Answer:
OD. 6
Step-by-step explanation:
.
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?
Answer:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that [tex]x + y = 1042[/tex]
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
[tex]1.5x + 0.75y = 1140[/tex]
System of equations:
The system of equations is:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Find the value of x.
Answer:
x = 63
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 62 + 55 = 180
x + 117 = 180
x = 180 - 117
x = 63
The circumcenter is the center of the __________ circle.
Question 2 options:
A)
obtuse
B)
circumscribed
C)
inscribed
D)
congruent
paul wanted .6 of a candy bar. He cut it into 10 equal piees. how many pieces did he take to get .6 of the candy bar
Answer:
6 pieces.
Step-by-step explanation:
A candy bar is a value of 1.
1/10 = 0.1
0.6/0.1 = 6
24.5x = 30 what is x?
Answer:
24.5x = 30
x = 30/ 24.5
= 1.22448979592
hope this answer helps you.....
Answer:
x= 30/24.5=1.22448
Step-by-step explanation:
we have :
2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel routes, with the time required for each segment, is shown below.
What is the shortest path and what is the shortest possible time to travel from A to Z? (Round your answer to the nearest whole number.)
Shortest Path Choices: A-B, B-E, E-Z ; A-C, C-Z ; A-B, B-D, D-Z
Answer:
Shortest Path : A-C, C-Z
Shortest possible time = 143
Step-by-step explanation:
P.S - The exact question is -
Given -
T1 = 38
T2 = 52
T3 = 63
T4 = 67
T5 = 91
T6 = 62
T7 = 64
To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?
Proof -
Choices for shortest path is -
Choice 1 : A-B, B-E, E-Z ;
Choice 2 : A-C, C-Z ;
Choice 3 : A-B, B-D, D-Z
Now,
For Choice 1 : A-B, B-E, E-Z
Distance between A-B = T1 = 38
Distance between B-E = T4 = 67
Distance between E-Z = T7 = 64
So,
The distance = 38 + 67 + 64 = 169
Now,
For Choice 2 : A-C, C-Z
Distance between A-C = T2 = 52
Distance between C-Z = T5 = 91
So,
The distance = 52 + 91 = 143
Now,
For Choice 3 : A-B, B-D, D-Z
Distance between A-B = T1 = 38
Distance between B-D = T3 = 63
Distance between D-Z = T6 = 62
So,
The distance = 38 + 63 + 62 = 163
∴ By comparing we get
Shortest Path = A-C, C-Z
Shortest possible time = 143
The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.
It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.
It is required to find the shortest path and the shortest possible time to travel from A to Z.
What is the shortest path?It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.
We have the time required to travel from A to B is T1 = 38 units
Similarly, for the path A to C is T2= 52 units
For the path B to D is T3= 63 units
For the path B to E is T4 = 67 units
For the path C to Z is T5 = 91 units
For the path D to Z is T6 = 62 units
For the path E to Z is T7 = 64 units
For the path A→B→E→Z
The total time required = T1+T4+T7
= 38+67+64 ⇒169 units.
For the path A→C→Z
The total time required = T2+T5
= 52+91 ⇒143 units.
For the path A→B→D→Z
The total time required = T1+T3+T6
= 38+63+62 ⇒ 163 units.
Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.
Learn more about the shortest path here:
https://brainly.com/question/15139264
Solve for × and write answer in interval notation.
[tex] \frac{1}{x + 1} \geqslant \frac{3}{x - 2} [/tex]
Answer:
( -∞, -2.5] ∪ (-1, 2)
Step-by-step explanation:
1/(x + 1) ≥ 3/(x - 2)
x - 2 ≥ 3(x + 1)
x - 2 ≥ 3x + 3
x - 3x ≥ 3 + 2
-2x ≥ 5
x ≤ -2.5
Interval notation:
( -∞, -2.5] ∪ (-1, 2)
NO LINKS PLEASE
Which algebraic rule represents the pattern in the table?
multiplying each number by 8
Answer: n=m divided by 8
Step-by-step explanation:
The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?
Answer:
V≈33238.05
Step-by-step explanation:
The circumference of the cylinder base is
= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.
That is ( 2 )(pi)( r ) = ( 44 )cm or
( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.
I have approximated ( pi ) as ( 3.14 ) for this calculation.
The area of the cylindrical base is ( pi )*( radius )^2
Therefore area of the base
= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.
Volume of Cylinder
Volume = Atea of the base multiplied by cylinder height or
= ( 154.1415 ) * ( 7 )
= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.
Lateral Surface Area
The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.
= ( 44 )*( 7 ) = ( 308 ) cm squared
Inherent Assumption
It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.
help me dont put links while answering question
Answer:
It's A, 3.82
Step-by-step explanation:
the decimal table goes up to left
Will be giving BRAINLIEST and 50 PTS!!! NO GIBBERISH OR LINKS PLEASSSSSE!!!
QUESTION IS IN ATTACHMENT
Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Answer:
Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Step-by-step explanation:
An amusement park has 16 attractions, including 6 rides.
What is the probability that a randomly selected attraction at this amusement park will be a ride?
The probability it will be a ride = total number of rides / total attractions.
Probability = 6/16
Probability = 3/8
Answer:
Solution :-Probability is defined as the favourable outcomes divided by total outcomes
Probability = Favourable Outcome/Total outcomes
Probability = 6/16
Probability = 3/8
[tex] \\ [/tex]
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy
How many times larger than
(8 + 22) is 8 x (8 + 22)?
Answer:
8
Step-by-step explanation:
8+22 = 30
In order to solve 8 • (8+22), we'll need to use the order of operations. First, complete what is in parenthesis.
8 • (8+22)
30
Then, multiply 30 by 8.
30 • 8 = 240.
So, you can then divide to find your answer. If you divide 240 by 30, you will find that 8 • (8+22) is 8 times larger than 8+22.
Answer:
8 times larger
Step-by-step explanation:
solve the equation -3(w+12)=-16
The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?
a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42
Answer:
Scale distance on map representation = 2.4 cm
Step-by-step explanation:
Given:
Scale factor [6 cm - 15 Km]
Actual distance = 6 km
Find:
Scale distance on map representation
Computation:
Scale distance on map representation = Actual distance[6cm / 15km]
Scale distance on map representation = 6km [6cm / 15km]
Scale distance on map representation = 36 / 15
Scale distance on map representation = 2.4 cm
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
y=x^2-6x+12
whats (x,y)
Answer:
(3,3)
Step-by-step explanation:
Cos Y=?
5/13
5/12
12/13
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.
Answer:
No that would be a 90 degree
Step-by-step explanation:
The circumference of a circle is 119.32 in what is the diameter of the circle?
Answer:
38
Step-by-step explanation:
119.32/3.14 since 3.14 is pi and c=pi*d
Answer:
d≈37.98
Step-by-step explanation:
C=2πr
d=2r
Solving for d
d=C
π=119.32
π≈37.98074
A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.
Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?
Answer:
1.) t - distribution
2.) H0 : μ = 60000 ; H1 : μ > 60000
3.) P < α (Reject Null) ; P > α (fail to reject Null)
4.) Reject H0
Type 1 error
Step-by-step explanation:
Null hypothesis, H0 : μ = 60000
Alternative hypothesis, H1 : μ > 60000
Decison rule at 5% significance ;
P < α (Reject Null)
P > α (fail to reject Null)
Xbar = 72000 ; std = 9000
Test statistic :
(Xbar - μ) ÷ (std / sqrt(n))
(72000 - 60000) ÷ (9000 / sqrt(25))
12000 ÷ 1800
Test statistic = 6.667
Using the Pvalue calculator from test statistic :
Test statistic = 6.667 ; df = 24 - 1 = 24
Pvalue = 0.00001
Pvalue < α ; Hence, we reject the Null
Type 2 error : This means accepting a Null hypothesis that should be rejected.
Divide. Round your answer to the nearest hundredth.
Answer:
775.64
Step-by-step explanation:
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Enter the correct answers in the boxes.
One Way:
Second Way:
Answer:
One Way: 79 + 62H + 15H = X
Second Way: 79 + ((62 + 15) x H) = X
Step-by-step explanation:
Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
79 + 62H + 15H = X
So, for example, if the job had lasted 2 hours, the equation would apply as follows:
79 + 62x2 + 15x2 = X
79 + 124 + 30 = X
233 = X
79 + ((62 + 15) x H) = X
In the case, if the work had lasted 1 hour, the equation would apply as follows:
79 + (62 + 15) x 1) = X
79 + 77 x 1 = X
79 + 77 = X
156 = X
The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.
There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.
Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour
$79 + $62h + $15h
= $79 + $77h
Total charge when there is no emergency = one-time service fee + labor charge per hour
$79 + $62h
To learn more about how to determine total charge, please check: https://brainly.com/question/25879561
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.