One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch
graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5
graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2
graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4
graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3
I don't know if it's right tho :C
Answer:
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)
PLEASE HELP!!!
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).
Answer:
you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.
500*.8=400
Answer:
Step-by-step explanation:
This is the right answer
I screenshot the picture and it shows i got it right
Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet
Answer:
He initially has $50 on his card.
For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:
b(x) = $50 - $10*x
Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.
Then the domain of this function will be discrete (and this implies that the range must also be discrete)
Where the possible values of x are:
{0, 1, 2, 3, 4, 5}
(after x = 5, there is no more money in the card)
And the possible values of b(x) are:
{$0, $10, $20, $30, $40, $50}
Divide the fractions. Don’t simplify
3/4 divided by 5/2
2x - x -1 = -1 + x
I need help on this problem may you help please
Answer:
x=0
Step-by-step explanation:
y < -6( x − 18) − 2 when y = 46?
Well since y would be 46 if this is just you trying to find x, the answer would be x < 10
The discount of a hat is 18 Dollars,
what is the regular price
20°/• discount
Answer:
14.4 dollars
Step-by-step explanation:
the Hat has 20 percent discount
The Hat with discounted price is 18 dollars
the 20% of 18 dollar is 3.6 dollars
hence if we subtract 3.6 dollars from 18 dollars
we get 14.4 dollars as regular price
Justin runs 5 laps around the track in 8 minutes. If Justin runs 12 laps at the same rate, how long will it take? Write your answer using numbers only, no units.
PLEASE ANSWER
WILL MARK BRANLIEST
Answer:
the answer should be 19.2
If $500 was earned on $10,000 total worth of sales, then the commission rate is:
Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?
Answer:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Step-by-step explanation:
Let cost of a candle = [tex]x[/tex]
Let cost of a wallflower = [tex]y[/tex]
Let cost of a lotion = [tex]z[/tex]
Cost of 4 candles = 4[tex]x[/tex]
Cost of 5 wallflowers = 5[tex]y[/tex]
Cost of 6 lotions = 6[tex]z[/tex]
Cost of 2 candles = 2[tex]x[/tex]
Cost of 3 wallflowers = 3[tex]y[/tex]
Cost of 1 lotion = [tex]z[/tex]
As per question statement:
[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]
Using equation (3) in (1) and (2), the equations get reduced to :
[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]
Multiplying (5) with 2 and subtracting from equation (1):
[tex]7y = 35\\\Rightarrow y = 5[/tex]
By equation (3):
[tex]\Rightarrow z =8[/tex]
By equation (4):
[tex]\Rightarrow x = 12.5[/tex]
Therefore, the answer is:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
What is the simplified form of 1 over x minus 2 over x squared minus x ? (1 point)
x minus 1 over the quantity x times x plus 1
1 minus x over the quantity x times x plus 1
3 minus x over the quantity x times x minus 1
x minus 3 over the quantity x times x minus 1
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
PLEASE HELPPP IDEK WHEN WE LEARNED THISSS
Answer:
1 in 52 I THINK DONT BE MAD IF ITS WRONG :(
Step-by-step explanation:
Because there are 52 cards in the deck and you need to pull out 1 card so its 1 in 52 chance
The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?
Answer:
-3
Step-by-step explanation:
Solve
Log(x-1)+log(2)=7
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
Three is less than the sum of a number x and 4.
Answer:
3 < x+4
Step-by-step explanation:
The less than symbol is <
3 is less than the sum ( add) of x and 4
3 < x+4
Solving
Subtract 4 from each side
3-4 < x+4-4
-1 <x
There are 16 circles and 12 squares. What is the simplest ratio of squares to circle
Answer:
4:3
Step-by-step explanation:
divide each by 4
A 2-gallon jug of water costs $14.24. What is the price per quart?
Answer:
p
Step-by-step explanation:
p
Simplify
20
What the answer?
Answer:
2√5
Step-by-step explanation:
√20
√4 ×√5
2√5
Follow Me Please
Answer:
2√5
Step-by-step explanation:
√20=√2⋅2⋅5. =√22⋅5. =2√5.
How can 14 x 50 help you find 14 x 49?
Answer/Explanation:
It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.
Hope this helps! Have an amazing day ❤
What number is 60% of 80?
Input only whole numbers.
Answer:
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]
[tex] 60\% \: of \: 80 \\ = \frac{60}{100} \times 80 \\ = \frac{4800}{100} = 48[/tex]
[tex]\color{purple}{HOPE}[/tex] [tex]\color{purple}{THIS}[/tex] [tex]\color{purple}{WILL}[/tex] [tex]\color{purple}{HELPS}[/tex] [tex]\color{purple}{YOU}[/tex]
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Answer:
d. 92 cm
Step-by-step explanation:
P = 2(34 + 12)
P = 2(46)
P = 92
Answer:
is it d or 92
Step-by-step explanation:
help me figure out the icons numbers plzzz
Answer:
ahhhhhhhhhhh
Step-by-step explanation:
Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.
Solve d - (-2) = 19 for d.
d =
Answer:
D = 17
Step-by-step explanation:
17 - (-2) = 19
Answer:
D=17
Step-by-step explanation:
..................
Find the slope between the two points: (20, 8), (9, 16)
Answer:
[tex] \huge - \frac{8}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{8}{11} \\ [/tex]
Hope this helps you
Answer:
[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]let's solve:let (20,8) and (9,16) be start and end points respectively
according to the question
[tex] \sf\frac{8 - 16}{20 - 9} [/tex][tex] \sf substract : \\ \sf \frac{ - 8}{11} [/tex]and we are done
What is the slope of the line graphed on the coordinate plane?
Answer:
3/4 slope
Step-by-step explanation:
Mark me brainleist please ;c
don’t make me cry ;c
Step-by-step explanation:
When the line moves up 3 blocks, it also moves across 4 blocks.
Therefore the slope of the line is 3/4.
What is the ratio of 4 red apples and 3 green apples
Answer:
4:3 8:6 12:9 so on
Step-by-step explanation:
Answer:
4 to 3 or 3 to 4
Step-by-step explanation:
depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.
A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21
Answer:
Equation E, Equation B, Equation C are equivalent
Step-by-step explanation:
Given Equation:
0.6 + 15b + 4 = 25.6
Check all that applies
Equation A: 15b + 4 = 25.6
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
NOT CORRECT
Equation B: 15b + 4 = 25
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
CORRECT
Equation C: 3(0.6 + 15b + 4) = 76.8
0.6 + 15b + 4 = 25.6
Multiplying both sides by 3
(0.6 + 15b + 4) ×3 = 25.6 × 3
(0.6 + 15b + 4) ×3 = 76.8
CORRECT
Equation D: 15b = 25.6
0.6 + 15b + 4 = 25.6
NOT CORRECT
Equation E: 15b = 21
0.6 + 15b + 4 = 25.6
15b = 25.6 - 0.6 - 4
15b = 21
CORRECT
Equation E, Equation B, Equation C are equivalent
Answer all questions
DO NOT ANSWER IF YOU DO NOT KNOW
DO NOT SCAM
Answer:
1. The Industrial Revolution had many positive effects. Among those was an increase in wealth, the production of goods, and the standard of living. People had access to healthier diets, better housing, and cheaper goods. In addition, education increased during the Industrial Revolution.
3.Socialism is an economic and political system. It is an economic theory of social organization. It states that the means of making, moving, and trading wealth should be owned or controlled by the workers. This means the money made belongs to the workers who make the products, instead of groups of private owners.
6.Under capitalism, you work for your own wealth. ... Socialist systems emphasize equal distribution of wealth among the people. Communism. In a way, communism is an extreme form of socialism.
Step-by-step explanation:
that's all I know!!