Answer:
Step-by-step explanation:
Givens
Let the smallest integer = x - 1 (You'll see why in a moment).
Let the middle integer = x
Let the largest ingeger = x + 1
Equation
x - 1 + x + x + 1 = 255
Solution
Combine like terms on the left.
3x - 1 + 1 = 255
3x = 255 Divide by 3
3x/3 = 255/3
x = 85
So the smallest number is 84
The middle number is 85
The largest number is 86
Total 255
Do you see why I made the smallest number x - 1?
It is because the -1 and the plus 1 cancel out.
Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.
please help only with number one
Answer:
so, where the dotted line is that is called the height, so you would times it and find your answer.
find two mixed number or fractions that have a quotient of 3 1/5
Answer:
[tex]6 \frac{1}{5} [/tex]
Step-by-step explanation:
31/5
6/1/5
select all the values of x so g(x) is not a function.
How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?
Answer:
$728
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
I = (4000)(0.052)(3.5)
I = 728
Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.
What is Simple Interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Here, Principal = $ 4000
Time = [tex]3\frac{1}{2}[/tex] years = 7/2 years = 3.5 years
Rate = 5.2 % = 0.052
Now, SI = P.R.T/100
SI = 4000 X 3.5 X 5.2 / 100
SI = $ 728
Thus, Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.
Learn more about Simple Interest from:
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An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by
f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere
(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)
a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y
Answer:
[tex]k = 1[/tex]
[tex]P(x > 3y) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.[/tex]
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
[tex]\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1[/tex]
Where
[tex]{ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }[/tex]
Substitute values for the interval of x and y respectively
So, we have:
[tex]\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1[/tex]
Isolate k
[tex]k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1[/tex]
Integrate y, leave x:
[tex]k \int\limits^2_{0} y {dx} \, [0,x/2]= 1[/tex]
Substitute 0 and x/2 for y
[tex]k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1[/tex]
[tex]k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1[/tex]
Integrate x
[tex]k * \frac{x^2}{2*2} [0,2]= 1[/tex]
[tex]k * \frac{x^2}{4} [0,2]= 1[/tex]
Substitute 0 and 2 for x
[tex]k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1[/tex]
[tex]k *[ \frac{4}{4} - \frac{0}{4} ]= 1[/tex]
[tex]k *[ 1-0 ]= 1[/tex]
[tex]k *[ 1]= 1[/tex]
[tex]k = 1[/tex]
Solving (b): [tex]P(x > 3y)[/tex]
We have:
[tex]f(x,y) = k[/tex]
Where [tex]k = 1[/tex]
[tex]f(x,y) = 1[/tex]
To find [tex]P(x > 3y)[/tex], we use:
[tex]\int\limits^a_b \int\limits^a_b {f(x,y)}[/tex]
So, we have:
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy[/tex]
Integrate x leave y
[tex]P(x > 3y) = \int\limits^2_0 x [0,y/3]dy[/tex]
Substitute 0 and y/3 for x
[tex]P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 y/3\ dy[/tex]
Integrate
[tex]P(x > 3y) = \frac{y^2}{2*3} [0,2][/tex]
[tex]P(x > 3y) = \frac{y^2}{6} [0,2]\\[/tex]
Substitute 0 and 2 for y
[tex]P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}[/tex]
[tex]P(x > 3y) = \frac{4}{6} -\frac{0}{6}[/tex]
[tex]P(x > 3y) = \frac{4}{6}[/tex]
[tex]P(x > 3y) = \frac{2}{3}[/tex]
Referring to the figure, find the volume of the solid shown. Round to the nearest whole number. Will mark brainliest...
Answer:
648
Step-by-step explanation:
FInd volume of bottom half (9x6x12)
find voume of pyramid 1/3Bh 1/3(11)(54)
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answer:
1. LCD= 24
2. LCD= 18
Complete the missing parts of the table for the following function y=7^x
Answer:
x= -2 y = ([tex]\frac{1}{49}[/tex])
x= 0 y = 1
x= 2 y = 49
Step-by-step explanation:
x= -2 -> (7)² = 49, negative power makes it inverse to a fraction
y = ([tex]\frac{1}{49}[/tex])
x= 0 -> anything to the power of 0 is always 1
y = 1
x= 2 -> 7² = 7 × 7 = 49
y = 49
terest formula to compute the total amount accumulated and
$5000 for 3 years at 1.7% compounded monthly
The total amount accumulated after 3 years is $ 5,261.42
(Round to the nearest cent as needed.)
The amount of interest earned is $
(Round to the nearest cent as needed.)
Answer:
Interest = $261.42
Step-by-step explanation:
amount of interest earned is $
(Round to the nearest cent as needed.)
Amount = Principal + Interest
Amount - Principal = Interest
$ 5,261.42 - $5000 = Interest = $261.42
y = x + 1 how many solutions does this system have
Answer:
Step-by-step explanation:
There are an infinite number of solutions.
A bag contains 11 red beads, 10 blue beads, and 4 green beads. If a single bead is picked at random, what is the probability that the bead is green?
Answer:
4/15
Step-by-step explanation:
The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!! It’s not D because one of friends had took it already and told me he choose D and it was incorrect. Thank you.
Answer:
56,067
Step-by-step explanation:
there are 52 weeks in a year. and they work 40 hours a week.
[tex]26.96*40=1078\\1078*52=56,067[/tex]
Answer:
The answer is C.
Step-by-step explanation:
What type of angle is angle G?
A. right
B. acute
C. straight
D. obtuse
Answer:
acute
Step-by-step explanation:
Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.
(a) Write an equation that relates the number of gifts that they wrapped.
Use 4, 20, and n.
(b) Find n.
2
Answer:
20 = 4n
n = 5
Step-by-step explanation:
Given that :
Number of gifts Keiko wrapped = 20
Let number of gifts wrapped by Henry = n
Keiko wrapped 4 times as many gifts as Henry
Hence,
20 = 4n
The equation that relates the number of gifts wrapped is :
20 = 4n
To obtain n ;
Divide both sides by 4 to isolate n
20/ 4 = 4n / 4
5 = n
Hence,
n = 5
Adelaide bought a 2-liter bottle of soda for her guests. How many milliliters of soda did Adelaide buy?
Answer:
2000 milliliters
Step-by-step explanation:
2 liters = 2000 milliliters
Answer:
2000 milliliters
Step-by-step explanation:
1 liter=1000 milliliters
2x1000=2000
2000 milliliters
.............................................
Step-by-step explanation:
.........................
.......
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer:
916.1 cm^3
Step-by-step explanation:
1) find the radius of the cylinder:
radius = dimater / 2 = 7,3 / 2 = 3.65 cm
2) find the base area of the cylinder:
base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2
3) find the height of the cylinder:
height = 7.3 x 3 = 21.9 cm
4) find the volume
V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3
5) round to nearest tenth:
916. 1 cm^3
Sarah has 35 paperback books and 20 hardback books.
What fraction of the books are hardback
Answer:
4/11...................
Answer: 4/11
Step-by-step explanation:
The total number of books is 35+20=55, which will be the denominator, because the question is asking what fraction of all the books are hardcover. The number of hardcover books, 20, will be the numerator, so we end up with the fraction 20/55. 20 and 55 are both divisible by 5 (this means that when divided by 5, both numbers have a whole number quotient). 20/5= 4 and 55/5=11
So, the answer is 4/11
Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number of each denomination. What are the four denominations, and how many of each does she have?
The number of the same coin that she has will be 6.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.
If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:
1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41
2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82
3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23
4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64
5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05
6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46
Based upon these results, Janice has 6 of each coin.
Let x be the number of coins. Then we can set up the equation will be
0.01x + 0.05x + 0.10x + 0.25x = 2.46
0.41x = 2.46
x = 6
The number of the same coin that she has will be 6.
More about the Algebra link is given below.
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PLS HELP
Find the volume.
Answer:
V= 160 ft
Step-by-step explanation:
First 10×8×6 then ÷ 3 = 160
The following graph shows the fuel efficiency of a sample of cars. How many
cars get between 10 and 15 miles per gallon?
Fuel Efficiency of Cars
40
35
30
25
20
Number of cars
15
10
0
5
10
15
25
30
20
Miles per gallon
O A. 15
O B. 20
C. 5
D. 40
Answer:
B) 20
The 10-15 x axis bar graph shows 20 cars on the y axis
Rewrite 2+(1/b-2) = (3b/b+2) as a proportion. Which of these proportions is equivalent to the original equation?
A. (3/b-2) = (3b/b+2)
B. (2b+3/b-2) = (3b/b+2)
C. (2b-3/b-2) = (3b/b+2)
and asking 2nd part question and answer. thx
Answer:
C for the first one
1,6 for the second
Neither for the third
Step-by-step explanation: EDGE 2021
Answer:
The first Question is C
Question 2 is 1,6
Question 3 is Neither
Step-by-step explanation:
trust me I took the quiz
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
[tex]1) 3x+45=90[/tex]
[tex]3x=90-45[/tex]
[tex]3x=45[/tex]
[tex]\frac{3x}{3} =\frac{45}{3}[/tex]
[tex]x=15[/tex]
1) The angles are complementary
[tex]--------[/tex]
[tex]2)x-20+x=90\\[/tex]
[tex]2x=90+20[/tex]
[tex]2x=110[/tex]
[tex]x=55[/tex]
2) The angles are complementary
[tex]--------[/tex]
[tex]3)2x+(3x+25)=180[/tex]
[tex]2x+3x+25=180[/tex]
[tex]2x+3x=180-25[/tex]
[tex]5x=155[/tex]
[tex]x=\frac{155}{5}[/tex]
[tex]x=31[/tex]
3) The angles are supplementary
[tex]----------[/tex]
hope it helps..
have a great day!!
Pls help me im desperate bots are not supposed to post here
Answer:
y = [tex]\frac{1}{2}x+8[/tex]
Step-by-step explanation:
From the table given in the picture,
Two points lying on the graph are (-4, 6) and (-2, 7)
Let the linear function is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-4, 6) and (-2, 7) will be,
m = [tex]\frac{7-6}{-2+4}[/tex]
m = [tex]\frac{1}{2}[/tex]
y-intercept is a point for which x = 0
From the given table,
For x = 0, y = 8
Therefore, y-intercept (b) = 8
Equation of the linear function will be,
y = [tex]\frac{1}{2}x+8[/tex]
A model of the Eiffel Tower
uses a scale of 1 cm - 4 meters.
If the model is 75 a centimeters
tall, what is the actual height
of the Eiffel Tower?
Answer:
The correct answer is A. The actual height of the Eiffel Tower is 301 meters.
Step-by-step explanation:
Given that a model of the Eiffel Tower uses a scale of 1 cm - 4 meters, if the model is 75 1/4 a centimeters tall, to determine what is the actual height of the Eiffel Tower the following calculation must be performed:
1 = 4
1/4 = 0.25
75.25 x 4 = X
301 = X
Therefore, the actual height of the Eiffel Tower is 301 meters.
Need help fast please, plz
Answer:
13. rational, integer, white number, natural
14. irrational
Step-by-step explanation:
the third root of 125 is 5.
so, it is everything of the list except for irrational.
pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.
Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x
Answer:
[tex]Period = \pi[/tex]
Step-by-step explanation:
Given
[tex]y = -\frac{1}{3} * \sin(2x)[/tex]
Required
The period
A sine function is represented as:
[tex]y =A \sin(Bx + C) + D[/tex]
Where
[tex]Period = \frac{2\pi}{B}[/tex]
By comparing:
[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(2x)[/tex]
[tex]B = 2[/tex]
So, we have:
[tex]Period = \frac{2\pi}{2}[/tex]
[tex]Period = \pi[/tex]
Hence, the period of the function is [tex]\pi[/tex]
Case cost $3.82 , unit cost $0.32,paper cost ,$0.03, condiment cost $0.02 what is the item total cost?
Answer:
item total cost: 4.19
Which of the pairs of angles are vertical angles and
thus congruent?
ZA and ZG
ZA and B
ZC and E.
ZD and ZH
help please !!
9514 1404 393
Answer:
∠A and ∠G
∠C and ∠E
Step-by-step explanation:
Vertical angles have the same vertex and are formed from opposite rays. In this figure, the pairs of vertical angles are ...
{A, G}, {B, H}, {C, E}, {D, F}
Of these pairs, the ones listed in your answer choices are ...
∠A and ∠G
∠C and ∠E