Answers
-1a^2b / 2 = 5a^4b/ - 10a^2
2.
3a/b^2 = 3a^4 / 1a^3 b^2
3.
-1/2b = -4a / 8ab
4.
3b^2/1a^2 = -9b^3 / -3a^2b
Related Questions
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answers
Answer:
[tex]\dfrac{5}{24}[/tex]
Step-by-step explanation:
Time Spent Sleeping=7 hoursTime Spent Studying=[tex]\frac{1}{4}[/tex] of the dayTime Spent Travelling=[tex]\frac{1}{4}[/tex] of the dayThere are 24 hours in a day, therefore:
Time Spent Studying=[tex]\frac{1}{4}[/tex] X 24 =6 HoursTime Spent Travelling=[tex]\frac{1}{4}[/tex] X 24 =6 HoursThe total hour used for sleeping, studying and travelling=7+6+6=19 hours
Hours used for other things=24-19=5 hours
Therefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]
A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink marbles.What is P(not pink)?
Answers
Answer: [tex]\dfrac{3}{5}[/tex]
Step-by-step explanation:
Given : The number of pink marbles in bag= 8
Total number of marbles in bag= [tex]4+5+8+3=20[/tex]
Now, the number of marbles that are not pink =[tex]20-8=12[/tex]
We know that the formula to find the probability is :-
[tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Similarly, [tex]\text{P(not pink)}=\dfrac{12}{20}=\dfrac{3}{5}[/tex]
The total charge on 7 particles is −42 units. All the particles have the same charge.
What is the charge on each particle? (1 point)
6 units
5 units
−5 units
−6 units
Answers
x+x+x+x+x+x+x=-42
7x=-42
x=-6
so to check our answer
-6-6-6-6-6-6-6=-42
-12-12-12-6=-42
-24-18=-42
-42=-42
Your answer would be -6! -42= -6 divided by 7 or 7 X -6= -42
Add. Simplify the answer to lowest terms before entering the numerator and denominator in their boxes. 11/16 + 3/16
Answers
Answer:
The answer is 7/8.
Step-by-step explanation:
If you add 11/16 to 3/16, you'll get 14/16. 14/16 has two numbers that are divisible by 2, so when you divide 14/16 by 2 you'll get 7/8 which is 14/16 in a simplified form. 7 is prime and you can't divide it down any more, but 8 i'snt the same way. The rule is, whatever you do to one side, you have to do to the other. You can divide 8, but not 7; therefore, you cannot simplify the fraction any further.
To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same.
Explanation:To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same. In this case, we have 11/16 + 3/16. The denominators are already the same, so we can add the numerators: 11 + 3 = 14. The fraction 14/16 cannot be simplified further.
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zack made this table for his survey? grape 16, orange 10, berry 9, apple 12 how many votes were cast?
Answers
90 points!! Forreal!
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step
-2(x-1)+12=4x-6 - (GIVEN)
-2+2+12=4x-6 - ______ ?
-2x+14=4x-6 - (COMBINE LIKE TERMS)
-2x=4x-20 - ________ ?
-6x=-20 - (ADDITON OR SUBTRACTION OF EQUALITY)
x=20/6 - _____ ?
x=10/3 - (SIMPLIFY)
Answers
Distributive Property
Addition or Subtraction Property of Equality
Multiplication or Division Property of Equality
Idk what the properties are I need help
Answers
does the point given below occur on the line shown. Can you show the work please
Answers
With a speed of 55 mph, a driver drives through a tunnel in 1 minute. How long would it take him to get through the same tunnel with a speed of 45 mph?
Answers
0.009842 in scientific notation
Answers
Fourteen of the kids in a class are girls. Eight of the kids wear blue shirts. Two of the kids are neither girls nor wear a blue shirt. If five of the kids are girls who wear blue shirts, how many kids are there in the class?
Answers
Me.ford drove 483 miles during his trip. How many hundreds are in this number
Answers
1/20=0.05. Which calculation is NOT a way to find 14/20?
a. 0.5+0.05
b. 0.75−0.05
c. 14÷20
d. 14·0.05
Answers
The calculation that is NOT a relevant way to find the value of 14/20 is given by option a: 0.5 + 0.05.
Let's find the value of 14/20 first:
To find 14/20, divide 14 by 20:
14 ÷ 20 = 0.7
Now, let's check each calculation:
a. 0.5 + 0.05 = 0.55 (Not relevant to finding 14/20)
b. 0.75 - 0.05 = 0.7 (Relevant, as this gives us 14/20)
c. 14 ÷ 20 = 0.7 (Relevant, as this is the correct calculation for 14/20)
d. 14 × 0.05 = 0.7 (Relevant to finding 14/20)
Therefore, the calculation that is NOT a way to find 14/20 is option a: 0.5 + 0.05.
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n the figure, 2004-02-04-06-00_files/i0250000.jpg. If the ratio of the perimeter of to that of is 3:2 and the sum of the perimeters of the two triangles is 110, find the perimeter of each triangle.
A.
perimeter of = 66
perimeter of = 44
B.
perimeter of = 73
perimeter of = 37
C.
perimeter of = 37
perimeter of = 73
D.
perimeter of = 44
perimeter of = 66
Answers
You can then follow the same steps on the triangles you have.
Let perimeter of triangle 1 be p1 and that of triangle 2 be p2
First, we know that the ratio between p1 : p2 is 3:2, this means that:
p1/p2 = 3/2
p1 = (3/2) p2 .............> equation I
We also know that the sum of perimeters is 110, this means that:
p1 + p2 = 110 .........> equation II
Substitute by equation I in equation II as follows:
(3/2) p2 + p2 = 110
(5/2) p2 = 110
p2 = 44
Substitute by p2 in equation I to get p1 as follows:
p1 = (3/2) (44) = 66
Therefore:
perimeter of triangle 1 = p1 = 66
perimeter of triangle 2 = p2 = 44
Answer:
Perimeter of triangle 1 = p1 = 66
Perimeter of triangle 2 = p2 = 44
I need to know what does untethers mean
Answers
$14.30 watch ; 6 3/4% sales tax
Answers
Plot the line for the equation on the graph. y−4=−14(x−5)
Answers
y-4 = -14x + 70
-14x-y = -4-70
-1(14x+y) = -1(4+70)
-1 gets caancelled on both sides.
so, 14x+y = 74
now to form the points.
Take x as 0
then, 14x0+y = 74
y=74
So, the first point on the graph is (0,74)
Now take y as -10
Then, 14x+(-10) = 74
Now, 14x = 74+10
14x=84
x = 84/14
x = 6
so, the second point is (6,-10)
now connect these two points, (0,74) and (6,-10) and you got the line for the above equation. Similarly, we can get other points like this but would be a part of the same line.
Answer:
Hopefully this helps other people! :) I got it right on the test!
find −3(2.5−k)+0.5(7+8k)
Answers
(-3 * 2.5) + (-3 * -k) + (.5 * 7) + (.5 * 8k)
-7.5 + 3k + 3.5 + 4k
Combine like terms:
(-7.5 + 3.5) + (3k + 4k)
-4 + 7k
I don't see an equal sign so it's not an equation, just an algebraic expression, which means that the answer is -4 + 7k
Three hikers equally shared gallon of water. Explain how you would use an area model to find the amount of water each hiker drank.
Answers
Answer:
Draw a square and shade half of it. Then draw 2 lines to divide the square into 3 equal parts. There will be one shaded piece in each group, and there are 6 pieces total, so the answer is 1
6
of a gallon.
Step-by-step explanation:
You have 4 dimes, 5 quarters, and 3 pennies in your pocket. What is the probability of reaching in and randomly picking out a dime or a quarter? Express your answer as a fraction in lowest terms.
Answers
The probability of picking a dime or a quarter is 3/4
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, you have 4 dimes, 5 quarters, and 3 pennies in your pocket.
There are a total of 4 + 5 + 3 = 12 coins in your pocket.
The probability of picking a dime or a quarter can be calculated as the sum of the probability of picking a dime and the probability of picking a quarter. Since the coins are selected randomly, each coin has an equal chance of being picked.
The probability of picking a dime is 4/12 or 1/3, since there are 4 dimes in the pocket out of a total of 12 coins.
The probability of picking a quarter is 5/12, since there are 5 quarters in the pocket out of a total of 12 coins.
Therefore, the probability of picking a dime or a quarter is:
P(dime or quarter) = P(dime) + P(quarter)
P(dime or quarter) = 4/12 + 5/12
P(dime or quarter) = 9/12
P(dime or quarter) = 3/4
So the probability of picking a dime or a quarter is 3/4, or three-fourths.
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What's 140,250 rounded to the nearest 100,000
Answers
1 2 3 4 5 6 7 8 9 10 11 12 13 14
100,000
because if the number is less than five,
you round down,
and if the number is five or more,
you round up!
(EXAMPLE: 150,300 rounded to the nearest 100,000 would be 200,000)
Hope i helped! :)
What is 1920 divided by 12
Answers
what is 29.5 multiplied 2.6
Answers
Find the ending balance: Principal: $600
Interest Rate:5%
Time: 6 Years
Answers
6x5=30
then you add 30 to 600 so your answer is 630
Find the average rate of change of a function that contains the points (-2,3) and (2,5).
A. -2
B. 1/2
C. -1/2
D. 2
Answers
You borrowed $25 from your mom to buy close a week later you repaid her $13 write an expression to show how much money you owe
Answers
Why do you subtract exponents when dividing powers with the same base
Answers
Answer:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
Step-by-step explanation:
The quotient rule of exponential power states that:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
This can be easily understood with the help of an example:[tex]\displaystyle\frac{x^4}{x^2} = \displaystyle\frac{x\times x\times x\times x}{x\times x} = x^2 = x^{4-2}[/tex]
Basically, this quotient rule helps us to reducing the fractions. Since the numerator and the denominator is same as we have same base, we could simply subtract the powers to get the answer as illustrated in the above example.
When dividing powers with the same base, subtracting exponents simplifies the expression due to the quotient of powers rule is [tex]a^m / a^n = a^{(m - n).[/tex]
When dividing powers with the same base, subtract the exponents because of the properties of exponents.
The rule is known as the "quotient of powers" rule, and it states that when you divide two powers with the same base,
subtract the exponents to simplify the expression.
The rule can be stated as follows:
[tex]a^m / a^n = a^{(m - n).[/tex]
Here's why this rule works,
Let's say you have a number 'a' raised to two exponents 'm' and 'n':
[tex]a^m[/tex]= a × a × a ×... (m times)
[tex]a^n[/tex] = a × a × a × ... (n times)
Now, to divide these two powers, cancel out the common factors:
[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)
In the numerator and denominator, there are 'm' and 'n' occurrences of 'a', respectively.
Since we are dividing, we can cancel out 'n' occurrences of 'a' from the numerator and denominator:
[tex]a^m / a^n[/tex] = (a × a × a ×... ... × a) / (a × a × a ×...... × a)
= [tex]a^{(m - n)[/tex]
Therefore, when divide powers with the same base, subtract the exponents to simplify the expression and apply this property of exponents.
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solve the equation 20x-5y=10 for y
Answers
20x = 5y + 10
Minus 10 to the opposite side.
20x - 10 = 5y
Divide everything by 5 to get the value of y.
4x - 2 = y
Hope that helped! :)
First of all, if you want "y" by itself, let's move "20x" to the other side. In order to do that, we need to subtract "20x" from that side and then also subtract "20x" to the other side. After you do the subtraction, the equation should be simplified to: -5y = 10 - 20x.
Then, now to get "y" by itself, you need to get rid of "-5". And to get rid of "-5", you need to do the opposite of multiplying by "-5", which is dividing. After you divide to the left side, "-5" cancels each other out and you are only left with "y" on that side. Now, you nee to divide "5x" to the right side.
After you individually divide "-5" to the 10 and 20x, your answer should be:
y = -2 + 4x. Hope this helps. =)
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?
Answers
the quotient of a and c is 8. The product of a and c is 2. The quotient of a and b is -16. The product of a and b is -1. The quotient of b and c is -0.5. What is value of a,b, and c?
Answers
To find the values of a, b, and c, we can use the given information and solve the system of equations.
Explanation:To find the values of a, b, and c, we can use the given information and solve the system of equations.
From the first two statements, we have a/c = 8 and a*c = 2. This allows us to solve for a and c.
Similarly, from the next two statements, we have a/b = -16 and a*b = -1. Using these equations, we can find the values of a and b.
Finally, the last statement gives us b/c = -0.5, and we can use this equation to find the value of c.
Substituting the appropriate values for a, b, and c, we find that a = 1, b = 0.0211, and c = -0.0211.
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