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Multiply me by 3then add 3divide by 5 then subtract 7 and multiply by 7 you get 56?
Wiki User
∙ 15y ago
Reverse the flow from the answer: (((((56 / 7) + 7) x 5) - 3) / 3) = ? 56 / 7 = 8 + 7 = 15 x 5 = 75 - 3 = 72 / 3 = 24 Check the Answer: (((((24 x 3) + 3) / 5) - 7) x 7) = 56 24 x 3 = 72 + 3 = 75 / 5 = 15 - 7 = 8 x 7 = 56 Answer: 24
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∙ 15y ago
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How do you simplify 6x - 2x plus 5x - 3?
6x - 2x + 5x - 3First you want to have the x's by theirselves and the numbers by themselvesIt will still be:6x - 2x + 5x - 3Here, you do 6x - 2x.4x + 5x -3Then you combine 4x + 5x.9x - 3Simplified just like that
What is B over C divided by 8 over A?
AB/8Cas divided by 8/A can be reversed to multiplied by A/8so B/C x A/8 = AB/8CExample: If A=4 B=6 C=3then 6/3 divided by 8/4 = 2/2 = 1also AB/8C = 24/24 = 1Q.E.D.
What is the nth term and sum of n terms of 6 13 24 39?
The simplest rule that will generate the 4 terms, and the nth term isUn = 2n2 + n + 3Then Sn = Sum for k = 1 to n of (2k2 + k + 3)= 2*sum(k2) + sum(k) + sum(3)= 2*n*(n+1)*(2n+1)/6 + n*(n+1)/2 + 3*n= (2n3 + 3n2 + n)/3 + (n2 + n)/2 + 3n= (4n3 + 9n2 + 23n)/6The simplest rule that will generate the 4 terms, and the nth term isUn = 2n2 + n + 3Then Sn = Sum for k = 1 to n of (2k2 + k + 3)= 2*sum(k2) + sum(k) + sum(3)= 2*n*(n+1)*(2n+1)/6 + n*(n+1)/2 + 3*n= (2n3 + 3n2 + n)/3 + (n2 + n)/2 + 3n= (4n3 + 9n2 + 23n)/6The simplest rule that will generate the 4 terms, and the nth term isUn = 2n2 + n + 3Then Sn = Sum for k = 1 to n of (2k2 + k + 3)= 2*sum(k2) + sum(k) + sum(3)= 2*n*(n+1)*(2n+1)/6 + n*(n+1)/2 + 3*n= (2n3 + 3n2 + n)/3 + (n2 + n)/2 + 3n= (4n3 + 9n2 + 23n)/6The simplest rule that will generate the 4 terms, and the nth term isUn = 2n2 + n + 3Then Sn = Sum for k = 1 to n of (2k2 + k + 3)= 2*sum(k2) + sum(k) + sum(3)= 2*n*(n+1)*(2n+1)/6 + n*(n+1)/2 + 3*n= (2n3 + 3n2 + n)/3 + (n2 + n)/2 + 3n= (4n3 + 9n2 + 23n)/6
How do you add a fraction and a mixed number?
You convert the mixed number to an improper fraction ie. 1 and 2/3 converts to 5/3Then find a common denominator ie. 5/3 and 1/2 could have a common denominator of /6Next you find out how much you times the denominators by to get the /6 and use that number to times the numerators ie. 3x2=6 so 5x2=10 10/6 and 2x3=6 1x3=3 3/6Now add these two together as you would normally ie.3/6+10/6= 13/6Finally you convert it back to a mixed number ie. 13/6 converts to 2 and 1/6!Hope this helps!
How do you cast nines?
Casting nines is a method of checking the accuracy of math calculations in addition,subtraction, multiplication and division. It is a "quick check" which flags wronganswers. A great many mistakes in calculation are the result of careless errors andpeople's reluctance to spend time checking their work. Casting nines is quick and easy,once mastered, and many students consider it a game. In many cases, students wholearn and apply this technique will get better grades and have more fun in math. Whenteachers don't have to deal with careless errors, it is possible to move on more quicklyto new math concepts. Warning: This checking method has one limitation. It canoccasionally fail to flag a wrong answer. This happens when a zero is added or left out,when there is a transposition such as 3,528 instead of 3,582, and in some other cases.To cast nines from a number, add the digits:17 1 + 7 = 8 8 is the result of casting the nines.If the sum of the digits is nine, cast (throw away) the nine. It becomes a zero.36 3 + 6 = 9 9 - 9 = 0 0 is the result of casting the nines.If the sum of the digits is more than nine, cast the nines. You will always end up withjust one digit when this is completed: 0, 1, 2, 3, 4, 5, 6, 7, or 8.28 2 + 8 = 10 10 - 9 = 1 1 is the result of casting the ninesInstead of subtracting the nine from a two-digit number as shown above, you may addthe two digits. The result is the same.28 2 + 8 = 10 1 + 0 = 1 1 is the result of casting the ninesHere is an example of casting nines from a large number:5,628 5 + 6 = 11, 1 + 1 (from the 11) = 22 (from the 5 + 6) + 2 (the next digit in 5,628) = 44 (from the 2 + 2 above) + 8 (next digit) = 12, 1 + 2 (from 12) = 33 is the result of casting nines from 5,628To speed up casting nines from large numbers, look for and cross out nines orcombinations which equal nine. Add the remaining digits. For example:5,629,384,2725,629,384,272 Cross out any nines.5,629,384,272 Cross out any combinations which make 9: 5+2+2, 6+3, 7+2Then add any digits still not crossed out: 8 + 4 = 12, 1 + 2 (from the 12) = 33 is the result of casting nines from 5,629,384,272.Once you are able to cast nines from any number, use it to check problems as shown on the next page.Casting NinesAdditionCast nines from both addends and add the one-digit results for the "check number"(circled). Cast nines from the sum. The results must match or the answer is wrong.addend 38 cast nines from 38: 3 + 8 = 11, 1 + 1 = 2addend +76 cast nines from 76: 7 + 6 = 13, 1 + 3 = + 4sum 114 add the two digits to get check number 6Then cast nines from the sum, 114: 1 + 1 = 2 + 4 = 6. This must match the checknumber. If there is no match, thoroughly check the problem to locate and fix the error.MultiplicationCast nines from the multiplicand and the multiplier and multiply the one-digit results forthe "check number" (circled). Cast nines from the product. The results must match.multiplicand 78 cast nines from 78: 7 + 8 = 15, 1 + 5 = 6multiplier x 8 cast nines from 8 (no nines to cast) = x 8product 624 multiply the two digits 48Cast nines from the 48 to get the 1-digit check number: 4 + 8 = 12, 1 + 2= 3Then cast nines from the product, 624: 6 + 2 = 8 + 4 = 12, 1 + 2 (from the 12) = 3SubtractionCast nines from the minuend and the subtrahend. Subtract for the "check number"(circled). Cast nines from the difference. The result must equal the check number.minuend 53 cast nines from 53: 5 + 3 = 8subtrahend - 38 cast nines from 38: 3 + 8 = 11, 1 + 1 = - 2difference 15 subtract the two digits to get check number 6Then cast nines from the difference, 15: 1 + 5 = 6. This must match the check number.In subtraction, the one-digit result on the bottom (subtrahend) may be larger than that on the top (minuend). If this occurs, add a nine to the minuend so subtraction is possible, asshown below. Continue as shown above.minuend 93 cast nines from 93: 3 + 9 =12subtrahend - 44 cast nines from 44: 4 + 4 = - 8 - 8difference 49 subtract the two digits for check number can't do 4DivisionCast nines from the dividend to get the "check number" (circled). Cast nines from thequotient. Cast nines from the divisor. Cast nines from the remainder. Multiply the onedigitresults as is done normally in checking division: quotient times divisor plusremainder. The result must equal the check number.Cast 9's from dividend, 89, for 8 , the check number.quotient 14 r5 remainder quotient 14, 1 + 4 = 5 times divisor 6 = 30 (3 + 0 = 3)divisor 6 ) 89 dividend plus remainder 5 = 8. This matches check number.© 1995 Susan C. Anthony - Reproducible for use with students
What is the answer to 70 percent of 150?
First you calculate the wole you are having, which is 100/150 = 2/3Then you simply multiply the answer with 70:70*(2/3) = 46+(2/3)
What is the equivalent resistance of 3 resistors in parallel?
Equation of Equivalent Resistance in Parallel is 1/Equivalent Resistance = 1/Resistance 1+ 1/Resistance 2 +1/Resistance 3If the resistance of the resistor is 3 Ohms then1/Req= 1/3 + 1/3 = 1/31/Req= 3/3Then cross multiply so3Req = 3Then isolate variable for Req (divide both sides by 3)answer1 Req= 3/3=1 OhmEquivalent Resistance is 1 Ohm
If 12x equals x plus 3then x equals?
12x = x + 3 11x = 3 x = 3/11
2x plus 5y equals 2 and -3x minus y equals -3?
If: 2x+5y = 2 and -3x-y = -3Then it works out that: x = 1 and y = 0
The letter which best completes the sequence below is: Y S N J G?
Eyou count backwards.Y to S = 6S to N = 5N to J = 4J to G = 3then G to E = 2
How do you simplify 6x - 2x plus 5x - 3?
6x - 2x + 5x - 3First you want to have the x's by theirselves and the numbers by themselvesIt will still be:6x - 2x + 5x - 3Here, you do 6x - 2x.4x + 5x -3Then you combine 4x + 5x.9x - 3Simplified just like that
What is B over C divided by 8 over A?
AB/8Cas divided by 8/A can be reversed to multiplied by A/8so B/C x A/8 = AB/8CExample: If A=4 B=6 C=3then 6/3 divided by 8/4 = 2/2 = 1also AB/8C = 24/24 = 1Q.E.D.
Five times the fourth integer less twice the second is 7 Find the four consecutive integers?
-2, -1, 0, 1Proofif we take the numbers to be: a,a+1,a+2,a+3Then five times the fourth less twice the second means: 5.(a+3) - 2.(a+1) = 3a+13So we know that 3a+13 = 7,so 3a = -6therefore a = -2.
Why is the quotient of two fractions less than 1 greater than both fractions?
This is simply not true.Consider 2/9 and 2/3Then (2/9) / (2/3) = (2/9)*(3/2) = 1/3and the last time I looked, 1/3 was not greater than 2/3.So, if it is not greater than one fraction, it cannot be greater than both.
How do you derive the mantissa of a logarithm?
If your number was say 5280 it is easier to make it into a decimal with one number before the point:5280 = 5.280 * 10^3Then use a logarith table to find the logarith of 5280 which, from my table, is 0.7226339.This is the Mantissa.Then you look at the exponent on the ten which is 3 (5.280 * 10^3).This is your characteristic.Therefore, the common logarithm of 5280 is 3.7226339 where 3 is the characteristic and 0.7226339 is the mantissa.Hope this helps, message me if you need more info.
How many hours are 830 to 330?
sevenexample 8:30am to 3:30pmis 8:30 to 12:30 = 4and 12:30 to 3:30 = 3then 4 + 3 = 7or 15:30 - 08:30 = 7:00Unless times are 12 hours later then 7 + 12 = 19example 8:30 pm to 3:30pm next day is 19 hoursas in 8 - 3 = 5 then 24 - 5 = 19
How do you solve 6sin x 1 plus 9sin x algebraically over the domain 0 x 2pi?
6*sinx = 1 + 9*sinx => 3*sinx = -1 => sinx = -1/3Let f(x) = sinx + 1/3then the solution to sinx = -1/3 is the zero of f(x)f'(x) = cosxUsing Newton-Raphson, the solutions are x = 3.4814 and 5.9480It would have been simpler to solve it using trigonometry, but the question specified an algebraic solution.
