1. simplify by removing the parenthses and collecting like terms. 83q - (39q-38)=44q+38?
2. solve for y---z=ym answer y=z/m?
3. divide if possible -6/"over" 17 divided by (-5/"over"17)=undefined?
4. translate to algerbirc expression the sum of c and n= c+n?
5.one day the tempature dropped from 6 degrees ferheit to -17 degrees ferhiet how many degrees did it drop? 23 degrees?
6. true statement 1 > -6
7. simplify [15 divided by(-3)]divided by (-1/"over"4)=48?
8. find decimal notation for 14/25=0.56?
9. translate into algerbraic expression four more than twice a number= 2x+4?
10. solve 7(x+4)=9(x-2)=x=23?
11. subtract -5/"over"26- (-3/"over"13)= -11/26?
12. subtract -8-5=-13?
13. solve using principles together 7x-7= 13+12x= x=4?
7. does not look right. Dividing by -1/4 is the same as multiplying by -4.
10. Too many = signs in what you wrote.
7x + 28 = 9x - 18
2x = 46
x = 23 should be written separately
11. Two minuses make a plus, but that is not what you did
13. There are too many = signs again.
on 11 i was trying to write them as fraction i was afriad you would not be able to read them so it reads subtract -5/26-(-3/13)= -11/26?
on 13. the problem is solve using principles together 7x-7=13+12x
my answer is x=4?
would that be right?
7. simplify [15/(-3)]/ (-1/"over"4)=8?
12. is -13? i was not sure if you could see the negative sign...thank u so much!
7. is still wrong
11. is still wrong
You don't need to write "over".
13. is correct
algebra is also spelled incorrectly
11. subtract -5/"over"26- (-3/"over"13)= -8/39?
7. simplify [15 divided by(-3)]divided by (-1/"over"4)=1.25?
Get rid of the "over". One doesn't write algebraic expressioons that way.
-5/26 -(-3/13) = -5/26 + 6/26 = 1/26
were these right?
7. simplify [15/(-3)]/ (-1/4)=1.25?
12. is -13? i was not sure if you could see the negative sign...thank u so much!
1. To simplify the expression and collect like terms, you need to distribute the negative sign to the terms inside the parentheses.
83q - (39q - 38)
= 83q - 39q + 38 (using the distributive property, the negative sign changes the signs inside the parentheses)
= (83q - 39q) + 38 (combining like terms)
= 44q + 38
Therefore, the simplified expression after removing the parentheses and collecting like terms is 44q + 38.
2. To solve for y in the equation z = ym, you need to isolate y on one side of the equation.
z = ym
Divide both sides of the equation by m:
z/m = y
Hence, the solution for y is y = z/m.
3. To divide -6/17 divided by (-5/17), you can simplify it by multiplying the first fraction by the reciprocal of the second fraction.
-6/17 divided by (-5/17)
= (-6/17) * (17/-5) (invert and multiply)
= -6 * -1
= 6
Therefore, the division simplifies to 6, not undefined.
4. To translate the phrase "the sum of c and n" into an algebraic expression, you can simply write c + n. The word "sum" indicates addition.
5. To find how many degrees the temperature dropped when it went from 6 degrees Fahrenheit to -17 degrees Fahrenheit, you subtract the initial temperature from the final temperature.
-17 - 6 = -23
The temperature dropped by 23 degrees Fahrenheit.
6. The statement "1 > -6" is true. This inequality means that 1 is greater than -6, which is correct.
7. To simplify the expression [15 divided by (-3)] divided by (-1/4), you can multiply the numerator by the reciprocal of the denominator.
[15/(-3)] / (-1/4)
= (15/(-3)) * (4/(-1)) (invert and multiply)
= -20
Therefore, the simplified expression is -20.
8. To find the decimal notation for 14/25, you divide 14 by 25.
14 ÷ 25 = 0.56
So, the decimal notation for 14/25 is 0.56.
9. To translate the phrase "four more than twice a number" into an algebraic expression, you can write 2x + 4. The phrase "twice a number" means 2 multiplied by the number, and "four more than" means adding 4 to that result.
10. The equation 7(x + 4) = 9(x - 2) can be solved by distributing and simplifying the equation.
7x + 28 = 9x - 18 (Distribute: 7 * x = 7x, 7 * 4 = 28, 9 * x = 9x, 9 * -2 = -18)
Rearrange the equation to group like terms:
7x - 9x = -18 - 28 (Subtract 7x from both sides, and subtract 28 from -18)
-2x = -46
Divide both sides by -2 to solve for x:
x = -46 / -2 = 23
Therefore, the value of x is 23.
11. To subtract -5/26 minus -3/13, you need to find a common denominator and then subtract the fractions.
-5/26 - (-3/13)
= -5/26 + 3/13 (multiplying the second fraction by -1 changes the subtraction to addition)
To find a common denominator, you can multiply the first fraction's denominator by 2:
= -5/26 + 6/26 (multiply -3/13 by 2 to obtain a denominator of 26)
= ( -5 + 6 ) / 26 (combine the numerators)
= 1/26 (simplify the numerator)
Therefore, the subtraction simplifies to 1/26.
12. To subtract -8 - 5, you simply add the opposite of the second number.
-8 + (-5)
= -13
Therefore, -8 minus 5 equals -13.
13. The equation 7x - 7 = 13 + 12x can be simplified using the principles of algebra.
First, you can eliminate the constant terms by adding 7 to both sides of the equation:
7x - 7 + 7 = 13 + 12x + 7
7x = 20 + 12x
Next, you can eliminate the variable terms by subtracting 12x from both sides:
7x - 12x = 20 + 12x - 12x
-5x = 20
To solve for x, divide both sides by -5:
x = 20 / -5
x = -4
Therefore, the solution to the equation is x = -4.