Answers
Answer:
6 = (2,2)8 = (0, -6)10 =(13,-6)Step-by-step explanation:
[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]
6.
[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]
8.
[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]
10.
[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]
Related Questions
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. How many cruise passengers must there have been in 2017
Answers
Answer:
approximately 26.7 million
Step-by-step explanation:
Let x be the number of cruise passengers in 2017.
6.7% increase of x gives us 28.5 m cruise passengers in 2018.
Thus, 106.7 % of x = 28.5
[tex] \frac{106.7}{100} * x = 28.5 [/tex]
[tex] \frac{106.7x}{100} = 28.5 [/tex]
Multiply both sides by 100
[tex] \frac{106.7x}{100} * 100 = 28.5*100 [/tex]
[tex] 106.7x = 2850 [/tex]
Divide both sides by 106.7
[tex] \frac{106.7x}{106.7} = \frac{2850}{106.7} [/tex]
[tex] x = 26.7 [/tex] (approximated)
Number of passengers in 2017 must have been approximately 26.7 million
describe an infinite list of decimals. all of which are greater than 3.514, but get closer and closer to 3.514
Answers
3.51401
3.514001
3.5140001
3.51400001
[...]
All are bigger than 3.514, but the limit will be 3.514
If there are 132 stamps on a total of 12 pages in a collector's book, what the unit rate of stamps per page ?
Answers
Answer: 11 stamps per page
Step-by-step explanation: 132 divided by 12
Which 2 statements are true
Answers
Answer:
B
Good luck in Geometry my guy!
Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sin πx 3 , 0 ≤ x ≤ 3
Answers
Answer:
[tex]\mathbf{S =6 \sqrt{1 + \dfrac{\pi^2}{9} }+ \dfrac{18}{\pi} In (\dfrac{\pi}{3}+ \sqrt{1+ \dfrac{\pi^2}{9}})}[/tex]
Step-by-step explanation:
Given that
curve [tex]y = \dfrac{\pi x}{3}, 0 \leq x \leq 3[/tex]
The objective is to find the area of the surface obtained by rotating the above curve about the x-axis.
Suppose f is positive and posses a continuous derivative,
the surface is gotten by the rotating the curve about the x-axis is:
[tex]S = \int ^b_a 2 \pi f (x) \sqrt {1 + (f' (x))^2 } \ dx[/tex]
The derivative of the function [tex]y' = \dfrac{\pi}{3} cos \dfrac{\pi x}{3}[/tex]
As such, the surface area is:
[tex]S = \int ^3_0 2 \pi sin \dfrac{\pi x}{3} \sqrt {1 +(\dfrac{\pi}{3}cos \dfrac{\pi x}{3})^2 } \ dx[/tex]
Suppose ;
[tex]u = \dfrac{\pi}{3}cos \dfrac{\pi x}{3}[/tex]
[tex]du = -( \dfrac{\pi}{3})^2 sin \dfrac{\pi x}{3} \ dx[/tex]
If x = 0 , then [tex]u = \dfrac{\pi}{3}cos \dfrac{\pi (0)}{3} = \dfrac{\pi}{3}[/tex]
If x = 3 , then [tex]u = \dfrac{\pi}{3}cos \dfrac{\pi (3)}{3}[/tex]
[tex]u = \dfrac{\pi}{3}(-1)[/tex]
[tex]u = -\dfrac{\pi}{3}[/tex]
The equation for S can now be rewritten as:
[tex]S = \int^3_0 2 \pi sin \dfrac{\pi x}{3} \sqrt{1+(\dfrac{\pi}{3} cos \dfrac{\pi x}{3})^2 }\ dx[/tex]
[tex]S = 2 \pi \int ^{-\frac{\pi}{3} }_{\frac{\pi}{3}}(-\dfrac{9 \ du }{\pi^2} ) \sqrt{1+u^2}[/tex]
[tex]S = 18 \pi * \dfrac{1}{\pi ^2 } \int ^{-\frac{\pi}{3}}_{\frac{\pi}{3}} \sqrt{1+u^2} \ du[/tex]
[tex]S = \dfrac{18} {\pi} \int ^{-\frac{\pi}{3}}_{\frac{\pi}{3}} \sqrt{1+u^2} \ du[/tex]
[tex]S = \dfrac{18} {\pi} (2 \int ^{-\frac{\pi}{3}}_{0} \sqrt{1+u^2} \ du)[/tex]
since [tex](\int ^a_{-a} fdx = 2\int^a_0 fdx , f= \sqrt{1+u^2} \ is \ even )[/tex]
Applying the formula:
[tex]\int {\sqrt{1+x^2}} \ d x= \dfrac{x}{2} \sqrt{1+x^2}+ \dfrac{1}{2} In ( x + \sqrt{1+x^2})[/tex]
[tex]S = \dfrac{36}{x}[ \dfrac{u}{2} \sqrt{1+u^2}+ \dfrac{1}{2} \ In (u+ \sqrt{1+u^2}) ] ^{\frac{\pi}{3}}_{0}[/tex]
[tex]S = \dfrac{36}{x}[ \dfrac{\dfrac{\pi}{3}}{2} \sqrt{1+\dfrac{\pi^2}{9}}+ \dfrac{1}{2} \ In (\dfrac{\pi}{3}+ \sqrt{1+\dfrac{\pi^2}{9}})-0 ][/tex]
[tex]S =6 \sqrt{1 + \dfrac{\pi^2}{9} }+ \dfrac{18}{\pi} In (\dfrac{\pi}{3}+ \sqrt{1+ \dfrac{\pi^2}{9}})[/tex]
Therefore, the exact area of the surface is [tex]\mathbf{S =6 \sqrt{1 + \dfrac{\pi^2}{9} }+ \dfrac{18}{\pi} In (\dfrac{\pi}{3}+ \sqrt{1+ \dfrac{\pi^2}{9}})}[/tex]
The area of the surface is,[tex]S = 6\sqrt{1+\dfrac{\pi ^2}{3}} + \dfrac{18}{3}\ ln (\dfrac{\pi }{3}+\sqrt{1+\dfrac{\pi ^2} {9}})[/tex].
Given that,
The exact area of the surface obtained by rotating the curve about the x-axis. y = sin πx\3 , 0 ≤ x ≤ 3.
We have to determine,
Area of the surface obtained by rotating the curve.
According to the question,
Suppose f is positive and posses a continuous derivative,
The surface is gotten by the rotating the curve about the x-axis is:
Area of the surface is given by,
[tex]S = \int\limits^b_a {2\pi f(x) .\sqrt{1+ (f'(x))} } \, dx[/tex]
The given curve is x-axis,
[tex]y = \dfrac{sin\pi x}{3}[/tex]
The derivative of the function is,
[tex]\dfrac{dy}{dx} =\dfrac{\pi }{3} \dfrac{ cos\pi x}{3}[/tex]
The surface area is,
[tex]S = \int\limits^b_a {2\pi f(x) .\sqrt{1+(\dfrac{\pi }{3} \dfrac{ cos\pi x}{3})^2} }}} \, dx[/tex]
Substitute the value of f(x),
[tex]S = \int\limits^3_0{2\pi\dfrac{sin\pi x}{3} .\sqrt{1+(\dfrac{\pi }{3} \dfrac{ cos\pi x}{3})^2} }}} \, dx[/tex]
Suppose;
[tex]u = \dfrac{\pi }{3}cos\dfrac{\pi x}{3}dx\\\\\du =( \dfrac{-\pi }{3})^2 sin\dfrac{\pi x}{3}dx\\\\if \ x = 0, \ then \ u = \dfrac{\pi }{3}cos\dfrac{\pi (0)}{3} = \dfrac{\pi }{3}\\\\if \ x = 3, \ then \ u = \dfrac{\pi }{3}cos\dfrac{\pi (3)}{3} = \dfrac{\pi }{3}(-1)= \dfrac{-\pi }{3}[/tex]
Then,
[tex]S = \int\limits^3_0{2\pi\dfrac{sin\pi x}{3} .\sqrt{1+(\dfrac{\pi }{3} \dfrac{ cos\pi x}{3})^2} }}} \, dx\\\\S = 2\pi \int\limits^{\frac{-\pi}{3}}_ \frac{\pi }{3} (\dfrac{-9du}{\pi ^2})\sqrt{1+u^2} \ du\\\\S = 18\pi \times \dfrac{1}{\pi ^2}\int\limits^{\frac{-\pi}{3}}_ \frac{\pi }{3} \sqrt{1+u^2} \ du\\\\S = \dfrac{18}{\pi}\int\limits^{\frac{-\pi}{3}}_ {0} 2\sqrt{1+u^2} \ du\\\\\\[/tex]
Since,
[tex](\int\limits^a_{-a}{f} \, dx = 2\int\limits^a_0 {f} \, dx , \ f = \sqrt{1+u^2}\ is \ even)[/tex]
By applying the formula to solve the given integration,
[tex]\int {\sqrt{1+x^2} } \, dx = \dfrac{x}{2}\sqrt{1+x^2} + \dfrac{1}{2} \ ln(x+\sqrt{1+x^2})\\\\S = \dfrac{36}{2} [ \dfrac{u}{2} \sqrt{1+u^2} + \dfrac{1}{2} \ ln(u+\sqrt{1+u^2})}]^{\frac{\pi }{3}}_0\\\\[/tex]
[tex]S = \dfrac{36}{2} [ \dfrac{\dfrac{\pi }{3}}{2} \sqrt{1+\dfrac{\pi^2 }{9}} + \dfrac{1}{2} \ ln(\dfrac{\pi }{3}+\sqrt{1+\dfrac{\pi ^2} {9}}-0)]\\\\S = 6\sqrt{1+\dfrac{\pi ^2}{3}} + \dfrac{18}{3}\ ln (\dfrac{\pi }{3}+\sqrt{1+\dfrac{\pi ^2} {9}})[/tex]
Hence, The area of the surface is,[tex]S = 6\sqrt{1+\dfrac{\pi ^2}{3}} + \dfrac{18}{3}\ ln (\dfrac{\pi }{3}+\sqrt{1+\dfrac{\pi ^2} {9}})[/tex]
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Evaluate 12(20 - 17) - 3•6
A.18
B.205
C.1320
D.198
Answers
Answer:
A. 18
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
12(20 - 18) - 3(6)
Step 2: Multiply parenthesis
12(20 - 18) - 18
Step 3: Parenthesis
12(3) - 18
Step 4: Multiply
36 - 18
Step 5: Subtract
18
Which is a real world example of two planes intersecting?
Answers
One example is the idea of two parts of a book that open up. Each flat part is a plane and the two planes intersect along the spine of the book.
Another example would be a wall intersecting with the floor. Both are flat surfaces.
A third example would be a laptop's screen as one plane and the keyboard as the other plane. They intersect at the hinge of the laptop.
For each example, the surface has a finite amount of area and it doesn't extend forever in all four directions. Theoretically, a plane is where the flat surface extends in all four directions infinitely. Though of course, real life has limitations but the idea is still applicable in a way.
Note how for each example, the two planes intersect to form a line. Also, each plane must be flat without bending or curving in any way.
the temperature at 5:00 PM is 4 degrees. By midnight, the temperature had dropped 12 degrees. What was the temperature at midnight?
Answers
Answer:
-8 degrees
Step-by-step explanation:
4-12 = -8
It dropped 12 degrees in 7 hours.
Answer: -8°
Step-by-step explanation:
4 - 12
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answers
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
WILL GIVE BRAINLIEST IF YOU ANSWER CORRECTLY AND ASAP
What is the leading coefficient in the polynomial 5x - 6 + 3x2 ?
(HINT: The polynomial must be written in standard form)
6
5
3
-6
Answers
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answers
When given the base of and height of a triangle, you can use this formula:
[tex]area = \frac{1}{2} bh[/tex]
Plug in the known values:
[tex]area = \frac{1}{2} (18)(6)[/tex]
Solve:
[tex]area = \frac{1}{2} \times 108[/tex]
[tex]area = 54[/tex]
Add units:
[tex]area = 54cm^{2} [/tex]
Write a verbal expression for 3n-8
Answers
Answer: Pick anyone that suits you
8 is subtracted from 3 times a numberThrice a number minus 8Step-by-step explanation:
Answer:
[tex]\large \boxed{\mathrm{Eight \ subtracted \ from \ the \ product \ of \ three \ and \ a \ number.}}[/tex]
Step-by-step explanation:
[tex]\sf 3n-8[/tex]
n is a number.
8 is subtracted from the product of 3 and a number.
The verbal expression would be :
Eight subtracted from the product of three and a number.
Please I need help! ❤️
Answers
Answer:
8,0
8,-9
2,1
Step-by-step explanation:
It is always going to be the opposite.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
L(- 8, 0 ) → L'(8, 0 )
M(- 8, 9 ) → M'(8, 9 )
N(- 2, - 1 ) → N'(2, - 1 )
A.$454.75
B.$502.75
C.$327.75
D.$327.25
E.None of These
Answers
Answer:
D. 327.25
Step-by-step explanation:
You start out with a gross pay of $415.00. When you have a deduction from your gross pay, it means it gets subtracted. So subtract the deductions of 48, 31.25, and 8.50 from 415 and it leaves you with 327.25.
415 48-31.25-8.50 = 327.25
The problem is attached.
Answers
Answer:
Cosec θ = – 25/24
Step-by-step explanation:
From the question given, we obtained the following information:
Tan θ = – 24/7
Cosec θ =?
Tan θ is negative in the forth quadrant.
Please see attached photo.
Tan θ = Opposite /Adjacent
Opposite = – 24
Adjacent = 7
Hypothenus = x
Thus, we can obtain the value of x by using the pythagoras theory as illustrated below:
x² = (–24)² + 7²
x² = 576 + 49
x² = 625
Take the square root of both side
x = √625
x = 25
Next, we shall determine Sine θ. This can be obtained as follow:
Opposite = – 24
Hypothenus = 25
Sine θ = ?
Sine θ = Opposite /Hypothenus
Sine θ = –24/25
Finally, we shall determine the Cosec θ. This can be obtained as follow:
Cosec θ = 1 /Sine θ
Sine θ = –24/25
Cosec θ = 1 ÷ –24/25
Cosec θ = 1 × – 25/24
Cosec θ = – 25/24
which of the following expression has more than one term? t-t, 18, dz, or 4q
Answers
Answer:
t-t
Step-by-step explanation:
A computer outlet store receives a shipment of 2000 computer chips. The owner decides to randomly choose 36 chips and test them. (a) What is the population (actually the group of elementary units) in this study? (b) What is the sample? (c) If the 36 chips are all chosen from the top layer of the box of 2000 chips, is this a random sample? why or why not?
Answers
Answer:
a
The population is 2000
b
The sample is 36
c
No this is not a random sample
Step-by-step explanation:
From this question we are told that
A computer outlet store receives a shipment of 2000 computer chips
The number of unites chosen by the owner is n= 36
Generally the population for this statistical test is N = 2000
This is because the 2000 is the entire pool from which a statistical sample is drawn
Generally 36 is the sample because this is the number that will be statistically tested and its result will be generalized for every other element of the population
Now if the 36 chips are all selected from the top then the sample is not a random sample because in a sample each element of the sample have an equal likelihood of been selected from the population but in the case of the question each element are selected base it accessibility
Simplify 8 + 10a - 3 + 5a when a=3
Answers
Answer:
50
Step-by-step explanation:
8 + 10a - 3 + 5a when a=3
8+10(3)-3+5(3)=
8+30-3+15=
38+15-3=50
What’s 11 + 9/35 make sure answer is a mixed number
Answers
Answer: 11 9/35
Step-by-step explanation: just add the whole number to the fraction.
Answer & Step-by-step explanation:
[tex]11+\frac{9}{35}[/tex]
Add the whole number to the fraction:
[tex]11 \frac{9}{35}[/tex]
:Done
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 29 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
Answer:
x = 45°, y = 53°, z = 82°
Step-by-step explanation:
x is the first angle, y is the second, and z is the third.
The sum of the second and third, which is denoted by y + z, is 3 times the measure of the first, which is just x. So, we have:
y + z = 3 * x
Additionally, the third angle, z, is 29 more than the second, y, so:
z = 29 + y
We also know that the sum of the three is 180, so:
x + y + z = 180
Let's substitute y + z in the last equation with 3 * x:
x + y + z = 180
x + 3x = 180
4x = 180
x = 45
Now, we know that y + z = 3 * 45 = 135. We also know that z = 29 + y, so substitute 29 + y in for z in y + z = 135:
y + z = 135
y + (29 + y) = 135
2y + 29 = 135
2y = 106
y = 53
Finally, use this value of y to solve for z:
z = 29 + y
z = 29 + 53 = 82
Thus, the angles are x = 45°, y = 53°, and z = 82°.
~ an aesthetics lover
The diameter of a strand of rope is 1.2 × 10^ -3 inch. The diameter of a strand of floss is 2.0 × 10^ -4 inch. How much longer is the diameter of the strand of rope than the diameter of the strand of floss? A. 2.0 × 10^ -7 inch B. 1.0 × 10^ -7 inch C. 2.0 × 10^ -3 inch D. 1.0 × 10^ -3 inch
Answers
Answer:
D
Step-by-step explanation:
I answer this already. XD
Answer:
D
Step-by-step explanation:
sorry i needed these points XD
Provide two examples that show that all square roots are not irrational numbers ?
Answers
Answer:
[tex]\sqrt{4}, \ \sqrt{9} \text{ are rational numbers.}[/tex]
Step-by-step explanation:
Hello,
[tex]\sqrt{n^2}=n \ for \ n\geq 0\\\\\text{For instance}\\\\\sqrt{2^2}=2=\sqrt{4}\\\\\sqrt{3^2}=3=\sqrt{9}[/tex]
Water is not a liquid if its temperature is above 100 °C or below 0 °C.
0
40
80
120
160
Write a compound inequality to show the levels that are within the range described
above.
Answers
Answer:
[tex]0 \leq x \leq 100[/tex]
0, 40, and 80 are the values that work for this compound inequality.
Step-by-step explanation:
To create a compound inequality, we have to examine the conditions for [tex]x[/tex] to work.
Since [tex]x[/tex] can not be below 0° C, that means that [tex]x[/tex] must be greater than or equal to 0.
Which is represented as [tex]x\geq 0[/tex], or [tex]0\leq x[/tex].
Since [tex]x[/tex] can not be above 100° C, that means [tex]x[/tex] must be less than 100.
Which is represented as [tex]x \leq 100[/tex].
We can combine both inequalities into one, where [tex]x[/tex] is shared between the two. This creates [tex]0\leq x \leq 100[/tex].
Let's test each value of [tex]x[/tex] .
0 is equal to 0 and less than 100, so it works.
40 is greater than 0 and less than 100, so it works.
80 is greater than 0 and less than 100, so it works.
120 is greater than 0 and greater than 100, so it doesn't work.
160 is greater than 0 and greater than 100, so it doesn't work.
Hope this helped!
Which pair of numbers have a greatest common factor of 7? Select each correct answer. 21 and 3 7 and 14 28 and 7 7 and 1
Answers
Answer:
Hey there!
There are actually multiple answers.
7 and 14 have a GCF (greatest common factor) of 7, and so do 7 and 7.
Let me know if this helps :)
Answer:
answers are:
7 and 14
The factors of 7 is: 1, 7
The factors of 14 is: 1, 2, 7, 14
28 and 7
Factors of 28: 1, 2, 4, 7, 14, 28
Facotrs of 7: 1, 7
Step-by-step explanation:
others:
21, 3 is GCF is 3
The factors of 3 are: 1, 3
The factors of 21 are: 1, 3, 7, 21
7, 1 is GCF is 1
The factors of 1 are: 1
The factors of 7 are: 1, 7
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
Answers
Answer:
2 works
-3 is extraneous
Step-by-step explanation:
sqrt(x + 7) - 1 = x Add 1 to both sides
sqrt(x + 7) = x + 1 Square both sides
(x + 7) = (x + 1 )^2
x + 7 = x^2 + 2x + 1 Subtract x from both sides
0 = x^2 + x + 1 -7
0 = x^2 + x - 6 This will factor
(x + 3)(x - 2) = 0 Find the values for x
x + 3 = 0
x = - 3
x - 2 = 0
x = 2
Now you must check this to see if both values work
sqrt(-3 + 7) - 1 = -3
sqrt(4) - 1 = -3
2 - 1 =? - 3
1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2
sqrt(2 + 7) - 1 = 2
sqrt(9) - 1 = 2
3 - 1 = 2
2 = 2
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answers
Answer:
Step-by-step explanation:
x + x + 10 + 3x = 180
5x + 10 = 170
5x = 170
x = 36°
3(36)= 108° the largest angle
4/5 = 5/4 =
Your answer
Answers
Answer:
not equal
Step-by-step explanation:
Answer:
4/5 is not equal to 5/4.
4/5 x 4 = 16/20
5/4 x 5 = 25/20
25/20 > 16/20
The formula for the area of a triangle is a=1/2bh . If the base of the triangle is 6x units and has a height of x+3, write a simplified algebraic expression for the area of the triangle in terms of x
Answers
Answer:
a = 3x^2 +9x
Step-by-step explanation:
Put the given dimensions in the formula and simplify. The distributive property is useful.
a = (1/2)bh
a = (1/2)(6x)(x+3) = 3x(x +3)
a = 3x^2 +9x
Write an algebraic expression for the phrase.
the product of d and 4
Answers
d x 4 = 4d
why?:
the product means multiplication. d is unknown, but also 1d because there is no number before. therefore when you multiply d and 4, you get 4d.
An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.
The expression for the product of d and 4 is d x 4.
What is an expression?An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.
Example:
3 added to 2 will be 3 + 2.
4 times 3 is 4 x 3.
4 less than 6 is 6 - 4.
We have,
The product of d and 4.
This can be written as:
= d x 4
Thus the expression for the product of d and 4 is d x 4.
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consider the ratio of 153 per 108. write this ratio in different forms. a ratio written as a reduced fraction and as a decimal rounded to the hundredths.
Answers
Answer:
153:108
1.42
1 [tex]\frac{5}{12}[/tex]
1.42 is the approximate value of the ratio [tex]\frac{153}{108}[/tex].
What is the ratio?The ratio is the number of times one value contains or is contained within the other in a quantitative relationship between two numbers.
What is the required answer?The ratio of 153:108 is given.
Other forms of the ratio are
[tex]\frac{153}{108}=\frac{17}{12}[/tex]
[tex]=1.41666...\approx 1.42[/tex] (rounded to the hundredth place.
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