Given:
Two weeks ago, the cost of tickets = $30
Now, the cost of tickets = $39
To find:
The percent increase.
Solution:
We have,
Initial value = $30
New value = $39
Formula for percentage increase is:
[tex]\%\text{increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]
Using this formula, we get
[tex]\%\text{increase}=\dfrac{39-30}{30}\times 100[/tex]
[tex]\%\text{increase}=\dfrac{9}{3}\times 10[/tex]
[tex]\%\text{increase}=3\times 10[/tex]
[tex]\%\text{increase}=30[/tex]
Therefore, the percent increase in the cost of tickets is 30%.
AB is parallel to ED.
ACD and BCE are straight lines.
AB = 8 cm
AC = 4.8cm
BC = 6.4cm
ED = 20 cm
Work out the length of BE.
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values
[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
Point A is at (-1,8) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
( 3, 5.5 )
Step-by-step explanation:
Let,
( x1, y1 ) = ( 7, 3 )
Where,
x1 = 7
y1 = 3
Let,
( x2, y2 ) = ( - 1, 8 )
Where,
x2 = - 1
y2 = 8
Formula : -
Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Midpoint of AB
= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2
= 6 / 2, 11 / 2
= ( 3, 11 / 2 )
= ( 3, 5.5 )
What is 9 x 7 squared
Answer: 441
Step-by-step explanation:
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
You are reading an article in your school newspaper
True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
The floor of the school music room is being tiled. The room is shaped like a parallelogram. The parallelogram has a base of 25 feet and a height of 11 feet. Each package of tile will cover 5 square feet. How many packages of tile will be needed to tile the music room floor? A=bh *
Answer:
Number of tile package need = 55 package of tile
Step-by-step explanation:
Given:
Base of parallelogram = 25 feet
Height of parallelogram = 11 feet
Each package of tile cover = 5 square feet
Find;
Number of tile package need
Computation:
Area of parallelogram = Base of parallelogram x Height of parallelogram
Area of parallelogram = 25 x 11
Area of parallelogram = 275 square feet
Number of tile package need = Area of parallelogram / Each package of tile cover
Number of tile package need = 275 / 5
Number of tile package need = 55 package of tile
PLEASE HELP I'M ON THE FINAL MATH TEST AND GOT A 64 ON THE FIRST ATTEMPT AND I DON'T WANT TO FAIL AGAIN I'LL GIVE 100 POINTS BUT I HAVE SEEN A LOT OF PEOPLE SAYING IT'S 81 AND THAT IS WRONG
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.
A map of the aquarium at the City Zoo. A triangle has points whales, sharks, dolphins. The distance from Whales to sharks is 54 feet and from whales to dolphins is 30 feet. A triangle with points Dolphins, fish tanks, penguins. The distance from dolphins to fish tanks is 45 feet, and from penguins to fish tanks is x feet.
What is the distance between the penguins and the fish tanks?
25 feet
36 feet
69 feet
81 feet
Answer:
A. 25 feet
Step-by-step explanation:
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
Solve for v.
6v – 4v – 3 = 9
V =
= [?]
Answer: v=6
Step-by-step explanation:
Answer:
6 it's because I did this stuff in 6th grade.
Step-by-step explanation:
2 x ? -3=9. 2 x 6 - 3 = 9
write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
11m −4/3=2m+5/3
pls tell me this answer is the answer 3
Answer:
m=1/3
Step-by-step explanation:
11m- 4/3=2m+5/3
-2m. - 2m
9m -4/3=5/3
+4/3.+ 4/3
9m= 9/3
m=1/3
please help!!
show work(factoring)
u^4 - 3u^2 - 4
What is the number of the parking space covered by the car?
Answer:
87
Step-by-step explanation:
Look at it upside down!
Given
PQ 1 PS
mZQPR = 73 – 9°
mZRPS = 4x + 22
Find mZQPR:
87
R.
Р
S
Answer:
The answer is in the picture.
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
please answer question 4
They reject if the pie is more than 3.2oz from 28oz.
The scale shows positive number if its more than 28oz.
The scale shows negative number if its less than 28oz.
The scale shows zero if its 28oz.
A . Scale reads -2.8oz which means less than 28oz, So accepted.
B. Scale reads 3.5oz which means 3.5oz more than 28oz. So rejected.
C. Scale reads -3.3oz which means less than 28oz, So accepted.
D. Scale reads 28oz which means more than 28oz, So rejected.
please help w this question! would appreciate if you explained how you got it but its okay if you don't
Answer:
22
Step-by-step explanation:
49 (the whole length of the angle) - 27 (part of the angle) = 22 (the other part)
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
A baby pool contained 50 gallons of water. Water leaked out of the pool at a rate of 10 gallons every 3 days. At this rate, how many days did it take all 50 gallons of water to leak out of the barrel?
Answer:
15 days
Step-by-step explanation:
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism
Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
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help me plsssss whoever answers correctly gets brainliest:)
Answer:
0.6 meters² or 0.6 square meters (basically the same thing but written differently)
Step-by-step explanation:
2.4 x 0.5 = 1.2
1.2/2 = 0.6
A ladder that is 30 feet long is placed against a house. The location of the ladder is 8 feet from the base of the house. How far up the house does the ladder reach? Round your answer to the nearest tenth of a foot
Answer:
28.9 m
Step-by-step explanation:
30²-8²=900-64= 836
√836 = 28.9 m
The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
What is pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Here, Given, length of ladder ( Hypotenuse ) = 30 ft.
Distance from base = 8 ft.
By Pythagoras theorem,
Hypo.² = perp.² + base²
30² = x² + 8²
900 = x² + 64
x² = 900 - 64
x² = 836
x = √836
x = 28.91 ft.
Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
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y = 2x - 8
I need the answer
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
4. Gloria makes $750 a week PLUS
3% commission on her sales.
Her sales were $1000 for the week.
How much did Gloria earn for the
week?
A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rectangular?
length =_____ cm
Width=_____ cm
9514 1404 393
Answer:
length 5 cmwidth 3 cmStep-by-step explanation:
Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.
A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image
after the translation (x,y) → (x +5, y - 1)?
Prin
The coordinates are (3, 2) →
and (-2,5)
Complete the description of the translation.
The triangle is translated
unit(s) to the right and
unit(s) down.
Answer:
The triangle is translated 2 units down and 4 units to the right.
Step-by-step explanation:
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation:
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.