Answer:
1
5
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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
Answer
12
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Patrick Ivers, former mathematics & English instructor
Answered June 26, 2018
If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)
a+b=8 becomes a=8-b
b+c=10 becomes b=10-c
c+a=12 becomes c=12-a
Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.
Replace the c in b=10-c with 7 to
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Paul K. Young, Former PhD candidate in Mathematics
Answered September 28, 2016
If A = B and B = C, does A = C?
In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.
While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.
Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.
Equality in programming is another story entirely.
In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.
Help me to choose the right answer
Answer:
its B
Step-by-step explanation:
Plzzzzz helpp!!!!!!!!!!!!!!
how many solutions does the equation 5x-8=3x+8
Answer:
One solution
Step-by-step explanation:
5x-8 = 3x+8
2x = 16
x = 8 = true once
Answer:
x=2
Step-by-step explanation:
5x-8=3x+8
= >
5x-3x=8+8
=8x= 16
therefore x= 16/8
ie) 2
(REPOST) answer if you KNOW the answers!
Answer:
hello! :) have a good day!
1). 24
2). 27
3). 5
PICTURE 1:
The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)
[tex]13 \frac{7}{10} = 14[/tex]
AND,
(10 1/8) Rounded To The Nearest Whole Number is: (10)
[tex]10 \frac{1}{8} = 10[/tex]
So, 14 + 10 = 24
______________________________________
PICTURE 2:
The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)
[tex]8 \frac{1}{5} = 8[/tex]
AND,
(2 7/8) Rounded To The Nearest Whole Number is: (3)
[tex]2 \frac{7}{8} = 3[/tex]
So, 8 - 3 = 5
______________________________________
PICTURE 3:
The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)
[tex]58 \frac{5}{12} = 58[/tex]
AND,
(30 5/7) Rounded To The Nearest Whole Number is: (31)
[tex]30 \frac{5}{7} = 31[/tex]
So, 58 - 31 = 27
______________________________________
HERE ARE ALL THE ANSWERS:
PICTURE 1: 24
PICTURE 2: 5
PICTURE 3: 27
HOPE THIS HELPS!! :)
¿Cuál es el número x cuyo cuadrado es igual a cuatro veces la suma del número y
8?
porque
Answer:
es 48876256542389087565
A = [1, 3, 5, 7, 9)
B = (2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AU (Bn C) =
Answer:
the second one
Step-by-step explanation:
I think
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in her district.
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Answer:
a) The minimum sample size is 601.
b) The minimum sample size is 2401.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when we are are going to need the largest sample size.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The minimum sample size is 601.
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Now we want n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
The minimum sample size is 2401.
Jennifer is saving money to buy a bike. The bike costs $258. She has $125 saved, and each week she adds $19 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her___
weeks to save for the bike.
Answer:
7 weeks
Step-by-step explanation:
Answer:
7 weeks
Step-by-step explanation:
Solve for X
5x + 2 = 7x – 4
Answer:
x = 3
Step-by-step explanation:
5x + 2 = 7x – 4
-2x = -6 (Subtraction)
x = 3 (division)
divided by negative from a negative so,
negative/negative = positive.
8n + 2 - 6n - 13 = 9 + 2n - 13
Answer:
I love math anyways
the ans is in the picture and the steps hope it helps :D hehe
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
1+3/8=(8+3)/8=11/8 used per day. 5+1/2=(10+1)/2=11/2 available.
(11/2)/(11/8)=(11/2)(8/11)=88/22=4
kiran poured 15 cups of water into equal-sized pitches and filled 1 1/2. How much water was in the full pitcher?
9514 1404 393
Answer:
10 cups
Step-by-step explanation:
The number of cups in a pitcher can be found by dividing cups by pitchers:
(15 cups)/(1.5 pitchers) = 10 cups/pitcher
A full pitcher holds 10 cups.
25 PTS
PLEASE HELP !!!
Answer: 1 5/7
Step-by-step explanation:
First lets simplify 2/5x1/4,
-> 8/20x5/20
-> 40/20
-> 4/2
Now lets calculate:
42÷−7−6=?
In the second fraction, the negative numerator and negative denominator cancel each other.
The equivalent equation is
42÷76=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
42×67=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
4×62×7=2414
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 14 using
GCF(24,14) = 2
24÷214÷2=127
The fraction
127
is the same as
12÷7
Convert to a mixed number using
long division for 12 ÷ 7 = 1R5, so
127=157
Therefore:
42÷−7−6=157
Solution by Formulas
Apply the fractions formula for division, to
42÷−7−6
and solve
4×−62×−7
=−24−14
A negative over a negative becomes positive
=2414
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(24,14) = 2
24÷214÷2=127
Convert to a mixed number using
long division for 12 ÷ 7 = 1R5, so
127=157
Therefore:
42÷−7−6=1 5/7
(Sorry for the 157s I meant 1 5/7)
Answer:
negative
3
35
Step-by-step explanation:
find the greatest common factor and multiply those 2 then divide whats left and then reduce or simplify and multiply those again
Determine the permanent life insurance amount per thousand given that the policy belongs to a healthy 25-year-old
male with an annual premium of $4,072.2 and a face value of $110,000 on a 20-Year Endowment insurance policy
a $38.96
$37 67
b. $38.23
di $37.02
C
Answer:
The Answer is D
Step-by-step explanation:
Just took the quiz
Find the derivative of the function. f(x) = 4x2 − 8x + 2
Answer:
Step-by-step explanation:
Use the power rule for differentiation
[tex]f'(x)=nx^n^-^1[/tex]
[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]
[tex]f'(x) =8x-8[/tex]
The derivative of a constant is always zero
Solomon graphs a point on the coordinate plane. Which point did Solomon graph?
Answer:
Try your best! I know you can do it!
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
will mark brainliest
Answer:
1/4
Step-by-step explanation:
using the product-to sum formulas, this is
1/2 (cos(75+15) + cos(75-15))
Answer:
1/4
Step-by-step explanation:
PLATO USER
Find the area. Simplify your answer.
Answer:
We know,
Area of parallelogram = b * h
= 2x * 7 = 14x
Hope it helped
All the best!!
Please help with the answer
Answer:
not parallel
Step-by-step explanation:
Actually they're Perpendicular.
㏒7 41 pLz hElP pLZZz
Answer:
log(41)/log(7) OR 1.90839852...
solve by elimination
x+y= 0
2x-y= 12
Answer:
m=2
Step-by-step explanation:
I calculated it sorry
Answer:
(x,y)= (4,-4)
Step-by-step explanation:
Thanks me later
A scientist changes the temperature of a solution at a rate of
-6°C per minute. How many minutes will it take for the solution's
temperature to change from 0°C to -54°C?
A 9 min
B 324 min
C 60 min
D 48 min
Answer: A 9 min
Step-by-step explanation: 54/6=9
(9)
-6-6-6-6-6-6-6-6-6=-54
Which is not a correct name for the line shown?
Answer:
I would have to say the 4th one.
Step-by-step explanation:
Need quick answer plz
Answer:
8 is the answer
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
[tex]z=2^{3}[/tex]
This question is essentially asking what is two to the third power, or;
[tex]2 * 2 * 2[/tex]
[tex]= 8[/tex]
Solve the equation for the indicated variable.
А= 1/2bh for b
1) Um barbante tem 10,85 metros de comprimento. Se você dividir em 5
pedaços de mesmo comprimento, quantos centímetros terá cada
pedaço?*
(a) 2,17 cm
(b) 217 cm
(C) 21,7 cm
(d) 0,217 cm
(ajudem pfvv ;)
Answer: A
Step-by-step explanation:
It's on edge i got a 100%
A group of students plotted the number of hours they worked at a cake shop during the holidays and the number of cakes they delivered in a week.
Graph shows 0 to 60 on x axis and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Number of Cakes Delivered. Dots are made at the ordered pairs 12, 13 and 16, 15 and 20, 27 and 23, 21 and 26, 37 and 31, 29 and 35, 41 and 38, 46 and 42, 52 and 43, 49 and 45, 54 and 49, 51.
Which statement best describes the relationship between the number of hours spent working at the cake shop and the number of cakes delivered?
Greater hours worked, more cakes delivered
Fewer hours worked, more cakes delivered
Greater hours worked, fewer cakes delivered
There is no relationship between hours spent working and number of cakes delivered.
Answer:
As the x value increases, the y value also increases. So as one increases the other increases.
So your answer is
Greater hours worked, more cakes delivered
Step-by-step explanation:Hope this helps :-)
Answer:
It would be no other than A. :) I got this by putting a very skinny strip of paper and making the graph then, I easily just went from the 0 points and saw how the numbers on each side are both even it would make more sense as A because it is just how this works! :)
Step-by-step explanation:
You got paid $343 for 7 hours of work. Find the unit rate.
Answer:
$49 / hour
Step-by-step explanation:
343/7 = $49/hour
Answer:
49
Step-by-step explanation:
You do 343÷7 which equals your sum
p(x) = x3 - 2x2 + 2x
What are the real and complex zeros of the equation
Given:
The polynomial is
[tex]p(x)=x^3-2x^2+2x[/tex]
To find:
The real and complex zeros of the equation.
Solution:
We have,
[tex]p(x)=x^3-2x^2+2x[/tex]
For zeros, p(x)=0.
[tex]x^3-2x^2+2x=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x=0\text{ and }x^2-2x+2=0[/tex]
The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]
On further simplification, we get
[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]
[tex]x=\dfrac{2\pm 2i}{2}[/tex]
[tex]x=\dfrac{2(1\pm i)}{2}[/tex]
[tex]x=1\pm i[/tex]
Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
Choose Yes or No to tell if the fraction 4/9
will make each equation true.
63×□=28
18×□=8
96×□=42
36×□=16
Answer:
yes
yes
no
yes
Step-by-step explanation:
i used a calculator..