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
simplify 3 to the 3rd power plus 2 to the 2nd power
Answer:
31
Step-by-step explanation:
Write it out: [tex]3^{3} + 2^{2}[/tex] Simplify: 27 + 427 + 4 = 31I hope this helps!
Answer:
31
Step-by-step explanation:
3³+2²
⇅
27 + 4 = 31
I hope this helps!
14.87
+3.65
ANSWER THE QUESTION
Answer:
18.52
Step-by-step explanation:
14.87+3.65
14.87+3.65= 18.52
There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14
Answer:
14:23
Step-by-step explanation:
14:23
Answer:
its 14-23
Step-by-step explanation:
what is the acceleration of a car that has a mass of 300 kg and 1200N
what is the acceleration of a car that has a mass of 300 kg and 1200N
Answer:
well the acceleration produced will be
[tex]4ms { - }^{2} [/tex]
Step-by-step explanation:
the formula used here is
F = m × a
(where m = mass , a = acceleration and f = force )
so,
=》1200 N = 300 kg × a
=》a = 1200N ÷ 300 kg
=》a = 4 metre per second square
[tex]4ms { - }^{2} [/tex]
illustrates whather the two ratios are equal or not using cross 3/27, 1/9
Answer:
They are equal
Step-by-step explanation:
Given
[tex]\frac{3}{27}\ and\ \frac{1}{9}[/tex]
Required
Determine if they are equal
We start by equating both:
[tex]\frac{3}{27} = \frac{1}{9}[/tex]
Cross Multiply
[tex]3 * 9 = 1 * 27[/tex]
[tex]27 = 27[/tex]
Because both sides of the equation are equal, then the ratios are equal
In a three hour TV broadcast the commercials show 29% of the time. How many minutes of commercials are shown each hour? Round to the nearest tenth of a minute
Answer:
There are 17.4 minutes of commercials are shown each hour.
Step-by-step explanation:
An hour has 60 minutes.
So in 3 hours, there are 3*60 = 180 minutes.
The commercials show 29% of the time.
So we have 0.29*180 = 52.2 minutes, in total, of commercial.
Per hour, we have 52.2/3 = 17.4 minutes of commercial.
Solve the following equation algebraically:
5x2 = 60
a. x~+3.46
b. x~3.46
c. x = 12
d. x =+12
Please select the best answer from the choices provided
Answer:
A. X~+3.46
Step-by-step explanation:
I calculated logically
Helpppppppppppppppppppppp
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Hope this helps :)
Which expression is equivalent to 7(a+2) when a=6
Answer:
42+14 answer is 56
Step-by-step explanation:
Please help solve this. (Answer is not 80)
WHAT IS QUARTER OF 74?
Answer:
18.5
Step-by-step explanation:
I majored on Mathematics
Answer:
18.5
Step-by-step explanation:
74/4=18.5
There are 946 milliliters in a quart. There are 2 pints in a quart.
How many milliliters are in a pint?
Answer:
473
Step-by-step explanation:
I divided 946 and 2 and got 473. I'm not 100 percent this is correct but whatever
The product of 7 and j is 91.
Solve for j
Answer:
j=13
Step-by-step explanation:
The equation for this problem is 7j=91.
I would divide 7 on both sides, which would be j=13.
In the table below which city has the coldest recorded February temperature
Answer:
Anchorage, AK
Step-by-step explanation:
B
8. Dylan has 35 coins in his pocket. All of them are either pennies or quarters, and
they total $4.43. How many of each coin does he have?
Shane made a scale drawing of a house and its lot. The scale he used was 1 inch : 3 feet. In
the drawing, the backyard is 11 inches wide. What is the width of the actual yard?
Answer:
33
Step-by-step explanation:
jackie's is twice the age of lynn the sum of there age is 48 how old is jackie
Answer:
Jackie is 32
Step-by-step explanation:
48 / 3 = 16
16 * 2 = 32
32 years old
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases.
So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles?
How many bottles will be left? Enter your answers in the boxes.
The Bottling Company
Beverage
Bottles per Case
Juice
12
Soda
20
Water
24
Jane can fill
cases and will have
bottles left.
Answer:
a) 265 case
b) 4 bottles
Step-by-step explanation:
The number of bottles remaining = total number of bottles - total number of bottles placed in cases
The number of bottles remaining = 8500 - 2136
The number of bottles remaining = 6364 bottles
From the table, we can see that water is filled at 24 bottles per case. Let x be the number of cases, hence:
24 bottles per case * x case = 6364 bottles
24x = 6364
x = 6364
x = 265.16
Therefore the number of cases filled = 265.
265 cases can contain 6360 bottles
b) number of bottles remaining = 6364 bottles - (24 * 265 case) = 4 bottles
factor 16n^4 -1 completely
Answer:
(4n^2 + 1) (2n+1) (2n-1)
Step-by-step explanation:
use difference of squares
if my answer is correct, pls mark this is brainliest! thanks!
Since both terms are perfect squares, factor using the difference of squares formula,
a² − b² = (a + b) (a − b) where a = 4n² and b=1.
(4n² + 1) (2n + 1) (2n − 1)
Can someone please help me with this
The answer is 22.5 ft.
[tex]8^{2}+21^{2}=x^{2} \\64+441=x^{2} \\505=x^{2} \\x=22.5[/tex]
What is the solution to the linear equation 2/3 x - 1/2 = 1/3 + 5/6x
Answer:
Simplify and solve and get x=-5
Step-by-step explanation:
2/3x - 1/2= 1/3 + 5/6x
2/3x - 5/6x= 1/3 + 1/2
-1/6x= 5/6
x=-5
PLEASE HELP ME
a store sells two kinds of candles, scented and unscented. The scented candles burn 3/10 inch in 1/5 hour. The unscented candles burn 4/6 inch in 1/3 hour. it's due in 10 mins
the unscented candles burn faster at a rate of (1/3) inches/ hour
Step-by-step explanation:
scented candles:
(1/12) / (20/60) = 1/4 inches/ hour
unscented candles:
(1/6) / (30/ 60) = 1/3 inches/ hour
hope it helps!
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
Graph the equation.
y =2x-2
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
The meaning of an inequality depends on the __________________of the inequality sign.
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
5% of batteries produced at a factory are defective. Use the binomial model to find the probability that 1 battery in a pack of 16 is defective.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
P
x
=
n
!
x
!
n
-
x
!
p
x
q
n
-
x
A.
5%
B.
15%
C.
23%
D.
37%
Answer:
Step-by-step explanation:
B 15%
Answer: The correct answer is D) 37%
Step-by-step explanation:
We can use our binomial model equation with all the relevant information to solve this problem simply. We just need to dissect the problem a bit to find relevant information. We know that out of 16 batteries in a pack (the number of trials in this case) we want to find the possibility of 1 of them (the number of successes) to be defective with a defective rate of 5% or 0.05. We simply input the data into our binomial formula given and solve for our answer of 37% I hope this answer has been of use.
Have a wonderful rest of your day :D
Which of the following graphs represent a function? Please help me I will make you brainiest
ILL MARK BRAINLIST pls help
You cut out the question-
Help find the slope of each line
Answer:
1. The slope of the graph is 3/1 or 3
2. The slope of the graph is 3/4
3. The slope of the points is 2
4. The slope of the points is Undefined
5. The slope of the graph is 1
6. The slope of the points is -1/4
Step-by-step explanation:
To find the slope of the graph you use rise over run
To find the slope of the points you use y2-y1 over x2-x1
Hope this is very helpful!!
Answer:
1. -1/3
2. 3/4
3. 2
4. -9/0
5. 1
6. -6/4
Step-by-step explanation:
1. To find this numbers slope you have to go over and up (or down depending on where the line is going) You go over once and down three times to the next dot. This is why it is negative, because you go down
2. Same as number one you go over (Run) and up (Rise) . You go over 3 times and up 4. This makes it positive, since you are going up.
3. Stick to this formula (y2-y1)
(x2-x1)
-4-8
0-6 =-12/-6 =2
4. Same as 3
1-8
5-5 = -9/0
5. Go over 1 and up 1 this will equal 1/1 which is just 1.
6.
-2-4
-6-2 =-6/-8
This can be simplified down to -3/-4
For further explanation, look at the attachments
Hope this helps (:
what is the remainder and quotient of 11/3
Answer:
The remainder of 11 divided by 3 is 2. The quotient is 3.
Step-by-step explanation:
3 goes into 11 three times. 3 x 3 = 9. 11 - 9 = 2. 3 can't go into 2 so bring the two up and you get your answer of 3 r 2.