Answers
Answer:
27
Step-by-step explanation:
[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]
Make everything in the form of exponet.
[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]
Use the rule.
[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]
[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
Cancel out like Terms.
[tex] \frac{3 {}^{4} }{3} [/tex]
Use the property
[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]
So we have
[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]
[tex]3 {}^{3} = 27[/tex]
(2^3 x 3^4 x 4)/(3 x 32)
= (2^3 x 3^4 x 2^2)/(2^5 x 3)
= 3^4/3
= 3^3
Related Questions
Help please what is the answer
Answers
Answer:
Area of triangle=
1/2bh
=1/25×9
=22.5
the answer is 22.5
Answer:
B
Step-by-step explanation:
9x5=45
then you do 45 divided by 2= 22.5
you divide because of the line and because its a triangle
im right trust me
Warren wanted to save money to purchase a new car. He started by saving $1 on the first of January. On the first of February, he saved $4. On the first of March, he saved $16. So on the first day of each month, he wanted to save four times as much as he did on the first day of the previous month. If Warren continues his savings pattern, how much will he need to save on the first day of July?
On the first day of July he will need to save $ (your answer here)
.
Answers
Answer:
On the first day of July he will need to have saved $4098 for his new car.
Step-by-step explanation:
So we know that on March he save $16 and the amount he needs to save each month increases by 4 times the previous month’s amount.
We can conclude then for April he would need to have saved $64.
In May, if we repeat the pattern of multiplying the previous month’s savings by 4, Warren would have saved $256.
We will continue this pattern for June and July.
In July we will multiply $1024 (total saved in June) by 4 to find that in July, Warren will have needed to save $4098
Hope this helps you out :)
Answer:262144
Step-by-step explanation:
If your doing this on savvas for school this will be the answer not the other
Can someone solve this problem for me please?
Answers
Which statement is true?
[tex] \frac{2}{5 } = 0.4[/tex]
[tex]20\% = \frac{1}{2} [/tex]
[tex]0.3\% = 0.03[/tex]
[tex]8.6 = 0.086\%[/tex]
Answers
Answer:
This is the right one that's true
[tex] \frac{2}{5 } = 0.4[/tex]
[tex]8.6 = 0.086\%[/tex]
I’m posting my homework
Answers
The answer is VW = 47.
Please help me solve all of this
Show your work
NO LINKS!!
Answers
Answer:
1.7 x 10= 17 (moving one decimal point to the right)
1.7 x 100=170 (moving two decimal points to the right)
1.7 x 1000= 1700 (moving 3 decimal points to the right)
Reflect: The decimal changes depending on the number of zeros in each multiple of ten that it is multiplied by. If it is multiplied by 10 for instance, the decimal is moved one place to the right since there is one 0, if by 100 then it is moved two places to the right since there are 2 zeros, and if by 1000 then it is moved 3 places to the right for the 3 zeros.
A motorcycle travelled 302 km. It travels an average of 14.9 km on a litre of petrol. Without using a calculator, estimate the number of litres of petrol used.
Answers
Answer:
20.268liters
Step-by-step explanation:
thereby the total distance is 302km and 1liter of fuel is use on 14.9
thus
1 litter = 14.9km
x. 302km
Let find the value of x
14.9kmx = 302kmliter
14.9km. 14.9km
like terms cancel each other
thus
x = 20.268456375
x = 20.27liters
Help me ASAP
I will give you BRAINLEAST
Follow the directions in the Image
Answers
It will take the turkey about 3 hours to roast.
abby has let out 42 meters of kite string when she observed that her kite is directly above christiana. if abby is 8.5 meters from christina what is the angle of elevation of the kite
Answers
Answer:
78 degrees
Step-by-step explanation:
this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹
cos⁻¹(8.5/42) = 78.3 degrees
Simplify the expression |12-5|-(6/2+1)^2
Answers
Answer:
-9
Alternative form:
-[tex]3^{2}[/tex]
----------------------------------------------------
Steps:
1- Cross out the common factor
2- Calculate the sum or difference
3- Calculate the absolute value
4- Calculate the power
5- Calculate the sum or difference
The sum of two numbers is sixteen. One number is forty less than three times the other. Find the numbers.
Answers
Answer:
y = 14 x = 2
Step-by-step explanation:
what we know:
x + y = 16
x = 3y - 40
3y - 40 + y = 16
4y - 40 = 16
add 40 to both sides
4y = 56
y = 14
x = 3(14) - 40
x = 42 - 40
x = 2
If given in the following expression, find the value of
(x^3 + y^3):(x^3-y^3)
If (x^2+y^2)/(x^2 -y^2)= 17 /8
Answers
Step-by-step explanation:
Given that:
{(x²+y²)/(x²-y²)} = 17/8
On applying cross multiplication then
since, (a/b) = (c/d) ⇛a(d) = b(c)
Where, x = x²+y², b = x²-y², c = 17 and d = 8
So,
⇛17(x²-y²) = 8(x²+y²)
Multiply the number outside of the brackets with variables in the brackets on both LHS and RHS.
⇛17x²-17y² = 8x²+8y²
⇛17x²-17y² - 8x²-8y² = 0
⇛17x²- 8x² - 17y² - 8y² = 0
⇛9x² - 25y² = 0
⇛9x² = 25y²
⇛9/25 = y²/x²
⇛25/9 = x²/y²
⇛x/y = √(25/9)
⇛x/y = √{(5*5)/(3*3)}
⇛x/y = 5/3
Therefore, x:y = 5:3
Let x = 5a and y = 3a
Now, (x³+y³):(x³-y³)
= {(x³+y³)/(x³-y³)} = [{(x+y)(x²-xy+y²)}/{(x-y)(x²+x-y+y²)}]
= [{(5a)³ + (3a)³}/{(5a)³ - (3a)³}]
= [{(5*5*5*a*a*a) + (3*3*3*a*a*a)}/{(5*5*5*a*a*a) - (3*3*3*a*a*a)}]
= {(125a³ + 27a³)/(125a³ - 27a²)}
= {(152a³)/(98a³)}
= 152/98
Write the obtained fraction in lowest form by cancelling method.
= {(152÷2)/(98÷2)}
= 76/49
Therefore, , (x³+y³):(x³-y³) = 76/49
Answer: Hence, the required value of (x³+y³):(x³-y³) is 76/49.
Please let me know if you have any other questions.
Answer:
76:49 or 49:76
Step-by-step explanation:
The second relation gives an expression for y in terms of x:
[tex]\dfrac{x^2+y^2}{x^2-y^2}=\dfrac{17}{8}\\\\8x^2+8y^2=17x^2-17y^2\qquad\text{cross multiply}\\\\25y^2=9x^2\qquad\text{add $(17y^2-8x^2)$}\\\\5y=\pm3x\qquad\text{take the square root}\\\\y=\pm\dfrac{3}{5}x\qquad\text{divide by 5}[/tex]
Substituting into the expression we want the value of, we can factor out x^3 to get ...
[tex](x^3+y^3):(x^3-y^3)=(1\pm(3/5)^3):(1\mp(3/5)^3)=(125\pm27):(125\mp27)\\\\=152:98\text{ or }98:152=\boxed{76:49\text{ or }49:76}\m[/tex]
_____
Additional comment
There is nothing in the given requirement that means x and y must have the same sign. If the signs are different, then the value of the expression is less than 1, rather than greater than 1.
Plss someone help and explain if you can Plss help
Answers
above is the answer. typing is not getting allowed dunno why
Answer:
Step-by-step explanation:
44) I’ll try to explained detailed as possible.
So first of all we have: 180-120=60 => this is the value of angle(BCA)
=> we know that a triangle has 180 degree in total =>
Now we will have to add all angles,their sum will be equal to 180.
=> (2x+28)+(3x-13)+60=180
2x+28+3x-13=180-60
5x+15=120
5x=105
x=105/5
x=21
=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.
when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of the water in storage in 8 days. if mrs adams camps alone in how many days will she use all of the water?
Answers
Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are:
Together: 1/8.Mr Adam: 1/12.Mrs Adams: 1/x.Hence:
[tex]\frac{1}{12} + \frac{1}{x} = \frac{1}{8}[/tex]
[tex]\frac{x + 12}{12x} = \frac{1}{8}[/tex]
[tex]12x = 8x + 96[/tex]
[tex]4x = 96[/tex]
[tex]x = \frac{96}{4}[/tex]
[tex]x = 24[/tex]
If Mrs Adams camps alone, she will use all the water in 24 hours.
More can be learned about the together rate at https://brainly.com/question/25159431
Solve the inequality
Answers
4x + 8 > 12
4x > 4
x > 1
A skating rink sold 66 tickets. 2/3 were children's tickets. How many adults tickets were sold
Answers
Answer:
22
Step-by-step explanation:
22 x 3 = 66
1/3 would be 22
The sum of all the positive terms in the geometric sequence 54, -36, 24, -16, ... is
A. 32.4
B. 97.2
C. 121.5
D. 162. 1
Answers
Answer:
see the pic above for answer
I hope it helps you, mate
A randomly generated list of integers from 0 to 4 is being used to simulate an
event with the numbers 2 and 3 representing a success. What is the
estimated probability of a success?
Answers
Answer:
2/5
Step-by-step explanation:
No of items =5(0,1,2,3,4)
No of favourable conditions =2(2,3)
Gk, probability =2/5
Answer:
40% chance of success
Step-by-step explanation:
The possible integers chosen are 0, 1, 2, 3, and 4.
Since the numbers are randomly chosen and the numbers 2 and 3 represent a success, and the numbers 0, 1, and 4 represent a failure, and there are 5 possible outcomes, there is a 2/5 chance of success. Therefore, you have an estimated 40% chance of a success.
233÷45 (67×89) long division please
Answers
Hey there!
233 ÷ 45 (67 × 89)
= 233 ÷ 45(5,963)
= 1,389,379 ÷ 45
= 30,875.08888888889
Therefore, your answer is:
30,875.08888888889
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation:
The answer is (30875.0888889)
there is a literal calculator that you can look up that will give you the answer.
Carly is playing her violin at a music festival and earns $8 for each song she plays. Maxwell is playing at a local coffee shop and earns $10 for each song he plays, but also has to pay a $50 fee to play there.
Answers
Answer:
If you wanted to know how much songs Maxwell will have to play to pay the fee to play there, ($50 dollars) he will have to play 5 songs.
Step-by-step explanation:
The question to the awnser is how much can 10 go into 50. That means you have to divide 50 by 10. You can put 10 5 times into 50, and you can make sure of that by timing 10 by 5. I have no idea though what you need. Sorry if im saying somthing different than wht you want.
An online store holds a sale. Of the 500 customers who make purchases during the sale, 120 use a coupon. What percent of the customers do not use a coupon?
Answers
Total no of customers = 500
Used coupon = 120
Not used coupon = 500 - 120 = 380
We need to find the percentage of the customers do not use a coupon. It can be given by :
380/500×100
So, there are 76% of the customers that do not use a coupon.
500/100=5
Next, figure out what percentage of customers used a coupon
120/5= 24
Finally, find the percentage of customers who didn’t use a coupon
100-24=76%
A manufacturer drills a hole through the center of a metal sphere of radius R. The hole has a radius r. Find the volume of the resulting ring.
Answers
The volume of the resulting ring is (4/3)π(R³ - r³)
Volume
The volume of an object is the amount of space occupied by the object in three dimension.
The volume (V) of a sphere is given by:
V = (4/3)πr³
Where r is the radius of the sphere.
For the sphere with radius R, volume is:
V = (4/3)πR³
The hole with radius r, has a volume of:
V = (4/3)πr³
Hence volume of the ring = (4/3)πR³ - (4/3)πr³ = (4/3)π(R³ - r³)
The volume of the resulting ring is (4/3)π(R³ - r³)
Find out more on Volume at: https://brainly.com/question/1972490
Help me please!! I don’t know what to do!
Answers
Answer:
all you to do is get your calculator or you can just ask an adult for help or you can do it yourself or you can solce them step by step
hello help me with this question thanks in advance
Answers
[tex]\bold{\huge{\purple{\underline{ Solutions}}}}[/tex]
Answer 5 :-We have,
[tex]\sf{ HE = 2x cm \: and \: OR = ( x + 5)cm}[/tex]
We know that,
Parallelogram has opposite sides parallel and equal.From above property,
[tex]\sf{ HE = OR }[/tex]
[tex]\sf{ 2x = x + 5}[/tex]
[tex]\sf{ 2x - x = 5}[/tex]
[tex]\sf{ x = 5}[/tex]
Thus, The value of x is 5cm
Therefore,
The value of HE
[tex]\sf{ = 2x}[/tex]
[tex]\sf{ = 2× 5}[/tex]
[tex]\sf{\red{ = 10 cm}}[/tex]
The measurement of HE is 10 cm
Hence, Option A is correct
Answer 6 :-We have,
[tex]\sf{m}{\sf{\angle{HER = 5y - 26° \: and\: m }}}{\sf{\angle{ ROH = 2y + 40°}}}[/tex]
In parallelograms, Opposite angles are equalFrom above property,
[tex]\sf{m}{\sf{\angle{HER = }}}{\sf{\angle{ ROH}}}[/tex]
[tex]\sf{ 5y - 26° = 2y + 40°}[/tex]
[tex]\sf{ 5y - 2y = 40 + 26}[/tex]
[tex]\sf{ 3y = 40 + 26}[/tex]
[tex]\sf{ y = 66/3}[/tex]
[tex]\sf{ y = 22°}[/tex]
Thus, The value of y is 22°
Therefore,
The measurement of Angle HER
[tex]\sf{ = 5 × 22 - 26 }[/tex]
[tex]\sf{ = 110 - 26 }[/tex]
[tex]\sf{\red{= 84° }}[/tex]
The measurement of angle HER is 84°
Hence option D is correct
Answer 7 :-We have,
[tex]\sf{ HZ = 4a - 5 \:and \:RZ = 3a + 5 }[/tex]
The diagonals of parallelogram are equal in length Here, RZ is the bisector of diagonal HR[tex]\sf{ 4a - 5 = 3a + 5 }[/tex]
[tex]\sf{ 4a - 3a = 5 + 5}[/tex]
[tex]\sf{ a = 10}[/tex]
Thus, The value of a is 10
Therefore,
The measurement of HZ
[tex]\sf{ = 4 × 10 - 5 }[/tex]
[tex]\sf{ = 40 - 5 }[/tex]
[tex]\sf{\red{= 35 \: cm }}[/tex]
The measurement of HZ is 35 cm
Hence, Option C is correct
Answer 8 :-We have ,
One diagonals = 5x - 47
Another diagonal = 2x + 34
In isosceles trapezoid, Diagonals are equal in length.From above property,
[tex]\sf{ 5x - 47 = 2x + 34 }[/tex]
[tex]\sf{ 5x - 2x = 34 + 47}[/tex]
[tex]\sf{ 3x = 81 }[/tex]
[tex]\sf{ x = 81/3 }[/tex]
[tex]\sf{ x = 27}[/tex]
Thus, The value of x is 27
Hence, Option A is correct
Answer 9 :-We have,
The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )
In parallelogram, Opposite sides are equalFrom above property,
[tex]\sf{ 7x - 1 = 6x }[/tex]
[tex]\sf{ 7x - 6x = 1 }[/tex]
[tex]\sf{ x = 1 }[/tex]
[tex]\sf{ 5x + 10 = 7x - 2}[/tex]
[tex]\sf{ 7x - 5x = 10 + 2 }[/tex]
[tex]\sf{ 2x = 12}[/tex]
[tex]\sf{ x = 12/2 }[/tex]
[tex]\sf{ x = 6 }[/tex]
Thus, measurements of parallelogram GAME in inches is 1 and 6 .
Hence, Option B is correct
Answer 10 :-We have,
[tex]\sf{ ES = 18 cm}[/tex]
The diagonals of rectangle are equal in length. Here, NP = OE PS and NS act as a bisector in OE and OS and ES act as a bisector in NPFrom above we can say that,
[tex]\sf{ OE = OS + ES }[/tex]
[tex]\sf{ OE = 2ES ( OS = ES bisector}[/tex]
[tex]\sf{ OE = 2 × 18 }[/tex]
[tex]\sf{ OE = 36cm }[/tex]
Thus, The value of OE is 38 cm
Therefore,
[tex]\sf{ OE = NP }[/tex]
[ Diagonals of the given rectangle ]
[tex]\sf{\red{NP = 36 cm }}[/tex]
Thus , The value of NP is 36 cm
Hence, Option C is correct
what is the markdown what was sebastains percent error on his prediction
Answers
Answer:
i need the answer
Step-by-step explanation:
A pizza is an example of a circular object. For each part of the circle in the table, provide a description of where you see
that part in the pizza.
Answers
Answer:
radius = length of one straight edge of one slice of pizza
minor arc = sum of the lengths of the curved edges of 1, 2, or 3 adjacent slices of pizza
diameter = length of 2 straight edges of 2 opposite slices of pizza
major arc = sum of the lengths of the curved edges of 5, 6 or 7 adjacent slices of pizza
semicircle = sum of 4 adjacent slices of pizza
What is the length of BC in the right triangle below?
Answers
Answer:
b. 98
Step-by-step explanation:
brainliest pls
Answer:
d
Step-by-step explanation:
srry im doing a thing
where i have to do 30 Q to get $300
Solve the triangle for which ∠ A = 30 ∘ , ∠ B = 45 ∘ , and a = 20 . Round to the nearest whole number. Do not use a decimal point or spaces in your answer or it will be marked incorrect. b = ∘
Answers
Answer:
[tex]b=20\sqrt{2}[/tex] units
Step-by-step explanation:
Recall the Law of Sines
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Solve for side "b" given ∠A, ∠B, and side "a"
[tex]\frac{sinA}{a}=\frac{sinB}{b}\\ \\\frac{sin(30^\circ)}{20}=\frac{sin(45^\circ)}{b}\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20(\frac{\sqrt{2}}{2})\\ \\0.5b=10\sqrt{2}\\\\b=20\sqrt{2}[/tex]
Therefore, [tex]b=20\sqrt{2}[/tex] units
Answer:28
Step-by-step explanation:
i’m doing homework with my little brother and i have no idea what this means, can someone help, quick?
Answers
Answer:
If the clock goes up 5 minuets, what time would it be? Good luck loggan!
Answer:
1: 7:15
2: 10:35
3: 5:50
Have a good day
The wholesale price for a pair of shoes is $6.50. A certain department store marks up the wholesale price by 40%. Find the price of the pair of shoes in the
department store
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$9.10 dollars
Step-by-step explanation:
The original price of the shoes is $6.50, so we want to add 40% to that. There are two ways to do this.
Method 1:
Find 40% of 6.50, and add it to 6.50.
[tex]6.5*0.4= 2.6\\6.5+2.6=9.1[/tex]
Method 2:
Multiply 6.5 by 1.4 (including the original percent of 100 and adding 40 percent to it)
[tex]6.5*1.4=9.1[/tex]