4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week
Answer:
$420
Step-by-step explanation:
Divide to isolate the cost
240 / 4 = 60 - amount per person (for 4 people)
60 / 5 = 12 - amount per person per day (5 days)
Multiply using that cost and new values.
12 x 5 = 60
60 x 7 = 420
which number is a composite number 9 5 2 11? (Need it ASAP)
Answer:
9
Step-by-step explanation:
A composite number is a number that has factors other than 1 and the number itself.
5 has no factors except 1 and 5. PRIME
2 has no factors except 1 and 2. PRIME
11 has no factors except 1 and 11. PRIME
9 can be multiplied by 3 and 3. COMPOSITE
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hope it helps
Expand the function.
f(x) = (3x - 1)3
Answer:
[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]
[tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
We have,
To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:
(a + b)³ = a³ + 3a²b + 3ab² + b³
In this case,
a = 3x and b = -1.
Substituting these values into the formula, we get:
[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]
Simplifying further:
(3x - 1)³ = 27x³ - 9x³ + 9x - 1
Therefore,
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
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What's the rule for the following sequence?
4, 1, -2, -5, …
Answer:
7-3n
Step-by-step explanation:
the difference between 4, 1 is 1 -4= -3
the difference between 1, -2 is-2-1=-3
The formula is a + (n-1)d => 4 + (n-1)-3
=> 4 -3n +3
=> 7-3n
Answer:
Subtract -3
Step-by-step explanation:
4--3 is 1, 1--3 is -2, -2- -3 is -5, when subtracting negatives they add together to from a bigger negative.
There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.
Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
Answer:
Step-by-step explanation:
The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is
x + y = 15
Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is
9x + 12y = 150
Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.
Question: Find the area of the orange shaded region in terms of pi.
Answer:
84π sq. units
Step-by-step explanation:
radius of little orange circles = 2
There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).
Total area of 3 little orange circles = 3*π*2^2 = 12π
radius of 4 medium white circles = 3
Total of area of 4 medium white circles = 4*π*3^2 = 36π
radius of middle white circle = 6
Area of middle white circle = π*6^2 = 36π
Radius of the big circle = 12
Area of the big circle = π*12^2 = 144π
Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π
which of the following is equal to |-8+4|?
Answer:
-8+4=-4
sign of bigger number, and -×+=-
Which number is the closest approximation of 39?
Answer:
Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6
Step-by-step explanation:
129,454,475,954 Which digit is in the hundred-thousands place?
Answer
129,454,475,954
Step-by-step explanation:
it is the four in bold
Answer:
4 is in the hundred-thousands place.
Explanation:
129,454,475,954
(the one that I bolded and underlined out)
the sum of three consecutive natural number is 30 find the numbers
Answer:
9 + 10 + 11
Step-by-step explanation:
guess and check
Answer:
9,10,and 11
Step-by-step explanation:
help me plzz pllz help now im on a time line
Answer:
Oki, mizuki here to help!
Hi there user, looks like you need help!
Anyways, option B is the correct answer!
Step-by-step explanation:
How to find average speed: distance/time
Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!
Hope this helped!
Step-by-step explanation:
we know that
Speed = Distance/ Time
so the correct answer is B
what is 20% of 90???
Answer:
answer :
18
Step-by-step explanation:
use calculator it's easy to solve
Answer:
18
Step-by-step explanation:
20% of 90 = (20/100 )* 90
= 1/5 * 90
= 18
what are the points when you graph y = -7x -1
Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)
Step-by-step explanation:
Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.
A rectangular-shaped school courtyardhas a length of 280 feet and a width of150 feet wide. What is the approximatelength of a diagonal of the courtyard tothe nearest tenth?
Answer:
317.6 feet
Step-by-step explanation:
the length of the diagonal can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
280² + 150²
= 78,400 + 22,500
= 100,900
take the square root of 100,900
= 317.648 feet
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
317.6 to the nearest tenth
1/5 divided by 2 = ___
Answer:
0.1
Step-by-step explanation:
According to my calculator lol
Answer:
1/10
Step-by-step explanation:
1/5 / 2/1
1*1/5*2
=1/10
A running track has two semi-circular ends with radius 29m and two straights of length 91.3m as shown. Calculate the total area of the track rounded to 1 DP.
Answer:
13617.2 m^2
Step-by-step explanation:
5281.5
Please help me with this.
Answer:
M1=35, M2=77, M3=49, M4=77, M5=62, M6=28
Step-by-step explanatio
Answer:
Angle 1) 35
Angle 2) 77
Angle 3) 49
Angle 4) 77
Angle 5) 62
Angle 6) 28
Step-by-step explanation:
Start with angle 3)
You have 2 angles for this one already, 90 and 41
All angles in a triangle have the sum of 180, therefore
Angle 3 = 180 - 90 - 41
Angle 3 = 49
Next is Angle 6)
You have Angle 3 and 103
Angle 6 = 180 - 49 - 103
Angle 6 = 28
Now Angle 2)
Angle 2 is on the same line as 103 and are supplementary, the sum is 180
Angle 2 = 180 - 103
Angle 2 = 77
Angle 4)
2 and 4 are vertical opposites with the same measurement, so 77
Angle 1)
Using Angles 1 and 2 and 68, they have a sum of 180
Angle 1 = 180 - 77 - 68
Angle 1 = 35
Angle 5)
Now with Angle 4 and 41 thats given, Angle 5 is
180 - 77 - 41 = 62
Two angles are supplementary. One angle is twenty less than four times the other angle. Find the measure of the larger angle.
180°
140°
130°
40°
NO LINKS
If two angles are supplementary, then they add up to 180.
Angle 1 = twenty less than four times the other angle
Angle 2 = the other angle
Angle 2 = 1x
Angle 1 = 4x - 20
Next, we can add up angles 1 and 2 and set the sum equal to 180.
x + 4x - 20 = 180
5x - 20 = 180
5x = 200
x = 40
Now that we know x, we can find the values of our angles.
Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees
Angle 2 = 40 degrees
Hope this helps!! :)
Does (8,4) make the equation y = x true?
Answer:
false
Step-by-step explanation:
(8,8) or (4,4)
What is the inverse of the function g(x) = x + 16?
Answer:
[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]
choose (2)
Which of the following is an arithmetic sequence?
Please help I will give brainliest
Answer:
52, 60, 68, 76..
Step-by-step explanation:
Solve graphically: 2x - y = 7 and x - 2y = 5.
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)
The answer please for my online class
Answer:
B. -500
Step-by-step explanation:
[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]
[tex] = \dfrac{2^2a^8}{a^5} [/tex]
[tex] = 4a^3 [/tex]
[tex] = 4(-5)^3 [/tex]
[tex] = 4(-125) [/tex]
[tex] = -500 [/tex]
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
WILL GIVE BRAINIEST
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat. The probability of randomly selecting a number less than 16 is . Choose the likelihood that best describes the probability of this event. A. Neither likely nor unlikely B. Impossible O C. Likely D. Unlikely
Answer: Likely
Step-by-step explanation: I got it right!
Answer:
C. Likely
Step-by-step explanation:
Hope it helps :)
A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?
Answer:
Parallelogram has greater area.
Step-by-step explanation:
Given:
Base of parallelogram = 9 km
Height of parallelogram = 5 km
Base of triangle = 6 km
Height of triangle = 3 km
Find:
Greater area
Computation:
Area of parallelogram = Base x Height
Area of parallelogram = 9 x 5
Area of parallelogram = 45 km²
Area of triangle = (1/2)(b)(h)
Area of triangle = (1/2)(6)(3)
Area of triangle = (1/2)(18)
Area of triangle = 9 km²
Parallelogram has greater area.
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
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The simple interest on 400 invested for 4 month was 12.what is the yearly rate of interest
Answer:
9%
Step-by-step explanation:
If you get 12 for 4 months, then you get 36 for the year/12 months
Annual interest is $12 x 3 Months =36
36/400=9%.
Here is an inequality: -2x>10
List some values for x that would make this inequality true.
Answer:
The right solution is "[tex]x>-5[/tex]".
Step-by-step explanation:
The given inequality is:
⇒ [tex]-2x>10[/tex]
By solving the above expression, we get
⇒ [tex]x >-\frac{10}{2}[/tex]
⇒ [tex]x>-5[/tex]
Thus the above is the correct answer.