Answers
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
Related Questions
Please Help I am giving many points!
Answers
Answer:
D
Step-by-step explanation:
n = 5
an = 176
an = a1*x^(n -1)
a5 = a1 * x^4 = 176
a7 = a1 * x^6 = 704
a7/a6 = a1 * x^6 / a1*x^4 = 704 / 176
Cancel out a1
x^6/x^4 = 704/176 Divide numerator and denominator by 176
x^2 = 4 Take the square root of both sides
x = 2 or - 2
176 = a1 * x^4
176 = a1 * 16
a1 = 11
a1 is going to be 11 whether x is 2 or minus 2.
hi mallllll. hehehe
once again its [tex]a_{1} = -11[/tex]
3 divided by 4 1/2 write in simplest form
Answers
[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]
Answer:
[tex] \frac{2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)
Answers
Answer:
Step-by-step explanation:
P = (-4, 3)
Reflecting across the y axis negates the x value
P₁ = (4, 3)
Reflecting across the x axis negates the y value
P' = (4, -3)
option D
(8,4) and has a slope of 5/2
Answers
Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answers
Answer:
12/q acorns/squirrel
a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?
Answers
Answer:
hola saludos desde kansas city
pls help... I need to write some words to post this
Answers
Answer:
k=100, n=3, 1.5625, 10
Step-by-step explanation:
To find n and k, we can plug x and z in.
First we can try this for (1,100). We will get:
[tex]100=\frac{k}{1^{n} }[/tex]
Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.
Armed with k=100, we can plug numbers into the second equation.
[tex]12.5=\frac{100}{2^{n} }[/tex]
Moving [tex]{2^{n} }[/tex] to the left side, we get:
[tex]2^n=\frac{100}{12.5} }=8[/tex]
therefore we can solve and we see that n=3.
We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z
[tex]z=\frac{100}{4^{3}} =1.5625[/tex]
We will do the same as previous but instead plug in x
[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]
We isolate [tex]x^{3}[/tex] and get
[tex]x^{3} =1000[/tex]
Therefore x=10
Does 28/4 have a remainder
Answers
Remainder=0
Quotient=7
Thanks!!
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 15 feet. Container B has a diameter of 16 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Answers
Answer:
5.2%
Step-by-step explanation:
Volume of cylinder= πr²h
In Container A,
D= 18ft, r=18/2=9ft, h=15ft
volume= 22/7 × 9² × 15
= 26730/7 cubic ft.
In Container B,
D=16ft, r= 16/2=8ft, h=18ft
volume= 22/7 × 8² × 18
= 25344/7 cubic ft.
percent of amount of water left in Container A= percent of container A that is full after pumping
Amount of water left in Container A,
26730/7 - 25344/7 = 1386/7
Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100
(1386×7×100)/(7×26730)= 5.185
To the nearest tenth= 5.2%
15 1/2 as an integer
Answers
Create your own example for each cases of multiplying
polynomials
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
Answers
Step-by-step explanation:
CASE 1:2x(3x+7) = 6x^2+14x.CASE 2:(2x + 3)(3x – 1)CASE 3:x2 + 4xThe area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?
Answers
Answer:
7 inches
Step-by-step explanation:
756÷108=7
that's about it, but I just divided the area and length.
I WILL GIVE BRAINLEST HURRY PLEASE ITS DUE RIGHT NOW HURRY PLEASE plssss help me if your good at finding area in shapes plsss
Answers
can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!
Answers
Answer:
give heaven some hell by Hardy
Step-by-step explanation:
help me please guys im being times and trying to get this done fast!
Answers
Answer:
C.
Step-by-step explanation:
You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.
which expression represents 100 less than 3 times the sum of 18 and 2
Answers
Answer: 3 times (18+ 2) - 100
3 (18+2) - 100 = -40
Step-by-step explanation:
13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)
Answers
Answer:
I believe the answer would be A. $200.00
Step-by-step explanation:
This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.
And the current price is 4,200$ for each car.
If you add 200$ to each 4,200$ car, you get 4,400$
After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.
You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.
52,800-42,000=10,800
therefore, A.$200.00 would be the correct answer
I'm not sure if all calculations are correct, but I hope this helps! :)
The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.
To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.
Given:
Number of cars (n) = 12
Price Jay paid for each car (P) = $3,500
Current worth of each car (W) = $4,200
Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000
Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400
Difference in value = C - T = $50,400 - $42,000 = $8,400
Additional increase needed = $10,800 - $8,400 = $2,400
To find the average increase needed per car, we divide the additional increase by the number of cars:
Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200
Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.
The correct answer is A. $200.00.
To know more about average value, refer here:
https://brainly.com/question/32515383
#SPJ2
[tex]6 \times 2[/tex]
please I need ur help
Answers
Answer:
12
Step-by-step explanation:
You do 6+6, or 2+2+2+2+2+2=12
Just add 6, 2 times so 6, 12
Or add 2, 6 times so 2,4,6,8,10,12
Find an equation for the line below
Answers
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl
Answers
708 ml
When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.
three hundred two times one hundred fifty three
302×153
Answers
Answer:
46,206
Step-by-step explanation:
simple math
Answer:
the answer is 46,206
Step-by-step explanation:
Good luck!!!!
-7(-2 ( 3x+1)+ 4) +9
Answers
Answer:
correct answer is explained in the picture attached
1. According to the fundamental theorem of algebra, how many zeros does the function [tex]f(x) = 3x^6 - 7x^5 - 53x^3 - 43x - 34[/tex] have?
2. What are the zeros of [tex]f(x) = 6x^3 + 25x^2 - 24x + 5[/tex]
Answers
Answer:
See below for answers
Step-by-step explanation:
1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.
2) Reduce the polynomial and use the Zero Product Property:
[tex]0=6x^3+25x^2-24x+5[/tex]
[tex]0=(6x^2-5x+1)(x+5)[/tex]
[tex]0=(3x-1)(2x-1)(x+5)[/tex]
[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answers
Answer:
yeah that makes sense to me
Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST
Answers
7 (2x +5 -3y)
a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 120° for 4.0km. find how far and in what direction the plane is from the starting point?
Answers
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:
[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)
We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:
[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)
If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:
[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]
[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]
The magnitude of the resultant is found by Pythagorean theorem:
[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]
And the bearing is determined by the following inverse trigonometric relationship:
[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)
If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:
[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]
[tex]\|\vec R\| \approx 10.536\,km[/tex]
[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]
[tex]\theta_{R} \approx 34.715^{\circ}[/tex]
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479
What is 5/8 divided by 1/4
Answers
Answer:
the answer should be 2.5
Step-by-step explanation:
when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5
Launch Problem
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
5. How many miles did Melanie run altogether last week?
Answers
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5
For each equation find a value for x that makes the equation true 10=3x-6
Answers
Answer:
5.3333
or 5 and 1/3
Step-by-step explanation:
10 = 3x - 6
add six
16 = 3x
divide by 3
5.3333 = x
I hope this helps!!
Jaime is three years younger than his brother Keegan. In five years, the sum of their ages will be thirty-nine.
How old are they now?
Answers
Answer:
Keegan is 16 and Jamie is 13.
Step by Step Explanation:
So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.
Math:
39÷2 = 19.5
19.5 19.5
-3
___________
16.5 19.5
+1.5 +1.5
___________
18 21
-5 -5
13 16