The ages of Olivia and her brother are 10 years and 11 years respectively
Let x₁, and x₂ be the ages of Olivia and her brother respectively.
Given that Olivia's brother is twice her age minus 9 years.
⇒ x₂ = 2x₁ - 9 → equation 1
Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.
⇒ x₂ = 1/2 × (x₁ + 12) → equation 2
Using equation 1 in equation 2, we get
2x₁ - 9 = 1/2 × (x₁ + 12)
⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)
⇒ 4x₁ - x₁ = 12 + 18
⇒ 3x₁ = 30
⇒ x₁ = 10 (dividing by 3 on both sides)
Using the value of x₁, in equation 1,
⇒ x₂ = 2(10) - 9
⇒ x₂ = 20 - 9
⇒ x₂ = 11
Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.
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The function f is defined by the following rule
f(x)=4x-2
complete the function table
(3x^3)^3 is equivalent to
Answer: (3x^3)^3 = 3^3 (x^3)^3 = 27 (x^3)^3 = 27^3x3 = 27^9
27^9
Answer:
27x^9
Step-by-step explanation:
Distribute.
3^3 (x^3)^3
27 (x^3)^3
Power of a power.
27x^3 times 3
Multiply.
27x^9
Laila needs 6 1/4 feet of chain to complete a project an outdoor project. She has two small pieces measuring 1 1/4 feet and 2 1/2 feet. How many feet of chain does laila need to purchase?
First you want to make the fractions have equal denominators. So you want to convert 1/2 to 2/4. Now you can add 1 1/4 to 2 2/4. After adding that subtract it from 6 1/4. Whatever your answer is will be how much more she needs.
A smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi. how much fruit will be in the smoothie?
The amount of fruit in the smoothie will be 3/2 .
It is given in the question that a smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi.
We have to find the amount of fruit in the smoothie.
We know that,
Amount of fruit in the smoothie = Amount of peach in the smoothie + Amount of banana in the smoothie + Amount of kiwi in the smoothie
Hence,
Amount of fruit in the smoothie = 4/6 + 1/2 + 2/6
Adding all the fractions, we get,
4/6 + 3/6 + 2/6 = 9/6 = 3/2
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what is the answer ?
Answer: 64
Step-by-step explanation:
8x=
8(8)=
8*8=64
Answer:
64
Step-by-step explanation:
To solve this equation, we have to plug 8 into x.
Plug 8 into x and multiply
8(8)
= 64
Take care and have a lovely rest of your day! :)
____Is used for examining data with more than two variables, and it includes a different vertical axis for each variable.
A Scatter plot is used for examining data with more than two variables, and it includes a different vertical axis for each variable.
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis. The independent variable will be time, and the dependent variable will be the number of calories provided.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
Therefore, a scatter plot is used for examining data with more than two variables, and it includes a different vertical axis for each variable.
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owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?4 −pound bags. How many pounds of potting soil does Marianne buy?
The number of tickets that she buys will be 14 tickets.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Marianne owes $56 for tickets to the school play. If each ticket cost $4. Then the number of tickets that she buys will be given as,
⇒ 56 / 4
⇒ 14 tickets
The number of tickets that she buys will be 14 tickets.
Your question was incomplete, but the complete question was given below.
Marianne owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?
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flip a coin will be flipped three times, and the number of heads recorded. explain why this is a binomial experiment. check all four required conditions.
When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."
What is binomial experiment?A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.
That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.
There must be a set number of trials. It should go without simply stating; if you don't have a set number of trials, you could keep tossing that coin indefinitely.Each trial is a separate event. "Independent" means that each time you duplicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.Each trial is a separate event. "Independent" means that each time you replicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.To know more about the binomial experiment, here
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4) Sara took a ferry to a nearby island that lasted for 5 days. Although she forgot to check the date when she departed, during the trip she heard someone say the date was August 14". When she arrived on the island, a native told Sara it was August 16th. What date did Sara start her trip?
Angie and Kenny play online video games. Angie buys 1 software package and 4 months of gameplay. Kenny buys 1 software package and 1 month of game play. Each software package cost $35. If their total cost is $150, what is the total cost of one month of gameplay?
Answer:
let m = the cost of 1 month game play(20 + 3m) + (20 + 2m) = 115by solving we findm = $15
Step-by-step explanation:
HELP PLEASE !!! Phone will die soon
Answer:
The overall change was 58 degrees
Step-by-step explanation:
-2 + 58 = 56
i need help with the plotting and bottom questions pls
All the data points are plotted on the number line and mentioned clearly as an image with the solution.
What is a number line?
A number line is a visual depiction of numbers on such a straight line created either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on those when they are written down on a number line. A number line is thought to begin at zero (0).For easy plotting on the number lines and for comparison of points, we will be converting all the fractions into decimals.
Kloee : [tex]3\frac{1}{4} = \frac{13}{4} =3.25[/tex]
High School :1.0
Middle School : 1.5
Football field : 5.7
KB: [tex]-4\frac{1}{8} = \frac{-33}{8} =-4.125[/tex]
Ben : -2.65
All the data points are plotted on the number line and mentioned clearly as an image with the solution.
(a) Distance between Ben and Kloee - 5.9
Plotted on the number line and mentioned clearly as an image with the solution.
(b) Distance of middle school from football field- 4.2
Plotted on the number line and mentioned clearly as an image with the solution.
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2/14 in simplist form
Answer: 1/7 or 0.142857
Step-by-step explanation:
Answer:
1/7 :)
Step-by-step explanation:
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90 ft2. Find the original area of the square.
Answer:
64 ft^2
Step-by-step explanation:
It is a square to start, so each side = x
then (x+7 ) * ( x -2) = 90
x^2 + 5x -14 = 90
x^2 + 5x - 104 = 0 factor or use Quadratic Formula to fin x = 8 ft
Original area is then 8 x 8 = 64 ft^2
Which of the following is true?
1 meter is the same size as 1 kilometer.
1 meter is greater than 1 kilometer.
1 kilometer is less than 1 meter.
1 kilometer is greater than 1 meter.
Answer: 1 kilometer is greater than 1 meter
Step-by-step explanation: kilo means 1000, so one 1 kilometer would be equal to 1000 meters, which is way more than just 1 meter.
Sorry if not specific!
Each leg of an isosceles triangle is twice as long as its base. Express the perimeter in terms of the length of the base.
The perimeter of the triangle in discuss expressed in terms of the length of the base as required in the task content is; Perimeter= 5x.
What is the perimeter of the isosceles triangle in terms of the length of the base?According to the task content, it follows that the perimeter of the triangle in terms of the length of the base is to be determined.
Let x = length of the base
Therefore, length of each leg = 2x.
Therefore, since the perimeter of the triangle is the sum of all sides; it follows that we have;
Perimeter = x + 2x +2x
Perimeter = 5x.
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CD is a line of length 12 cm
E is a point on the line segment CD.
CE: CD = 1:2
Mark point E on the line with a cross.
Answer:
E would be 6 spaces or the middle of points C and D.
Step-by-step explanation:
Please see picture.
How is solving an equation with the variable on both sides of the equation the same as and different from solving an
equation with the variable on one side of the equation?
Answer:
when the variable is on both sides of the equation first collect the same variable in one side end evaluate it,
Step-by-step explanation:
when solving the them, we collect like term and put the same term in one side to other
A truck bed can carry up to 1,000 pounds. Which inequality describes the number of boxes, b, the truck can carry if each box weighs 35 pounds?
Answer:
35x ≤ 1000
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Use your calculator to solve the following system: x 2y = 4 y - z = 0 x 3y - 2z = 5
-20/7 is the answer for the following equation.
There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
x+2y=4 ---------(1)
y-z=0 -------(2)
x+3y-2z=5 -----(3)
from eq(1)
x = 4-2y -----(4)
from eq (2)
z=y ----(5)
putting these values in eq (3)
4-2y+3y-2(y)=5
-y +4=5
-y=5-4
y = -1
putting in eq 4
x =4 -2y
x = 4-2 (-1) = 6
putting values of y in eq(3)
z = y = -1
x =6
y = -1
z = -1
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Are f(x) = 2x+4, g(x) = x-2 inverse of each other?
Answer:
This problem has been solved! See the answer Show transcribed image text Expert Answer Transcribed image text: Decide whether or not the functions are inverses of each other. f (x) = 2x + 4, g (x) = x – 2 no yes The function fis one-to-one.
Step-by-step explanation:
Find the value of sin c
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{\sqrt{95}}\\ \end{cases} \\\\\\ c=\sqrt{7^2~~ + ~~(\sqrt{95})^2}\implies c=\sqrt{49+95}\implies c=\sqrt{144}\implies c=12 \\\\[-0.35em] ~\dotfill\\\\ sin(C )=\cfrac{\stackrel{opposite}{\sqrt{95}}}{\underset{hypotenuse}{12}}\implies sin(C)\approx \text{\LARGE 0.81}[/tex]
write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
In Exercises 19-24, solve the equation. Determine
whether the equation has one solution, no solution, or
infinitely many solutions. (See Example 3.)
19. 3t+ 4 = 12 + 3t
20. 6d+ 8 = 14 + 3d
21. 2(h+ 1) = 5h - 7
22. 12y + 6 = 6(2y + 1)
23. 3(4g + 6) = 2(6g + 9)
24.
5(1+2m)=(8 + 20m)
Step-by-step explanation:
Given is a linear equation in t

If we want to simplify we find that 3t gets cancelled and we get

This is an impossible situation.
This implies that original equation has no solution at all
Hence answer is
the given has no solution
Which equation represents a linear function? Iready- Understand functions, Level H.
Answer:
y = 4x + 5
Step-by-step explanation:
y = 4x + 5 is the only one that graphs a straight line
Jeff makes $25 per Nike and $50 per Adidas sold at Foot Locker. Jeff can get no more than
20 shoes per week. He wants to make at least $100 a week. Write the system of inequalities to represent this scenario where x represents Nike
and y represents Adidas.
Answer: 4 Nike shoes a week
Step-by-step explanation:
One batch of brown paint uses 8 of yellow paint and 3 cups of purple paint Tyler made a large amount of brown paint using 40 cups of yellow paint
Answer:
not sure what you were asking, but its 15 cups of purple paint
f(x) =22 - 4x-7
find the following values.
f (2) =
f(4) =
f(-3)=
Answer:
your your question is wrong please make sure
let f (t) be the population (in thousands of people) of math city, as a function the time t (in years), where t
The mean is the population of city in 2026.
What is the short definition of a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."a) From the meaning of title -
f(t) = 3000t + 34000 { from 2020 it will be increase by 300 people
per year}
b) f(b) = 3000 × 6 + 34000
= 18000 + 34000
= 52000
The mean is the population of city in 2026.
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The complete question is -
Let f(t) be the population (in thousands of people) of Math City, as a function the time t (in years), where t = 0 corresponds to the year 2020. In 2020, the population was 34000, and each year the population increases by 3000 people. (a) Model the population by finding a formula for f(t), using the appropriate choice of a linear, polynomial, power, trigonometric, or exponential function, or a piecewise combination thereof. (b) Evaluate the expression f(6), and write a sentence explaining what this means. (c) Solve the equation f(t) = 64, and write a sentence explaining what this means
If a person with an hourly pay of $9.50 per hour gets a 20$ raise, what is the new hourly pay?
Percent formula, show your work
======================================================
Work Shown:
20% of $9.50 = 0.20*9.50 = 1.90
You earn an extra $1.90 on top of the $9.50 already there. So the new wage is 9.50 + 1.90 = 11.40 dollars per hour
-----------
Shortcut:
1.20*9.50 = 11.40
Think of 1.20 as 100% + 20% = 1 + 0.20 = 1.20, and this represents an increase of 20%
