If =x/y=5/8
then x/5=
[tex]\dfrac{x}{y}=\dfrac{5}{8}\Big|\cdot\dfrac{y}{5}\\\\\dfrac{x}{5}=\dfrac{y}{8}[/tex]
Answer:
x/5 = y/8
Step-by-step explanation:
x 5
----- = -------
y 8
Using cross products
8x = 5y
Divide each side by 8
x = 5/8 y
Divide each side by 5
x/5 = y/8
Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.
Answer:
well just do area, and since it's the same in each side 12×4= 144
what are co prime numbers
Answer:
A set of numbers or integers which have only 1 as their common factor are called co prime numbers.Answer: In number theory, two integers a and b are said to be relativley prime or co prime, if the only positive integer (factor) that divides both of them is 1.Consequently, any prime numbers that divides one does not divide the other.
Step-by-step explanation:
If the geometric mean of a and 15 is 9√15, find the value of a.
factorise 9a^2-b^2??
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▹ Answer
3² * a² - b²
▹ Step-by-Step Explanation
9a² - b²
Break down each coefficient and variable:
9 = 3²
a² = a²
b² = b²
Combine everything together:
3² * a² - b²
Hope this helps!
CloutAnswers ❁
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Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=[a+b][a-b] where a=3a and b=b
Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?
Answer:
1176in^2
Step-by-step explanation:
find the surface area of the cube
(14*14)6=1176 inches cubed
14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are
Answer:
[tex]\large\boxed{1,176 in^{2} }[/tex]
Step-by-step explanation:
The cube is 14 inches tall
All of the sides in a cube are the same, which means:
Length = 14 inches
Width = 14 inches
Height = 14 inches
There are 6 sides in a cube. Each side has a length and a width.
We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.
SA = # of Sides(Length(Width))
Plug in known values
SA = 6((14)(14))
The 14s represent the length and width while the 6 represents the number of sides in the cube.
Solve/Simplify
SA = 6(196)
SA = 1,176 inches²
Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.
Hope this helps :)
A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. No, because the multiplication counting rule would be used to determine the total number of combinations. B. Yes, because the combinations rule would be used to determine the total number of combinations. C. No, because factorials would be used to determine the total number of combinations. D. No, because the permutations rule would be used to determine the total number of combinations.
The correct answer is D. No because the permutations rule would be used to determine the total number of combinations.
Explanation:
The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =[tex]\frac{n!}{(n-r) !}[/tex]; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.
Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negative 6 x minus 1 y = 6 x minus 1
Answer:
[see below]
Step-by-step explanation:
Finding the slope of the two points:
[tex]m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}[/tex]
The slope is -6.
Using an incomplete slope-intercept form equation to find the y-intercept:
[tex]y=6x+b\\\\-5=6(1)+b\\\\-5=6+b\\\\-5-6=6-6+b\\\\\boxed{1=b}[/tex]
The equation for the line passing the points is [tex]y=-6x+1[/tex].
The equation in standard from would be [tex]6x+y=1[/tex].
How to do this question plz answer me step by step plzz plz
Answer:
[tex] \boxed{\sf Perimeter \ of \ semicircle = 3 \pi \ cm} [/tex]
Given:
Radius of semicircle (r) = 3 cm
Step-by-step explanation:
[tex]\sf Perimeter \ of \ semicircle = \pi r [/tex]
[tex] \sf = 3 \pi \: cm[/tex]
help me plz plz....
Answer:
4775.9 [tex]cm^3[/tex]
Step-by-step explanation:
To find the volume of a cone use the expression [tex]\pi r^2\frac{h}{3}[/tex]
r = radius
h = height
Now substitute h for 27 and r for 13, [tex]\pi 13^2\frac{27}{3}[/tex]
First do 13 x 13 (because of the exponent), then divide 27 and 3, which is 9
169 x 9 = 1521
Lastly multiply by pi or use 3.14
1521 x 3.14 = 4775.94
Since it asks to round to the tenth it is just 4775.9
Answer:
4778.4 cm^3
Step-by-step explanation:
The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3} \\[/tex].
In this case, the height is 27 and the radius is 13, so we plug in the values and get [tex]V = \pi (13)^2 \frac{27}{3}\\[/tex].
We solve and get the volume of the cone as [tex]1521\pi[/tex] or 4778.4 cm^3.
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x > 0 and y < 0 Quadrant I Quadrant II Quadrant III Quadrant IV none of these
Answer:
Quadrant IV
Step-by-step explanation:
If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:
x is greater than 0, so all possible values are positive
y is less than 0, so all possible values are negative
(x,-y)
Following are the description of the wrong choice:
In the first Quadrant, (x,y) both -axis values are positive that's why it is wrong.In the second Quadrant, the x-axis has a negative value and the y-axis has a positive value that's why it's wrong.In the third Quadrant, (x,y) both -axis has the negative value that's why it is wrong.That's why the "Quadrant IV" is the correct answer.
Learn more:
quadrant: brainly.com/question/7196054What is 51⁄6 as an improper fraction? For Seneca Learning:
Answer:
Step-by-step explanation:
[tex]5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}[/tex]
Answer:
31/6 (improper fraction).
Step-by-step explanation:
5 1/6 = (6 × 5) + 1/6 = 31/6
31/6 is the improper fraction.
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
how many quarts make 5 gallons
Answer:
4 quarts
Hope it helps!
Step-by-step explanation:
Answer: 5 gallons= 20 quarts
1 gallon = 4 quarts
Solve for x. 5x-4 > 12 OR 12x+5 <-4
Answer:
x > 16/5 or x < -3/4
Step-by-step explanation:
Equation 1: 5x - 4 > 12
Equation 2: 12x + 5 < -4
Equation 1: 5x - 4 > 12
add 4 to both sides
5x > 16
divide by 5 on both sides
x > 16/5
Equation 2: 12x + 5 < -4
subtract 5 on both sides
12x < -9
divide by 12 on both sides
x < -9/12
simplify
x < -3/4
three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination
Answer:
Alice will have to pay $13.33
Ben will have to pay $23.33
Kelvin will have to pay $43.33
Step-by-step explanation:
Given that
Alice destination is 20 miles away
Ben destination is 30 miles away
Calvin destination is 40 miles away.
For a mile, taxi costs 2 dollars.
To find:
How much each person has to pay if they share the same taxi to their respective destinations?
Solution:
For the first 20 miles, the taxi will be shared by all 3 of them.
Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40
This $40 will be shared among all 3.
Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33
Charges for Calvin = $13.33
For the next 10 miles, the taxi will be shared by Ben and Calvin.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be shared between Ben and Calvin.
Each will pay = [tex]\frac{20}{2} = \$10[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33 + 10 = $23.33
Charges for Calvin = $13.33 + 10 = $23.33
For the next 10 miles, Calvin travels alone.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be paid by Calvin alone.
Charges for Alice = $13.33
Charges for Ben = $23.33
Charges for Calvin = $23.33 + 20 = $43.33
Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
51°
54
47
75°
98°
82
?
105
28
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
Solve using quadratic formula.
1.)5x^2+13x=6
2.)3x^2+1=-5x
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Answer:
1. 2/5,-3 2. [tex]x=\frac{-5+-\sqrt{13} }{6}[/tex]
Step-by-step explanation:
i used the quadratic formula to find x also please note that 2 has 2 answers bc of the +- beofre the sqrt of 13
Step-by-step explanation:
1).5x² + 13x - 6 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a = 5 , b = 13 c = - 6
We have
[tex]x = \frac{ - 13± \sqrt{ {13}^{2} - 4(5)( - 6) } }{2(5)} [/tex]
[tex]x = \frac{ - 13± \sqrt{169 + 120} }{10} [/tex]
[tex]x = \frac{ - 13± \sqrt{289} }{10} [/tex]
[tex]x = \frac{ - 13±17}{10} [/tex]
[tex]x = \frac{ - 13 + 17}{10} \: \: \: \: \: or \: \: \: \: x = \frac{ - 13 - 17}{10} [/tex]
x = 2/5 or x = - 32).3x² + 5x + 1 = 0
a = 3 , b = 5 , c = 1
[tex]x = \frac{ -5 ± \sqrt{ {5}^{2} - 4(3)(1)} }{2(3)} [/tex]
[tex]x = \frac{ - 5± \sqrt{25 - 12} }{6} [/tex]
[tex]x = \frac{ - 5± \sqrt{13} }{6} [/tex]
[tex]x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6} [/tex]
Hope this helps you
- 3 1/2 ( - 12 1/4 )
plz answer this asap
Answer:
50%
Step-by-step explanation:
Melissa put her $500 In a savings account that earns 4% interest compounded annually. How much will be in the account after 3 years? Round your answer to the nearest hundredth
Work Shown:
A = P*(1+r/n)^(nt)
A = 500*(1+0.04/1)^(1*3)
A = 562.432
A = 562.43
Answer: $562.43
Step-by-step explanation:
The initial start up amount is 500 and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.
So 100% + 4 % = 104% = 1.04
The common difference is 1.04.
so 500 * 1.04^n= A where n is the number of years and A is the total amount.
A = 500 * [tex]1.04^{3}[/tex]
A= 562.43
the 8th term of an arithmetic progression is 5 times the 3rd term while the 7th is greater than the 4th term . write the first five term of the arithmetic progression.
Answer:
the terms of any of the 2 terms should have been given
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
11 shots
Step-by-step explanation:
60% of 18 = 10.810.8 rounded = 11Why we did this:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.So therefore, Owen made 11 of 18 shots he attempted.
Owen attempted 11 shots during the hockey practice.
Number of shots attempted by Owen = 18
Percentage of shots made = 60%
Then, the number of shots made will be calculated as:
= Percentage of shots made × Number of shots attempted
= 60% × 18
= 60/100 × 18
= 0.6 × 18
= 10.8 shots
= 11 shots approximately
In conclusion, Owen made 11 shots
Read related link on:
https://brainly.com/question/18298965
HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope of the line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
which of the following are remote interior angles of <6? check all that apply
Answer:
C. <3, E. <1
Step-by-step explanation:
A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.
A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.
<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.
The other two interior angles of the triangle are <1 and <3.
<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.
Answer: <1, <3
in the equation z=x^2-3y, find the value of z when x=-3 and y=4
Answer:
z=-3
Step-by-step explanation:
z=(-3)^2 - 3(4)
z=9 - 12
z=-3
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
kinda confused buttttt anyone know this?
Answer:
Hey there!
The overlapping part is the product.
Thus, the product is 1/8.
Hope this helps :)
solve for x 7(3-x) = 8(4-2x)
Answer:
x = 11/9
Step-by-step explanation:
Eliminate parentheses, add 16x, subtract 21.
7(3 -x) = 8(4 -2x) . . . . given
21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property
9x +21 = 32 . . . . . . . . add 16x
9x = 11 . . . . . . . . . . . . subtract 21
x = 11/9 . . . . . . . . . . . .divide by the coefficient of x
-5(-x - 1) + 4x – 1= 49
solve for x
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
Answer:
[tex]\huge \boxed{x=5}[/tex]
Step-by-step explanation:
[tex]{\Large -5(-x - 1) + 4x -1= 49}[/tex]
Expand brackets.
[tex]5x+5+ 4x -1= 49[/tex]
Combine like terms.
[tex]9x+4=49[/tex]
Subtract 4 from both sides.
[tex]9x+4-4=49-4[/tex]
[tex]9x=45[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{45}{9}[/tex]
[tex]x=5[/tex]
