[tex] - 12 = x + \frac{8}{ - 3} [/tex]
[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]
[tex] - 12 - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36 - 8}{3} = x[/tex]
[tex] \frac{44}{3} = x[/tex]
In a city the ratio of people who live in flats to the number that live in terraced houses is 3:2. The ratio of people who live in detached houses to terraced houses is 1:4. What is the ratio of people that live in flats:terraced houses:detached houses in its simplest form?
Answer:
1/2
Step-by-step explanation:
Answer:
8:12:3
Step-by-step explanation:
Flats:Terraced is 2:3
Detached:Terraced is 1:4
First make the Terraced the same.
Flats:Terraced is 8:12
Detached:Terraced is 3:12
Terraced:Detached is 12:3
Now that we know, we can combine it.
Flats:Terraced:Detached is 8:12:3
Hope this helps :D
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
This question is incomplete, the remaining part of the question is upload as an image alongside this answer.
Answer:
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
Step-by-step explanation:
From the Figure on the image; lets consider the circle of radius r, centered at the origin.
let ABCD be the largest rectangle that can be inscribed inside the circle.
Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,
half height of rectangle y = √(r² - x²)
Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)
thus the area of the inscribed rectangle = length × width
⇒ A(x) = 2x(2√(r² - x²))
⇒ A(x) = 4x√(r² - x²)
now in order to maximize the area, we find critical points.
so we find the derivative and set that zero, that is Ai(x) = 0.
so using product rule, we get
A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²) )
A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²) )
Now for critical points, set A'(x) = 0
so
( -4x² / √(r² - x²) ) + ( 4√(r² - x²) ) = 0
( 4x² / √(r² - x²) ) = ( 4√(r² - x²) )
x² = r² - x²
2x² = r²
x² = r²/2
x = ±√(r²/2)
Now since x represent the with, it cannot be negative, Thus
x = r/√2
hence
y = √(r² - x²) = √(r² - r²/2) = √(r²/2) = r/√2
Therefore, the dimensions of the rectangle of largest area will be;
Width = 2x = 2( r/√2 ) = √2 r units
Height = 2y = 2( r/√2 ) = √2 r units
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
ОО
True
Answer:
Concept: Linear Systems
False, the slope should be 2x not 2y.Belinda's dog had a litter of puppies. She is selling the puppies for $200 each. After 2 weeks, Belinda has 3 puppies left so she decides to reduce the sale price to $150 each. What is the percent decrease in price?
ps this is middle school 7th grade
Answer:
4,900
Step-by-step explanation:
Because i just know
Answer: 25%
Explanation:
1. Turn it into a fraction 150/200
2. Divide numerator (150) by denominator (200) to get 0.75
3. Subtract 0.75 from 1 to get 0.25
4. Turn 0.25 into a percentage by simply taking away the “0.” and adding a “%” at the end (25%)
find the length of AB
Answer:
55?
Step-by-step explanation:
........................
Answer:
AB=55
Step-by-step explanation:
9x+1=7x+13
2x=12
x=6
9x+1=9(6)+1
55
Find each unit rate. Determine which is lower.
Brand A: 240 mg sodium for 1/3 pickle
or Brand B: 325 mg sodium for 1/2 pickle
Answer:
Brand A
Its easy
Mark as Brainliest.
Because I am Indian and solving your question from India.
A circle centered at the origin has a radius of 5 units. The terminal side of an angle, , intercepts the circle in Quadrant 3 at point D. The x-coordinate of point D is -3, what is the value of sin θ?
Answer:
Step-by-step explanation:
add then subtact D from 3
what's six tenths divided by seven
Answer:
3/35
Step-by-step explanation:
i giveeee brainlilster
Answer:
84
Step-by-step explanation:
Set up a proportion. The ratio number of gray mice corresponds (is across from) the total number of gray mice (24)
5/2 = x/24 Cross multliply
2*x = 5*24 Multiply 5 by 24
2x = 120 Divide by 2
x = 120/2
x = 60 Which represents the number of white mice.
So the white mice + gray mice = 60 + 24 = 84
6c-9d=111 5c-9d=103
how to solve this problem
Answer:
it is a simultaneous equation.
the -9d can be cancelled to find the answer
The requried solution of the given system of equations is c = 8 and d = -7.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given a system of equations,
6c-9d=111 - - - - - (1)
5c-9d=103 - - - - -(2)
Solving the above two equations,
by subtracting 2 from 1|
c = 111 - 103
c = 8
Now,
6(8) - 9d = 111
d = - [111 - 48] / 9
d = -63 / 9
d = -7
Thus, the requried solution of the given system of equations is c = 8 and d = -7.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
= A triangle has sides of lengths 18, 24 and 30 units. What is the length of the shortest
altitude of this triangle? Express your answer as a common fraction.
Answer:
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=
s(s−a)(s−b)(s−c)
where
s=
2
a+b+c
For the given triangle,
a=18 cm
b=24 cm
c=30 cm
s=
2
18+24+30
=36
A=
36(36−18)(36−24)(36−30)
A=
36×18×12×6
A=
216×216
=216 cm
2
Smallest side =18 cm
Area of the triangle =
2
1
×base×altitude=216
2
1
×18× altitude=216
Altitude =
9
216
=24 cm
Step-by-step explanation:
hope this will help
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}[/tex]
Step-by-step explanation:Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.
[tex]\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}[/tex]
Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .
[tex]\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} [/tex]
[tex]\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}[/tex]
[tex]\bf \implies Area = \sqrt{ 36 \times 18 \times 12} [/tex]
[tex]\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} [/tex]
[tex]\bf \implies Area = 6^2\sqrt{6} unit^2 [/tex]
[tex]\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} [/tex]
Also we know that ,
[tex]\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}[/tex]
Let's find the altitudes now ,
Altitude on side of 18 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }[/tex]
Altitude on side of 24 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }[/tex]
Altitude on side 30 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }[/tex]
Hence the lenght of shortest altitude is 2.4√6 units and its on the side of 30 units.solve:
5 x 1/8 thanks
Step-by-step explanation:
5/8 binod
be happy binod here's ur answer binod
Answer:
5/8
Step-by-step explanation:
Which function represents exponential decay with 5% as the rate of decrease?
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
X < -5. Help me agggg
Answer:
what do you need help with the answer is going to be anything under -6 for example -7, -8, -9, -6.5 something along those lines
Step-by-step explanation:
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
Answer:
2
Step-by-step explanation:
20/10=2
The answer is:
30 seconds!
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
d = 50t
Step-by-step explanation:
In the table, the values across from each other are equivalent.
[tex]\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}[/tex]
By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:
d = 50t
The correct answer choice is d = 50t, or the 4th option.
Let me know if you have any questions!
joe is selling sweatshirts for 20% off the regular price of $25.00.
First term: 2 3/4 sixth term: 3 7/12 what is the rule
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
8 minus the sum of 5 and 43 divided by 8
helpppppp
it's not -5 i tried did not work
HELPPP
And its not 8.375
Answer:
-2.375
Step-by-step explanation:
43/8=5.375
5+5.375=10.375
8-10.375=-2.375
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
The point (-7, 4) is reflected over the line x= -3. Then, the result point is reflected over the line y = x. Where is the point located after both reflections?
A. (-10, 7)
B. (1, 4)
C. (4, -7)
D. (4, 1)
Answer: D. (4, 1)
Step-by-step explanation:
When we have a reflection over a line, the perpendicular distance to that line is invariant.
Then, if we have the point
(-7, 4) and we have a reflection over the line x = -3
The distance between the x component and the line is:
I -7 - (-3)I = 4
Then the reflected point will also be at a distance of 4 units to the line x = 3, and this is at the point x = 1.
Then the new point is (1, 4)
Now we do a reflection over the line x = y.
This type of reflection just changes the x-component by the y-component, and the y-component by the x-component.
Then the new point will be (4, 1)
Then the correct option is D.
need the answer !!! pls
Answer:
i guess its b and d
Step-by-step explanation:
-2+2=0
Answer:
option B is correct
B and D
because B is -2 and D is 2
to make 0
we can combined that 2numbers then we got -2+2=0
Step-by-step explanation:
hope my answer is helpful to you
DUE AT 8:15 I NEED THE ANSWER NOW
Answer: 47 inches
Step-by-step explanation:
Let x = length of the shortest piece
188 inches = 3x + x
188 inches = 4x
47 inches = x
Answer:
The shorter piece is 47 unches long
Step-by-step explanation:
l + s = 188
l = 3s
3s + 3 = 188
4s = 188
4s/4 = 188/4
s = 47
l = 3s
l = 3(47)
l = 141
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school.
How long does it take Andre to walk to school?
please help!
The time, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this
equation
t = va
Which equation expresses din terms of tanda?
OA d = 2at?
OB.
OC. d =
= VA
OD. d = 1
Answer:
[tex]d=\dfrac{t^2}{a}[/tex]
Step-by-step explanation:
The time in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t = va
We need to find the expression for d in terms of t and a.
As velocity = distance/time
[tex]t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}[/tex]
So, the distance d is [tex]\dfrac{t^2}{a}[/tex].
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
i can give a better answer if you give the recipe but for 24 pancakes its double and for 6 pancakes is half
What should be added to 8 to make them sum 0
Answer:
-8
Step-by-step explanation:
if you add negitive 8 to 8 then the sum will be 0
Answer:
-8
Step-by-step explanation:
when you add a negative number your basically subtracting its absolute value.
Tom and Diane start to race. Tom takes 4 seconds to run 25 yards. Diane runs 20 yards in 3 seconds.
1. who runs faster? Explain how you know.
Answer:
Diane is faster since her speed is higher.
Step-by-step explanation:
We can find each speed in yards per second.
Tom:
25 yards / 4 seconds = 6.25 yards/second
Diane:
20 yards / 3 seconds = 6.67 yards/second
Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.
Answer: Diane is faster since her speed is higher.
4\7 equivalent fraction
Answer:
Hope it helpsssssss
Step-by-step explanation:
4/7, 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70, and so on