The present age of the Son will be 10 years and Father's present age will be 40 years.
We will solve this problem with the concept of age.
Age is referred to as the length of time that a person or item has been alive. Problems based on age generally consist of information about the ages of two or more people and a relation between their ages in the present or future or past. Using this information it is asked to calculate the ages of one or more people in the present past or future.
The important thing to keep in mind while solving problems of ages.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then the age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.
If the current age is y, then 1/n of the age is y/n.
According to our problem:
Let the present age of the son = x
The present age of the father = 4x
After 5 years
Son age = x+5.
Father age = 4x+5
According to the condition =
4x+5 = 3(x+5)
4x+5 = 3x + 15
x = 10
Therefore the present age of the son will be x = 10 years and the father will be 4x= 40 years.
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Why is it called linear function?
A linear function is a type of function that can be expressed in the form of a linear equation with one or more variables.
The equation is written as y = mx + b, where m is the slope and b is the y-intercept. The slope is the rate at which the line rises or falls and the y-intercept is the point where the line crosses the y-axis. The slope and y-intercept of a linear function are constants, meaning that the line does not curve or change direction. This is why it is called a linear function.
When calculating linear functions, the equation is used to identify the slope and the y-intercept. The slope and y-intercept are then used to plot the points on a graph. A linear equation has the form y = mx + b, where m is the slope and b is the y-intercept. The slope indicates the rate of change of the function and the y-intercept indicates the point where the line crosses the y-axis. To find the slope of a linear function, the equation is solved for m, which is the rise over run. To find the y-intercept, the equation is solved for b, which is the y-value when x = 0. Once the slope and y-intercept are determined, the points can be plotted on a graph and the linear equation can be written.
In summary, a linear function is a type of function that can be expressed in the form of a linear equation. The equation of the linear function is used to identify the slope and y-intercept, which are then used to plot the points on a graph. Linear functions can be used to model many real-world situations and to solve for x and y values for any given point.
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question 8 thank youuu
Step-by-step explanation:
hope this help have a great day
What triangle congruence postulate would you use to prove these triangles are congruent.
Answer:
I don't know
Step-by-step explanation:
sorry
How do you solve for x and y using substitution?
In substitution method we have to put the the value of one variable from one equation to the other equation. Then we solve the equation and can find the value of variable x and y.
In the given question we have to explain how we can solve for x and y using substitution.
In the Substitution method we find the value of one variable in term of other variable from the one equation then we put the value of that variable in other equation. After putting the value of that variable in other equation, equation converts into the similar variable. Then after solving we can easily find the value of one variable. After finding the value of one variable we put the value of that variable in first equation. By this we can find the value of both variable.
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how many 3 digit whole numbers are there between 99 and 1000
Answer:
901
Step-by-step explanation:
1000 - 99 = 901
thats how you find the answer
Answer:
910
Step-by-step explanation:
neeed help with this thanks
How many more people in the world speak Chinese than speak English?
Answer:
The answer is 912 million
Step-by-step explanation:
912 million people speak Chinese in the world than they do English.
what's 1 + 1 i already know this but i’m just looking out for yall
Answer
2
Step-by-step explanation:
1+1=2
Answer: Window
Step-by-step explanation:
1+1 the the = on top :D
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
D. 6x2 + 3x - 7
Step-by-step explanation:
Find the range of the following numbers: 10 78 22 354 75 81 8 6 A 8 C 27 B 81 D 78
Answer:
348
Step-by-step explanation:
6 8 10 22 75 78 81 354
subtract the highest number to the lowest number
there are 549 coins in a bottle
one third of the coins are £1 coins
164 of the coins are 50p coins
the rest of the coins are 20p coins
work out the value of the 549 coins in pounds (£)
The value of the 549 coins in pounds (£) is 305.4 .
What is fraction multiply?
Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. The procedure to multiply the fractions are: Multiply the numerator with numerator. Multiply the denominator with the denominator. Simplify the fractions, if required.
Given:
Total coins : 549 coins
one third(1/3) of the coins are £1 coins
164 of the coins are 50p coins
rest of the coins are 20p coins
one third of 549 = 549/3 = 183
Thus ,
£1 coins = 183
50p coins = 164
20p coins = 549 - (183 + 164) = 202
value of the 549 coins in pounds (£) is given by
[tex]= 549 * \frac{1}{3} * 1 + 164* 0.5 + (549 *\frac{2}{3} - 164)*0.2\\\\= 183 + 82 +40.4\\\\= 305.4[/tex]
Hence , the value of the 549 coins in pounds (£) is 305.4 .
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5. Find the length of the side denoted b "y" to the nearest tenth.
Answer:
y = 24√3, or approximately 41.6
Step-by-step explanation: √3 36
Here the ratio 36/y = cosine of 30 degrees = ------- = ------
2 y
Cross-multiplying yields (√3)y = 72, so y = 72/√3, or 72√3/3, or y = 24√3
What is the total number of outcomes in each situation?
rolling two number cubes
A. 8
B. 18
C. 36
D. 12
Answer:
36
Step-by-step explanation:
100-(8x2)+15/3 and pls explain
Answer:
89
Step-by-step explanation:
Firstly u need to calculate the numbers in the bracket .
So,
8×2 = 16
15/3 = 5
100 - 16 + 5 = 89
Find the measure of angle MNQ
Answer:
∠MNO = 158°
Step-by-step explanation:
∠MNO = 1/2(91° + 225°) = 158°
find the slope-intercept equation of the line that passes through (0,1) and has a slope of -2/3
Answer:
y = -2/3x + 1
Step-by-step explanation:
We already know the slope, so all we need to do is find the y-intercept. To find that, we need to plug the coordinates into the equation so far, which is,
y = -2/3x + b
1 = -2/3(0) + b
1 = 0 +b
1 = b
So the equation is y = -2/3x + 1
Solve the system
x+2y=-11
3y=x+1
Answer:
x=-13, y=-4
Step-by-step explanation:
Answer: x=-7 y=-2
Step-by-step explanation:
x+2y=-11
3y=x+1
x=-2y-11 (1)
3y=x+1 (2)
Substitute the value of x of equation (1) into equation (2):
3y=-2y-11+1
3y=-2y-10
3y+2y=-2y-10+2y
5y=-10
Divide both parts of the equation by 5:
y=-2
Substitute the value of y=-2 into equation (1):
x=-2(-2)-11
x=4-11
x=-7
Thus, (-7,-2)
1/4a + (-6) - 3/4a + 2.8, what is equivalent to this expression?
The equivalent for the expression 1/4a + (-6) - 3/4a + 2.8 is -(2+12.8a)
How do we find the equivalent of an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
For example 2x+ y+5y+6x is an example of expression and it's equivalent is 8x+6y
simplifying the expression 1/4a + (-6) - 3/4a + 2.8,
multiply through by 4a
1-24a-3+11.2a
collect like terms
1-3-24a+11.2a
= -2-12.8a
= -(2+12.8a)
therefore 1/4a + (-6) - 3/4a + 2.8 = -(2+12.8a)
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Wanda's dog eat 35 pounds of dog food each week. At this rate, how many pounds of dog food they eat in 12 days what is the answer?
Answer:
420
Step-by-step explanation:
35 x 12 = 420
Answer:
420
Step-by-step explanation:
You ask 50 of your classmates if they have any siblings. Complete the two-way frequency table to show the results of the survey.
Girls of 25 says Yes, 10 boys say No. 30 total Students say No, 45 girls total, with a total of 60 Students
What meant by mathematical expression ?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
An expression that uses numbers, variables, or both is a mathematical expression. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.
Given,
5 boys tell yes and total boys and girls tell yes is 30 by simplifying
no of girls tell yes =30 - 5= 25
no of girls tell no =20
overall total boys tell no = 15-5=10
The no of boys tell no =10
So total no of boys and girls tell no = 20+10=30
total no of girls tell yes and no =60-15=45
The complete question is : You ask 60 of your classmates if they have any siblings. Complete the two-way frequency table to show the results of the survey.
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What is the range of the function 4?
The range is 4.
The range is 4 because y=y can only take on 4 at any point.
Solve for x, then find the m HED. Please helppp
Answer:
x=3, HED =39
Step-by-step explanation:
Solution :
[tex]10x + 21 + 13x = 90[/tex]
[tex]23x = 90 - 21[/tex]
[tex]23x = 69 = > x = 3[/tex]
Angle HED = 13 × 3 = 39°
Hope this helps!
How to compute 1sd 2sd 3sd?
The average degree of variability in the dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean.
Explain the term standard deviation?Empirical principle
If your frequency distribution follows a normal distribution, the standard deviation and mean combined might help you determine where the majority of the values are located.
The 68-95-99.7 rule, often known as the empirical rule, reveals your values to you:
Nearly 68% of scores are within one deviation of the mean, nearly 95% are within two standard deviations, and nearly 99.7% are within three standard deviations.Thus, the standard deviation is a less trustworthy indicator of variability for non-normal distributions and should be combined with other metrics like range or interquartile range.
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Review Exercise 14b
Find the truth set of the following equations
i) 3(2x+1)=8
Answer:
5/6
Step-by-step explanation:
x = 5/6.
Which is an example of a sequence?
3,7,11,15 is an example of sequence since we can see a pattern is previous and next term.
What are the name of four type of sequences?Arithmetic sequence
Geometric sequence
Harmonic sequence
Fibonnaci numbers.
Is sequence a set?In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
A sequence is a list of elements that has been arranged in a certain way. For instance, the sequence 3, 7, 11, 15,... is a sequence because it follows a pattern where each term is created by adding 4 to the term before it.
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help what is the answer to this picture?
WX is a segment bisector
WX is a perpendicular bisector
W is the midpoint of a segment in the diagram
Find x: a - bx = cx + d
Answer:
x= -(d-a)/(b+c)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
If$2500was invested 6 years ago, andtheinterestwascompoundedquar-terly,whatwastheinterestrateifthecurrentvalueis$3425?
Answer:
The interest rate was 5.24%.
Step-by-step explanation:
You can use the following formula to calculate the interest rate:
i=n*((A/P)^1/nt-1), where:
i= interest rate
n= number of times interest is compounded= 4
A=value of investment= 3425
P= principal= 2500
t=time= 6
Now, you can replace the values on the formula:
i=4*((3425/2500)^1/4*6-1)
i=4*(1.37^1/24-1)
i=4*0.0131
i=0.0524
According to this, the answer is that the interest rate was 5.24%.
a number has three distinct digits, the sum of the digits equals the products of the digits. how many three digit numbers satisfy this condition?
Only one three digits number 111 would satisfy this condition.
Let the three digits be x, y and z. Since the sum of the digits is equal to the product of the digits, we can write x + y + z = xyz
Simplifying the equation, we get x + y + z - xyz = 0
This is a quadratic equation in the form ax2 + bx + c = 0 where a = 1, b = 1 and c = -xyz
To solve this equation, we use the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a
In this case, x = [-1 ± √(1 - (-4 * 1 * (-xyz))]/2
Since xyz must be a positive integer, the only solution is when the square root of 1 - (-4 * -xyz) is 0
This means xyz must be 1, so x + y + z = 1 + y + z = 3
Since x, y and z are all distinct digits, the only possible solution is when x = 1, y = 1 and z = 1, giving the solution 111.
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For what values of x is the expression below defined?
A. 4> xs-1
B. 45xs1
C. 4 >x>1
D. -4sx< 1
Answer:
D.
Step-by-step explanation:
D.-4sx<1!I think is d