Answers
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
(a)
3 × a × 2 × b
= 3 × 2 × a × b
= 6ab
(b)
[tex]c^{5}[/tex] × c
= [tex]c^{(5+1)}[/tex]
= [tex]c^{6}[/tex]
(c)
2[tex]y^{4}[/tex] × 5y³
= 2 × 5 × [tex]y^{4}[/tex] × y³
= 10 × [tex]y^{(4+3)}[/tex]
=10[tex]y^{7}[/tex]
(d)
3gh² × 4g³h³
= 3 × 4 × g × g³ × h² × h³
= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]
= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]
Related Questions
Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45
Answers
Answer:
Together, Jill and Sam read 36 pages.
Step-by-step explanation:
9 + (9 * 3)
9 + 27
36
Answer:
27
9x3 is 9+9+9 then its 27
What is the answer to 11(3x + 5y)
Answers
Answer:
33x + 55y
Step-by-step explanation:
1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.
[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]Therefore, the answer is 33x + 55y.
33x+55y
The perimeter of a triangle is (x
3 + 2x
2 − x − 1) cm. The lengths of two sides are
(7x
3 + 12x − 7) cm and (2x
3 − 3x
2 + 5x − 11) cm. Find the length of the remaining side of
the triangle.
Answers
Step-by-step explanation:
A=7x+3+13x-7
B=2x+3-3x
P=x+3+2x+2-x-1(hope those are the numbers)
C=?
7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1
22x-1+C=2x+4
C=2x+4-22x+1
C=-20x+3
You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?
I already know how to do it with With Distribution, Can somebody please do the Calculation Without Distribution?
Answers
First you add up al the original prices which is 2.50, 4.95, and 6.00 and you should get 13.45
Then you would do 13.45 times 20 and you should get 269 and now you divide 269 by 100 and that would be 2.69 and thats 20% off now take 13.45 your total subtracted by your 20% off which is 2.69 and you would get 10.76 and thats your total
The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale
Answers
Step-by-step explanation:
28 dollars is the answer
Can someone pls help me
Answers
Answer:
6
Step-by-step explanation:
[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=117-81[/tex]
[tex]\\ \sf\longmapsto P^2=36[/tex]
[tex]\\ \sf\longmapsto P=6[/tex]
A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]
Answers
Answer: 14
Step-by-step explanation:
The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:
m=4-(-10)/9-8
m=4+10/9-8
m=14/1
m= 14
Adam is scuba diving. He descends 5 feet below sea level. He then descends the same distance 4 more times. What integer represents Adam's new DISTANCE from sea level?
O -25ft
O 20ft
O 9ft
0 -20 ft
Answers
Answer:
-20 ft
-5×4= -20
-5ft×4= -20ft
sorry to ask this late on Friday but stuck at home without a calculator Plllleeeaaassseee Hep me!!!!!!!!!!!!!!!!!!!!!!
5+842+6666+7432+84 x 4
Answers
Answer:(:
Step-by-step explanation:
15281
what is the answer when you round 522 254 to the nearest 10
Answers
Answer:
522250
How to round to the nearest tenth:
Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.
For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.
3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.
Simplify −n+(−4)−(−4n)+6
Answers
Answer:
2+3n
Step-by-step explanation:
-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3nHow many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.
1 There is one solution, because the coefficients of the variables on both sides of the equation are different.
2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.
3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.
4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answers
Answer:
I think 2? maybe 1.
Step-by-step explanation:
because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0
Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest
Answers
(2.1 x 10^2) x (3.0 x 10 ^4)
Answers
Answer: 6,300,000
Step-by-step explanation:
First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to
(2.1 x 100) x (3.0 x 10000)
210 x 30000
6,300,000
Please help, I’ll mark your answer as brainliest!
Answers
7b+4
Factor 1/2 out of (1/2d + 6)
Answers
Answer:
6/7
Step-by-step explanation:
i watched a video
(2,4) is perpendicular to y:2x
Answers
Answer:
is a Step-by-step explanation:
combination
A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:
2
+
2
=
4
.equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
ordered pair
Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates
(
x
,
y
)
, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.
solution
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase.
A child's weight was 200% what it was at age 3. by what percent did the child's weight increase by
Answers
Answer:
The child's weight increase by 66.7%
the cost of plastering the wall of a room which is 4m high and breadth is one third of its length is Rs 640 at the rate of Rs 5/ meter square. What will be the cost of carpeting its floor at rate of rs 250/ meter square.
Answers
Answer:
Step-by-step explanation:
Please refer to the attachement. I defined the height (H), width (W), and length (L) and set:
H = 4m and W = (1/3)L. The total cost of 640 Rs/m^2 is divided by the rate cost of Rs 5/m^2 to give 128 m^2 that was plastered. The total area of the walls must be 128 m^2, so then calculate the total wall area: The walls for the length are 2*LH and for the width are 2*WH. Substituting, we have a total of 8*L + (4/3)L = 128 m^2. Solve for L to obtain L = 12m. W is 1/3L, or 4m. The room is (W,L,H) 4, 12, and 4 meters. The floor is W*L, or 48m^2. At Rs 250/m^2, the rug will cost Rs 12000. Ouch.
HOW TO FIND A FRACTION OF THE ENGLISH ALPHABET IS A SET OF CONSENENTS
Answers
Answer:
21/26
Step-by-step explanation:
In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.
so the fraction would be 21/26
Help Please!!!!!!!!
Answers
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
Bags are filled with bird food at a rate of 420 grams per second.
How many 20 kg bags can be completely filled in 4 hours?
Answers
Answer:
302
Step-by-step explanation:
420(grams per sec)x60(seconds in a min) = 25,200(grams per min)
25,200x60(min in an hour) = 1,512,000(grams an hour)
1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)
1,512/20 (size of bag) = 75.6 (bags filled per hour)
75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answers
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
When you rotate a figure, does every point move the same distance? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
Because the figure is only 1 product or thing
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
guys pls help me!!!!!!
Answers
x=167⁰ (alternate or z angles)
Please answer these and find the slope intercept form for each one.
Best answer gets brainiest!
Answers
If the original quantity is 10 and the new quantity is 14, what is the percent increase?
Answers
Answer:
40% increase
Step-by-step explanation:
10 is you 100%
if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%
Which function has a domain of {all real values of x : x does not equal 1)? **Hint: Graph the function and look for an asymptote where x does not equal 1.
See attached below..
Please help, I need an explanation because I don’t understand how this works.
Answers
(Just a side rant, the reason none of them are technically correct is because x cannot equal -1 either… just some bonus points you could redeem with your teacher if you feel like it)
There are 60 runners in a race. How many ways can the runners finish first, second, and third?
Answers
Answer:
There are 720 possible results.
Step-by-step explanation:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?
Please try as much as possible to explain your answers.
Answers
Answer:
19
Step-by-step explanation:
(48 - 23) + 6 = 31
23 - 6 = 17
(48 - 23) -6 = 19
The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
It is given that:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Based on the information we can draw a Venn diagram:
From the Venn diagram:
A + B = 17 + 6
A + B = 23
B = 6
A + B + C = 48
A = 23 - 6 = 17
C = 48 - 17 - 6
C = 25
The total number of pupils who only study Government = 25
The total number of pupils who study Government = 25 + 6 = 31
The total number of pupils who study Economics only = 17
Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
Learn more about the Venn diagram here:
brainly.com/question/1024798
#SPJ2