stools
[tex]\frac{4}{5}[/tex] stools
[tex]12\frac{1}{2} = \frac{25}{2}[/tex] feet of wood can be used to make [tex]\frac{4}{5} \times \frac{25}{2}[/tex] stools
= 10 stools
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Dion has a pizza with a diameter of 10 1/3 in. Is the square box song big enough to fit the pizza inside?
justify your answer
yes, the square box song big enough to fit the pizza inside.
what is square?
A square is a regular quadrilateral , which means that it has four equal sides and four equal angles.
we have that,
the diameter of the pizza is
D = 10 1/3in
the wide of the square box is
b=10.38in
we know that
for the pizza to fit inside the box ,it must be fulfilled that
D ≤ b
convert 10.38 in to fraction number
10.38 (100/100)= 1.038/100=519/50
convert 101/3 in to an improper fraction
10 1/3 = 10+3+1/3=31/3
multiply the diameter of the pizza by 50 both numerator and denominator =31+50/50+3= 1.550/150 in
multiply the wide of the box by 3 both numerator and denominator 1.550/150in ≤ 1.557 /150 in
therefore
the pizza fit inside the box .
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Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN
Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.
Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.
Since we see that P is a point on the perpendicular bisector, l, of MN, we have proven the required PM = PN by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .
How to Interpret the Perpendicular Bisector?We are given :
P is a point on the perpendicular bisector, l, of MN.
Now, we want to prove the assertion that PM = PN
A Reflection is defined as a transformation in which a given figure is the mirror image of the other. This means that every point on the new image is a mirror reflection of itself .
From the question, we can say that by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .
The perpendicular bisector, l is acting as a Line of symmetry which is also called axis of reflection.
Now, due to the fact that reflections preserve lengths in transformation, it means that we have; PM = PN.
Therefore, we see that point N is the image of M .
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Answer:
Point M
Step-by-step explanation:
Which pair of similar triangles can be mapped from one to the other by dilation with scale 3 and center of dilation (0,0) followed by the translation (x,y) (x -6, y -6)
Triangles P is equal to triangle v and triangles A is equal to triangle J.
Consider the unit of the scale on the X-axis is 1 unit. and
Consider the unit at Y-axis is 1 unit.
Take a triangle p and measure each unit.
1/2 + 1/2 + 1/2 + 1 + 1 + 1 = 9/2
=4.2
Take a triangle V and measure each unit.
1/2 + 1/2 + 1/2 + 1 + 1 + 1 = 9/2
=4.2
∴ The calculation is too same.
Here, ΔP=ΔV
Take a triangle I and measure each unit.
unit of I is 1.
Take a triangle J and measure each unit.
unit of J is 1.
∴ ΔI=ΔJ
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Katie earns $549 each week working her full time job. Her employer has a 14.3% tax deduction on all monies earned each week. Calculate the tax deduction Katie paid for that week.
The tax deduction Katie paid for that week will be $78.5.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Katie earns $549 each week working her full-time job. Her employer has a 14.3% tax deduction on all monies earned each week.
The deduction will be calculated as follows:-
Deduction = ( 549 x 14.3 ) / 100
Deduction = 7850.7 / 100
Deduction = $78.50
Therefore, the tax deduction Katie paid for that week will be $78.5.
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18. Convert the following base-ten number to a number in the indicated base.
130 to base six
130=_____six
Please show work.
The result of converting the number 130 base 10 to the base six is [tex]334_{6}[/tex]
Given the number 130 base 10
Here we have use base conversion 130 base 10 to the number base six
.Here we have to follow 2 steps
In first step : Converting 130 to base 10
1 × [tex]10^{2}[/tex] = 100
3 × [tex]10^{1}[/tex] = 30
0 × [tex]10^{0}[/tex] = 0
Add of the result together
100 + 30 + 0 = [tex]130_{10}[/tex]
In second step : Converting [tex]130_{10}[/tex] to base 6
We can solve it by using the method
6 | 130
6 | 21 | 4
6 | 3 | 3
6 | 3 | 3
Then the result will be [tex]334_{6}[/tex]
Hence, the result of converting the number 130 base 10 to the base six is [tex]334_{6}[/tex]
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An election ballot asks voters to select five city commissioners from a group of eighteen candidates. In how many ways can this be done?
Number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.
As given in the question,
Total number of candidates = 18
An election ballot asks voters to select five city commissioners from 18 candidates
Number of ways to select 5 city commissioners from a group of 18 candidates
= ¹⁸C₅
= ( 18!) ) / (5!)(18 - 5)!
= (18!) / (5!)(13!)
= ( 18 ×17×16×15×14×13! ) / ( 5×4×3×2×1 )( 13! )
= 8568
Therefore, number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.
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Lines l and m are parallel. Which of the following pairs of angles are alternate interior angles?
The pairs of angles that are alternate interior angles will be angle 6 and angle 8.
What are alternate interior angles?When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.
Angles that are exterior to the lines, have different vertices, and sit on different sides of the transversal are referred to as alternate exterior angles. In other words, eight angles are created when a transversal intersects two parallel lines.
These van be illustrated in angle 6 and 8
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Lines l and m are parallel. Which of the following pairs of angles are alternate interior angles? ∠1 and ∠4 ∠2 and ∠3 ∠6 and ∠8
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 4 hours of work from
Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work
more than 20 hours per week and Anita cannot work more than 28 hours per week. If each mailbox sells for $15 and
each toy sells for $24, then how many of each should they make to maximize their revenue? What is their maximum
revenue?
Answer:
7 toys and 0 mail boxes
Step-by-step explanation:
Answer:
Given that:!
Carlo mailbox = 1
Anita mailbox = 3
Carlo toy = 1
Anita toy = 4
Carlo work = 7 hours per week
Anita work= 24 hours per week
mailbox sells = $8
toy sells $14 =
solution
we consider here number of mailboxes is m
and m≥0
and
number of toys is t
and t≥0
so we can say equation will be
1m + 1t ≤7
3m+ 4t≤ 2
solve these equation 1,2,3 and 4 in graph and we will get graph that is attach here
we get here are 4 corner that is
The corner points are: (0, 0), (7, 0), (4, 3), (0, 6)
so objective revenue function is
F(m, t) 8m + 14t =
put here all value of corner
F(0, 0) = $0
F(7, 0) = 7×8 = $56
F(4, 3) = 4×8+ 3×14= $74
F(0, 6) = 6×14 = $84
so here maximize the revenue they should make 6 toys
The maximum revenue is $84Are the lines created using the given points perpendicular?L1: (1,2), ( 3,1) and L2: (0,-1), (2,0)
Answer:
[tex]No,\text{ they are not}[/tex]Explanation:
To check for this, we have to get the slope of the two lines
The slope of a line can be calculated using the formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) are the coordinates of the first point and (x2,y2) are the coordinates of the second
Mathematically, we have the slope of the first as follows:
[tex]m\text{ = }\frac{1-2}{3-1}\text{ = -}\frac{1}{2}[/tex]For the second line, we have it that:
[tex]m\text{ = }\frac{0+1}{2-0}\text{ = }\frac{1}{2}[/tex]When two lines are perpendicular, the product of their slopes is equal to -1
We have it that:
[tex]\frac{1}{2}\times(-\frac{1}{2})\text{ = -}\frac{1}{4}[/tex]This shows that the two lines are not perpendicular
A container has a capacity of 2/3 gallons. How many gallons are there in six of these containers in each container is filled to capacity.
The number of gallons in 6 containers is 4
How to determine the number of gallons?The statement is given as
A container has a capacity of 2/3 gallons
This means that
1 container = 2/3 gallons
Multiply both sides of the equation by 3/2
So, we have
3/2 * 1 container = 2/3 gallons * 3/2
Evaluate the products
So, we have
3/2 containers = 1 gallon
Multiply both sides by 4
So, we have
4 * 3/2 containers = 4 gallons
This gives
4 gallons = 6 containers
Hence, the number of gallons is 4
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Rewrite as equivalent rational expressions with denominator (3x-8)(x-5)(x-3)
we have the expression
[tex]\frac{4}{3x^2-23x+40}[/tex]Rewrite as equivalent rational expressions with denominator (3x-8)(x-5)(x-3)
In this problem
3x^2-23x+40=3(x-5)(3x-8)
so
[tex]\frac{4}{3x^2-23x+40}=\frac{4}{3\mleft(x-5\mright)\mleft(3x-8\mright)}[/tex]Multiply by (x-3)/(x-3)
[tex]\frac{4}{3(x-5)(3x-8)}\cdot\frac{(x-3)}{(x-3)}=\frac{4(x-3)}{3(x-5)(3x-8)(x-3)}[/tex]Part 2
we have the expression
[tex]\frac{9x}{3x^2-17x+24}[/tex]we have that
3x^2-17x+24=3(3x-8)(x-3)
so
[tex]\frac{9x}{3x^2-17x+24}=\frac{9x}{3\mleft(3x-8\mright)\mleft(x-3\mright)}=\frac{3x}{(3x-8)(x-3)}[/tex]Multiply the expression by (x-5)/(x-5)
[tex]\frac{3x}{(3x-8)(x-3)}\cdot\frac{(x-5)}{(x-5)}=\frac{3x(x-5)}{(3x-8)(x-3)(x-5)}[/tex]Step-by-Step Example: Sketch a graph for a situation.
A carnival game booth begins the evening with 40 prizes.
In the first 30 minutes that the booth is open, no one wins
a prize. In the next hour, 8 prizes are won. In the next 45
minutes, 10 prizes are won. During the next 45 minutes,
the booth owner brings in 16 additional prizes. In the next
2 hours, 12 prizes are won. An hour later, 4 prizes are
won, and the carnival closes for the evening.
Sketch a graph that shows the number of prizes the booth
had over the time it was open.
By using the method subtraction, Total prizes are left over are 52- 34= 18
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given that,
A carnival game booth begins the evening with 40 prizes.
In the first 30 minutes that the booth is open, no one wins
a prize.
In the next hour, 8 prizes are won. In the next 45
minutes, 10 prizes are won.
During the next 45 minutes, the booth owner brings in 16 additional prizes.
In the next 2 hours, 12 prizes are won.
An hour later, 4 prizes are won, and the carnival closes for the evening.
Total prizes are 52 prizes.
Total prizes given are 34 prizes
Total prizes are left over are 52- 34= 18
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the gcf of (x-8) (x+1) and (x+1)
The two numbers are:
[tex](x-8)(x+1);(x+1)[/tex]The greatest common factor is the product of common factors.
a skydiver is falling at about 176 ft per second. how many feet per second is he falling?
Now multiply 176 by 60 and that is the answer, Khalil :=)
write x<19 in interval notation
The inequality x<19 is the unbounded interval
answer:____
The resulting inequality equation in interval form is (-∞, 19).
Interval form of an inequalityThe range of values that might result in an inequality being true can be represented using interval notation.
There are two kinds of intervals, called open and closed (explained below), and each has a unique manner to notate it so we can distinguish between the two.
Given the inequality expression x < 19. This means that the interval must contain values that are less than 19 (19 excluded.)
The inequality x<19 as an unbounded interval is given as (-∞, 19).
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I inserted a picture of a question please state whether the answer is a b c or d
Given:
[tex]\begin{gathered} y=x^2 \\ y=\mleft(\frac{1}{3}x\mright)^2 \end{gathered}[/tex]The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.
ption D is the final answer.
F(x)=1/2x4x domain:(0,1,2,)
A bagel shop sold S plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
We can conclude that (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.
What is the ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B).So, the ratio of Rye bagels to Plain bagels:
Rye bagels = 13Plain bagels = 8Then,
Rye bagels: Plain bagels13 : 8Therefore, (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.
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The correct question is given below:
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
what is the z-score of the value 9 rounded to the nearest tenth?
Please, let me know if you have any question anytimeGiven:
mean = μ = 8
standard deviation = σ = 0.7
random value = x = 9
Then, the formula to calculate the z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]Substitute the values:
[tex]z=\frac{9-8}{0.7}=\frac{1}{0.7}=1.428\approx1.4[/tex]Answer: 1.4
Please help I’ll mark you as brainliest if correct!
Answer: a = 30
d = 4
c = 18
b = 6
Step-by-step explanation: