Answer: 80 cubic meters (choice B)
==============================================================
Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.
The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.
What is the algebraic expression to model the area of the rectangle?Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".
L be the length of the rectangle
H be the height of the rectangle
By converting the given information into an algebraic expression, we get
Length = 2H - 5
The area of a rectangle is given by the formula;
Area of rectangle = L [tex]*[/tex] H
Where L is the Length.
H is the Height.
Substituting the values into the formula, we have;
Area of rectangle = (2H - 5) [tex]*[/tex] H
Area of rectangle = 2H² - 5H
Therefore, the area of rectangle = 2H² - 5H.
To learn more about algebraic expression of rectangle
https://brainly.com/question/24254457
#SPJ2
A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?
Answer:
[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]
Step-by-step explanation:
.12x + .2y = 14
x + y = 100
Answer:
Its B
Step-by-step explanation:
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B's total points. Translate the scenario.
Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
Find the equivalent percent for ¾
3/4 is equivalent to 75%.
To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.
Answer:
75%....3/4 expressed as a percentage is just multiplying 3/4 and 100
Please read below. Thank you.
2+3=5cm
Step-by-step explanation:
2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer
The equation of circle with center (h,k) and radius r units is
(x - h)^2 + (y - k)^2 = r^2
The equation of the circle with center (2,3) and radius 5 cm is
= (x - 2)^2 + (y - 3)^2 = 5^2
= x^2 - 4x + 4 + y^2 - 6y + 9 = 25
= x^2 + y^2 - 4x - 6y - 12 =0
hope it helps and is right
Your employer offers a 401(k) plan in which they will match 100% of
your contributions, up to 5% of your salary. Suppose you make
$35,000 in a given year, and you contribute $4,000.
Answer:
they will match 5% of 35,000 = $1750
so you total would be $5,750
Step-by-step explanation:
Distributions and Comparing Data Project
Round all answers to the nearest tenth. Present your work in a neat, legible way. Show all work.
Given the data set (16 values):
8, 6, 10, 5, 7, 1, 6, 11, 5, 13, 14, 8, 11, 9, 8, 6
1. Create a histogram and a box plot to represent this data set. What is the shape of the data
representation? Explain your reasoning.
2. Which measure of center and spread would you use to represent this data? Explain your reasoning.
3. Use a random number generator to generate a set of 15 numbers between 1 and 20. Create a
histogram and box plot to represent your data set. Calculate measures of center and spread. Which
measure of center and spread would you use to represent your data?
For questions 6-9 refer to the box plots (Assume their positions are on same number line). Write your
Class A
Class B
Class C
Class D
o
4. Which class(es) appear to have the most consistent scores? Explain your reasoning,
Answer:
1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values
The shape of the box plot created with MS Excel is approximately evenly distributed
2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class
3. Part A
The 15 numbers between 1 and 20 generated by a random generator are;
1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11
The measure of center is the mean = (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3
The measure of spread used is the variance, s² = 32.38
[tex]Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}[/tex]
[tex]{\sum \left (x_i-\bar x \right )^{2} }[/tex] = 453.333
n = 15
s² = 453.[tex]\overline 3[/tex]/(15 - 1) = 32.38
Part B
The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.
Answer:
Y = 1/4 x -3
Step-by-step explanation:
x1 y1 x2 y2
0 -3 -8 -5
ΔY -2
ΔX -8
slope= 1/4
B= -3
Y =0.25X +-3
find the missing length
Answer: x = 120
Step-by-step explanation:
Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex] since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.
Which equation represents the graph?
y=3x²-4
y=-3x²-4
y=-3x²+4
y=3x²+4
Marcelino Co.'s March 31 inventory of raw materials is $82,000. Raw materials purchases in April are $600,000, and factory payroll cost in April is $388,000. Overhead costs incurred in April are: indirect materials, $53,000; indirect labor, $28,000; factory rent, $36,000; factory utilities, $25,000; and factory equipment depreciation, $52,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $630,000 cash in April. Costs of the three jobs worked on in April follow.
Answer:
Gross Profit for Job 306 is $192,000
Step-by-step explanation:
Raw Material used $682,000
Indirect Material used $53,000
Indirect Labor $28,000
Factory rent $36,000
Factory utilities $25,000
Factory equipment depreciation $52,000
Total cost $876,000
Job 306 cost allocation : $876,000 * 50% = $438,000
Revenue of Job 306 : $630,000
Gross Profit = $192,000
Please help ASAP!!!
What is the value of X
Answer:
x=5
Step-by-step explanation:
since this is an isosceles triangle, this means that the two base angles are equal. therefore, 8y-7=73°, meaning that y = 10° (although we don't really need to know that since you're just supposed to find x).
the angles of a triangle add up to 180°, so we can add all the angles and set them equal to 180° to find x.
6x+4+73+73=180
6x+150=180
6x=30
x=5
Solve for x
Need help asap
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of [tex]2x+6[/tex] corresponds with the angle marked as [tex]x+9[/tex]. Therefore, its measure must also be [tex]x+9[/tex].
Since these two angles form one side of a line which has 180 degrees, we have the following equation:
[tex]2x+6+x+9=180[/tex]
Combine like terms:
[tex]3x+15=180[/tex]
Subtract 15 from both sides:
[tex]3x=165[/tex]
Divide both sides by 3:
[tex]x=\frac{165}{3}=\boxed{55}[/tex]
Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−5x+3x−5=0 Step 2: Group terms together and find GCF. (3x2−5x)+(3x−5)=0 x(3x−5)+1(3x−5)=0 (3x−5)(x+1)=0 Step 3: Apply the Zero Product Property. 3x−5=0 or x+1=0 Step 4: Solve. x= or x=
Answer:
x = (5/3)
x = -1
Step-by-step explanation:
[tex]3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}[/tex]
You would just need to solve the two equations from step three for 'x'.
Hope this helps you.
If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number.?
Answer:
5:3
Step-by-step explanation:
40% = 2/5
If the numbers are x and y, then
2/5 x = 2/3 y
Divide both sides by 2/5
x = (2/3 * 5/2)y
x = 10/6 y
x = 5/3 y
So the required ratio is 5 : 3.
Checking this result:
10% of 5 = 2
2/3 of 3 = 2 also.
A bakery sold a total of 500 cupcakes in a day, and 83% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Answer:
percent * base = amount
.83 * 500 = amount
amount = 415
Step-by-step explanation:
giving crown
1) At the store, 2 pounds of beans cost $3.15, 5 pounds of rice cost $7.50, 4 pounds of cabbages cost $4.54, and 7 pounds of alfalfa cost $8.95. Which item has the lowest unit price?
(A) Beans(B) Rice(C) Cabbages(D) Alfalfa
2) Peanuts are sold at the general store in the following quantities: 2¢ for one peanut; 50 peanuts for 99¢, 100 peanuts for $1.99, and 50,000 peanuts for $1000. Which quantity has the lowest unit price?
(A) 1 peanut(B) 100 peanuts(C) 50 peanuts(D) 50,000 peanuts
3)The ratio of trees to shrubs in the garden was 7 to 13. If there were 273 shrubs in the garden, how many trees were there?
(A) 420(B) 147(C) 1911(D) 507
Answer:
3) = B
Explanation:There are 147 trees.
Guided Practice
Which model is most appropriate for the set of points?
(–3, 6), (–1, 0), (0, –1), (1, –1.5)
A.
exponential
B.
quadratic
C.
linear
Answer:
B. quadratic
Step-by-step explanation:
Answer: The model that is most appropriate for the set is: Quadratic
Answer:
exponential
Step-by-step explanation:
Just took the test
Emily says that the lengths of the sides of her prism are 6 inches 5 inches
and 3 inches. Is Emily correct? Use words and numbers to explain why or
why not.
The coach of a lacrosse team bought ice cream cones to celebrate a victory. A single-scoop cone was $3 and a double-scoop cone was $5 The coach bought 15 cones and paid $57. A system of equations describing this situation could be written in the form below where s represents the number of single cones andd represents the number of double cones. What is the sum of A, B, C and E?
Answer:
s=9
d=6
Step-by-step explanation:
s+d=15
3.s+5.d=57
⇒s=9 và d=6
The sum of A, B, C, and E is 23. Let's set up a system of equations based on the given information: s: number of single-scoop cones
d: number of double-scoop cones
1. The coach bought 15 cones in total:
s + d = 15
2. The cost of a single-scoop cone was $3 and the cost of a double-scoop cone was $5, and the total payment was $57:
3s + 5d = 57
Now, let's find the values of s and d by solving the system of equations.
First, we can use the first equation to solve for s in terms of d:
s = 15 - d
Now, substitute this value of s into the second equation:
3(15 - d) + 5d = 57
Now, solve for d:
45 - 3d + 5d = 57
2d = 57 - 45
2d = 12
d = 6
Now that we have the value of d, we can find the value of s using the first equation:
s = 15 - d
s = 15 - 6
s = 9
So, the number of single-scoop cones (s) is 9, and the number of double-scoop cones (d) is 6.
Now, let's find the sum of A, B, C, and E:
A: The number of single-scoop cones (s) is 9.
B: The number of double-scoop cones (d) is 6.
C: The cost of a single-scoop cone is $3.
E: The cost of a double-scoop cone is $5.
A + B + C + E = 9 + 6 + 3 + 5 = 23
So, the sum of A, B, C, and E is 23.
To know more about sum:
https://brainly.com/question/31538098
#SPJ2
− 10x− 6y = 12
4x+ 7y =− 14
x=0, y=-2
tell me if u need the explanation
Evaluate:
3 - - 10-9 divided by (-1)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3 - -10 - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{= 3 - (-10) - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{= 3 + 10 - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{3 + 10}\\\\\mathsf{= \bf 13}[/tex]
[tex]\mathsf{= \bold{13} - \dfrac{9}{-1}}[/tex]
[tex]\mathsf{\dfrac{9}{-1}}\\\\\mathsf{= 9\div-1}\\\\\mathsf{= \bf -9}[/tex]
[tex]\mathsf{= 13 - (\bf -9)}[/tex]
[tex]\mathsf{= 13 + 9}[/tex]
[tex]\mathsf{= \bf 22}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 22}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 10 hours? What is the rate of speed of the jet?
980 miles
Step-by-step explanation:
5 hours =490miles
1 hour =490/5=98miles
10hours = 98×10=980miles
What is the value of f(x) = 2 • 2 x for f(–2)?
Answer:
-8
Step-by-step explanation:
you know, all you have to do in such a case is simply taking the given -2 and put it, where there is "x" in the function expression and then calculate this. if necessary with a calculator.
2×2×x with x=-2 is
2×2×-2 = -8
Answer:
- 8
Step-by-step explanation:
f ( x ) = 2 . 2 x
f ( - 2 )
= 2 . 2 ( - 2 )
= 2 x 2 x ( - 2 )
= - 8
Bike speed of 21miles per hour. What is the speed per minute how many miles will the cyclist travel in 10 minutes
Answer:
First part: 0.35 miles per minute
Second part: 3.5 miles in 10 minutes
Step-by-step explanation:
Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator. So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is 0.35 miles per minute.
Using what we got, we can answer the second part of the distance covered in 10 minutes. So, we just multiply 0.35 by 10 which is 3.5 miles covered in 10 minutes.
The power 9 squared is equivalent to 81. What is the value of 9 Superscript negative 2?
Answer:
1/81
Step-by-step explanation:
9^2 = 81
We know that a^ -b = 1/a^b
9^-2
1/9^2
1/81
Answer:
1/81
Step-by-step explanation:
Edge
In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same size. A person can wager on either red or black. Green is reserved for the house. If a player wagers $5 on either red or black and that color comes up, they win $10 otherwise they lose their wager. What is the expected value of playing the game once
Answer:
-$0.26
Step-by-step explanation:
Calculation to determine the expected value of playing the game once
Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]
Expected value= ($18/38 x $5) - (20/38 x $5)
Expected value= ($2.37-$2.63)
Expected value= -$0.26
Therefore the expected value of playing the game once is -$0.26
Translate sentence into equation
nine more than a product of a number and 4 is 8
Answer:
If x is the required number, equation will be 9+4x=8
A mixture of jellybeans is to contain twice as many red as yellow, three times as many green as yellow, and twice as many pink as red. Red jelly beans cost $1.50 per pound, yellow cost $3.00 per pound, green cost $4.00 per pound, and pink only costs $1.00 per pound. How many pounds of each color jellybean should be in a 10 pound canister that costs $2.20 per pound?
answer nowwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
7/6
Step-by-step explanation:
(7x/12)/(x/2)
=7/6
