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
the difference of 16 and 2 divide by 7
make the equation
Answers
Answer:
(16-2)/7
Step-by-step explanation:
16-2=14
14/7=2
Equation: (16-2)/7
The difference of 16 and 2 divide by 7 gives result 2 and required equation is x = (16 - 2) / 7.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given numbers are 16, 2 and 7.
Let the difference of 16 and 2 divide by 7 gives result x,
The equation for the difference of 16 and 2 which is 14, divide by 7.
x = (16 - 2) / 7
The equation x = (16 - 2) / 7 can be simplified as,
The difference between 16 and 2 = 16 - 2 = 14
x = 14 / 7 = 2.
The required equation is x = (16 - 2) / 7 and simplified answer is 2.
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Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answers
B has the mode of 7
Answer:
its a.
Step-by-step explanation:
Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?
Answers
Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- [tex]x^2-2x+y^2-4y-4=0[/tex]
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
[tex]x^2-2x+y^2-4y-4=0[/tex]
[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]
[tex](x-1)^2+(y-2)^2 = 3^2[/tex]
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
For more information, refer to the link given below:
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pleaseeeeeeeee help me
Answers
Answer:
2⁴ = 16
Step-by-step explanation:
plz helppppppppppopppppp
Answers
Measure of 6 is 143 and 7 is 37
Step by step explanation:
What is the ratio of 1/2 to 6?
(A) 12
(B) 3
(C)1/3
(D)1/6
(E) 1/12
Answers
Answer:
e, 1/12
Step-by-step explanation:
1) turn the first fraction into a whole number, the closest whole number being 1.
what did you multiply 1/2 by to get 1? the answer would be 2.
whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.
therefore, the answer is 1/12
How many meters are equal to 18 kilometers?
Answers
Answer:
18000
Step-by-step explanation:
The number of meters in 18 kilometers is 18,000 meters(m)
How to convert meters to kilometers1900 meter(m) = 1 kilometer(km)x meters = 18 kilometers
x meters = 18 kilometers × 1000
x = 18,000 meters
Therefore, 18 kilometers is equivalent to 18,000 meters
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Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?
A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
Answers
The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = -3x²
Mathematically, these equations can be represented as
g(x) = -3f(x)
The above equations implies that, we have the transformation to be:
The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axisHence, the transformed function is (d)
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28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?
Answers
Answer:
not
Step-by-step explanation:
because negetive plus negative will equal negative and bot positive
if this is multiplication yes it does apply...-1×-1=1
Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?
Answers
Answer:
14
Step-by-step explanation:
14+28=42, 28/14=2
Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).
Answers
Answer:
0.14479638
Step-by-step explanation:
Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,
Combination of drawing 1 ace of 4 total aces C(4,1)
Combination of drawing 1 non-ace of 48 total non aces C(48,1)
Combination of drawing 2 cards of total 52 cards C(52.2)
C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326
4*48/1326 = 0.14479638
Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)
Answers
Answer:
-36/5
- . 2/5-=+2/5
-36/5+2/5
34/5 or 6 4/5
Please help me! No links, cheaters, or rude comments please!
Answers
Answer:
hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose
Step-by-step explanation:
Answer:
a and d is correct I did the test and got 100 .
PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequality? 3s>12; {4, 5, 6, 7}
{4}
{4, 5, 6}
{4, 5}
{5, 6, 7}
Answers
Answer:
{5,6,7}
Step-by-step explanation:
3s>12
divide by 3 on both sides and you get
s>4
so {5,6,7} is the only one that works since it needs to be greater than 4
sorry if I replied too late, but I hope this helps
Help help help math math
Answers
Answer:
Yes, it is a function
Step-by-step explanation:
A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function
evaluate the following expression . 2*[4+(12+16)/7
Answers
Answer:
16
Step-by-step explanation:
[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]
if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?
Answers
Answer:
24 bags = 21 kg
1.142 bag = 1 kg
About 139 bags = 122 kg
You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.
Your final answer: 139 bags
I hope this helped!
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answers
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
PLEASE HELP!!
I got about half way through the problem but I ddont know hiw to solve the rest :\
solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]
Answers
Answer:
The answer is x = 1
Hope this helps! :)
(sqrt) x + 3 = x + 1
x + 3 = x^2 + 2x + 1
x + 3 - x^2 - 2x - 1 = 0
-x + 2 - x^2 = 0
x^2 + x - 2 = 0
(x - 1) (x + 2) = 0
x = 1, -2
^^no negatives/canceled
x = 1
You welcome
4,6,9,...
Find the 8th term.
Find the 8th term.
Answers
Answer:
4, 6, 9, 12, 15, 18, 21, 24.
Step-by-step explanation:
The 8th term is 24.
just +2 (add 2) every time.
the sum of three consecutive even numbers is 42. what is the smallest of these numbers
Answers
[tex]\qquad[/tex]____________________
It’s given–
The sum of three consecutive even numbers is 42.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)
The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.[tex]\qquad[/tex]____________________
Given :
Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.[tex] \: [/tex]
Solution :
Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .
So,
According to the Question :
x + (x + 2) + (x + 4) = 42
⇢x + x + 2 + x + 4 = 42
⇢ x + x + x + 2 + 4 = 42
⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12
Hence, 12 is the smallest consecutive even number.
What is 7823× 10 to the 3 power?
Answers
Answer:
7823000
Step-by-step explanation:
Answer:
0 is the answer
7893 x 10 equal to 789300
Graph
-2(3x+4)(x-1)(x-3)^2
Answers
Answer:
Step-by-step explanation:
Help help help help help help help math
Answers
Answer:
Angle 6
Step-by-step explanation:
They are both the same angle size
Answer:
Angle 1
Step-by-step explanation:
Refer to the attached picture
patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?
Answers
Answer:
30
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answers
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER
Answers
Answer:
Step-by-step explanation:
The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.
HOPE THAT HELP YOU
Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.
Answers
500 is your total, 2.75 represents the price of a singular box, and c is how many boxes sold.
Hope this helps!
Answer:
500=2.75c
Step-by-step explanation:
500= 2.75c
Isolate c by dividing 2.75 on each side
500/2.75 =181.818181818 which is about 181.8
So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answers
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
a store have a 12.7% discount on $2002 furniture. what is the new price
Answers
Answer:
$1,747.75
Step-by-step explanation:
(12.7% = 0.127)
$2,002 x 0.127 = 254.25
$2,002 - 254.25 = $1,747.75