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
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Answers
Step-by-step explanation:
what is the problem ?
as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.
g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...
g(0) = 3 - 1/3 × 0 = 3
g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...
Answer:
g(-1) = 3/2
g(0) = 3
g(4) = 1
Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared
Answers
Answer:
160 ft²
Step-by-step explanation:
The width is 40% of the length, so is ...
0.40 × 20 ft = 8 ft
The area is the product of length and width:
A = LW
A = (20 ft)(8 ft) = 160 ft²
Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?
? x 15 =?
Answers
Answer:
3225 grams
Step-by-step explanation:
215 x 15
A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts. Over the
entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the
system of equations that models this scenario is:
p+n=131
P+3.26n = 248.52
ANSWER CHOICES:
(Please help it would mean everything to me. I’d give brainliest <3)
Answers
Answer:
D
Step-by-step explanation:
You can infer to the solution of this problem by looking at the choices. Hope this helped :)
Logan has an automatic hummingbird feeder in his backyard. He fills it to its capacity, 10 fluid ounces. Each day, it releases 1 fluid ounce of nectar.
Write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since Logan filled it, x.
Answers
Answer:
-1x+10
Step-by-step explanation:
The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:
y = 10 - x.
The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.
Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.
As each day passes, 1 fluid ounce of nectar is released.
Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is: y = 10 - x.
Here's an explanation of each component of the equation:
y: This represents the number of fluid ounces of nectar remaining.
As the days pass, this value will decrease as nectar is released.
10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.
x: This represents the number of days that have passed since Logan filled the feeder.
Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."
This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ3
Gary wants to buy a video game with a selling price of $48 on sale for 50% off. The sales tax in his state is 4.5%.
Answers
Answer:
$25.08
Step-by-step explanation:
$48 to which you apply the 50%
48/2= $24
then you add the sales tax:
24+4.5%= 25.08
What is 18x4=9xn? Just tell me the answer.
Answers
Answer:
Step-by-step explanation:
x=0
Answer:
8
Step-by-step explanation:
18×4 = 72
And 72 ÷ 9 = 8
So 9×8 would be 72
Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.
Answers
Answer:
Step-by-step explanation:
A = ½(b₁ + b₂)h
b₂ = 2A/h - b₁
b₂ = 2(58)/4 - 12
b₂ = 17 ft
100 divided by 16.4 as a fraction
Answers
Answer:
25/4.1 or 6 and 2/5
Step-by-step explanation:
I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1
Because this is an improper fraction, I simplify it to: 6 and 2/5
10+8x > 2 Solve each inequality
Answers
Answer:
x>-1
Step-by-step explanation:
8x>2-10
8x>-8
x>-1
Answer:
x>-1
interval notation: (-1,infinty)
HELP PLEASE 20 POINTS
Answers
Answer:
a b and j?
Step-by-step explanation:
why you always angry why you always quiet why do you sleep alone when I know you don't like it maybe you might be different will it kill you to tell me the truth what in the hell does a man have to do to be loved by you
Answers
Answer:
Beause you did love to be loved by you
Step-by-step explanation:
Maybe a spoon full of sugar will help but I'm not going to love you because love this pure is hard to find in world so scard from humanity and the hideous presence of me
Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume
Answers
What is the slope of the line?
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
- Atriangle is 3 cm wider than it is tall. The area is 14 cm^2. Find the height and the base.
Answers
Answer:
7 and 4
Step-by-step explanation:
If you set up a rectangle you get an area of 28 cm^2
4x7=28
the base is 7 cm
the height is 4 cm
Find an expression with represents the sum of 5X -8 and 2X +2 in simplest terms
Answers
Step by step solution:
5x-8+2x+2
Then combine like-terms
5x+2x+2-8
7x-6
Hope that helps :)
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answers
Answer:
54mile equal to 81km
8mile equal to 12km
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answers
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 14,941 ÷ 98?
Answers
Answer:
0.152
Step-by-step explanation:
[tex] \frac{1.3}{7.8} \: \frac{3}{18} [/tex]
Is this equivalent?
Answers
Answer:
Yes
Explanation:
1.3/7.8 = 0.167
3/18 = 0.167
An equivalent fraction is a fraction that is the same as another fraction with a different denominator.
I hope it helps.
If the exchange rate is 1.5 U.S. dollars / 1 euro, how many U.S. dollars would be equivalent to 20 euros?
A. $1.50
B. $18.50
C. $30.00
D. $13.30
Answers
The answer is C because 1 times 20 is 20 and .5 times 20 is 10 then you get 30
Answer: C.) $30.00
Step-by-step explanation: If 1.5 U.S. dollars equals 1 euro, then 1*20 would be 20 euros. So then, you could multiply 0.5*20 to get 10. Finally, you add $10 + $20 to get $30 U.S. dollars.
0.5*20= $10
20+10= $30
5. Find cos 0 if sin 0= -12/13
and tan 0 > 0.
Answers
Answer:
-512
Step-by-step explanation:
A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.
Answers
Answer:
f(x) = 4(x -1)^3·(x +2)
Step-by-step explanation:
Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.
f(x) = a(x -1)^3·(x +2)
f(0) = a(-1)^3·2 = -2a = -8 ⇒ a = 4
The factored form of the equation is ...
f(x) = 4(x -1)^3·(x +2)
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answers
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
A sequence is defined recursively as follows: a(1) = 1, and a(n)= a(n-1)+n
(a) How do you interpret this recursive rule?
b) Write down the rule for a(2),a(3), and a(4)
it down in your own words.
and determine their values.
Answers
Answer:
Step-by-step explanation:
a) The current term number is added to the previous term to get the current term.
__
b) Using n = 2, 3, 4 in the given formula, we have ...
a2 = a1 +2 = 1 +2 = 3
a3 = a2 +3 = 3 +3 = 6
a4 = a3 +4 = 6 +4 = 10
The value of the current term is the sum of all positive integers up to the term number, that is, term n is the n-th "triangle number."
The following are water temperatures at various beaches in San Diego:
58° 61° 68° 65° 58°
What is the mode of the data set?
Answers
Answer:
Mode is 58 degrees
Step-by-step explanation:
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form
3/4 divided by 3
Answers
Step-by-step explanation:
3/4 ÷ 3
recall that the inverse of division is multiplication
=3/4 x 1/3
=1/4
Write an equation and solve the sum of twenty one and five
times a number f is 61
Answers
5f = 40
f = 8
0.80x= 28 what is x
please help
Answers
Answer: x is nothing.
Step-by-step explanation: The goal is to get x by itself not with the numbers. You just have to solve the equation and whatever you get is equal to X. Example- your problem is 0.80x= 28 which would equal 172 if you're tryna find the solution. X does not matter in your equation and remember x can be any number! I'm not good at explaining so i'm sorry if you have no idea what i'm talking about. I hope this helps!
Your answer is 172.
-Notsonerdy
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Answers
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
