Answer:
There are 3 modes: 8, 7, 9
Step-by-step explanation:
Mode is the number that appears the most often
The cube of the sum of two
numbers x and y.
A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 foot less than the width. Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet. Your answer should be in the form of a polynomial equals a constant.
answer: 2w^3 - 9w^2 + 10w = 528
The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 feet less than the width. Then the equation will be
L = 2W - 5 ...1
H = W - 2 ...2
Then the polynomial is given as,
V = L x W x H
528 = (2W - 5)(W - 2)W
528 = (2W² - 5W)(W - 2)
528 = 2W³ - 4W² - 5W² + 10W
0 = 2W³ - 9W² + 10W - 528
Factorize the equation, then we have
2W³ - 4W² - 5W² + 10W - 528 = 0
(W - 8)(4W + 7)² = 0
W = 8, 1.75i, and -1.75i
Then the length and height will be
L = 2 x 8 - 5
L = 11 feet
H = 8 - 2
H = 6 feet
The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.
More about the volume of the rectangular prism link is given below.
https://brainly.com/question/21334693
#SPJ2
Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
−x+| y |=
Answer:
- 25/12
Hope it helps!
You want to buy a book the book is 8.50 but 24% off. How much will the book with 8% tax included?
Answer:
6.98
Step-by-step explanation:
8.50x.76(the remainder of 100 after 24 is taken out) =6.46
8% of 6.46 is around 52 cents
6.46+.52=6.98
If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers but the number of cheeseburgers sold was two
times the number of hamburgers sold. How many hamburgers were sold
Answer:
141
Step-by-step explanation:
First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.
Let x = number of hamburgers.
Let y = number of cheeseburgers.
Now we use the given information to write two equations using the variables we defined above.
"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"
x + y = 423
"the number of cheeseburgers sold was two
times the number of hamburgers sold"
y = 2x
We have a system of two equations.
x + y = 423
y = 2x
Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.
x + y = 423
x + 2x = 423
3x = 423
x = 141
Since we let x = number of hamburgers, we have the answer.
Answer: 141
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x-4y=9
Answer:
(2.405, 1.357)
General Formulas and Concepts:
Algebra I
Coordinate Planes
Coordinates (x, y)Graphing systems of equationsStep-by-step explanation:
To find the solution to a systems of equations, we can graph the functions in a coordinate plane and find where the 2 lines intersect. Where the 2 lines intersect is the solution to the systems of equations.
A coffee shop currently sells 400 lattes a day at $2.75 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 40 less lattes a day.
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
A population numbers 11,000 organisms initially and grows by 7.7% each year.
Answer:
84,700 is the answer. If I multiply
f(x,y,z)=xyz'+xy'z+xy'z'+x'yz+x'y'z.
V = 1/3 π r^2h; If V = 48 π when r = 4, find h
Answer:
[tex]48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9[/tex]
Please help me!!! I really need this done!!!
Answer: c(t) = 2.4x + 6
ill give you the first two points, then you just go up 2.4 each hour
(0, 6)
(1, 8.4)
Answer:
c (t) = 2.4x+6
Step-by-step explanation:
if wrong pls forgive me
hope it helps tho
What is y if 2y= 8x + 6
Answer:
[tex]y = \frac{8x + 6}{2}[/tex] = 4x + 3
Step-by-step explanation:
2y = 8x + 6
y = (8x + 6) / 2
y = 8x / 2 + 6 / 2
y = 4x + 3
Pablo elp meeeeeee vvvv wwwwww ww w w
Answer:
pablo and lakaka vvvvvvvvvvvvvv
Step-by-step explanation:
What is the difference between a part to part ratio and a part to whole ratio. Use the example of a bowl that has two oranges and five bananas.
Part to part ratio
For 2 oranges and five bananas
2oranges:5bananas(2:5)
Part to whole ratio
2oranges:7pieces of fruit(2:7)
5bananas:7pieces of fruit (5:7)
All the best!
The table below represents a linear function. Find the
value of y when x = 2.
- 2
0
4
6
y
4
8
16
20
Answer:
y = 10x - 6
Step-by-step explanation:
If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.
Note that the first pair is (0, -6) and the last pair is (4, 34). The 'run' is from x = 0 to x = 4, a 'run' of 4. The 'rise' is from -6 to34, a 'rise' of 40. Thus, the slope of this line is m = rise / run = 40/4 = 10.
E
01:24
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10
o(-2)(-2)(x+3) =-10(-2)
3–20x+ 3) --10(
2(x+3) = -10
f(x+3) - 10
Answer:
hi
Step-by-step explanation:
the answer is A
If 37 grams of pure drug are contained in 150 milliliters, how many grams are contained in 75 milliliter?
Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
multiply 35 by the ratio 1/2
35/2=17.5
Blake bought a total of 24
doughnuts. Each doughnut cost
$0.84, including tax. Of the
doughnuts he bought, 5/8 were
glazed doughnuts. What was the
total cost of the glazed doughnuts?
Answer:
$27.60
Step-by-step explanation:
Step 1: Find 5 over 8 of 24
[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.
[tex]\frac{5}{8} \times 24[/tex]
Or
[tex]\frac{5}{8} \times \frac{24}{1}[/tex]
Cross divide 8 and 24
[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]
So we are left with
[tex]5\times 3[/tex]
Remember, "1" doesn't change anything.
Simplify
[tex]5\times 3 = 15[/tex]
Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.
Step 2: Add the tax to the cost of the glazed doughnuts.
[tex]\$0.84[/tex]
To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.
[tex]15\times \:0.84=12.60[/tex]
Now, add the result to the total.
[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)
The total cost of the glazed doughnuts is $27.60What are the x-intercepts of the parabola?
(4.5, 0) and (5,0)
(0, 4.5) and (0,5)
(0,5) and (0,4)
(5,0) and (4,0)
Answer:
(5, 0) and (4, 0)
General Formulas and Concepts:
Algebra II
Quadratics
Roots/x-intercepts of a parabolaStep-by-step explanation:
The x-intercepts of the parabola is where the quadratic is on the x-axis. According to the graph, we can see that the graph shows that the parabola touches the x-axis at 4 and 5.
∴ our answer is (5, 0) and (4, 0)
i neeed the answer now please
Answer:
D
Step-by-step explanation:
It is a positive gradient therefore the answers cannot be negative. Since it is an increase of 4 dollars it is option D.
An online company is advertising a microwave oven on sale for 35% off the original price of $253.99. What is the sale price for the microwave oven? Round your answer to the nearest cent, if necessary.
Answer:
The answer is $88.90
Step-by-step explanation:
$253.99÷.35=88.896. Rounding up the 6 makes the 89 to 90.
distance between the
points (3,7) (-5,16)
Check (24, 144, 145) is a Pythagorean triplet
Answer:
4, 144, 145 are not Pythagorean triplets
Step-by-step explanation:
According tp Pythagoras theorem,
Sum of squares of two sides must be equal to square of the third side.
By Pythagoras theorem,
24^2 + 144^2 = 145^2
576 + 20736 = 21025
21312 ≠ 21025
Numbers 24, 144, 145 does not satisfy the Pythagoras theorem.
So, 24, 144, 145 are not Pythagorean triplets.
Hence, checked.
Answer:
It is not a Pythagorean tripletlets talk about the basics of pythagoras (maths)?
Answer:
Is there a question?
Step-by-step explanation:
The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).
This is the definition.
1+1
I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be .
Answer:
1+1= 2
umm r u ok
have a nice day <3
this is a CALCULUS question, "Derivatives As A function"
I want to know the answer and how did u get it, I'm really lost in this subject
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
[tex]f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}[/tex]
Jon has to pay $5.00
admission for the skating rink
and $2.50 per hour to rent
rollerblades. How many
hours can he skate for $15?
Answer: 4 hours
Step-by-step explanation: 15-5=10 10/2.50 =4
Answer:
4 hours
Step-by-step explanation:
$15 is our initial value, and we have a flat fee of $5
15-5=10
We have a remaining $10 left to be divided by the $2.50 per hour
10÷2.50=4
4 tells us the number of hours
Of 100 students, 30 can speak French, 10 can speak German, and 6 can speak both French and German. If a student is picked at random, what is the probability that he or she can speak French or German? (Enter your probability as a fraction.)
Answer:
the correct answer would be 1,800
ggj helpppppppp pls?
(i)To make 8 pancakes 250 ml milk is needed. So, to make 4 pancakes=
(250/8)×4=120 ml is needed!
(ii)To make 8 pancakes 5g butter is needed and to make 12 pancakes=
(5/8)×12=7.5 g butter is needed!
A real estate agent has 10 properties that she shows. She feels that there’s a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute probability of selling no more than six properties in one week
Answer:
Step-by-step explanation:
According to the condition, for any single property the probability not selling it during a week is 100% - 40% = 1 - 0.4 = 0.6.
The probability not selling any one of 13 properties during a week is 0.6%5E13.
The probability to sell at least 1 property in one week is the COMPLEMENT to it