you got an equation or a pic?
One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
Olivia is 9 years old.
Step-by-step explanation:
1/3 of o (Olivia's age) increased by 12, is twice of o minus 3. The equation for this would be 1/3o + 12 = 2o - 3. (The left side could be o/3 as well.)
1/3o + 12 = 2o - 3
Subtract 2o from both sides
-5/3o + 12 = -3
Subtract 12 from both sides
-5/3o = -3 - 12
Subtract 12 from -3 to get -15
-5/3o = -15
Multiply both sides by -3/5, the reciprocal of -5/3
o = -15 (-3/5)
Express -15(-3/5) as a single fraction
o = -15 (-3)/5
Multiply -15 by -3 to get 45
o = 45/5
Divide 45 by 5 to get 9.
o = 9
To make sure this works, substitute 9 for o.
1/3(9) + 12 = 2(9) - 3
3 + 12 = 18 - 3
15 = 15
Both sides match each other, so o equals 9.
Olivia is 9 years old
Let the age of olivia be "x"One-third of Olivia's age is expressed as 1/3xIf it is increased by 12, the expression becomes 1/3 x + 12Twice her age decreased by 3 is expressed as 2x - 3
Equate both expressions and find x
1/3x + 12 = 2x - 3
1/3x - 2x = -3-12
(x-6x)/3 = -15
-5x = -45
x = 9
Hence Olivia is 9 years old
Learn more on equations here; https://brainly.com/question/2972832
newibfib
bewbhbhdcwebcwbch
Step-by-step explanation:
Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?
On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.
Answer:
26
Step-by-step explanation:
correct answers:87
so do 87x4=348
46*7=322
do this because he got some incorrect
348-322=26
so her score is 26
The feet of a poem can easily be compared to _______.
a heartbeat
footsteps
a musical beat
a drum beat
Answer:
its a heartbeat.
Step-by-step explanation:
sorry for late answer, just answering for any future people.
PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer
Given: Sorry the images are at the bottom.
To find:
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Solution:
On inspection of values of x and f(x) it is clear that f(x) is a linear function
i.e.
1)Slope of f(x) and y-intercept of f(x):
Convert the function in slope intercept form and calculate the slope.
Slope intercept form:
Here,
Slope of f(x)=1,
y-intercept of f(x)=(0,0)
2) Slope and y-intercept of g(x):
Slope of g(x)=7
Y-INTERCEPT of g(x) =(0,2)
Part A:
Slope of f(x) is 1 and slope of g(x) is 7.
Part B:
g(x) has a greater y-intercept.
Hope it helps you.
A ball is dropped from a height of 9 meters. On each bounce, it rises to 35% of its previous height.
When it hits the ground for the sixth time, how far has it traveled?
Round your answer to the nearest hundredth.
A bottle contains 24oz of liquid medication.If the average dose is 2/3oz. How many dose does the bottle contain
Answer:
36
Step-by-step explanation:
keep, flip, change...
24 ÷ [tex]\frac{2}{3}[/tex] would be the same as [tex]\frac{24}{1}[/tex] × [tex]\frac{3}{2}[/tex] which is equal to [tex]\frac{72}{2}[/tex] (36 if you simplify it)
The number of dose of 2/3oz of liquid medication does the bottle contain is 36.
What is the fraction number?Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
A bottle contains 24oz of liquid medication and the average dose is 2/3oz.
Let suppose the number of dose does the bottle contain is n. There is total 24oz of liquid medication in the bottol.
As the average dose is 2/3oz. Thus the number of dose in the bottle which has 24oz of liquid medication is,
[tex]n=24\div\dfrac{2}{3}\\n=24\times\dfrac{3}{2}\\n=36[/tex]
Thus, the number of dose of 2/3oz of liquid medication does the bottle contain is 36.
Learn more about the fraction number here:
https://brainly.com/question/78672
Please help! Question posted above ^
Answer:
( x^2 - 6 )^2
Step-by-step explanation:
x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)*solution* ( x^2 - 6 )^2
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].
What is the answer to: −12x−16≥32
Answer:
hello there mate
Step-by-step explanation:
Answer:
x≤−4
Step-by-step explanation:
if you want me to explain how I got the answer reply yes
-) Write 32 + 24 as a product of two factors using the GCF
and the distributive property.
32 + 24
?
+
?
Answer:
8 (4+3)
Step-by-step explanation:
32 + 24 as a product of two factors using the GCF is 8(4 + 3).
Greatest common factor (GCF)?The greatest common factor (GCF) of two number is the largest number which can divide both the numbers completely.
Given,
The expression is 32 + 24 .
The greatest common factor of 24 and 32 can be found using the following method.
Common factors of 24 and 32 are:
2, 4, and 8
Out of all the common factors 8 is the largest number.
Therefore greatest common factor of 24 and 32 is equal to 8.
Taking the GCF out we get:
8(3 + 4)
Hence, 32 + 24 as a product of two factors using the GCF is 8(4 + 3).
To learn more about GCF visit:
https://brainly.com/question/11444998
#SPJ1
What do we put in the first boxes
Answer:
What BOXES?
Step-by-step explanation:
what fraction is equivalent to -3/2
Answer:
-1 1/2
Step-by-step explanation:
60
70
50
Find angle x
Answer:
Where is the pictureeeeeeee
Answer:
picture??
Step-by-step explanation:
Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.
Answer:
With river 12 miles per hour
Against river 9 miles per hour
wv = water velocity vsw = boat velocity in still water
vsw +wv = 12 mph
vsw -wv = 9 mph
2 * vsw = 21 mph
boat velocity in still water = 10.5
Since vsw + wv = 12 then
water velocity = 1.5 mph
Step-by-step explanation:
Answer:
speed in still water: 10.5 Current: 1.5
Step-by-step explanation:
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
Answer:
only one solution
Step-by-step explanation:
Complete question:
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Given the expression
2x − y = 2 .... 1
3x + y = −6 ..... 2
We are to determine the number of solution the equation has:
Add equation 1 and 2
2x + 3x = 2 - 6
5x = -4
x = -4/5
Substitute x = -4/5 into 1
From 1: 2x − y = 2 .... 1
2(-4/5) - y = 2
-8/5 - y = -2
-y = -2+8/5
-y = -10+8/5
-y = -2/5
y = 2/5
Since the value of x and y are just 1 hence the system of equations has ine solution
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
The admission tickets to an exhibition at $5 for an adult and $2 for a child. A family of 3 adults and 4 children visited the exhibition. What would be the charge if $50 note was used to buy the tickets?
Given :
The admission tickets to an exhibition at $5 for an adult and $2 for a child.
A family of 3 adults and 4 children visited the exhibition.
To Find :
What would be the charge if $50 note was used to buy the tickets.
Solution :
Charge of 3 adult ticket is, A = $( 5 × 3 ) = $15 .
Charge of 4 children ticket is, C = $( 4 × 2 ) = $8 .
Total amount to pay is :
T = $( 15 + 8 )
T = $23
Therefore, they get $( 50 - 23 ) = $27 change.
4x−5 for x=10
Please, I really need the answer.
Answer:
4(10)-5=35
Step-by-step explanation:
4(10)=40-5=35
4(10) is the same as 4x10
So think about it like 4x10-5
I hope this helps ;}
what is the domain of the function y= cube root x-1
Answer:
A on edge
Step-by-step explanation:
just took the test
Need help with this one.
Answer:
7.82
Step-by-step explanation:
I need help with this problem, I’d appreciate it if someone helped.
Answer:
answer A looks good
Step-by-step explanation:
List three different combinations of coins, each with a value of 30% of a dollar.
Answer:
1. 3 dimes
2. 1 quarter and a nickel
3. 30 pennies
Step-by-step explanation:
i hope this is it and i hope this helped <3
Answer:
3 nickels, 1 quarter and 5 pennies, and 30 pennies
Step-by-step explanation:
30% of a dollar is 30 cents. those all equal 30 cents
Please helllp meeee !!!
Answer:
B
Step-by-step explanation:
8/5=1.6
Answer:
b
Step-by-step explanation:
8/5=1.6
you play tennis against a player that you have a 20% chance of winning. what is the probability g
Question:
You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?
Answer:
[tex]Probability = 0.262144[/tex]
Step-by-step explanation:
Represent the probability of winning with P(Win)
[tex]P(Win) = 20\%[/tex]
Required
Determine the probability of not winning 6 games
First, we calculate the probability of not winning a game.
Opposite probability add up to 1.
So, we have:
[tex]P(Win) + P(Lose) = 1[/tex]
[tex]P(Lose) = 1 - P(Win)[/tex]
[tex]P(Lose) = 1 - 20\%[/tex]
[tex]P(Lose) = 100\% - 20\%[/tex]
[tex]P(Lose) = 80\%[/tex]
The sample space of losing 6 games is:
Lose Lose Lose Lose Lose Lose
Therefore, the probability is:
[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]
[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]
[tex]Probability = 0.262144[/tex]
Your bill at pizza hut is $30. You leave 20% tip. Whats is the amount of tip?
You gave $30.
[$30 * 0.20] (tip % amount) = $6.
You left $6 in tips.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Answer: ABC is 60
BAC is 50
ACB is 70
Step-by-step explanation: welcome
At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?
Answer:
See below
Step-by-step explanation:
Start time = 9 A.M.
JessicaStart point- 40 milesSpeed - 30 mphEquation:
y = 40 + 30xKateStart point- 10 milesSpeed - 40 mphEquation:
y = 10 + 40xNote. There is no graph but see the attached. It should be similar graph for this case
The will meet after 3 hours at 130 miles mark
Solving the system of equations we get:
40+30x = 10 + 40x10x = 30x = 3And y is:
y = 40+3*30 = 130(3, 130) is the intersection of lines
Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.
Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.
Answer:
if u divide it then slop it u will get your answer
Step-by-step explanation:
a. tan2 -sin= sin2 tane
Step-by-step explanation:
tan²θ - sin²θ
= sin²θ/cos²θ - sin²θ
= sin²θ * (1/cos²θ - 1)
= sin²θ * (csc²θ - 1)
= sin²θ * tan²θ. (shown)