Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Step-by-step explanation:
Given :-
Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.=> n + n +2 = 80
=> 2n + 2 = 80
=> 2n = 78
=> n = 78 ÷ 2
=> n = 39
numbers = 39 &41I need help please I don’t understand it :(
Answer:
[tex](8)[/tex] → [tex]x-(8+2)[/tex]
[tex](9)[/tex] → [tex]x+(8-2)[/tex]
[tex](6)[/tex] → [tex]5-n[/tex]
[tex](5)[/tex] → [tex]8-x[/tex]
[tex](2)[/tex] → [tex]5-n[/tex]
[tex](7)[/tex] → [tex]x+(5+7)[/tex]
[tex](4)[/tex] → [tex]x-8[/tex]
[tex](10)[/tex] → [tex]x+x[/tex]
[tex](1)[/tex] → [tex]n+5[/tex]
[tex](3)[/tex] → [tex]x+8[/tex]
-------------------------
hope it helps...
have a great day!!
In circle E with m DEF 36 and DE = 3 units find area of
sector DEF. Round to the nearest hundredth.
E
Answer:
A ≈ 2.83 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{36}{360}[/tex]
= π × 3² × [tex]\frac{1}{10}[/tex]
= [tex]\frac{9\pi }{10}[/tex]
≈ 2.83 units² ( to the nearest hundredth )
A recipe requires only blueberries and strawberries. This list shows the amounts required for 1/4 of the whole recipe: 1/2 cup blueberries 2/5 cup strawberries In this table, select the number of cups of blueberries and the number of cups of strawberries required for the whole recipe.HELP ASAP
The whole recipe requires 1/2 cup of blueberries and 2/5 cup of strawberries.
To find the amounts required for the whole recipe, we can multiply the amounts required for 1/4 of the recipe by 4:
For blueberries:
1/4 x 4 x 1/2 = 1/2 cups
So, the whole recipe requires 1/2 cup of blueberries.
For strawberries:
1/4 x 4 x 2/5 = 8/20 = 2/5 cups
So, the whole recipe requires 2/5 cups of strawberries.
Therefore, the whole recipe requires 1/2 cup of blueberries and 2/5 cups of strawberries.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ1
log(2x+5)+10=13 SHOW WORK PLEASE
Answer:
x = 497.5
Step-by-step explanation:
that's the correct answer with solution
If anybody could help with this question I would appreciate it so much!!
Answer:
d=7
Step-by-step explanation:
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
pls help will give brainliest
Answer:
132
Step-by-step explanation:
Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height
Answer:
uhh, look it up
Step-by-step explanation:
find the slop if the line through each pair of points (-13,1),(-16,1)
Answer:
[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]
Answer:
Slope is 0
Step-by-step explanation:
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
agregenme o baneo la preguntta
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table. Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data. Hover over each number on the number line. Then click and drag up to create the dots.
Answer:
Step-by-step explanation:
The dot plot of the recorded data in the frequency table is given below.
What is a dot plot?A speck plot, otherwise called a strip plot or dab diagram, is a straightforward type of information perception that comprises information focuses plotted as spots on a chart with an x-pivot and y-pivot.
Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table.
Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data.
Hover over each number on the number line.
Then click and drag up to create the dots.
The graph is shown below.
More about the dot plot link is given below.
https://brainly.com/question/22746300
#SPJ2
A rec Eric Tangler prism as shown to have of 4 cm x 2 cm x 3 cm area
arrange from largest to smallest 1/2, 7/11, 5/8, 2/3
Answer: 2/3, 1/2, 5/8,7/11
Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger
Hope this helps
Answer:
2/3, 7/11, 5/8, 1/2
Step-by-step explanation:
You make them so that they have all the same denominator and it is self explanatory from there :)
GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!
Answer:
-8 or -5
Step-by-step explanation:
Please help,
Find the area of the figure
Answer:
243cm squared
Step-by-step explanation:
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
Let A and B be the two non-right angles in a right triangle.
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
[tex]\sqrt144[/tex]=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
what is the area of B1, =4,B2 =8, h =2
Answer: 12
Step-by-step explanation:
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
Brainliest for correct answer! :)
Answer:
280
Step-by-step explanation:
What is 3x + y = 11 ir slope-intercept form?
Answer:
y= –3x+11
Step-by-step explanation:
hope it helps...
simplify 4x^2+2x/x^2+x-2/8x^2+4x/3x^2+10x+8
Answer:
[tex]\frac{4x^{3} }{3} +\frac{15x^{2} }{4} +11x+\frac{2}{x} +8[/tex]
Step-by-step explanation:
Answer:
3x+4/2(x-1)
Step-by-step explanation:
I took the quiz
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.
Can someone help pleasee
Answer:
10
Step-by-step explanation:
The diagonals of a rectangle are congruent.
RT = QS = 10
Answer: RT = 10
Answer:
Your answer should be 10.
Step-by-step explanation:
In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.