Answer:
B. 95
Step-by-step explanation:
Plug in 8625 into the equation as c:
c = 75n + 1500
8625 = 75n + 1500
Solve for n:
7125 = 75n
95 = n
So, 95 people attended.
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]c=75n+1500[/tex]
Where c represents the wedding cost and n represents the number of people who attended the wedding.
We know that the wedding cost a total of $8625. Thus, we can plug this number in for c and solve for n:
[tex]8625=75n+1500[/tex]
Subtract 1500 from both sides. The right cancels:
[tex](8625)-1500=(75n+1500)-1500\\7125=75n[/tex]
Now divide both sides by 75:
[tex](7125)/75=(75n)/75\\n=95[/tex]
Thus, a total of 95 people attended the wedding.
A piece of rope is 33 1/3 yards long and was cut into equal pieces. How many yards was each piece?
Answer:
11 ¹/₉ yardsStep-by-step explanation:
You didn't say how many pieces. My answer is for 3 equal pieces.[tex]33\frac13\div3=(33+\frac13)\div3=33\div3+\frac13\div3=11+\frac13\times\frac13=11+\frac19=11\frac19[/tex]
For two it would be:
[tex]33\frac13\div2=(33+\frac13)\div2=33\div2+\frac13\div2=16\frac12+\frac13\times\frac12=\\\\=16\frac36+\frac16=16\frac46=16\frac23[/tex]
Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the class?
Answer:
76%Step-by-step explanation:
Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.
Mean is the ratio of the sum of the grades to the total number of grades given.
[tex]mean (\overline x) = \frac{\sum Xi}{N}[/tex]
Xi are the individual grades
N is the total number of grades = 4
[tex]\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\[/tex]
Hence his average in the class is 76%
Pay for last week is 230.40. You worked 30 hours. How much were you paid
All we need to do is divide.
230.40 / 30 = $7.68
Therefore, he/she made $7.68 per hour.
Best of Luck!
(1) Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) ∈ R if and only if (a) x − y = 0 (b) x = |y| (c) x + y is odd (2) Which, if any, of the relations from the previous two problems is an equivalence relation?
Answer:
Step-by-step explanation:
1)
a) x-y = 0
Reflexive :
x-x=0, where x and 0 are whole numbers is valid for all x
In this way, x-x is a number
Which infers that (x,x) ∈ R
In this way, R is reflexive
Symmetric :-
(x-y) is a whole number
Which infers - (x-y) is likewise a whole number
Which infers (y-x) is a number
In this way, (x-y) is a number infers that (y-x) is likewise a whole number
i.e If (x,y)∈R at that point (y,x)∈R
In this way, R is Symmetric.
Against Symmetric:-
(x,y)∈R
x-y=0, where x and y are whole numbers
Which infers x=y
Assume, (y,x)∈R
y-x=0, where x and y are whole numbers
Which infers y=x
Consequently, (x-y) is a whole number suggests (y-x) is additionally a whole number
for example In the event that (x,y)∈R at that point (y,x)∈R, where x=y
R is Anti-Symmetric.
Transitive:-
Given,
(x-y)∈R and (y-z)∈R - (I)
To demonstrate that,
(x,z)∈R
from (I)
x-y= 0 and y-z=0
Including both, we get
(x-y)+(y-z)=0
x-z=0
Consequently demonstrated that (x,y)∈R and (y,z)∈R infers that (x,z)∈R
Since the above connection is symmetric, reflexive advertisement transitive. Consequently, it is an identicalness connection.
b) x=|y|
Reflexive:-
x isn't reflexive.
Since for - 2
- 2 ≠|-2|, where - 2 is a whole number.
- 2≠|2|
Consequently, (x,x) isn't Reflexive.
Symmetric:-
(x,y)∈R, infers
x=|y|, where x and y are whole numbers ...(i)
Let x =-2 and y= - 2
- 2≠|-2|
- 2≠|2|
Which infers (x,y) itself doesn't have a place with R.
Consequently R isn't symmetric.
Against Symmetric:-
(x,y)∈R, suggests
x=|y|, where x and y are numbers
let x= - 2 and y =-2
- 2 ≠ |-2|
- 2≠|2|
R isn't hostile to symmetric.
Transitive:-
x=|y| and y=|z| ∈ R
let x=2, y=-2 and z= 2
infers that
2=|-2| and - 2≠|2|
for example 2=|2| and - 2∉|2|
In this way, R isn't transitive.
c) x+y is odd
Reflexive:-
x+x is even, where x is a whole number.
In this way, (x,x)∉R.
R isn't Reflexive.
Symmetric:-
(x,y)∈R
x+y is odd, where x and y are whole numbers
Additionally, (y,x) is odd
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Symmetric.
Against Symmetric:-
(x,y)∈R
infers x+y is odd, where x and y are whole numbers
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Anti-Symmetric.
Transitive:-
Given,
(x,y)∈R and (y,z)∈R, where x,y and z are whole numbers ...(i)
To demonstrate that
(x,z)∈ R
from (I)
x+y is odd and y+z is odd''
Including both we get
x+2y+z is odd
which infers (x,z)∉R
In this way, R isn't transitive.
2) x-y=0 is reflexive, symmetric and transitive in this way it is an equality connection.
while x=|y| and x+y is odd are not equality relations.
What is the value of x?
Answer: 12
Step-by-step explanation:
Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.
9x-54=4x+6 [subtract both sides by 4x]
5x-54=6 [add both sides by 54]
5x=60 [divide both sides by 5]
x=12
Now, we know that x is 12.
Parallelogram ABCD has four congruent sides but no right angles. The diagonals of ABCD intersect at point P.
Which phrase could NOT describe a single transformation that maps parallelogram ABCD onto itself?
A. A rotation of 180 degrees about point P
B.
A rotation of 90 degrees clockwise about point P
o c.
A reflection across the line that passes through points A and C
D.
A reflection across the line that passes through points B and D
Can someone help plssss
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees about point P
John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same
proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box.
What is the total number of nails in Susan's box? Enter the answer in the box
Answer:
Susan has a total of 660 nails
Step-by-step explanation:
John box contains 65 small nails, 40 medium nails, and 45 large nails.
The proportion of John nails is
65/5:40/5:45/5
13:8:9
Total = 30
If Susan has 176 medium nails and same proportion to John's nails
8/30(x) = 176
Where x is the total number of nails for Susan box
X= (176*30)/8
X= 22*30
X= 660 nails
Susan has a total of 660 nails
. A system consists of three subsystems in parallel. Subsystem A has a reliability of 0.98, subsystem B has a reliability of 0.85, and subsystem C has a reliability of 0.88. Calculate the overall system reliability.
Answer:
[tex]P(System) = 0.73304[/tex]
Step-by-step explanation:
Given
Reliability of:
A = 0.98
B = 0.85
C = 0.88
Required
Determine the overall reliability
The overall system reliability is calculated by multiplying the individual reliability of each subsystems;
i.e.
[tex]P(System) = P(A) * P(B) * P(C)[/tex]
[tex]P(System) = 0.98 * 0.85 * 0.88[/tex]
[tex]P(System) = 0.73304[/tex]
Hence, the overall reliability is 0.73304
3/5(4.3 – 7.8) + 2 1/9 ?
Answer:
0.01
Step-by-step explanation:
for evaluating functions from a graph what is f(-2)=
1.Square roots are the ____ of perfect squares.
What is 5 8/12 as a mixed number in its simplest form
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
solve for x with work
2.16=?2, point, 1, start overline, 6, end overline, equals, question mark
Answer:
[tex]2\frac{4}{25}[/tex]
Step-by-step explanation:
The question asks:
2.16 = ???
The is a decimal number that can be converted to a mixed fraction
2.16 = 2 + 0.16
2 = whole number.
So, we are left with 0.16
We can convert this to a fraction
Since it is in 2 decimal places we Multiply by 100
=( 0.16 × 100)/ 100
= 16/100
We simplify this fraction and we have
= 4/25
Therefore,
2.16 = 2 + 0.16
2.16 = 2 + 4/25
2.16 = [tex]2\frac{4}{25}[/tex]
Ready Maid Service charges $25.00 per house, plus an additional $22.00 per hour, h. What
is the constant in this situation?
Answer:
$25 per house.
Step-by-step explanation:
h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.
List at least three shapes, other than hexagons, In the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of lines of reflection that will map each shape back on to itself when the shape flips about the line. Also describe the position of the line of reflection.
Answer:
Shape Number of Lines of Reflection Description
equilateral triangle 3 3 perpendicular bisectors of the sides
regular heptagon 7 7 perpendicular bisectors of the sides
regular octagon 8 4 perpendicular bisectors and 4 lines joining pairs of opposite vertices
Step-by-step explanation:
-9x - x - 7x² - 6x² + 8 +6
Help please
Answer:
[tex] \boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2} - 10x + 14}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9x - x - 7 {x}^{2} - 6 {x}^{2} + 8 + 6}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 {x}^{2} - 6 {x}^{2} - 9x - x + 8 + 6}[/tex]
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 8 + 6}[/tex]
Add the numbers
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 14}[/tex]
Hope I helped!
Best regards!!
solve 6(x-2) ^2 + 7 = 223
Answer:
x = 8 or -4
Step-by-step explanation:
6(x - 2)² + 7 = 223
PEMDAS
expand (x - 2)² first using FOIL
(x - 2)(x - 2)
x² - 2x - 2x + 4
x² - 4x + 4
rewrite equation
6(x² - 4x + 4) + 7 = 223
distribute the 6 through the parentheses
6x² - 24x + 24
rewrite equation
6x² - 24x + 24 + 7 = 223
combine like terms
6x² - 24x + 31 = 223
subtract both sides by 223
6x² - 24x - 192 = 0
divide both sides by 6
x² - 4x - 32 = 0
factor with factoring X
x² - 8x + 4x - 32 = 0
factor by grouping
(x² - 8x) + (4x - 32) = 0
x(x - 8) +4 (x - 8) = 0
(x - 8)(x + 4) = 0
x = 8 or -4
Data sets A and B are dependent. Find mean of the differences (d bar).
A 32 30 49 45 33
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.
Answer:
9.0
Step-by-step explanation:
Mean = Sum of terms/Number of terms
For Data Set A
Mean = 32 + 30 + 49 + 45 + 33/5
= 189/5
= 37.8
For Data Set B
Mean = 30 + 26 + 27 + 37 + 24/5
= 144/5
= 28.8
Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B
Mean Difference = 37.8 - 28.8
= 9.0
For each of the following examples, solve the given problem and write your answer in scientific notation using the proper number of significant figures. Make sure to include all units in your final answers.
The distance from the Earth to the Sun is a measure of distance called the Astronomical Unit (AU). Given: 1.000 AU = 1.496108 km:
a. convert Uranus’ distance of 19.1903 AU to kilometers (km) =
b. convert the distance to the center of the Milky Way galaxy of 2.6x1017 km to AU =
Answer:
the answer is pythagoras thorium
David rolled a number cube 20 times. The cube landed on the number 3 six times. Which best describes what would likely happen if Dan rolled the number cube another 80 times?
Answer:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
Step-by-step explanation:
A number cube has 6 faces and contains the numbers from 1 to 6 on each of its faces.
And each number is equally likely to come.
i.e. Theoretical probability of each face = [tex]\frac{1}{6}[/tex]
Probability of any event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that number of times 3 occurs is 6 out of 20.
So, experimental probability of 3 = [tex]\frac{6}{20}=\frac{3}{10}[/tex]
Here, we can see that experimental probability of 3 is greater than that of theoretical probability of 3.
But the number of iterations here are smaller in number i.e. only 20.
As the number of iterations will increase, it is likely that the experimental probability of 3 will reach towards the theoretical probability of 3.
So, we can say that:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
4. The admission fee at a small fair is $1.50 for
children and $4 for adults. On a certain day, 1,486
people enter the fair and $3,479 is collected. How
many children and how many adults attended?
a. 500 adults, 986 children
b. 986 adults, 500 children
c. 432 adults, 1004 children
d. 1004 adults, 432 children
Answer:
The answer is a
Step-by-step explanation:
500 times 4 is 2,000
986 times 1.50 is 1,479
Therefore your answer is a
¯\(°_o)/¯
PLEASE HELP
Q is in the interior of angle XYZ.
The measure of angle XYZ = 3r +2.
The measure of angle XYQ = 2r-1.
The measure of angle ZYQ = 3r-5.
True
False
r = -3
The measure of angle XYQ = 7
10
r = 4
Ray YQ bisects angle XYZ.
Answer:
r=-3 FALSE
m<XYQ=7 TRUE
r=4 TRUE
Ray YQ bisects angle XYZ TRUE
Step-by-step explanation:
2r-1+3r-5=3r+2
5r-6=3r+2
2r=8
r=4
------------------------
r=-3 FALSE
m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)
r=4 TRUE
Ray YQ bisects angle XYZ TRUE (ZYQ=3r-5=3(4)-5=12-5=7. Both XYQ and ZYQ=7, so ray YQ is the bisector)
I don't know what the 10 is for in your question.
A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples? A. x=320 B. x=302 C. x=203 D. x=230
Step-by-step explanation:
In order to solve this question we use ratio and proportion
From the question
3 apples were sold for $2.00
Then
10 apples will be sold for what
That's
[tex] \frac{10 \times 2}{3} \\ = \frac{20}{3} [/tex]Hope this helps you
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that
(28+45) -73
GOS
28
45
Which best describes Nadia's solution?
Answer:28
Step-by-step explanation:
Answer:
C. She is incorrect because she should have squared each leg length and then found the sum.
Step-by-step explanation:
Solve for "x": 3 (1 + 1) = 5 + 2
Answer:
Please where is the x in the question
Answer:
Please where is the x in the question
If two points that are coplanar are also _________________.
Answer:
If two points that are coplanar are also __ collinear
Point I lies between points W and F. WI = 7x – 3.
IF = 2x + 4. WF = 15x – 21. What is the measure of
WF?
Answer:
WF=34
Step-by-step explanation:
Point I lies between points W and F.
It means point WI + IF = WF
SO WI + IF = WF
WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
7x-3 +2x+4= 15x-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WF= 15(11/3) -21
WF= 55-21
WF=34
M(8,3) is the midpoint between the points A(4,5) and B. Find the coordinates of B.
Answer:
(12,-1)
Step-by-step explanation:
Let the coordinates of v to be x and y
(4+x)/2=8
4+x=16
X=12
(5+y)/2=3
5+y=2×3
5+y=6
Y=-1
B(12,-1)
A group of 12 male and 8 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the probability that a randomly chosen student is female, given that she is among those who go out for pizza.
Answer:
1/4
Step-by-step explanation:
12*50%=12*0.5=6 males
8*25%=8*0.25=2 females
2+6=8
2 out of 8 students are female
2/8=1/4