Step-by-step explanation:
X = the number of cards in his location
[tex]31 = (x+5)/2\\\\Multiply\\\\62 = x+5\\\\Subtract\\\\x = 57[/tex]
Hope this helps <3
A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip
Answer:
24mph
Step-by-step explanation:
Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)
The train's average speed for the entire trip is equal to 25 mph.
Given the following data:
Distance A = 20 milesTime A = 1 hourDistance B = 30 milesTime B = 1 hourTo determine the train's average speed for the entire trip:
First of all, we would find the total distance and total time for the trip respectively.
For total distance:
[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]
Total distance = 50 miles
For total time:
[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]
Total time = 1 hour
Mathematically, average speed is given by the formula:
[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]
Average speed = 25 mph.
Read more: https://brainly.com/question/17742679
Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+8)°m∠z=(133−6n)° m ∠ x = ( 4 n − 18 ) ° m ∠ y = ( n + 8 ) ° m ∠ z = ( 133 − 6 n ) °
Answer:
67°
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.
Before we can get the exterior angle Z, we need to first calculate the value of n.
In geometry, the sum of interior angles is equal to the remote exterior angle.
m∠z = m∠x + m∠y
(133-6n)° = (4n-18)°+(n+8)°
133-6n = 4n-18+n+8
-6n-4n-n = -18-133+8
-11n = -143
n = 143/11
n = 13°
Since the exterior angle m∠z =(133-6n)°
Substituting n = 11 into the equation will give:
m∠z = 133-6(11)
m∠z = 133-66
m∠z = 67°
The remote exterior angle is 67°
Answer: 55
Step-by-step explanation:
You purchase a $100,000 life insurance policy for a $300 premium each year. If the probability of living is 0.999, find the expected value for the insurance company.
Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
Can someone please help me I need help please help me please help
Answer: just graph these two equations
option a: y = 5x + 10
option b: y = 7.5x
and then tell at what number of event would having a card and not having a card is cheaper.
Step-by-step explanation:
the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value
Answer:
use this hope help you
option a: y = 5x + 10
option b: y = 7.5x
and then tell at what number of event would having a card and not having a card is cheaper.
Step-by-step explanation:
Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28
Answer: 24) C. SSS only
26) D. DH = HF
Step-by-step explanation:
24.
Statement Reason
1. BD = CA 1. Given
2. AB = CD 2. Given
3. AD = AD 3. Reflexive Property
4. ΔABD = ΔDCA 4. SSS Congruency Theorem
We have no information about the angles so cannot use SAS Theorem.
26. G H F
E H D
Line up the letters to find the congruent sides:
⇒ GH = EH
HF = HD
GF = ED
Which of the following slopes of a line passes through points (1, -3) and (0, 2)?
Answer:
0.5
Step-by-step explanation:
2-0=-2
-3-1=-4
-2/-4=0.5
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:
Country Average monthly salary Standard deviation Original currency
the Czech Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Korea $2,245 $673.60 won
Romania $646 $96.80 leu
the United States $4,141 $1,242.20 dollar
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
Answer:
a) highest z score
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
Step-by-step explanation:
Let us calculate z-score corresponding to each country.
The z-score is given by
[tex]$ z = \frac{x-\mu}{\sigma } } $[/tex]
Czech Republic:
μ = $1,059
σ = $158.80
[tex]z = \frac{1500-1059}{158.80 } } \\\\z = 2.77[/tex]
Latvia:
μ = $790
σ = $118.60
[tex]z = \frac{1500-790}{118.60 } } \\\\z = 5.98[/tex]
Korea:
μ = $2,245
σ = $673.60
[tex]z = \frac{1500-2245}{673.60 } } \\\\z = -1.10[/tex]
Romania:
μ = $646
σ = $96.80
[tex]z = \frac{1500-646}{96.80 } } \\\\z = 8.82[/tex]
United States:
μ = $4,141
σ = $1,242.20
[tex]z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12[/tex]
Country z-score
Czech Republic 2.77
Latvia 5.98
Korea -1.10
Romania 8.82
The United States -2.12
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify [Q - R] + [S - T].
10m - 7n - 14
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
Remove the brackets
That's
9m + 3n - 11 + m + 4n - 3
Group like terms
9m + m + 3n + 4n - 11 - 3
The final answer is
10m + 7n - 14Hope this helps you
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.
Answer:
The slope is [tex]s =[/tex] $0.1774 / pounds
Step-by-step explanation:
From the question we are told that
The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]
The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50
The weight of a Beagle is [tex]w_2 = 30 \ pound[/tex]
The cost of feed a Beagle per week is [tex]c_2 =[/tex]$9.20
Now the slope can be evaluated mathematically as
[tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]
substituting values
[tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]
[tex]s =[/tex] $0.1774 / pounds
n a group of 60 students, 18 students take algebra I, 20 students take Algebra II, and 10 students take both subjects. How many students don’t take either of these subjects?
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820
Answer:
32 students take neither of the subjects
Step-by-step explanation:
If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.
which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
The values must decrease x∧12≥3x∧7≥4x³≥9xFind the x-value for point C such that AC and BC form a 2:3 ratio.
A
4
2
B
-3-2
-1
2 3
4
5
6
ou
Answer:
B
Step-by-step explanation:
(7x^2+6) -(2x - 5) subtract
Answer:
7x² - 2x + 11
Step-by-step explanation:
(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)
7x² + 11 - 2x → 7x² - 2x + 11
Answer: 7x² - 2x + 11
Hope this helped! :)
Answer:
7x^2-2x+11
Step-by-step explanation:
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
Answer:
a. 15 meters.
b. 20 meters.
Step-by-step explanation:
a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.
The ball will be 15 meters high.
b. The maximum height reached by the ball.
To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.
In this case, a = -5 and b = 20.
-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.
Then, we find the y-coordinate by putting 2 where it says "t".
h(2) = 20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.
Hope this helps!
Answer:
pen
Step-by-step explanation:
If T={x:X is an integer between 1 and 4} (A) List down the elements of set T in set notation. B write down the number of elements in set T . C list down all the subsets of set T.D separate the proper and improper subsets of T.
Answer:
The answer is given below
Step-by-step explanation:
A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}
Find the least common multiple of 10 and 25, this time i am serious
Answer:
50
Step-by-step explanation:
25: 25, 50, 75, 100
10: 10, 20, 30, 40, 50
Answer:
50
Step-by-step explanation:
25: 25, 50, 75, 100
10: 10, 20, 30, 40, 50
The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?
Answer:
40
Step-by-step explanation:
First let x represent the first number.
Let 2x represent the second number.
Let 2x-16 represent the third number.
x + 2x + 2x-16 = 84
5x -16 = 84
5x = 84 + 16
5x = 100
Divide both sides of the equation by 5 so that x can stand alone.
[tex]\frac{5x}{5} = \frac{100}{5}[/tex]
x = 20
∴ First number = x = 20
Second number = 2x = 40
Third number = 2x - 16 = 24
help this is like the lasf oms
Answer:
678
86
8
Step-by-step explanation:
Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!
Answer:
D
Step-by-step explanation:
Using the law of radicals/ exponents
[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]
Consider the right side
[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Thus
[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Since the bases on both sides are equal, equate the exponents, so
x = [tex]\frac{3}{2}[/tex] → D
Find the surface area of the square pyramid using its net.
Answer:
33 square units
Step-by-step explanation:
4 triangles - 1/2 * 3 * 4 = 24
base is 3 * 3 = 9
24 + 9 = 33
Fuel x cost $2 per gallon and fuel y cost $3 per gallon. You have at most $18 to spend on fuel. Write a system of linera inequalities to represent this situatiom
Answer:
[tex]2x + 3y \leq 18[/tex]
Step-by-step explanation:
Given :
fuel x is $2 i.e $2x
fuel y is $3 i.e $2y
As mention in the question the cost will be almost $18 to spending the fuel
So
Linear equation can be written as
[tex]2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0[/tex]
Answer:
2x + 3y <= 18, x >= 0, and y >= 0
Step-by-step explanation:
Which equation has the steepest graph?
A. y = 10x-5
B. y=3/4x-9
c. y = -14x+1
D. y = 2x + 8
The equation that has the steepest slope is y = -14x + 1
What is a slope?A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.
Analysis:
A line is said to be the steepest if it has the highest absolute value of the gradient or slope.
From the equations, the coefficient of x in the equations is taken as the slope. y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.
Learn more about slope: brainly.com/question/3493733
#SPJ2
Answer:
Y=-14x+1
Step-by-step explanation:
For A (1, -1), B(-1,3), and C(4, -1), find a possible location of a fourth point, D, so that a
parallelogram is formed using A, B, C, D in any order as vertices.
Answer: c, b, a, d
Step-by-step explanation: that is correct
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute
Answer:
-0.09 miles per minute
Step-by-step explanation:
What is the value of the expression below?
(9-3)+4(6-7)
0 -7
0 -1
0 7
O 20
Hello!
Answer:[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]
__________________________________________________
Explanation:We can solve this expression using the order of operations.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(In some places it might be called BEDMAS).
(9-3)+4(6-7)
Start by solving the brackets (parentheses).
6 + 4(-1)
Next, we must multiply 4 by -1.
6 + (-4)
This can be written as:
6 - 4
= 2
I think you meant to put 2 instead of 20 in the options.
What is the range of this function?
The range will be the set of all the outputs.
So that's going to be {-8, -3, 5, 7}.
Answer:
{-8, -3 , 5 , 7}Step-by-step explanation:
About domain and Range:Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
Find the range of the given function y = 5x + 2, where x > -2.
Answer:
{-3, 2, 7, ...... } is the range of given function.
Step-by-step explanation:
We are given that the function is defined as:
[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].
To find:
Range of the given function = ?
Solution:
First of all, let us have a look at the definition of Domain and Range.
Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.
For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.
Range of a function f(x) is the set of output that is valid according to the input given.
For the given equation, let us put the value of x one by one and try to find out the value of y.
Putting x = -1 first:
[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]
Putting x = 0:
[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]
Putting x = 1:
[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]
So, the range is : {-3, 2, 7,......}
PLEASE HELP ASAP don’t have much time.
Answer: 4
Step-by-step explanation:
numerator - denominator
Numerator: w¹³ Denominator: w⁸ · w¹
13 - (8 + 1)
13 - 9 = 4
need some help asap...............
Answer:
39.94 cmSolution,
ABCD is a rectangle.
Given,
AC= 64 cm
AB= 50 cm
To find: Value of other side of TV
since, ABCD is a rectangle
<B= 90°
Using Pythagorean theorem:[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
R. Linda capital amount on january 1st was 151600 and there was an additional investment of 7600 on may 12 and withdrawls of 37900 for the year. Net income for the year was 24250. Prepare a statement of owners equity for the Lindal clinic for the year ended december 31
Answer:
$145,550
Step-by-step explanation:
R. Linda Clinic Statement of Owner's equity for the year ended, December 31.
Particulars
$
Beginning capital
151,600
Add additional
investment 7,600
Add net income
for the year 24,250
__________
183,450
Less drawings 37,900
_________
145,550
__________
Capital, December 31 (Ending capital )
The amount of $145,550 is the total owner's equity for the company.