Answer:
A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.
Let us see some example problems based on the above concept.
Example 1 :
Which value of x is the solution of the equation
(2/3) x + (1/2) = (5/6) ?
Solution :
(2/3) x + (1/2) = (5/6)
(2x/3) + (1/2) = (5/6)
(4x + 3)/6 = (5/6)
Multiply 6 on both sides
4x + 3 = 5
Subtract 3 on both sides
4x + 3 - 3 = 5 - 3
4x = 2
Divide by 4 on both sides
4x/4 = 2/4
x = 1/2
Hence the value 1/2 will satisfy the above equation.
Example 2 :
Which value of x is the solution of the equation
(2/3) x + (x/6) = 5 ?
Solution :
(2x/3) + (x/6) = 5
(4x/6) + (x/6) = 5
(4x + x)/6 = 5
5x/6 = 5
Multiply by 6 on both sides
5x = 5 (6)
5x = 30
Divide by 5 on both sides
x = 30/5 = 6
Hence the value 6 will satisfy the above equation.
Example 3 :
The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?
Solution :
From the above question, we come to know that we have to solve for x, that makes the statement true.
(2x/3) − 5 = x/4
(2x - 15)/3 = x/4
Multiply 3 on both sides
2x - 15 = 3x/4
Multiply by 4 on both sides
4(2x - 15) = 3x
8x - 60 = 3x
Subtract 3x on both sides
8x - 3x - 60 = 0
5x - 60 = 0
Add by 60 on both sides
5x - 60 + 60 = 0 + 60
5x = 60
Divide by 5 on both sides
x = 60/5
x = 12
Example 4 :
What is the value of x in the equation
(x − 2)/3 + 1/6 = 5/6 ?
Solution :
(x − 2)/3 + 1/6 = 5/6
(2(x - 2) + 1)/6 = 5/6
multiply by 6 on both sides
(2x - 4 + 1) = 5
2x - 3 = 5
Add 3 on both sides
2x - 3 + 3 = 5 + 3
2x = 8
Divide by 2 on both sides
x = 8/2
x = 4
Step-by-step explanation:
Select whether the function is discrete or continuous.
Function: The number of footballs manufactured per day.
Answer:
Continuous
Step-by-step explanation:
Help please!! I’m timed on this. No it’s not for a grade.
Answer:
D
Step-by-step explanation:
which inequality sign makes the statement true ?
Determine if the situation is linear or exponential and choose the correct equation to represent the situation. "A movie club's customers must pay $5 for a membership, plus $1.5 for each time they rent a movie” "
Answer:
maybe Exponetial??? sorry
Зу=8-4x I need help on this. Some please help me.
Answer:
gradient = -4/3
Step-by-step explanation:
information not complete, but this is the equation of a straight line, and assume you want to know the gradient
3y = 8 - 4x
3y = -4x + 8
dividing both sides by 3
y = -4/3x + 8/3
comparing the equation to equation of a straight line;
y = mx + c
m = -4/3
what are the solutions to (x+7)2 =81
Answer:
x = 33.5Step-by-step explanation:
Simplifying
(x + 7) * 2 = 81
Reorder the terms:
(7 + x) * 2 = 81
Reorder the terms for easier multiplication:
2(7 + x) = 81
(7 * 2 + x * 2) = 81
(14 + 2x) = 81
Solving
14 + 2x = 81
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + 2x = 81 + -14
Combine like terms: 14 + -14 = 0
0 + 2x = 81 + -14
2x = 81 + -14
Combine like terms: 81 + -14 = 67
2x = 67
Divide each side by '2'.
x = 33.5
Simplifying
x = 33.5
Answer:
x=16,−2
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!
The system of equations shown is solved using the linear combination method
StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
i believe the answer is a. There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation:
Answer:
There are infinitely many solutions to the system because the equations represent the same line.
Step-by-step explanation:
could yall help me with this i got by december 3rd to get it done :|
Step-by-step explanation:
im not quite sure
but I believe it is 97
So how do you do this equation? I’m trying to study for my exam but don’t know how to do this please help
Answer:
D. 13
Step-by-step explanation:
Replace all variables of x, with the given value! Hope this helps!
3) GRIP is a rectangle with: PS = 6x - 4
GI = 10x +4
m <1 = 2y +7 and
m3 = 6y +3.
Find:
a.) PR =
b.) m < 2 =
c.) m
Help please!
Answer:PR = 64; m∠2 = 63°; m∠RSI = 54°
because GRIP is a rectangle
=>PR = GI = 2PS
<=> 10x + 4 = 2.(6x - 4)
<=> 10x + 4 = 12x - 8
<=> 2x = 12
<=> x = 6
because PR = GI => PR = 10x + 4 = 10.6 + 4 = 64
GRIP is a rectangle => PS = SI
=> ΔPSI is a isosceles triangle
=> m∠1 = m∠2
but m∠2 + m∠3 = 90°
=> m∠1 + m∠3 = 90°
<=> 2y + 7 + 6y + 3 = 90
<=> 8y + 10 = 90
<=> 8y = 80
<=> y = 10
with y = 10 => m∠2 = 2.10 + 7 = 27
we also have: RS = SI
=> ΔRSI is a isosceles triangle
=> m∠3 = m∠4 = 90° - 27° = 63°
=> m∠RSI = 180° - 63°.2 = 54°
Step-by-step explanation:
MARK AS BRAINLIST PLZ NEED IT NOW
Patty’s gymnastics class is 5/6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem
EXPLAIN !
Answer:
5/6 of an hour is 50 minutes.
Step-by-step explanation:
There are 60 minutes in 1 hour
5/6 = 50/60
If it is the same amount of time for all the skills, it would be 50 minutes in each skill.
Hope this helps. <3
The time Patty spent on each equipment of the gymnastics class is given by A = 1/6 of an hour on each skill
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To find out how much time Patty spent on each skill, we can divide the total duration of Patty's gymnastics class by the number of skills she practices.
Given that Patty's gymnastics class is 5/6 of an hour long, we can represent the duration of the class as 5/6 hours.
Let's denote the time Patty spent on each skill as "x" hours.
Total time = 5x
The total duration of Patty's gymnastics class is 5/6 hours.
On simplifying the equation , we get
5x = 5/6
Divide by 5 on both sides , we get
5x/5 = (5/6)/5
x = 1/6
Hence , Patty spent 1/6 hours on each skill, or in other words, 1/6 of an hour on each skill
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
This is not math but plssss answer here are some points
Answer: =D
Step-by-step explanation:
Answer: The 6 gram marble
Step-by-step explanation: The more bigger the object and the faster it moves, the more kinetic energy will be recieved making molecules move faster and faster I hope this helps :D
Write an expression for the perimeter of the triangle shown below:
Answer:
1.
Step-by-step explanation:3+3.4+0.5=6.9
6.9x-16 because -26-9=-16 6.9x-16 is the expression. good luck with this equivilant expressions quiz!
A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Calculus and 30% take both If a señor is randomly selected, what the probability that they are in AP Statistics or AP Calculus but not both
Answer:
0.8
Step-by-step explanation:
P(AP statistics) = 65%
P(AP Calculus) = 45%
P(AP statistics n AP Calculus) = 30%
Probability of AP statistics or AP Calculus but not both :
Probability of event A or B :
P(AUB) = p(A) + p(B) - p(AnB)
P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)
= 0.65 + 0.45 - 0.30
= 0.8
= 80%
The probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A large high school offers AP Statistics and AP Calculus. Among the seniors in this school,
65% take AP Statistics, 45% take AP Calculus,30% take both.Probabily of hapnning event A or event B, but not both can be given as,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
In the problem, we have,
[tex]P(A)=0.65\\P(B)=0.45\\P(A\cap B)=0.30[/tex]
Put the values in the above formula as,
[tex]P(A\cup B)=0.65+0.45-0.30\\P(A\cup B)=0.80\\P(A\cup B)=80\%[/tex]
Thus, the probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.
Learn more about the probability here;
https://brainly.com/question/24756209
What does a equal???
Answer:
a=43
Step-by-step explanation:
triangle equals 180.
180-47-90=43
Answer:43
Explanation
PQ=QR
QPR=QRP=47 (angles opposite to equal sides are equal)
PQR= 180-(47+47) = 86
a= 86/2 = 43
Is this true of false?
A circle has a circumference of 1{,}017.361,017.361, comma, 017, point, 36 units. What is the radius of the circle?
Answer:
[tex]r\approx 162~units[/tex]
Step-by-step explanation:
The Circumference of a Circle
The circumference is the arc length of the circle.
A circle with radius r has a circumference calculated by:
[tex]C=2\pi\cdot r[/tex]
If we are given the circumference, the radius can be calculated by solving the equation for r:
[tex]\displaystyle r=\frac{C}{2\pi}[/tex]
The circumference of the circle is 1,017.36 units. Calculating the radius:
[tex]\displaystyle r=\frac{1,017.36}{2\pi}[/tex]
[tex]\mathbf{r\approx 162~units}[/tex]
Meredith was paid $18 for recycling 30 pounds glass. What is this rate payment
$1.67 for each pound of glass
plz help me
Choose all the correct answers that bring the left hand flag (L) to the right hand flag (R).
Answer:
Rotate Figure L 135 degrees counterclockwise around the point of intersection of the arms. Reflect across the right arm
Step-by-step explanation:
I need help because I suck at this
Help me with my math please!!!!!!!
Find the Y-intercept of f(x)= 2x2 -2x +1
Answer: its nothing their isn't a value
Step-by-step explanation: to find the y intercept substitute in 0 and solve for y
SOMEONE JUST GIVE ME THE ANSWER
Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)
Step-by-step explanation:
Answer:
Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.
Step-by-step explanation:
what is the perpendicular slope intercept form? pls help
Find the slope represented in the table below.
х
у
7
-30
-54
13
-66
20
- 108
Answer: -6
(-54)-(-30)=-24
11-7=4
-24/4=-6
I hope this is good enough:
what is 12-(16)= lollolll
Answer:
-4
Step-by-step explanation:
12-16 is -4
have a GREat day
Tony worked hours on his science project. Sonia worked times as long on her science project as Tony did. For how many hours did Sonia work on her science project?
Complete question :
Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?
Answer:
5 5/6 hours
Step-by-step explanation:
Given that :
Hours worked by Tony = 4 2/3
Hours worked by Sonia = 1 1/4 times as long as Tony
Hence, hours worked by Sonia = 1 1/4 * 4 2/3
5/4 * 14/3
= 70 / 12
= 5 10/12
= 5 5/6 hours
What is the term for the emotions that a word stirs in a reader?
a
CONNOTATION
b
DENNOTATION
c
SYNONYM
d
ACRONYM
Answer:
Connotation
Step-by-step explanation:
There are 3 connotations i know of. I'm not sure if there's more but
-Positive (+)
-Negative (-)
- Neutral
Based on what words the writer choosing it gives out one of those connotations. Hope this helps!
Joan is 4 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Joan's height in centimeters? *(HINT: CHANGE HIS HEIGHT TO INCHES - HOW MANY INCHES ARE IN A FOOT? HOW MANY INCHES ARE IN 4 FEET? THEN ADD 2 INCHES) *
Answer:Joan's height is 127 centimetres
Step-by-step explanation:
Step 1
Joan is 4 feet 2 inches tall and we want to change to centimeters .
we first change her height to inches
1 Foot = 12 Inches
Therefore 4 Feet = 4 x 12 = 48 inches
Total height in inches =48 inches + 2 Inches = 50 inches
Step 2 --Now, we have gotten her height in inches, we can now change to centimetres.
We have that
1 inch =2.54 centimeters
50inches = 50 x 2.54 cm
=127 centmeters.
Joan's height is 127 centimetres
Molly’s dad measures her height to be 62 3/8 inches. Six months later, he measures her height again. He says she has grown 1 3/4 inches. How tall is Molly? 63 1/8 inches
