Answers
Answer:
1. [tex]\frac{x^2}{y^8}[/tex]
2 a) [tex]\frac{-49}{2}[/tex]
b) 0
3. x = 10
Step-by-step explanation:
1.
[tex](\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}[/tex]
2. a)
[tex]2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}[/tex]
b)
[tex]-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0[/tex]
3.
[tex]\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10[/tex]
Related Questions
grade 9 maths pls help
Find the zeroes of i) ( x-31) (x+2) ii) 3x +5
Answers
Answer:
ok i will help .........
If cost price of 10 calculators is equals to selling price of 16 calculators .find profit or loss percentage......... tell me
Answers
Answer:
37.5%
Step-by-step explanation:
10 × cost price = 16 × selling price
cost price : selling price = 16 : 10
=8:5
loss % = (3/8)×100
=37.5%
Answer:
It's a loss
Step-by-step explanation:
Children and adults purchased tickets for a local amusement park.all tickets were sold at the park entrance-season passes,discount,atc.we’re not allowed.A child’s tickets cost $8 while an adult ticket cost $15.A total of 5,500 was collected.600 tickets were sold.how many of each type of ticket were sold?
Answers
Answer:
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 600 (1)
8x + 15y = 5,500 (2)
From (2)
x = 600 - y
Substitute x = 600 - y into (2)
8x + 15y = 5,500 (2)
8(600 - y) + 15y = 5,500
4,800 - 8y + 15y = 5,500
- 8y + 15y = 5,500 - 4,800
7y = 700
y = 700/7
y = 100
Substitute y = 100 into (1)
x + y = 600 (1)
x + 100 = 600
x = 600 - 100
x = 500
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.
Answers
( 78 -75 / 75 ) × 100 =
(3/75 )× 100 =
( 3 / 3 × 25 ) × 100 =
(1/25) × 100 =
100/25 =
% 4
75 is 24% of what number?
I WILL GIVE BRAINLIEST!!!!
Answers
Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
Chloe is putting up a wallpaper border in her room. She has drawn a sketch on a coordinate grid. The diagram is
shown below.
How many feet of border should Chloe buy?
A) 38 feet
B) 42 feet
C) 80 feet
D) 88 feet
Answers
Given:
The figure of a wallpaper border.
To find:
The total required border.
Solution:
The given figure has 8 vertices and 8 edges (sides).
From the given figure it is clear that the length ( in feet) of 8 edges of the figure are 12, 2, 2, 2, 2, 3, 12, 7.
We need to find the total required border. So, we have to find the perimeter of the figure.
Add the lengths of all edges to get the perimeter of the given figure.
[tex]Perimeter=12+2+2+2+2+3+12+7[/tex]
[tex]Perimeter=42[/tex]
So, Chloe should buy 42 feet of border.
Therefore, the correct option is B.
A box contains 60 identical marbles where x of them are red while the rest are yellow. If a marble is drawn and the probability that it is white is 1/12, find the value of x.
b: How many white marbles must be added to the box so that the probability of choosing a white marble is 5/16?
Please answer I will make brianliest!!
Answers
Answer:
a. x is 55
b. 20 white marbles
Step-by-step explanation:
Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)
a. The number of identical marbles in the box, n = 60
The number of red marbles = x
The number of white marbles = The rest of the marbles which are not red
The probability that a marble drawn is white, P(y) = 1/12
Let 'y' represent the number of white marbles
From probability theory, we have;
The number of white marbles, y = n × P(y) = 60 × 1/12 = 5
The number of red marbles, x = n - y = 60 - 5 = 55
x = 55
b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;
Let Δy represent the number of white marbles added, therefore;
P(y) = (y + Δy)/(y + Δy + x)
∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16
5 × (60 + Δy) = 16 × (5 + Δy)
300 + 5·Δy = 80 + 16·Δy
16·Δy - 5·Δy = 300 - 80
11·Δy = 220
Δy = 220/11 = 20
The number of white marbles that must be added, Δy = 20 white marbles
If the truck has a mass of 3,000 kilograms, and a velocity of 45 m/s, what is its momentum? show working
Answers
Answer: p = 70,000 kg m/s
Step-by-step explanation:
HELP ASAP
Find x to the nearest hundredth.
Answers
Answer:
x = 10.28
Step-by-step explanation:
sin = opp/hyp
sin 40 = x / 16
multiply both sides by 16
16 * sin40 = x
x = 10.284601754984629
Rounded
x = 10.28
Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answers
Answer:
instead of finding x find an ps4
Step-by-step explanation:
like what
A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program
Answers
Answer:
B
Step-by-step explanation:
It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.
What is recycling?Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.
Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.
Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.
To find more on recycling, refer here:
https://brainly.com/question/11861824
#SPJ2
Which ordered pair is a solution of the equation?
-x- 4y = -10
Answers
Answer:
There are many ordered pairs that are solutions to the equation but here are the few; (0,2.5), (2,2), (4,1.5), (-2,3), (-4,3.5), (-6,4), (6,1), (8,0.5), etc...
Step-by-step explanation:
I used a graphing calculator
hope this is helpful
HELP!!! im running out of time
student is selected at random what is the probability the student is a female junior
Answers
Answer:
20%
Step-by-step explanation:
total male = 14
total female = 16
total students 30
there are only 6 females that are juniors so the probability of picking one would be 6/30
and 6/30 is equal to 0.2 (divide)
and 0.2 is equal to 20% (move the decimal right two spaces)
Plz I really need help with this
Answers
Answer:
25
Step-by-step explanation:
i have 1 hour to do this. please help me :). 20pts!!!
Answers
Mrs. Rios put a wallpaper border around the room shown below. She used 70 feet of wallpaper border. What is the unknown side length?
Answers
Answer: 16 feet
Step-by-step explanation:
Looking at the shape, one can notice that the unknown side can be found by adding the sides that are circled because they will give the same distance.
The length of the unknown side is therefore:
= 8 + 8
= 16 feet
Need help thanks :)
Answers
Answer:
Answer 1= 2 square
Answer 2= 33
Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?
A) 200
B) 15
C) 185
D) 0
Answers
Answer:
15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)
Step-by-step explanation:
(trigonometry) solve for x
Answers
Step-by-step explanation:
since given triangle is right angle,
Taking angle X as reference angle.
Tan x =p/b
Tan x=37/8
Tan x=4.625
X=tan^-1(4.625)
X=77.79
X=78°
Find BC in ABC round to the nearest 10th PLEASE ROUND TO THE NEAREST THENTH
Answers
Answer:
The measure of angle A is 48.4 degrees
Step-by-step explanation:
To find the measure of angle A, we are going to use the cosine rule
We have this as;
a^2 = b^2 + c^2 - 2bc Cos A
a^2 = 11^2 + 13^2 -2(11)(13) cos A
100 = 121 + 169- 286cos A
286 cos A = 290-100
286 cos A = 190
cos A = 190/286
cos A = 0.6643
A = arc cos 0.6643
A = 48.4 degrees
Can someone help me please
Answers
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
whats the answer to 876 + 17.2638
Answers
893.2638
is this what you mean?
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answers
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
write answer in equation y=mx+b
Answers
Answer:
y = 50x + 150
Step-by-step explanation:
The y-intercept is 150. b = 150
The slope is found using two points such as (2014, 450) and (2010, 250)
m = (450 - 250)/(2014 - 2010) = 200/4 = 50
y = mx + b
y = 50x + 150
what is the area of this octagon
Answers
Answer:
59cm^2
Step-by-step explanation:
first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2
hope this helps
is 4.083 rational number
Answers
Irrational numbers are number that cannot be written as a fraction
4083/1000
4 (83)/(1000)
36% in its simplest fraction
Answers
Answer:
9/25
Step-by-step explanation:
Please Help ASAP!!! Last question!
Initially, the ratio of Alex's toy cars to Pete's toy cars was 7:3. After Alex gave 20 toy cars to Pete, they each had an equal number of cars. how many toy cars did they have altogether?
Answers
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
HELP!!!!! need the answer
Answers
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
Answers
Box 2