Answer:
0.8348Step-by-step explanation:
Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are 1/6.43 and 1/3.56 and 1/8.51 respectively.
1/6.43 = 0.1555
2/3.56 = 2 * 1/3.56
= 2 * 0.2809
= 0.5618
1/8.51 = 0.1175
Taking the sum of the reciprocals;
1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175
1/6.43 +2/3.56 +1/8.51 = 0.8348
Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348
if four boys spent 2.5 hrs to do a job, how many hrs will 5 boys spend
Answer:
2
Step-by-step explanation:
2.5/5
Answer:
2.5 hours
Step-by-step explanation:
2.5 hours = work time
4boys+5boys working together same job.
Ans: 2.5 hours.
Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?
Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
State your variables
let x be the number of $1 bills
let y be the number of $5 bills
Create a system of equations
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
Solve the system for y
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
Solve for x to check answer
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
a car was bought for 5500 and sold at 6500 find the percentage
Answer:
18.18%
Step-by-step explanation:
Percent change formula:
(new amount - old amount)/(old amount) * 100%
new amount: 6500
old amount: 5500
percent change:
(6500 - 5500)/5500 * 100% = 18.18%
Answer:
18.18%
Step-by-step explanation:
1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11
=18.18%
At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?
Answer: 270 chocolates
Step-by-step explanation:
Given the following :
Number of 5-year Olds = 5
Number of 6-year Olds = 5
Number of 7-year Olds = 5
Number of chocolates received by each child = 3 times as many chocolate as their age.
Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates
Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates
Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates
Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates
Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates
Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates
Totak number of chocolates altogether :
(75 + 90 + 105) = 270 chocolates
A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?
Answer:
60cmStep-by-step explanation:
Given the width of a rectangle W = x centimeters
If the length is 10 centimeters longer than the width, then L = (10 + x)cm
Perimeter of the rectangle = 220 cm
To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;
Perimeter P = 2(L+W)
Substituting the value of the length and the width, we will have;
P = 2(10+x+x)
220 = 2(10+2x)
Dividing both sides by 2;
220/2 = 2(10+2x)/2
110 = 10+2x
2x = 110-10
2x = 100
x = 100/2
x = 50cm
Since the length of the rectangle L = 10+x
The length of the rectangle = 10+50 = 60 cm
Hence, the measure of the length is 60 cm
Answer:
60cms
Step-by-step explanation:
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. What is the measure of angle 7? 56° 84° 96° 124°
================================================
Explanation:
The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.
(angle 7) + (angle 8) = 180
(angle 7) + 124 = 180
angle 7 = 180 - 124
angle 7 = 56 degrees
Answer:
The measure of angle 7 is 56°.
Step-by-step explanation:
here, angle 8 = 124°
now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)
or, 124°+angle 7=180°
or, angle 7=180°-124°
Therefore, tge measure of angle 7 is 56°.
Hope it helps.
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red
Answer:
The probability that exactly 2 buyers would prefer red car is 0.0317.
Step-by-step explanation:
Let the random variable X represent the number of buyers would prefer red car.
The probability of the random variable X is, p = 0.40.
A random sample of n = 14 buyers are selected.
The event of a buyer preferring a red car is independent of the other buyers.
The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.
The probability mass function of X is:
[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]
Compute the probability that exactly 2 buyers would prefer red car as follows:
[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]
[tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]
Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.
The value of y at x=-1in the equation 5y=2 is
Answer: y = 2/5 --> y = 0.4
Step-by-step explanation:
5y = 2 is a horizontal line at y = 2/5
so the y-value is 2/5 = 0.4 at EVERY x-value.
In the given figure, ABCD is a parallelogram
and AD = 18 cm. The area of AABE is 5/6
that of ABCD.
(a) Find the length
of DE
(b) If the area
of ABCD is
450 cm?, find
the height
from B to AD.
Answer:
B
Step-by-step explanation:
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?
Answer:
About 4.44
Step-by-step explanation:
Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:
40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.
40-x+x= x + 2x + 3 (2x)
40 = 3x + 3 (2x)
40 = 3x + 6x
40= 9x
40/9 = 9x/9
x= 4.44
Note: 2x represents doubling up the sales amount, which was left.
3x represents tripling the sales amount left.
Complete the table for the given rule. hi guys this is question is Rule: y is 1/3 times as large as x x y 0 6 12 y need to know y by the rule i need this quilky plz
Answer:
The completed table is
x | 0 | 6 | 12
y | 0 | 2 | 4
Step-by-step explanation:
It is given that y is (1/3) as large as x. That is,
y = (x/3)
x | 0 | 6 | 12
y | ? | ? | ?
y = (x/3)
When x = 0,
y = (0/3) = 0
when x = 6,
y = (6/3) = 2
when x = 12,
y = (12/3) = 4
The completed table is thus
x | 0 | 6 | 12
y | 0 | 2 | 4
Hope this Helps!!!
The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
Given,
y is 1/3 times as large as x.
So, [tex]x=3y[/tex].
We have to calculate the value of x when y is given .
1. when [tex]y=0[/tex]
Then, [tex]x=0[/tex]
2.when, [tex]y=6[/tex]
Then, [tex]x=18\\[/tex]
3. When [tex]y=12[/tex]
[tex]x=3\times 12\\x=36[/tex]
Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
For more details follow the link:
https://brainly.com/question/11897796
What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6
There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).
Answer:
There is no solution.
Rewrite -2x + y = -6 so it starts with y =...
y = 2x - 6
Substitute that in 2/3x - 1/3y = -2 gives:
2/3x - 1/3*(2x -6) = -2
2/3x - 2/3x + 2 = -2
0 + 2 = -2
This statement is not true, and that means there is no solution.
a girl spent 2/3 of her pocket money and was left with $1800.00 . How much was her pocket money
Answer: She had $5400
Step-by-step explanation:
We will let x represent the total amount of money in her pocket .
So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.
1/3 * x = 1800 solve for x by divide both sides by 2/3
x=5400
Check.
1/3 * 5400 =1800
Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add
Answer:
24+x=40
Hope this helped
Answer:
hes right look up there
Step-by-step explanation:
hes right :) only for a p e x
Candice is analyzing the length of time of each song in her playlist. Complete the sentences with the correct terms. Candice wants one number to summarize all of the values in the data set, so she should find a measure of center . She can calculate the or the of the data set.
Answer:
Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set.
Step-by-step explanation:
Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
The three measures of central tendency are:
Mean
Median
Mode
The mean is the average value of the data set.
The median is the middle value of the data, when arranged in ascending or descending order.
The mode of the data set is the value with the highest frequency.
The data collected by Candice is continuous and is measured on an interval scale.
The interval level of measurement classifies and arranges the data set. It also defines a specific difference between each interval of scale.
The measure of central tendency for an interval level of measurement are mean and median.
Thus, the complete sentence is:
"Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set."
How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many
Answer:
one solution
Step-by-step explanation:
3x + 6 =- 1 - 3 + 4x
Subtract 3x from each side
3x-3x + 6 =- 1 - 3 + 4x -3x
6 = -4+x
Add 4 to each side
6+4 = -4+4+x
10 =x
One solution
Answer:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
Step-by-step explanation:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
5/16 = 15/18 is proportion
Answer:
False
Step-by-step explanation:
In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.
Please help I need to finish this before I can take my final
Options:
A) f(x), g(x), h(x)
B) g(x), f(x), h(x)
C) h(x), g(x), f(x)
D) g(x), h(x), f(x)
Answer: D
Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?
If f(x) =27, then x=?
Answer:
x=1
Step-by-step explanation:
f(x)=27
y=27(x)
x=1
y=27
A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?
Answer:
The amount of fiber in the entire tomato is approximately 1 g
Step-by-step explanation:
A tomato is cut into 8 slices.
1 slice contains 012 g of fiber
8 slices will contain;
[tex]\frac{8 * 0.12}{1}[/tex] g = 0.96g which equals to 1 g when rounded up nearest gram.
So the amount of fiber in the entire tomato is 0.96g ≈ 1g
Please answer this question now
Answer:
[tex]\boxed{u = 13.7}[/tex]
Step-by-step explanation:
Using cosine rule
[tex]c^2 = a^2+b^2-2ab\ CosC[/tex]
Here c = u, a = 9 , b = 21 and C = 28
[tex]u^2 = 9^2+21^2-2(9)(21)\ Cos 28\\u^2 = 81+441-(378)(0.88)\\u^2 = 522 - 333.75\\u^2 = 188.24[/tex]
Taking sqrt on both sides
u = 13.7
Answer:
u ≈ 13.7
Step-by-step explanation:
Using the Cosine rule in Δ STU, that is
u² = s² + t² - 2stcosU
Here s = 21, t = 9 and U = 28°, thus
u² = 21² + 9² - (2 × 21 × 9 × cos28°)
= 441 + 81 - 378 cos28°
= 522 - 378 cos28° ( take the square root of both sides )
u = [tex]\sqrt{522-378cos28}[/tex]
≈ 13.7 ( to the nearest tenth )
This problem is kinda hard can you help me
Answer:
B - 5
Step-by-step explanation:
K: 60
M: 60 x 25%; 60 x .25 = 75
K: 1500/60 = 25
M: 1500/75 = 20
25-20=5
numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?
Answer:
Marcelo acertou 22 questões.
Step-by-step explanation:
Vamos representar
Questões que acerta = a
Questões que erra = b
a + b = 30 .......... Equação 1
a = 30 - b
o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.
Matematicamente:
3 × a - 2 × b = 50
3a - 2b = 50 pontos ............. Equação 2
Substitua 30 - b por a na Equação 2
3 (30 - b) - 2b = 50
90 - 3b - 2b = 50
90 - 5b = 50
Colete termos semelhantes
90 - 50 = 5b
5b = 40
b = 40/5
b = 8
Questões que erra = b
Marcelo, portanto, perdeu 8 questões.
Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1
a + b = 30 .......... Equação 1
a + 8 = 30
a = 30 - 8
a = 22 questões.
Portanto, ele acertou 22 questões.
Please help Asap, will give brainiest only if answer correctly with a good explanation
Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
Suppose we have three urns, namely, A B and C. A has 3 black balls and 7 white balls. B has 7 black balls and 13 white balls. C has 12 black balls and 8 white balls. We first choose one urn from A, B and C. Then we randomly pick up two balls from that urn without replacement. Let Ai, i 1,2,3 denote the event that the urn we choose is A, B and C respectively. Suppose P(A1): P(A2): P(A3) =1:2:2. Compute :
(a) The probability that the first ball is black.
(b) The probability that the first ball is black given that the second ball is white.
Answer:
a. 11/25
b. 11/25
Step-by-step explanation:
We proceed as follows;
From the question, we have the following information;
Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.
Now,
Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3
Then , P(A1 + P(A2) +P(A3) =1 ....(1)
And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)
Let P(A1) = x, then using equation (2)
P(A2) = 2x and P(A3) = 2x
(from the ratio given in the question)
Substituting these values in equation (1), we get
x+ 2x + 2x =1
Or 5x =1
Or x =1/5
So, P(A1) =x =1/5 , ....(3)
P(A2) = 2x= 2/5 and ....(4)
P(A3) = 2x= 2/5 ...(5)
Also urns A, B and C has total balls = 10, 20 , 20 respectively.
Now, if we choose one urn and then pick up 2 balls randomly then;
(a) Probability that the first ball is black
=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)
= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)
= (3/50) + (7/50) + (12/50)
=22/50
=11/25
(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.
Although the event picking of the second ball is dependent on the event of picking the first ball.
Hence, probability that the first ball is black given that the second ball is white is 11/25
Plz plz please answer it fast urgent
Answer - 1) -6/3
2)3/20
3)3/4
Hope this may helps you
Answer:
A.-2
B.its 3/20=0.15
C.3/4=0.75
Resolve into factors.
a)x4-5x2y2+4y4
Answer:
(x - y)(x + y)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)
The factors are - 1 and - 4 , thus
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x² - y²)(x² - 4y²)
Both of these factors are differences of squares which factor in general as
a² - b² = (a - b)(a + b) , so
x² - y² = (x - y)(x + y)
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y)
Hence
[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]
= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form
the area of a square ground is 42025 metre square.Find the perimeter of the field.
Answer:
[tex] \boxed{820 \: m}[/tex]Step-by-step explanation:
Given,
Area of square ground = 42025
Now, let's find the length of square ground
Area of square = [tex] = {l}^{2} [/tex]
plug the values
[tex]42025 = {l}^{2} [/tex]
Swipe the sides of the equation
[tex] {l}^{2} = 42025[/tex]
Squaring on both sides
[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]
Calculate
[tex]l = 205[/tex] meters
The length of square ground = 205 meters
Now,Let's find the perimeter of square
Perimeter of square [tex] = 4l[/tex]
plug the value of length
[tex] = 4 \times 205[/tex]
Multiply the numbers
[tex] = 820[/tex] meters
Hope I helped.
Best regards!!