In linear equation , The fifth son is younger than first son will be 31/3. And The age of the fifth son will be 1 and 5/12.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
In a family, there are five sons. The oldest son is 11 and 3/4 years old, and every next younger brother is younger than the next by 2 and 7/12 years.
Then the fifth son is younger than first son will be
⇒ 4(2 + 7/12)
⇒ 4(31/12)
⇒ (31/3)
The age of the fifth son will be
⇒ (11 + 3/4) – 4(2 + 7/12)
⇒ (47/4) – 4(31/12)
⇒ (47/4) – (31/3)
⇒ 17/12
⇒ 1 + 5/12
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17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3
Answer:
6 1/6.
Step-by-step explanation:
That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.
How many solutions does this equation have?
10n + 8 = 3 + 10n
Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.
Answer:
T < - 4°C
Step-by-step explanation:
Given that Mariana wears her coat only when temperature is colder than - 4°C
Recall that lower temperature values indicate higher degree of coldness ;
Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.
Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :
Temperature = T
T < - 4°C
Answer:
t < -4
Step-by-step explanation:
What's the circumference of a circle with a radius of 22 inches
no round
Answer:
22π
Step-by-step explanation:
Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:
diameter * pi --> 22 * pi = 22π
2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3
whoever knows how to solve this please help!
Answer:
418ft²
Step-by-step explanation:
Find the surface area of both triangle shaped sides.
8 * 12 = 96
96 / 2 = 48 (surface area of one triangular side)
48 * 2 = 96
Find the surface area of both square shaped sides.
10 * 10 = 100
100 * 2 = 200
Find the surface area of the rectangular base side.
12 * 10 = 120
Add everything together.
96 + 200 + 120 = 418
Best of Luck!
(cosec a + 1)*(1 - sin a)= cos a* cot a
Answer:
See proof below
Step-by-step explanation:
Given the equation, we are to prove that it is true
(cosec a + 1)*(1 - sin a)= cos a* cot a
From LHS
(cosec a + 1)*(1 - sin a)=
Expand
cosec a - cosecasina + 1 - sina
Since cosec a = 1/sina
1/sina - (1/sina)sina + 1 - sina
1/sina - 1 + 1 - sina
1/sin a - sina
Find the LCM
1-(sin^2a)/sina
cos^2a/sina
cosa * cosa/sina
cos a * cot a (which gives the RHS)
On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point
Answer:
The answer would be 17
Step-by-step explanation:
Answer:
i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.
I hope this helps! :)
Alternate interior and alternate exterior angles can be congruent
True or false
Plss answer
Answer:
it's false
Step-by-step explanation:
hope it's correct
Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)
Answer:
b, d, e, g are the points
The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=2x+3.
A) Substitute (x, y)=(-4, 3) in y=2x+3, we get
3=2(-4)+3
3≠-5
B) Substitute (x, y)=(-1, 1) in y=2x+3, we get
1=2(-1)+3
1=1
C) Substitute (x, y)=(0, 0) in y=2x+3, we get
0≠3
D) Substitute (x, y)=(2, 7) in y=2x+3, we get
7=2(2)+3
7=7
E) Substitute (x, y)=(3, 9) in y=2x+3, we get
9=2(3)+3
9=9
F) Substitute (x, y)=(3 12) in y=2x+3, we get
12=2(3)+3
12≠9
G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get
12=2(4.5)+3
12=12
Therefore, the options B, D, E and G are the correct answers.
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determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree
Answer:
Neither
Step-by-step explanation:
It has a y intercept, which is -6, which changes the whole graph, so its neither
Answer:
odd
Step-by-step explanation:
the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3
the degree is 3, which is odd
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi
You need two formulas for this:
C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius
A = πr² Where A is area, and r is radius
First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.
Answer:
[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]
Step-by-step explanation:
1. Find the Radius
We are given the circumference of 40.82 centimeters. The formula for circumference is
[tex]c=\pi d[/tex]
The diameter is twice the radius, so we can also write this formula as:
[tex]c= \pi 2r[/tex]
Substitute 40.82 for the circumference and use 3.14 for pi.
[tex]40.82 \ cm= (3.14) 2r[/tex]
[tex]40.82=6.28 r[/tex]
6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82
[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]
[tex]6.5 \ cm=r[/tex]
2. Calculate the Area
Now we can calculate the area using this formula:
[tex]a= \pi r^2[/tex]
The radius is 6.5 centimeters and we are using 3.14 for pi.
[tex]a= 3.14(6.5 \ cm)^2[/tex]
Solve the exponent.
(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²[tex]a= 3.14 (42.45 \ cm^2)[/tex]
Multiply.
[tex]a=132.665 \ cm^2[/tex]
The area is 132.665 square centimeters.
Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?
Answer:
18 inches
Step-by-step explanation:
In geometry the shorter side is the width.
Therefore 18 inches is the width.
(I didn't really get this question)
please help, first person with the right answer will be rewarded!!
p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled
===========================================================
Explanation:
We're told that "p is directly proportional to the square of q", which means that we have the equation
p = k*q^2
for some constant k
Replace p with 12 because we're also told that p = 12.
So we now have this equation
12 = k*q^2
which is the same as
kq^2 = 12
We'll use this later.
-----------------------
Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling
p = k*q^2
p = k*(2q)^2 ... replace q with 2q
p = k*4q^2
p = 4k*q^2
p = 4*(kq^2)
p = 4(12) ...... replace kq^2 with 12
p = 48
Therefore, if q is doubled, then p = 12 quadruples to p = 48.
solve for the missing side,x
Answer:
7.44
Step-by-step explanation:
With reference angle 28°
perpendicular (p) = x
base (b) = 14 cm
Now
Tan 28° = p / b
0.532 = x / 14
x = 7.44
Hope it will help :)
Answer:
Step-by-step explanation:
Find the slope of any line parallel to the line through the given points (3,2),(3,1)
Answer:
the qoustion is not correct
1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm
Answer:
can you explain the question?
Step-by-step explanation:
Find the slope of any line parallel to the lien through the given points (3,2),(3,1)
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify: m = undefinedA new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *
Answer:
$24,800
Step-by-step explanation:
that's how much the car costs at year 0
Answer:
Step-by-step explanation:
The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.
The equation described is y=24800(0.88)^x
What is the inequality for -8x>48
Answer: x<−6
Step-by-step explanation:
Factor the expression. 48 + 16x
correct answers get brainiest and 5 stars, wrong answers reported
8(6+2x)
hope that helps^^
Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm
Answer:
86 cm is the perimeter
Step-by-step explanation:
When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:
y= 5x - 7
-3x - 2y = -12
Solve each system of equations using the substitution method
Give the solution in (x,y) form
Point form: (2,3) and x=2 and y=3
5. Simplify the expression.
-3+5n+14n+7
(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER
9514 1404 393
Answer:
line A
Step-by-step explanation:
The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.
what does the E stand for in 3.1536e+17
Answer:
well e stands for like what you multiply
Step-by-step explanation:
like well here is an example y=16e and you have to find what e stands for so E=