Answer:
x=-18/76
Step-by-step explanation:
4×4x/4x+3/4x=5/6
or,96x+18=20x
or,76x=-18
:x=-18/76 ans...
Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?
Answer:
10,800
Step-by-step explanation:
9,000+ 20%= 10,800
Use the distance formula to show that the two triangles on the coordinate plane are congruent
Answer:
Step-by-step explanation:
d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} - y_{1} )^2}[/tex]
A(- 5, - 2) , B( - 1, - 6) , C ( - 9, - 6)
AB = √[(- 5 + 1)² + (- 2 + 6)²] = 4√2
BC = √[(- 1 + 9)² + (- 6 + 6)²] = 8
AC = √[(- 5 + 9)² + (- 2 + 6)²] = 4√2
D(2, 2) , E(6, - 2) , F( 10, 2)
DE = √[(2 - 6)² + (2 + 2)²] = 4√2
EF = √[(6 - 10)² + (- 2 - 2)²] = 4√2
DF = √[(2 - 10)² + (2 - 2)²] = 8
ΔABC ≅ ΔEDF
The two triangles ABC and DEF are not congruent by SSS.
What is the distance formula between two points?The distance formula between two points is,
[tex]D = \sqrt{(x_2 - x_1_)^2 + (y_2 - y_1)^2[/tex].
Two triangles will be congruent by SSS is the distance of their corresponding sides are equal.
In ΔABC coordinates of A and B are (-5, - 2) and (-1, - 6).
[tex]D_{AB} = \sqrt{(- 1 + 5)^2 + (- 6 + 2)^2}[/tex].
[tex]D_{AB} = \sqrt{(4)^2 + (-4)^2[/tex].
[tex]D_{AB} = \sqrt{(16) + (16)[/tex].
[tex]D_{AB} = \sqrt{32}[/tex].
Similarly, the distance of DF in ΔDEF is [tex]\sqrt{64}[/tex].
hence AB ≠ DF so the triangles are not congruent.
learn more about the distance formula here :
https://brainly.com/question/28956738
#SPJ5
The length of a rectangle is 3 times its width the perimeter is 92 cm find the area
Answer:
The length of a rectangle is 3 times its width.
The perimeter is 92 cm.
Length --> x
Width --> 3x
Area of the rectangle --> y
so
3x·x = y
2(3x)+2x = 92 --> 6x + 2x = 92 -> 8x = 92 --> x =11.5 cm
so
y = 3(11.5)·11.5
y = 396.75 cm²
THE AREA IS 396.75 cm²
Answer:
Step-by-step explanation:
Let Width of rectangle =X
So length of rectangle =3x
Perimeter of rectangle=92
Perimeter of rectangle =2(length +width)
2(length+width)=92
2(3x+X)=92
8x=92
X=92/8
Width X=11.5cm
So length 3x=11.5×3
=34.5cm
Area of rectangle =34.5×11.5
=396.75cm^2
Let sets A and B be defined as follows.
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
(a) Find the cardinalities of A and B.
n(A) = ? n(B)= ?
(b) Select true or false.
True
False
-6E A
-14 EA
k E B
Q E B
The E is the signal used not the actual letter E
Answer:
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
Step-by-step explanation:
Given
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
For set A:
The integers greater than -7 will be -6,-5 ....
As the set has integers less than -3, the set will be:
[tex]A = \{-6,-5,-4\}[/tex]
Cardinalities:
Cardinality is the number of elements in the set.
So,
[tex]n(A) = 3\\n(B) = 6[/tex]
Now for the statements:
-6 ∈ A True as -6 is a member of set A
-14 ∈ A False as -14 is not a member of A
k ∈ B True
Q∈B False
Hence,
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
Can someone please answer this, I need help?
it cost 13.80 for 5 tickets how much would it cost for 3 tickets
Answer:
$8.28
Step-by-step explanation:
So, first we must find the price per ticket so we do
13.80/5 = 2.76
So the $2.76 per ticket
So now all we do to find the price of three tickets we times the price per ticket by 3
2.76 x 3 = $8.28
Apples cost $0.75 per pound and bananas cost $1.05 per pound.
A baker bought a total of 12 pounds of apples and bananas for $10.20.
The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.
How many pounds of each did the baker buy?
Which expressions are equivalent to 4 • (7 • y)
Answer:
4(7)+4(y)
4(y·7)
4(3+4)+4(y)
Step-by-step explanation:
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{Which\ expressions\ are\ equivalent\ to\ 4\times(7\times y)?}[/tex]
[tex]\downarrow\textsf{Your steps on how to solve for your answer}[/tex]
[tex]\mathsf{4\times(7\times y)}\\\mathsf{7\times y=7y}\\\mathsf{4(7y)=28y}[/tex]
[tex]\boxed{\boxed{\huge{\text{{Thus your answer is: \boxed{\boxed{\huge\text{\bf{28y}}}}}}}}}\huge}\checkmark[/tex]
[tex]\textsf{We can flip the equation around and that can be another answer}[/tex]
[tex]\boxed{{\mathsf{(\bf{7\times y)\times4}}}} \checkmark[/tex]
[tex]\boxed{\mathsf{\bf{(4\times 7) y}}}\checkmark[/tex]
[tex]\mathsf{Thus, your\ answers\ are:\boxed{ \boxed{\bf{28y} ;\ \ (4\times 7) \timesy\times y; \ \& \ (7\times y) \times 4 }}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
22. Find the slope and Y intercept of the line 3x+4y-9=0
hi there! here's my answer for you...
Answer:
slope:
m = -3/4
y-intercept:
y = −3x/4 + 9/4
hope this helped. have a good one!
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will the faucet leak 48 hours
Answer:
20 gallons
Step-by-step explanation:
First start off by dividing 48 by 12 to see how many times 12 goes into 48.
48 / 12 = 4
now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.
4 x 5 = 20
therefore the answer is 20 gallons
I hope this helps ^^
A right triangle is shown below.
What is the value of x rounded to the nearest ten, if necessary?
Answer:
hmmmmm.... i'm only in 7th grade and to be honest i don't really know but i'll try on this. am i going to be doing this this year?
So from my logic in my empty brain: 4.2?
Step-by-step explanation:
Because i flipped the pic around and so ,
First i got "x" in my brain and turned it into 9 from 8.5
then 9 divided by 8.5
wait a sec i just realized i made the most dumb mistake by dividing welp i'll just put out what i just fixed in my head and yea here ya go.
B+ for effort ?
Z- for iq?! .-.?
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Answer:
24 degrees
Step-by-step explanation:
If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.
7+17=24
Determine the solution set of (3x - 5)2 = 36.
{-1/3, 11/3}
{11/3}
{-6, 6}
Answer:
[tex]the \: solution \: set \:is \to \{{-6, 6} \}[/tex]
These reverse processes are both part of
Answer:
you forgot the picture
Step-by-step explanation:
Please put a picture
Could you please help me
Answer:
4 3/4
Step-by-step explanation:
cueluisghvreiuasghfe;ahfuiealw
Answer:
Step-by-step explanation:
[tex]4\frac{3}{4}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]4\frac{9-4}{12}[/tex] = [tex]4\frac{5}{12}[/tex] feet
I need help I don’t know this help
simplify
y = -1x - 1
pls hurryyyyyyy
A new truck costing $60,000 with a residual value of $6,000
Sara invested $1,500 in a bond at a simple at a simple interest rate of 3%
Answer: N/A
Step-by-step explanation:
We need more info
Which relation is a function?
help please I’m struggling badly because Im sooo bad at math
Answer:
40˚ degrees
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5
Answer:
[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]
Step-by-step explanation:
-3y=5-6x
y=5-6x÷(-3)
y=(-5/3)+2x
y=2x-(5/3)
At y-intercept x is 0 and y is -(5/3)
Gradient m=10-(-5/3)÷(4-0)
=35/12
y=mx+c
10=(35/12)4+c
c=-(5/3)
Answer:
y = [tex]-\frac{1}{2}[/tex]x + 12
Step-by-step explanation:
Given expressions:
Coordinates = (4,10)
Equation of the line; 6x - 3y = 5
Unknown:
Equation of the line perpendicular = ?
Solution:
A line perpendicular to the given one will have a negative inverse slope.
Equation of any given line is expressed as:
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;
6x - 3y = 5
-3y = 5- 6x
y = [tex]-\frac{5}{3}[/tex] + 2x
The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]
Also, let us find the y-intercept, c;
y = mx + c
10 = [tex]-\frac{1}{2}[/tex] x 4 + c
10 = -2 + c
c = 12
The equation of the new line is ;
y = [tex]-\frac{1}{2}[/tex]x + 12
A copy machine can print 48 copies every 4 minutes. A teacher printed 72 copies how long did it take to print
Answer:
6 minutes
Step-by-step explanation:
72-48 = 24
so 24 + 48 = 72
and 48 / 4=12
which means 12 copies per minute and 24 copies is 2 minutes
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
0.075
Step-by-step explanation:
Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation:
The local gym is charging a flat fee of $10 per month to be a member. Each time you go to the gym you are charged $3. What equation would represent
how much you paying total for the month if x is equal to the number of times you go to the gym?
what does x equal in the equation f(x)=17
equation of the line with slope 1/2 that passes through the point
(-6, 1).
O 1
y = 2x - 4
v
О
1
y=2x-
-5
W
o
y = 2x + 5
-x
О 1
y = 2*+4
Step-by-step explanation:
let eqn be y = 1/2x + b
sub (-6, 1):
1 = 1/2(-6) + b
b = 4
therefore, eqn is y = 1/2x + 4
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
15 POINTS
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 10 : 45
B. 30 : 54
C. 6 : 10
D. 27 : 15
explanation if you know how to explain
Answer:
The answer is B
Step-by-step explanation:
The problem is asking for the same ratio as 5:9
Multiply both sides by 6 to get 30:54
Answer the question in the picture please!!
Answer:
Step-by-step explanation:
take the 142 degree angle and subtract it from 180 to find value of angle n, you will get 38. then you add 38 and 90 together to get 128. Since all angles of a triangle add up to 180. You subtract 128 from 180 to get 52.
Angle M = 52
Angle L = 90
Angle N = 38
Angle LNM = 180