As given Chole and Tinos age , the present age of Tino is equal to 15 years.
As given,
Let x and y be the present age of Chole and Tino. respectively.
Combined age = 48
Given condition,
x + y = 48 _______(1)
Three years ago
x - 3 = 2y
⇒x =2y +3 _______(2)
Substitute the value of x in (1),
2y+3 +y =48
⇒ 3y = 45
⇒ y = 15years
Therefore , as given Chole and Tinos age , the present age of Tino is equal to 15 years.
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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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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!
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:
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! :)
Write this fraction in simplest form
3/x-4 + 2/2x+5
On an average-sized plane with 152 passengers on board, 27 vegetarian dishes are ordered. The largest type of airliner generally holds 500 people. How many vegetarian dishes are needed there?
89 vegetarian dishes
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Using unitary method,
152 passengers are served with = 27 dishes
1 passengers are served with = 27/152
500 passengers are served with = 27 x 500 / 152
= 88. 81
≈ 89 vegetarian dishes
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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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Solve the following inequality. Graph the solution.
8a-30> 66
What is the solution? Select the correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal.)
A. az
B. as
OC. a>
D. a<
The solution to the given Inequality is a > 12 and the graph is as attached.
What is the Solution to the Inequality?
We are given the Inequality as;
8a - 30 > 66
Now, use addition property of equality to add 30 to both sides to get;
8a - 30 + 30 > 66 + 30
8a > 96
Now, use division property of equality to divide both sides by 8 to get;
8a/8 > 96/8
a > 12
The graph of this is as attached.
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Claire has $300 in an account. She decides she is going to take out half of what's left in
there at the end of each month.
Recursive:
Explicit:
The recursive function is Tn = 1/2T(n - 1) where T1 = 300
How to determine the recursive and the explicit functions?Recursive function
Here, we have
She decides she is going to take out half of what's left in there at the end of each month.
This means that
Tn = 1/2T(n - 1)
Hence, the recursive function is Tn = 1/2T(n - 1) where T1 = 300
Explicit function
Here, we have
Initial, T1 = 300
Rate, r = 1/2
The explicit function is represented as
Tn = T1 * r^(n-1)
So, we have
Tn = 300 * (1/2)^(n-1)
Hence, the explicit function is Tn = 300 * (1/2)^(n-1)
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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:
a tower is 64 m tall a man is standing erect at a distance of 36 m from the tower observe the angle of elevation of a top of the tower to be 60° find height of man
Answer:
1.72m is height of man
Step-by-step explanation:
since we know tan60°=[tex]\sqrt{3}[/tex];
then here tan60°=height/base;
height =64-height of man (let be x)
base=36;
now
[tex]\sqrt{3}[/tex]=[tex]\frac{64-x}{36\\}[/tex]
x=64-36[tex]\sqrt{3}[/tex]
x=1.72 m
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Answer: Answer is 4(16 - 9[tex]\sqrt{3}[/tex])
Step-by-step explanation: Concept:
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer’s line of sight would be above the horizontal.
tan θ = [tex]\frac{opposite}{adjacent}[/tex]
tan 60 =[tex]\sqrt{3}[/tex]
Given:
It is given that AB is the height of the man, the angle of elevation is 60°, the distance from the man to the tower BC is 36 m and the height of the tower is 64 m.
The height of the man AB.
In ΔADE
tan 60 = [tex]\frac{ED}{AD}[/tex]
[tex]\sqrt{3}[/tex] = [tex]\frac{ED}{36}[/tex]
36 [tex]\sqrt{3}[/tex] = ED
Now,
DC=CE-CD
CD = 64 -36 [tex]\sqrt{3}[/tex]
CD = 4(16 - 9 [tex]\sqrt{3}[/tex])
Now, given that AB=CD
Therefore, The height of the man is 4(16 - 9[tex]\sqrt{3}[/tex])
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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?
The function f is defined by the following rule
f(x)=4x-2
complete the function table
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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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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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.
f(x) =22 - 4x-7
find the following values.
f (2) =
f(4) =
f(-3)=
Answer:
your your question is wrong please make sure
What is a gradient in mathematics
gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.
Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..
The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.
An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.
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In which data format does each column start and end at the same place in every row?
Fixed-Width is data format does each column start and end at the same place in every row.
What do statisticians mean by nominal data?
Nominal data is information that may be labeled or categorized within a variable into groups that are mutually exclusive. It is impossible to meaningfully rank these categories. For instance, you might have the options of a vehicle, bus, rail, tram, or bicycle for the nominal variable "preferred mode of transportation."Nominal data have a quality?
Quantitative and qualitative nominal data are also possible. But there is no numerical value or link for the quantitative designations (e.g., identification number). However, different kinds of qualitative data can also be expressed in nominal form.Learn more about Fixed-Width
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The Yankees won 95 games in 2010 and 97 games in 2011. What is the percent change in the number of wins from 2010 to 2011?
Please answer
The percentage change is 2.1%
How to calculate the percentage change ?The Yankees won 95 games in 2010
They also won 97 games in 2011
Therefore the percentage change can be calculated as follows
= 97 - 95/97 × 100
= 2/97 × 100
= 0.021 × 100
= 2.1
Hence the percentage change is 2.1%
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You are driving on a highway and are about 140 miles from a state borer. you set your cruise control at 60 miles per hour and plan to turn it off within 30 miles of the border on either side. write and absolute value equation to model the situation. solve it to find the minimum and maximum numbers of hours you will have cruise control on.
The absolute value function is
|d - 140| = 30.
Using the absolute value function, we have that:
The minimum time is of 1.83 hours.
The maximum time is of 2.83 hours.
Absolute value function:
Basically, absolute value function providing the distance the number is from zero on a number line.
The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin,
For example,
|2| = |-2| = 2.
Given,
You are driving on a highway and are about 140 miles from a state borer. you set your cruise control at 60 miles per hour and plan to turn it off within 30 miles of the border on either side.
Here we need to write and absolute value equation to model the situation. And we are also solve it to find the minimum and maximum numbers of hours you will have cruise control on.
In this problem, the minimum and maximum distances are within 30 miles of 140,
Hence, the absolute value function is,
|d - 140| = 30.
So, the minimum distance is of:
=> d - 140 = -30
=> d = -30 + 140
=> d = 110.
Hence the minimum time(distance divided by velocity) is:
=> 110/60 = 1.83 hours.
Then the maximum distance is of:
=> d - 140 = 30
=> d = 30 + 140
=> d = 170
Hence the maximum time(distance divided by velocity) is:
=> 170/60 = 2.83 hours.
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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
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the parabolic cylinder y = 2x2
The vector function is, r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]
Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.
First surface is the paraboloid, [tex]z=9x^2+y^2[/tex]
Second equation is of the parabolic cylinder, [tex]y=2x^2[/tex]
Now to find the intersection of these surfaces, we change these equations into its parametrical representations.
Let x = t
Then, from the equation of parabolic cylinder, [tex]y=2t^2[/tex].
Now substituting x and y into the equation of the paraboloid, we get,
[tex]z=9t^2+(2t^2)^2 = 9t^2+4t^4[/tex]
Now the vector function, r(t) = <x, y, z>
So r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]
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Name the angle in as many different ways as possible.
Answer:
JGL, LGJ, 2
Step-by-step explanation:
write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
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!
sup yall
solve 4p-7r=pq+16 for p
Answer:
p = (7r+16) / (4-q)
Step-by-step explanation:
4p - 7r = pq + 16
Add 7r to both sides.
4p = pq + 16 + 7r
Subtract pq from both sides.
4p - pq = 7r + 16
Factor out p from the left side.
p(4 - q) = 7r + 16
Divide both sides by (4 - q).
p = (7r + 16)/(4 - q)
The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.
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
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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(x4)^8 in simplest form
Answer:
x^32
Step-by-step explanation:
Multiply the exponents in (x4)8.
