The son is 30 years and the father is 65 years.
Let x represent the present age of the son and y represent the present age of the father.
Hence:
y = x + 35
-x + y = 35 (1)
In 5 years time:
y + 5 = 2(x + 5)
y + 5 = 2x + 10
-2x + y = 5 (2)
Solving equations 1 and 2 simultaneously gives:
x = 30, y = 65
The son is 30 years and the father is 65 years.
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Son = 30 years
Father = 65 years
Present Details:
Son: "s" years (lets consider son's present age to be s)
Father: "s + 35" (father is 35 years older than the son)
After 5 years:
Son: "s + 5" [son will be 5 years older]
Father: 2(s + 5) [twice the son's age] and (s + 35) + 5 = (s + 40) years
Solve father's age simultaneously:
2(s + 5) = (s + 40)2s + 10 = s + 402s - s = 40 - 10s = 30⊕ Thus, the Son is 30 years old.
Father's age:
s + 35 ⇒ 30 + 35 ⇒ 65 yearsA cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]
[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]
Or, [tex]V=136.119 \ cubic \ inches[/tex].
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
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Correlation coefficients
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answer:
D: (-6,0)
Step-by-step explanation:
Set f(x) equal to 0 and solve for the values of x:
f(x) = (x+6)(x-3)
0 = (x+6)(x-3)
x+6=0 and x-3=0
x=-6 and x=3
Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.
Answer: (-6, 0)
Step-by-step explanation:
got it right on my test
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
Find the hypotenus of the following triangles.
Answer:
a 17, b 10, c 15, d 20
Step-by-step explanation:
a^2+b^2=c^2
64+225 = 289
a = 17
36+64 = 100
b = 10
81+144 = 225
c = 15
256+144 = 20
Hope that helps
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer:
65
Step-by-step explanation:
65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.
Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100
Answer:
4 if im right:)
Step-by-step explanation:
Answer:
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those 3 weeks?
1 m = 0.001 km
P.S pls help me
Answer:
10080.000
Hope this helps you! Happy holidays
Answer: 15.54 Km
Step-by-step explanation:
740*21 = 15,540 = 15.54 Km
If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso
tell me numbersin order
Part 1:-
cost to park of a day is= $25+$43+$61+$79 =$208and the hourly rate to a paddle boat =208÷24=$8.6 per hour______________________
What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.The total cost to rent the boat will be
3.5 hours x $ 12 per hour + $ 5 =$47
if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5
what is 3/4÷2/1=
Explain how you got your answer
Answer:
3/2
Step-by-step explanation:
Use the KCF method.
Keep the first fraction (3/4)
Change the sign (division to multiplication)
3/4*2/1=6/4 or 3/2
Answer:
[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]
Step-by-step explanation:
=[tex]\frac{3}{4*2}[/tex]
[tex]\frac{3}{8}[/tex]
Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Answer:
8
Step-by-step explanation:
If j represents Jack's age, we have ...
2j +5 = 21
2j = 16 . . . . . . subtract 5
j = 8 . . . . . . . . divide by 2
Jack is 8 years old.
Convert -439° to radians
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answer:
E no is the correct answer
Plzzz plzzzzzz help meeeee
6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8
The answer is for this question is A
(40 POINTS) Which linear function represents this table of values?
A. y=16x+13
B. y=23x+7
C. y=32x−3
D. y=6x−9
x: y:
3 9
9 13
12 15
Answer:
B is the answer
Step-by-step explanation:
take two of the points to plug in and test
point one, when x is 3 y is 9
y=2/3 (3) +7
y=6/3 +7
y= 2 + 7
y=9
test the next point
(9,13)
y=2/3 (9) + 7
y=18/3 +7
y= 6 +7
y=13
which statement describes the solution to the system of equations?
Answer:
The solution is (3, 5).
Step-by-step explanation:
The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true. On a graph, you can find this solution by searching for the place where the lines intersect.
In this case, it looks like the lines intersect at the point (3, 5), so this is our final answer. Hopefully that's helpful! :)
The solution is (3, 5), this statement describes the solution to the system of equations.
Option B is correct.
Here, we have,
The statement that describes the solution to the system of equations where two lines intersecting at (3, 5) is:
"The point of intersection of the two lines is (3, 5)."
When two lines intersect at a single point, that point is the solution to the system of equations.
In this case, the coordinates (3, 5) represent the x and y values where the two lines cross each other.
This means that both equations are satisfied when x = 3 and y = 5.
The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true.
On a graph, you can find this solution by searching for the place where the lines intersect.
"The point of intersection of the two lines is (3, 5)."
Option B is correct.
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NO LINKS PLEASE! AND NO NEGATIVITY!
A coffee pot holds 6 quarts of coffee. How much is this in cups?
Answer:
24 cups
Step-by-step explanation:
1 quart = 4 cups
6x4= 24 cups
Answer:
24 cups.
Step-by-step explanation:
Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.
Which graph represents an function
Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally
It was -5° in Copenhagen and -12° in Oslo.
Which city was colder?
Answer:
Oslo
Step-by-step explanation:
It's colder in Oslo by 7 degrees.
hope this answer helps!
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
6x - 10 - - 8 + 3
3x
What’s the answer?
Answer:
Step-by-step explanation:
-2+39x
what is the sum of the interior angles of a hexagon?
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!
expand and simplify (x+7)(x+1)
Answer:
x² + 8x + 7
Step-by-step explanation:
(x + 7) (x + 1)
= x(x + 1) + 7(x + 1) Distributive
= (x · x) + ( x ·1 ) + (7· x) + (7 · 1)
= x² + x + 7x + 7 Multiply
= x² + 8x + 7 Add like terms
The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.
Answer:
The coefficient of determination!
Step-by-step explanation:
It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)
is y=3x^2+2 a linear function
Answer: No!
Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.
Hope this helps :)
No.
y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.
This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.
_____
Hope it helps ⚜
For the polynomial
f(x) = 2x4 – 8v? + 77-25
as
X->
→ -*f(x) –
- DO
We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
Given the polynomial function expressed as:
[tex]f(x)=2x^4-8x^2+7x-25[/tex]
If x tends to negative infinity, the polynomial function will become:
[tex]f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25[/tex]
Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.
Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
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Mrs. Thomas had 18 cups of popcorn. She wanted to separate them into bags that were cup bags. How many bags can she make?
Answer:
the answer would be 3 bags of 6