Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
The simplified expression is [tex]27/(16x^6y^8).[/tex]
We have,
To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.
Let's simplify the numerator first:
[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]
Now, let's simplify the denominator:
[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]
Now we can divide the numerator by the denominator:
[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]
To divide the variables with the same base, we subtract their exponents:
[tex]27/16 * x^{6-12} * y^{12-20}[/tex]
Simplifying further:
[tex]27/16 * x^{-6} * y^{-8}[/tex]
To make the exponents positive, we can move the variables with negative exponents to the denominator:
[tex]27/(16x^6y^8)[/tex]
Therefore,
The simplified expression is [tex]27/(16x^6y^8).[/tex]
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What is the range of possible sizes for side x?
Answer:
12.0
Step-by-step explanation:
Add the sides and you get your answer
Need answer fast, for this st*pid IXL question:( 10 points! Hurry please! I have 10 more questions left to get to 100%!!!!
poor ixl 78+78 i think because it had 78 and she drove 78
help plz:
12. Multiply the following binomials:
a. (x + 3)(x - 4)
b. (s - 2)(2s - 12)
c. (4s - 12)(2s + 4)
d. (2x - 4)(2x - 4)
Answer:
a) x^2 - x -12
b) 2s^2 - 16s + 24
c) 8s^2 - 8s -48
d) 4x^2 - 16x + 16
Answer:
a. x^2 - x - 12
b. 2s^2 - 16s + 24
c. 8s^2 - 8 - 48
d. 4x^2 - 16 + 16
Step-by-step explanation:
You need to use distributive property find the answer.
(x + 3)(x - 4)
>> (x)(x) = x^2
>>(x)(-4) = -4x
(3)(x) = 3x
(3)(-4) = -12
The result will be x^2 -4x + 3x -12
You can simplify this by adding the like terms:
x^2 -4x + 3x -12
>> x^2 - x - 12
Just do the same for the rest of them by using distributive property.
Hope this helps! Have a great day! Also, let me know if you need an explanation for the rest of them too!
Fredrich’s solution to 6.75 x 12.314 is 8311950. He knows he needs to put a decimal point in his answer, but he is not sure where to place it. Help Fredrich decide where his decimal point should go.
What is 35x 1 ? OMG this is such a hard question!! first one to answer will get a brainliest!!!
Answer:
its 35
Step-by-step explanation:
PLSS HELPPP WITH MATH
Answer: B sorry if im wrong
Step-by-step explanation:
Answer:
i can't see it its blurry can you can tell me the Questing
Lol, I have no idea what to do
You make 12 equal payments for a go-kart. You pay a total of $1380. How much is each payment? The quotient is ______. So, each payment is ___________.
answer plz
Answer:
115; 115
Step-by-step explanation:
In this case, 1380 is the dividend, 12 is the divider, and the answer is the quotient. Thus we get the quotient, or each payment, is 1380/12=115
Michael consumes a 16-ounce bag of potato chips and 12-ounce bag of pretzels every day after school. How many more ounces of potato chips than pretzels will Michael have eaten at the end of a 5 day school week?
A.
20 ounces
B.
80 ounces
C.
60 ounces
D.
28 ounces
Every day, Michael consumes 4 more ounces than the pretzels. Multiply 5 by 4 to recieve the answer:
4 x 5 = 20
So the answer is A.
bobby has two poatatos he wants more so he pick 100 mor he sharees them amongst three friends EQUALY how many poatatos does each friend get?
Answer:
34
Step-by-step explanation:
If bobby already has 2 potatoes and picks 100 more, then he already has 102 potatoes. Now all you have to do is divide 102 by 3, which would be 34. If bobby is included with the friends, then all four of them would get 25.5 potatoes.
Answer: The answer is each friend gets 34 potatos
Step-by-step explanation: Each friend get 34 potatos because he first had 2 and then he picks 100 more so now he has 102. All you have to do know is divide 102 by 3 and you will get 34.
Help pls ASAP PLSSS its really important!
Answer:
25 - 01
Step-by-step explanation:
Answer:
The difference is like subtraction. the difference is 01 so, 24 - 01. I got this answer because it is the smallest that I can get to.
hope this helped.
what is this solid figure?
Answer:
Cylinder
Step-by-step explanation:
STEP ONE:
Identify base. It is a circle.
STEP TWO:
Identify the top of the figure. If it is the same as the lower base, then it is a cylinder.
So, this shape is a cylinder.
Please help me
(????)
Answer:
c
Step-by-step explanation:
The ratio of boys to girls in the cafeteria is 2:3. If there are 135 kids in the cafeteria, how many are boys?
Answer:
54
Step-by-step explanation:
Let,
No. of boys = 2x
No. of girls = 3x
2x + 3x = 135
5x = 135
x = 135/5
x = 27
No. of boys = 2x = 2(27) = 54
help im giving 90 points
Fill in the blanks to complete the sentences about zero pairs.
In which pair do both decimals represent rational numbers?
Answer:
A
Step-by-step explanation:
0.318 is a decimal that ends
0.3444... can be turned into the fraction 31/90.
Answer:
A
Step-by-step explanation:
alguien me da 5 fracciones inventados porfavor
por ejemplo 5/3 o algo si
si puedes y me ayudaria mucho es que si pueden darme la respuesta
pls tengo 11
:(
Answer:
Hola, he descubierto con qué querías ayuda! ¡Aquí hay 5 fracciones inventadas! 1/5, 1/4, 6/40, 7/8 y 21/30. ¡Espero que esto ayude! ¡Tener una gran noche! ¿Necesitas más ayuda?
Step-by-step explanation:
Hurry please!!! Quickly! I have to turn this in in 3 minutes---this is the last problem!!!
thx
1 = 84
3 = 252
7 = 588
10 = 840
Answer:
Step-by-step explanation:
Cheese
Today, the price of a new cell phone is $529. In 2000, the price of a similar cell phone was $149. Is this is price increase or decrease?
Answer:
The price of a similar cellphone today has increased
Answer:
increase
Step-by-step explanation:
Because the price went by $380.
Students on the softball team earned $295 from a car wash. How many team banners can they buy if each banner costs $8? Explain how you interpreted the remainder.
Answer:
37 banners (Or 36 since it would cause 1 dollar off.)
Step-by-step explanation:
The reason why the teams would be able to buy this much is because if we divide 8 and 295, to which it would give the number 36.
Ryan is planning a party for his parents’ anniversary. The caterer charges a delivery fee of $[tex]14[/tex] plus an additional $[tex]5.25[/tex] per person. If he can spend no more than $[tex]350[/tex], how many people can he invite?
X - How many people he can invite
im on my knees begging for help pls.
Ali has q quarters. Tom has four more quarters than Ali.
Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.
___+___
4 q 5 q+4 q+5 q-4 q-5
Answer:
q+4=Toms amount of quarters
Step-by-step explanation:
The tape diagram represents an equation...
Write an equation to represent the image...
Answer: try this for an example there are 6 boxes and you needed to make 9 whold you use 1.5 x 6 what does that equal yep 9
Step-by-step explanation: make me brainlist
Write an equation in slope-intercept form for the line with slope -2 and y-intercept 1. NO LINKS.
Answer:
y=-2x+1
Step-by-step explanation:
First you get the formula y=mx+b
m=Slope
b= Y intercept
so y=-2+1
70x + 50 = 190
What is x?
Answer:
x = 2
Step-by-step explanation:
70x + 50 = 190
=> 70x = 140
=> x = 2
Therefore, x = 2.
Hoped this helped.
Find the missing values in the ratio table. Then write the equivalent ratios. People 6 18 Benches 3 12 a The equivalent ratios are 6 : 3, : 12, and 18 : . Skip to navigation
The missing values in the ratio table are;
⇒ 6 : 3 , 24 : 12, and 18 : 9
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Peoples = 6 , 18
Benches = 3, 12
Now,
The equivalent ratios are;
⇒ 6 : 3 , x : 12 , 18 : y
Find the values of x and y as;
Since, All the ratio are equivalent.
So, we get;
⇒ 6 : 3 = x : 12
⇒ 6 / 3 = x / 12
⇒ 6 × 12 / 3 = x
⇒ x = 24
And, ⇒ 6 : 3 = 18 : y
⇒ 6 / 3 = 18 / y
⇒ 6 × y = 18 × 3
⇒ y = 18 × 3 / 6
⇒ y = 9
Thus, The missing values in the ratio table are;
⇒ 6 : 3 , 24 : 12, and 18 : 9
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Solve this worth 15 points
Answer:
1×10^8
Step-by-step explanation:
First, multiply 1 million by 100 because 1 dollar is worth one hundred pennies. In total, it takes 100000000 pennies for 1 million dollars. Then, because there are 8 zeros, it would be 1 times 10 to the 8th power.
pls help!!!! ASAP!!
Answer:
5:3
Step-by-step explanation:
The ratio is 5 to 3
chocolate being 5 and oatmeal being 3
A special piece of equipment is used at a construction site to dig holes. A hole is dug to a depth of 3.25 feet when the equipment hits rock. The progress slows to 5/8 feet per hour of digging. The depth of the hole must be at least 11 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the equipment must continue at its present rate to complete the hole on schedule?
Select from the drop-down menus to correctly complete the statement.
The equipment requires at least 13 or 23 hours and 2/6/12/36 minutes to complete the hole on schedule.
Answer:
13 hours and 12 minutes
Step-by-step explanation:
You put 3.25 as a fraction which is 3 1/4. then I took 3 1/4 and misused it by 11 1/2. 23/2 - 13/4 = 8 1/4 then we took the 5/8 and divided it by 33/4 (3 1/4) I got 13 1/5. 13 1/5 is 13 hours and 12 minutes.
Minimum amount of time taken to complete the hole is 13 hours and 12 minutes.
What is proportion?In mathematics, proportion is an equation where two ratios are taken to be equal to each other. Suppose if a:b = c:d, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex].
In the question, it is given that, a hole is already dug to a depth of 3.25 feet = 3 [tex]\frac{1}{4}[/tex] feet.
Also, the depth of hole at the end of the day must be atleast 11 [tex]\frac{1}{2}[/tex] feet.
Remaining depth of the hole needed to dug = 11 [tex]\frac{1}{2}[/tex] - 3 [tex]\frac{1}{4}[/tex] = [tex]\frac{23}{2}[/tex] - [tex]\frac{13}{4}[/tex] = [tex]\frac{33}{4}[/tex] feet
Rate of digging is [tex]\frac{5}{8}[/tex] feet per hour.
We have to find how much time will be taken for [tex]\frac{33}{4}[/tex] feet.
In proportional form, it can be written as [tex]\frac{5}{8}[/tex] : 1 = [tex]\frac{33}{4}[/tex] : x, where x is the time taken to complete [tex]\frac{33}{4}[/tex] feet.
⇒ [tex]\frac{5}{8}[/tex] / 1 = [tex]\frac{33}{4}[/tex] / x
Cross multiplying, we get
[tex]\frac{5}{8}[/tex] × x = [tex]\frac{33}{4}[/tex] × 1
⇒ x = [tex]\frac{33}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]
Hence the minimum amount of time the equipment must continue at the present rate to complete the hole on schedule is 13 hours and 12 minutes.
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