Answers
4(3a + 2b) <==
The factorization of given expression is 4(3a+2b).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is 12a+8b.
In the given expression there are two terms 12a and 8b
Now, 12a=2×2×3×a and 8b=2×2×2×b
So, from both the terms common is 2×2=4
Thus, 4(3a+2b)
Therefore, the factorization of given expression is 4(3a+2b).
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Related Questions
Simplify the expression-(m+3n-7)
Answers
then it is
-m-3n+7
Point p is the midpoint of DE. DP =3x + 2 and DE = 10x - 12. What is the length of DP
Answers
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4
DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units
The length of DP is:
DP=14 units
Step-by-step explanation:It is given that:
Point P is the midpoint of DE.
DP =3x + 2 and DE = 10x - 12.
We know that a midpoint divides the given line segment into two equal parts (i.e. it bisects a line segment)
Hence, we have:
DP+PE=DE
Also, DP=PE
This means that:
2DP=DE
2(3x+2)=10x-12
2×(3x)+2×2=10x-12
6x+4=10x-12
10x-6x=4+12
4x=16
x=16/4
x=4
Hence,
DP=3x+2=3×4+2
i.e.
DP=14
MULTIPLE CHOICE
Which of the following situations can be modeled by the expression -8 + 35?
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased by 35°F. What was the temperature at noon?
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased to 35°F. By how much did the temperature change?
While Shawn was sleeping, the temperature decreased by 8°F. If the temperature was 35°F when Shawn went to bed, what was the temperature when Shawn woke up?
None of the above.
Answers
Answer:
this person is correct to see the answer CLICK HERE thank you
Step-by-step explanation:
Write an absolute value equation that has the solutions x=-10 and x=-5
Answers
An absolute value equation with solutions -10 and -5 is |x + 7.5| = 2.5. This is determined by finding the midpoint between -10 and -5, and then expressing the equation to reflect that distance.
To write an absolute value equation that has the solutions x=-10 and x=-5, you must consider the midpoint between these two solutions. The midpoint or average is found by adding the values together and dividing by 2, which we can write as (x + 10 + x + 5)/2. Simplifying, we get (2x + 15)/2 = x + 7.5 as the midpoint. Now an absolute value equation that holds the given solutions will have its vertex (the point where the absolute value expression equals zero) at this midpoint and the same distance from both -10 and -5, which is 2.5 units. So, the equation looks like |x + 7.5| = 2.5.
11.5 - 3y = -48.5
What is y?
Please show work.
Answers
Solving for variable “y”
Move all terms containing y to the left, all other terms to the right.
Add ‘-11.5’ to each side of the equation.
11.5 + -11.5 + -3y = -48 + 11.5
Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -3y = -48 = -11.5
-3y = -48 + -11.5
Combine like terms: -48 + 11.5 = -59.5 -3y = -59.5
Divide each side by ‘-3’
Y= 19.83333333
Simplifying
Y = 19.333....
11.5 -60 = 48.5
Which expression is equivalent to 2^4 ⋅ 2^−7?
a. 1 over 2^11
b. 1 over 2^3
c.2^3
d. 2^11
Answers
2^4 x 2^-7 = 0.125
2^3 = 8, 1 /8 = 0.125
answer is B
2^4 x 2^-7 = 0.125
2^3 = 8, 1 /8 = 0.125
answer is B
Which is equivalent to 8.03x10^-8
Answers
Order these fractions from least to greatest 5/8 3/4 1/2 and 9/16
Answers
the product of two numbers is 36. the gcf of the two numbers is 9. what is the lcm?
Answers
A worker can complete the assembly of 15 tape players in 6hours. At this rate, how many can the worker complete in a 40-hour work week?
Answers
for 40 hrs...
2.5 * 40 = 100 <=== the worker can complete 100 tape players in 40 hrs
What is the result when 3/8x + 2 1/5 - 3 1/2x - 4 1/10
Answers
Approximate the square root of 39 to the nearest whole number
Answers
= 1.73205080757 * 3.60555127546
= 6.2449979984 ≈ 6 [ nearest whole number ]
To approximate the square root of 39 to the nearest whole number, we can use the method of estimation. The estimated value of the square root of 39 is a little less than 6.
Explanation:To approximate the square root of 39 to the nearest whole number, we can use the method of estimation. We know that the square root of 36 is 6, and the square root of 49 is 7. Since 39 is closer to 36, we can estimate the square root of 39 to be a little less than 6.
Learn more about Square Root Approximation here:https://brainly.com/question/33783591
what is 86.8954776543 rounded to the nearest millionth/ show work
Answers
The order after the decimal point goes like this:
tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionth
Answer = 86.895478 to nearest millionth.
Which are perfect cubes? Check all that apply. 64 x^16 8x^3 27x^4 81x^6 125x^9
Answers
The perfect cubes from the given options are 64x^16, 8x^3, 81x^6, and 125x^9 as they can all be expressed as the cube of an integer or a product of an integer and variable raised to an exponent that is a multiple of three.
Explanation:The question is asking us to identify which expressions are perfect cubes. A perfect cube is a number that can be expressed as the cube of an integer. The expression for a perfect cube with variables is x3n, where n is a non-negative integer. We apply this principle to the options given:
64x16 is a perfect cube because 64 is 43 and 16 is 3 times 5, making the whole expression (4x5)3.8x3 is a perfect cube because 8 is 23 and 3 is 3 times 1, making the whole expression (2x)3.27x4 is not a perfect cube because 4 is not a multiple of 3.81x6 is a perfect cube because 81 is 34 and 6 is 3 times 2, making the whole expression (3x2)3.125x9 is a perfect cube because 125 is 53 and 9 is 3 times 3, making the whole expression (5x3)3.Therefore, the perfect cubes from the options given are 64x16, 8x3, 81x6, and 125x9.
josh saved 1/4 of his pocket money and spent 1/2 of the remainder. What fraction did he spend
Answers
Answer: [tex]\dfrac{3}{8}[/tex]
Step-by-step explanation:
Let x denotes the total pocket money Josh has.
As per given , we have
Saved pocket money = [tex]\dfrac{1}{4}x[/tex]
Money Remains = [tex]x-\dfrac{x}{4}=\dfrac{3x}{4}[/tex]
Money he spent = [tex]\dfrac{1}{2}[/tex] of (Money Remains)
= [tex]\dfrac{1}{2}\times\dfrac{3x}{4}[/tex]
[tex]=[/tex][tex]\dfrac{3x}{8}[/tex]
Hence, the fraction of money he spent = [tex]\dfrac{3}{8}[/tex]
Your aunt bought a new car. After three months of car payments she owed a total of $22,275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank for the car loan. What was her average payment rate on the principal of the car loan during this time?
Answers
Total amount of money owed after 12 months = $18900
Amount of money repaid on 9 months = 22275 - 18900
= 3375 dollars
Then
Average payment rate on the principal = 3375/9
= 375 dollars
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for. I also hope that the answer has come to your desired help.
I need help with finding the area of a rectangle with a length of 3 feet and a width of 2 7/8
Answers
23/8*3=69/8
CHECK MY ANSWERS IN CASE I MADE A MISTAKE
(-6)+5(-2)+15 fine the value
Answers
10+6
16+15
The answer is: 31
Hope this helps
Answer: -1
explain one way to add three digits numbers
Answers
321
+ 123
---------
444
Liza earned some money delivering newspapers. She bought a battery for $1.95, and gave her mother $30. She bought a ring for $7.20, and then spent half of the remaining money on a radio. If Liza has $38.50 left, How much money did she earn delivering newspapers ?
Answers
here's the answer to your question:
Let x = the initial amount Liza earned from delivering newspapers. Work your way backward. She has $38.50 that is left over. Since she spent the same amount on a radio, the radio costs $38.50. She spends $7.20 (ring) + $1.95 (battery) before this and gives her mom $30. All of these are subtractions from the initial amount: x - 1.95 - 30.00 - 7.20 - 38.50 = 38.50 x - 77.65 = 38.50 x = $116.15
What is The Difference of 6 and 8
Answers
1kg is equal to what help me please
Answers
1kg = 2.20462 pounds
1kg = 35.274 ounces
1kg = 1000 grams
Marla did 65 sit-ups each day for one week. Use the Distributive Property to show an expression you can use to find to total number of sit-ups Marla did during the week.
Answers
Multiply 7 times 65 to get 455
Which graph represents the line
10x + 5y = 20?
Answers
*Add 10x to each side
5y=20-10x
*Divide each side by 5
y=4-2x
y=-2x+4
*The -2 represents the slope, so for every 2 units it goes down, it moves to the right one unit
*The 4 represents the y-intercept (or where it crosses the y-axis)
Answer:
Option 1.
Step-by-step explanation:
The given equation of the line is 10x + 5y = 20
Now we will convert this equation into y-intercept form
10x + 5y = 20
5y = 20 - 10x
y = [tex]\frac{1}{5}[/tex] (20 _ 10x)
= -2x + 4
y-intercept of the line is 4 which gives us hint that graph (1) or (2) may be the correct option.
Since slope is (-2)
So from graph (1) slope of the line passing through (0,4) and (-2,0) = [tex]\frac{4.0}{0+2}[/tex] = 2
Therefore, graph A is not the answer.
For graph (2) slope of the graphed line passing through (0,4) and (2,0) = [tex]\frac{4-0}{0-2}[/tex] = (-2)
So graph (2) is representing the line y = -2x +4
Option 1. is the answer.
A heartbeat take 0.8 second. How many is this written as a fraction ?
Answers
Hope this helps! :)
Answer: 8/10
Step-by-step explanation: Using the place value chart, we can see that 0.8 means eight-tenths which can be written as the fraction 8/10. Since 8/10 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 8 and 10 which is 2 to get 4/5.
Therefore, 0.8 can be written as the fraction 8/10.
you finish 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?
Answers
1/4 = 2/8
3/8 + 2/8 = 5/8
Fraction of the project finished is 5/8
hope this helps
There are 37 girls and 42 boys in the Clifton Middle School Chorus. Which is greater: The ration of girls to the total number of chorus members or the ratio of boys to the total number of chorus members
Answers
42:79 is greater than 37:79
hope this helps
20 9\16 + 24 5\8 + 21 5\16 + 23 3\8 DON'T SIMPLIFY
Answers
Answer:
88 14/16
Step-by-step explanation:
I call these mixed numbers, a mixed number is written as a b/c and it means
[tex]a+\frac{b}{c}[/tex]
So, we can use the above to re arrange our expression to a more convenient presentation.
we have>
[tex]20+\frac{9}{16} + 24+\frac{5}{8} + 21+\frac{5}{16}+23+\frac{3}{8}\\ \\88+\frac{14}{16} +\frac{8}{8} \\\\89+\frac{14}{16}[/tex]
88 14/16, we tend to no simplify this expression anymore since, the number 14/16 usually means something in real life, like the diameter for a construction pipe
Please help ~ANSWER ONLY IF YOU KNOW IT~
Answers
$2000 x 0.12 x 6 = $1440
$2500 x 0.04 x 6 = $600
least interest amount $600, $1280 and $1440
answer
from least to greatest
1. Right
2. Top Left
3. Bottom Left
Solve for h.
−110=13+3(4h−6)
Answers
−110=13+12h−18
12h = -110 + 5
12h = -105
h = -8.75
Answer:
the value of h is, -8.75
Step-by-step explanation:
The distributive property says that:
[tex]x \cdot (y+z) = x\cdot y+ x\cdot z[/tex]
Given the equation:
[tex]-110=13+3(4h-6)[/tex]
Apply the distributive property we have;
[tex]-110=13+12h-18[/tex]
Combine like terms;
[tex]-110=12h-5[/tex]
Add 5 to both sides we get;
[tex]-105=12h[/tex]
Divide both sides by 12 we get;
-8.75 = h
or
h = -8.75
Therefore, the value of h is, -8.75