Answer:
9 units
Step-by-step explanation:
Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]
To find: distance between points [tex](-5,9),\,(4,9)[/tex]
Solution:
According to the distance formula,
Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]
Therefore,
Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]
[tex]=\sqrt{(9)^2}[/tex]
[tex]=9[/tex] units
At a recent charity event there was a range of admission charges:
Family (2 Adults + 2 Children)
Adult
Senior
Child (5 to 16 years)
Child under-5
$44
$14
$12
$10
Free
In addition it was possible to buy Family tickets before the event at the reduced cost of $40 per
family.
At the gate tickets to the value of $40 000 were purchased, and prepaid tickets added a further
$10000 to the total income. For every Family ticket sold on the day, 1 Adult, 1 Senior, and 3 Child
tickets were sold and 2 under-5 children were admitted free of charge.
How many people attended?
A
B
c
4400
4600
4650
5400
Answer:
5400
Step-by-step explanation:
Given data
Family (2 Adults + 2 Children) = $44
Adult = $14
Senior = $12
Child (5 to 16 years) = $10
Child under-5 = Free
At reduced price family buys ticket at = $40
Total prepaid ticket sold = $10,000
Value of ticket sold at the gate = $40,000
Determine how many people attended
first step : determine number of family that purchased the prepaid tickets
= 10,000 / 40 = 250 families
∴ number people who booked prepaid tickets = 250 * 4 = 1000 people
Next step : Determine the number of families that booked the ticket at the gate
let the number of families = y
40,000 = 44 y + 12y + 3y * 10 + 14y + 2y *0
40,000 = y ( 100 ) hence y = 40,000 / 100 = 400
∴ number of people = 400 * ( 4 + 1 + 1 + 3 + 2 ) = 400 * 11 = 4400
Number of people whom attended = 4400 + 1000 = 5,400
A salesman at a clothing store makes a sale to 30% of the customers he talks to, and wants to try out a new tecnique to see if he can change this rate. He decides to collect data for a few months on the percentage of customers he makes a sale to, and he is able to construct a 95% confidence interval of (.3095, .3275). Is there evidence at 5% significance that he has changed his average sales?
Answer:
Yes, we can conclude that average sales has changed.
Step-by-step explanation:
The null hypothesis, H0 : μ = 0.3
The alternative ; H0 : μ ≠ 0.3
The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).
We can reject H0 and conclude that μ > 0.3
write an inequality to represent the statement band will be no longer than 45 minutes
Answer:
x ≤ 45
Step-by-step explanation:
Hi,
Since the band can reach 45 but no longer than that, we put the ≤ sign. And obviously, the x represents the number of mins.
I hope this helps :)
If your grandmother had a cousin what would she be to you??
Answer:
Wouldn't he be like a second cousin or something?
Step-by-step explanation:
Answer:
I think she would be your second cousin.
Step-by-step explanation:
Hope this helps!!
Please mark this answer as Brainiest!!
Find the area of the parallelogram. base is 10 and height is 8
Answer:
80
Step-by-step explanation:
8*10
when I need to reduce the number by 13%, just multiply it by the number ...
Answer:
0.87
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form.
−1(4/5)=
Answer: -4/5
Step-by-step explanation:
Any positive number/fraction multiplied by -1 will become negative
Find the value of x.
Answer:
1
Step-by-step explanation:
Helpppppppppppppppppppppp
Answer:
56 degrees
Step-by-step explanation:
Hope this helps and have wonderful day!!!
At a sale, a camera was reduced by $8. This represented 10% of the
original price. On the last day of the sale, the camera was sold at 75% of
the original price. What was the final selling price?
Answer:
The answer is 60.
Step-by-step explanation:
1. 8*10=80 #original price
2. 80.....100%
x...... 75%
=> 100x = 6000 => 60
While teaching at the University of Pisa in 1589, Galileo tested Aristotle’s laws of falling objects by dropping large metal projectiles off the?
.A university building
B. church tower
C. Leaning tower of Pisa
D.Eiffel Tower
He concluded that a heavier object dropped from the same height as a lighter object will land?
A. before the lighter objects lands
B. after the lighter objects land
C. at about the same time as the lighter objects
Answer:
C. Leaning tower of Pisa and C. at about the same time as the lighter objects
Step-by-step explanation:
Answer:
Leaning Tower of Pisa
at about the same time as the lighter objects
Step-by-step explanation:
100 on edge
Solve for x. x= __________
Answer:
64
Step-by-step explanation:
160 + 136 = 296
360 - 296 = 64
A ribbon of length 3meters is to be cut into strips of length 14centimeters. How many strips of lengths 14centimeters were cut? What length of ribbon remained?
Answer:
21
6 CM REMAINED
Step-by-step explanation:
Convert metre to centimetre
100 cm = 1 m
3 m = 3 x 100 = 300cm
strips cut = 300/14 = 21 would be cut with some remainders
Remainders = 300 - (14 x 21) = 6cm
what is the prime factor of 4400 by tree method
Answer:
The orange divisor(s) above are the prime factors of the number 4,400. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 11 = 4,400. It can also be written in exponential form as 24 x 52 x 111.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
write an equation for the graph
Answer:
In standard form: y = 1(-2) + 2
Step-by-step explanation:
y=mx+b
m is the slope (calculate with rise over run, 2/2 is 1)
x is the x intercept (in this case -2)
b is the y intercept (in this case 2)
Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.
Answer:
it's a right angled triangle
A research submarine dives at a speed of 100 ft/min directly toward the research lab. How
long will it take the submarine to reach the lab from the surface of the ocean?
It will take minutes for the submarine to reach the lab from the surface of the ocean
(Round to one decimal place as needed.)
Answer:29.2
Step-by-step explanation:
Answer:29.2m
Step-by-step explanation:
Find the length of the hypotenuse.
Answer:
25
Step-by-step explanation:
c-a=b
30-16=b
900-256=644
square root=25
Line t and Δ??? and Δ??? are shown on the coordinate plane. Which statements are true? Select all that apply.
Answer:
1. True
2. True
3. True
4. False
5. True
6. False
This is 7th grade math just trying to see if I’m doing it right so I need this answer please hurry
Answer:
I assume you are trying to find the area of it, then it would be 182m.^2
What percent of students have 3 or more siblings?
(The dot plot is also included)
Answer:
5
Step-by-step explanation:
if you count all the dots above 3, 4, 5 and 10 you will gte your answer :)
If xy + 12 = 6x + 7, find y if x =5.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
y=25
Step-by-step explanation:
solve by substitution y=3x+5 and y=x+1
Answer:
x= -2 y= -1
Step-by-step explanation:
To solve by Substitution you would make this equation equal to each other x+1=3x+5 from there you would solve for x subtract x on both sides. and subtracting 5 from both sides 2x= -4 then divide by 2 to get x by itself x=-2 since we now found what the value of x is you can now plug in x into one of the origunal equations and get your answer for y which is y=-1
Can y’all help me ?
Answer:
-2 is 4
Step-by-step explanation:
PLZ HELP ME WITH ALL OF THESE QUESTIONS PLZ I WILL GIVE BRAINLIEST ANSWER
Answers:
1. This question is asking for the dilation, or division of each point by a factor of 3. This is shown in the results below:
A' = (-4/3, -2/3)
B' = (1/3, -1)
C' = (2/3, -5/3)
D' = (-1/3, 7/3)
2. This question is asking the same thing as the previous question except for new points and a new scale factor. The results are shown below:
A' = (3, 1)
B' = (-2, -2)
C' = (-4, 6)
D' = (1, -4)
3. This question is basically asking to multiply the area of the fence by two as shown with "extend the fence's range by a scale factor of 2." The results are shown below:
A' = (4, 6)
B' = (-6, 4)
C' = (4, -4)
4. This question is asking for the ratio of each side. Moreover, this means that the same side on both triangles must equal the same ratio. This is shown below:
75/24 = 25/8
60/18 = 10/3
The values of 25/8 and 10/3 are not the same, meaning that the scale ratio is not the same. These two triangles are NOT similar because of this.
5. This question is asking the same thing as question 4. The results are shown below:
10/5 = 2
10/5 = 2
As these values are the same, these two triangles ARE similar because of how the larger triangle is multiplied by a scale factor of 2.
Consider trapezoid SODA
Answer:
CPCTC
Step-by-step explanation:
If two triangles are similar, we can prove by CPCTC
For the princess’s wedding, the king put on a great wedding feast. He had 34 tables, each with 19 plates of ham. There were 73 tables, each with 26 plates of roast beef, and there were 104 tables, each with 27 plates of vegetables. How many plates were needed just to serve the ham, beef and vegetables?
Answer 5,352
Step-by-step explanation:
in dividing or subracting three real numbers, does the order matter
Answer:
Yes because you would need to divide first before subtracting
Step-by-step explanation:
Answer:
yes, because of PEMDAS
divison always comes before subtraction
anybody know the answer to this?
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 26 inches, and the length of the base is 9
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer: 61.8
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
delta math