Answer: 20 kisses
Step-by-step explanation:
given data:
number of cousins at the family reunion = 5
each cousing kissing each other just once.
if one cousin kisses everybody round that would be
= 1 * 4
= 4 kisses.
4 kisses from each cousins * number of cousins at the family reunion.
= 4 * 5
= 20 kisses.
in total there were 20 kisses at family reunion
Using the principle of combination, the number of kisses given in all by the five cousins is 10
Number of cousins, n = 5Using the relation :
[n(n-1)] ÷ 2Substituting the values into the relation :
[n(n-1)] ÷ 2
[5(5-1)] ÷ 2
(5 × 4) ÷ 2
20 ÷ 2
= 10 kisses
Hence, the Number of kisses exchanged in all is 10.
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Solve 3[–x + (2 x + 1)] = x – 1.
Answer:
x = -2
Step-by-step explanation:
3{-x + 2x + 1} = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Andy makes a model of a new tool that is 0.24 meter long. His model is 10 times as large as the actual tool. How big is the model?
Answer: 2.40
Step-by-step explanation: 2.4 meters 10x.24=2.40
the product of y and 9
Answer:
9y
Step-by-step explanation: Product is also the same thing of multiplication so 9 x y equals to 9y.
~~~~Inuola1234
The expression for the product of y and 9 is 9y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The product of y and 9.
This can be written as,
= 9y
Thus,
The expression is 9y.
Learn more about expressions here:
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Solve 7x - 8(2x - 3) + 2 = 8 *
Answer:
Step-by-step explanation:
7x - 8(2x - 3) + 2 = 8
Expand bracket and Minus 2 on both sides
7x - 16x + 24 = 6
Minus 24 on both sides, and simplify the "x's"
-9x = -18
Divide by -9 on both sides
x = 2
An NHL hockey player has 59 goals so far in a season. What are the possible numbers of additional goals the player can score to match or break the NHL record of 92 goals in a season?
Answer:
33 additional goals
Step-by-step explanation:
59+g is greater than or equal to 92 subtract 59 from both sides leaving the answer g is greater than or equal to 33
The hockey player would have to score:
33 goals to match the record 34 goals to break the recordIn order the match the record, the hockey player needs to score a certain number of goals that will take them to the record of 92. That number is:
= 92 - 59
= 33 goals
If they however want to break the record, the need to score more than 92 goals. The least number of goals they can score to do so is:
= Number of goals to match record + 1
= 33 + 1
= 34 goals
In conclusion, the player would have to score 33 goals to match the NHL record but 34 to break it.
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5x+8=4x+15 ayuda por favor
Answer:
x=7
Step-by-step explanation:
herp derp herp derp herp derp
Plot -1/4 on the horizontal and vertical number lines.
On the vertical number line, negative numbers are to the bottom of 0. Therefore, -1/4 will go one unit down from 0.
On the horizontal number line, negative numbers are to the left of 0. Therefore, -1/4 will go to the left one unit.
Best of Luck!
Tina's social studies textbook has 12 chapters. If she reads the book and learn 5 new facts in each chapter, how many new facts will she have learned when she finishes reading all 12 chapters?
Answer:
60
Step-by-step explanation:
if she learns 5 new facts each chapter and has 12 chapters to read you should multiply 12 and 5
vera uploaded a hilarious video to a funny videos website. V (t) models the number of views the video got as a function of time t (in hours)
Answer:
Between 10 and 20 hours
Step-by-step explanation:
choose B
Answer:
Its b lol hny
Step-by-step explanation:
the difference between eighteen and a number m
Answer:
what is the number? I didn't gets
Divide. 15÷−5 Drag and drop the correct number into the box to complete the sentence. The quotient is Response area.
Answer:
15÷-5=-3
Step-by-step explanation:
HY
3. The table shows the admission prices for
an amusement park. Graph the function.
Admission
Age
Price
40
BO
under 5
free
Admission price (dollars)
5-17
$25
$40
18-64
65 and over
$35
ot
10
50
60
2030 40
Age (years)
4. Identify the domain and range of the
function in Item 4, including their units.
domain:
range:
Answer:
See below
Step-by-step explanation:
1. The rule defining the function on the graph:
y = x -1, if x = (-3,-1)y = -3x + 9, if x = [2, 4)2. f(x) = |4x + 36|
y = 4x + 36, if x ≥ - 9y = -4x - 36, if x < - 93. See attachment for the graph
4. Item 4 is not included in the question
6 x 10^4 please help me I just don’t want to do the math right now I’m so tired
Answer:
6,000
Step-by-step explanation:
Find the complex conjugate of 10+ 61.
a. -10 + 61
b. 10-61
C.-10-61
d. 6 - 107
Answer:
b. 10 - 61
Step-by-step explanation:
10 + 61 is 71
We need to change the addition sign to subtraction.
10 - 61= -51
We need to find an equation that is equal to -51.
a. -10 +61
That equals 51, which is not 71, which means it is not letter a.
b. 10 - 61
That equals -51, which is not 71, which means it is not letter b.
c. -10 - 61
That equals -71, which is not 71, which means it is not letter c.
d. 6- 107
That equals -101, which is not 71, which means it is not letter d.
Is 6 a multiple or a factor of 12
Answer:
Step-by-step explanation:
yes
Answer:
Factors Multiples
1, 2, 3, 6 6 12
Step-by-step explanation:
Find the measures of the supplementary angles that satisfy each case.
The measure of the first angle is 45° more than the measure of the second.
Answer: 67.5 and 112.5 degrees
The length of a rectangle is
eight feet more than the width.
The perimeter is 60 feet. Find the
length and width.
Answer:
11 and 19
Step-by-step explanation:
solution
let,the lenght be (x+8) and width be x.
Now,
The perimeter of rectangle=2(l*w)
or,60=2(x+8*x)
or,60=4x+16
or,60-16=4x
or,44=4x
or,44÷4=x
x=11
breath=11
length=(x+8)
=11+8
=19
If simplify 11 ^ 8 divided by 11 ^ 3
what is the sum of 0.380 and 0.245
Answer:
The sum of 0.380 and 0.245 would be 0.625
Rearange the equation so n is the independent variable m+1=-2n+6 ? M= what
Answer:
m = - 2n + 5
Step-by-step explanation:
Given the equation:
m+1=-2n+6
Rearrange the equation so that n is the independent variable
The independent variable is the predictor variable, Hence causes a change in the value of predicted variable obtained.
m+1=-2n+6
m = - 2n + 6 - 1
m = - 2n + 5
m = - 2n + 5
The general form of a regression equation:
y = ax + b
Where y = dependent variable
x = independent variable ; a = Coefficient of slope ; b = intercept
Hence, the equation : m = - 2n + 5
what is the soloution to the equation 3x+4=7x-4
Step-by-step explanation:
3x+4=7x-4
add 7x to each side of equation 4x+3x+-7x=-4x+7x+-7x
combine like terms 7x+-7x=0
4+ -4x =-4 +0
4+-4x= -4
add -4 to each side of equation 4+ -4 +-4x=-4+-4
combine like terms -4 +4=0
0+ -4x = -4+ -4
combine like terms -4+-4=-8
-4x =-8
divide each side by-4
x=2
simplifying
x = 2
write a context story for the equation 32 divided by 5
Anyone know how to solve this...
Answer:
see below
Step-by-step explanation:
D = 1 - ∑(4/125)²
D = 1 - (2/5³)²
D = 1 - 2²
5³ ²
D ≅ 0.99974
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.
A) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing?
B) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing?(
C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?
Answer:
A
[tex]P(X = 8 ) = 0.0037[/tex]
B
[tex]P(X < 5) = 0.805[/tex]
C
I will not be surprised because the probability that fewer than half covered their mouth when sneezing is less than 0.5
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]
The probability a randomly selected individual will cover his or her mouth when sneezing is
[tex]q = 1 -p[/tex]
[tex]q = 1 -0.267[/tex]
[tex]q = 0.733[/tex]
Generally the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X = 8 ) = \left 12 } \atop {}} \right. C_8 * p^8 * q^{12-8}[/tex]
[tex]P(X = 8 ) = 495 * (0.267)^8 * (0.733)^{12-8}[/tex]
[tex]P(X = 8 ) = 0.0037[/tex]
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X < 5 ) = P[ P(X = 0) + \cdots + P(X = 4)][/tex]
=> [tex]P(X < 5) = \left 12 } \atop {}} \right. C_0 * (0.267)^0 * (0.733)^{(12- 0) }+\cdots + \left 12 } \atop {}} \right. C_4 * (0.267)^0 * (0.733)^{(12- 4) }[/tex]
=> [tex]P(X < 5) = 0.805[/tex]
Give that half of 12 is 6 then
The probability that fewer than half covered their mouth when sneezing is mathematically represented as
[tex]P(X > 6) = 1 - P( X \le 6 )[/tex]
=> [tex]P(X > 6) = 1 - [P(X = 0 ) +\cdots+P(X = 6) ][/tex]
=> [tex]P(X > 6) = 1 - [\left 12 } \atop {}} \right. C_0 *(0.267)^0 * (0.733)^{12 - 0 } +\cdots + \left 12 } \atop {}} \right. C_6 * (0.267)^6 * (0.733)^{12-6}][/tex]
=> [tex]P(X > 6) = 0.0206[/tex]
lim (x+1) (3x^2-9)
X2
Answer:
[tex]\lim_{x \to 2} (x+1)(3x^2-9) = 9[/tex]
Step-by-step explanation:
Step 1: Write out limit
[tex]\lim_{x \to 2} (x+1)(3x^2-9)[/tex]
Step 2: Evaluate
(2 + 1)(3(2)² - 9)
3(3(4) - 9)
3(12 - 9)
3(3)
9
Ralph chase plans to sell a piece of property for $145000. He wants the money to be paid off in two ways a short term note at 11% interest and a long term note at 8% interest. Find the amount of each note if the total annual interest paid is $13850.
Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
[tex]\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000[/tex]
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .
Ariana rode A bicycle 7 miles and 42 minutes. Abelito road his skateboard 8 miles in 48 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer. Please i need this by TONIGHT!!
how are rates and unit rates different?
Answer:
down bellow
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
What is 135.26 - 74.80
[tex]\framebox {60.46}[/tex]
[tex]\text {Remove 0 from 74.8. You don't need it.}[/tex]
[tex]\text {Do Keep Change Change (KCC)}[/tex]
[tex]\text {Keep: 135.26}\\\text {Change: - into +}\\\text {Change: 74.8 into -74.8}[/tex]
[tex]\text {Add: 135.26 +-74.8=60.46}[/tex]
[tex]\text {Hope this helps!}[/tex]
[tex]\text {-LimitedX}[/tex]
What would be the second step to solve 5 x – 61 = 20?
Answer:Step 2: Divide both sides by 5.
Step-by-step explanation:
Answer:
divide 5 on both sidesStep-by-step explanation:
add -61 on both sides:
5x - 61 + 61 = 20 + 61
simplify
5x = 81
divide 5 on both sides:
5x = 81
5 5
x = 81
5
