Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
what is 7.0893 as a decimal but in word form.
Answer:
seven and eight hundred ninety-three ten-thousandths
Step-by-step explanation:
what is 3/5 divided by 1/2 as a reduced fraction
Can someone help with this I’ll mark u as brainlist
Answer:i don’t really k ow but i need points to ask questions
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
The answer is D: y = -2x + 6
Step-by-step explanation:
the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
y + 12.5 = 21.7, y =
Answer:
y = 9.2
Step-by-step explanation:
21.7 - 12.5 = 9.2
Answer:
y = 9.2
Step-by-step explanation:
Please help me on this
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up
Answer:
2 rows of 41
Step-by-step explanation:
i had the same question
The number of possible ways can the chairs be lined up is 2 rows of 41.
Given that,
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.Based on the above information, the calculation is as follows:
[tex]= 2 \times 41[/tex]
= 82 chairs
Here 2 denotes the rows.
Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.
Learn more: brainly.com/question/13549064
At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?
If 7 pounds cost $5.46, find the cost of 3 pounds.
Answer:
$2.19
Step-by-step explanation:
7 divided by 3 is 2.5
5.46 divided by 2.5 is 2.184
round it and get 2.19
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
please help me answer this ASAP if u view it then u'll see the question properly
[tex] \frac{1 + \sqrt{3} }{ \sqrt{12} } [/tex]
i will give brainliest answer if it the correct answers
Answer:
1/6 sqrt(3) + 1/2
Step-by-step explanation:
(1 + sqrt(3))
------------------
sqrt(12)
Multiply the top and bottom by sqrt(12)
(1 + sqrt(3)) * sqrt(12)
------------------
sqrt(12)*sqrt(12)
sqrt(12) + sqrt(3) * sqrt(12)
------------------
12
Simplify
sqrt(4)sqrt(3) + 6
------------------------
12
2 sqrt(3) +6
--------------------
12
1/6 sqrt(3) + 1/2
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
(I mark Brainlist)
A. y = 9.5x + 22.5
B. y =22.5 + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5
Answer:
C or A
Step-by-step explanation:
I think that it is most likely C but you could try A to
Help me find the area please!
Answer:
787.5
Step-by-step explanation:
Givens
The bottom part of the figure is a trapezoid. Solve it first
a = 15 cm
b = 34 cm
h = 19 cm
Formula
Area = 1/2 (a + b)*h
Solution Trapezoid
area = 1/2 (15 + 34)*19
Area = 1/2 * 49 * 19
Area = 465.5
Remark
The top half of the figure is a parallelogram.
Formula
Area = base * height
Givens
base = 23
height = 14
Solution
Area = 23 * 14
Area = 322
Total Area
Total Area = 322 + 465.5
Total Area = 787.5
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
Question 6: please help me out here :(((
Answer:
m∠1 = 106
Step-by-step explanation:
Given: m∠5 = 106
Vertical angles are congruent
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Therefore: m∠1 = 106
Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.
Answer:
a) He substituted 0.8 instead of 0.08.
b) $264
Step-by-step explanation:
The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?
HELP!
Answer:
Reagan
Explanation:
Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.
Hope this helps :)
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
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Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
how to find radius of the base examples
Answer:
r=[tex]\frac{c}{2\pi }[/tex]
Step-by-step explanation:
how many times does 35 go into 78?
Answer:
It goes in 2 times
Step-by-step explanation:
Can i have branliest, so i can go up a rank?
Answer:
35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.
Find the slope of the line that passes through (8,6) and (4,15)