Using proportions, it is found that:
Each director gets 6000.Each employee gets 500.What is a proportion?A proportion is a fraction of a total amount.
In this problem, the directors share one-third of the profit, hence:
18000/3 = 6000
6000/2 = 3000.
That is, each director gets 6000.
The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:
12000/24 = 500
Each employee gets 500.
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A toy car launches off a ramp with a height of 6 feet with an upward velocity of 10 feet per second. The function h = -16t^2 +10t +6 gives the height in feet of the car after t seconds. After how many seconds does the car land on the ground?
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
Solving quadratic functionsQuadratic functions are functions having a leading degree of 2.
Given the function height in feet of the car after t seconds expressed as
h = -16t^2 +10t +6
The height of the car on the ground is zero, hence:
16t^2 -10t -6 = 0
8t^2 - 5t - 3 = 0
Factorize the quadratic function
8t^2 - 5t - 3 = 0
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
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Please someoene help me I am so confused
WILL GIVE BRAINLIEST
Answer: 42.0
Step-by-step explanation:
What is the angle of rotation for point G mapped to point H?
90° clockwise
72° clockwise
72° counterclockwise
90° counterclockwise
The rotation of point G to point H is an illustration of a circular movement
The rotation that maps point G to point H is 72 degrees clockwise
How to determine the rotation rule?From the figure, we have the following parameters:
Number of sections (n) = 5
Angle at the center = 360
The angle of rotation is then calculated as:
Rotation = 360/5
Evaluate
Rotation = 72
Point H is to the left of point G.
This represents a clockwise direction
Hence, the rotation that maps point G to point H is 72 degrees clockwise
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Answer:
72° clockwise
Step-by-step explanation:
Which is the solution to the inequality?
y + 15 less-than 3
Hey there!
"less than" is "<"
y+15<3
Solve it:
y<3-15
y<-12
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
y < -12
Step-by-step explanation:
Edge
Marvin is saving $5.25 a week to buy a new video game that costs 69.15. How many
weeks will he have to save to buy the game?
Answer: 10.62 irrational
Step-by-step explanation: You can divide 69.15 by 5.25 which equals 74.4 then divide by 7 which equals 10.62
What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.
The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
The given expression is: [tex]2x^{2} +3x-54[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can rewrite the given expression as:
[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)
Take 2 as common from first two terms while take -9 as common from last two terms.
[tex]2x(x+6)-9(x+6)[/tex]
Take (x+6) as common
[tex](x+6) (2x-9)[/tex]
So, we got the factors (x+6) and (2x-9)
Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
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Which sport shows the greatest variability in players’ heights? which sport shows the least variability?
Determine
the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Answer:
-90 degrees counter clock wise
Step-by-step explanation:
it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.
solve pls brainliest
Answer:
[tex] 1 \frac{2}{3}\: liters [/tex]
Step-by-step explanation:
[tex]V_{soda}[/tex] in one bottle = 5/9 liters
No of bottles = 3
Total volume of soda
[tex] = \frac{5}{9} \times 3 \\ \\ = \frac{5}{3} \\ \\ = 1 \frac{2}{3} \: liters[/tex]
Pease help me
I will give BRAINLY
THANKS FIVE STARS
Answer:
23, 25, 27, 29
Step-by-step explanation:
14*2 = 28, 28-5=23
15*2=30, 30-5=25
16*2=32, 32-4=27
17*2=34, 34-5=29
[tex]14 \times 2 - 5[/tex]
[tex]28 - 5[/tex]
[tex]23[/tex]
[tex]15 \times 2 - 5[/tex]
[tex]30 - 5[/tex]
[tex]25[/tex]
[tex]16 \times 2 - 5[/tex]
[tex]32 - 5[/tex]
[tex]27[/tex]
[tex]17 \times 2 - 5[/tex]
[tex]34 - 5[/tex]
[tex]29[/tex]
We can denote these using the function defined by:f(x)=2x-5The steps to finding y, for each x are done above!!
Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5
What are the missing operations?
A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11
48 / -8 = -6
-40 / 8 = -5
12 - (-2) = 14
18 - (-12) = 6
18 - (-20) = -2
22 x (-0.5) = 11
PLEASE HELPP LOOK AT PICTURE TO ANSWER QUESTION
Answer:
2
Step-by-step explanation:
3^2 = 9
M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?
I need the answer asap!
Answer:
B = (5, 1).
Step-by-step explanation:
From the formula for the midpoint of a line :-
(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.
so (-1 + x)/2 = 6/2
-1 + x = 6
x = 5.
and (5 + y)/2 = 6/2
5 + y = 6
y = 1.
work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.
Answer:
45n+12mm
Step-by-step explanation:
I hope this is right if it is right pls mark me as brainliest and learn well
the value of a and b will be 45 and 0 for the given expression.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.
Since Radius = 21 cm
the radius of the circle/ radius of the quarter circle = 7/2
Total length = Sum of the circumference of both the circle
Since the formula for the circumference of a circle:
C = 2 * pi * radius
Total length = 2* pi* r + 1/4 * (2 * pi * r')
Total length = 2 *pi * 21 + pi * 3
Total length = π(42 + 3)
total length = 45π + 0
therefore, the value of a and b will be 45 and 0 for the given expression.
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In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
what is x (its a parralleligram)
Check the picture below.
Find the numerator ?/2 > 1/5
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
( 6(x)² + 12(x) - 90 ) ft³
Explanation:
deep end water: 2(x)² + 12(x) + 10shallow end water: 4(x)² - 100addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100
total volume of water:
2(x)² + 12(x) + 10 + 4(x)² - 1002(x)² + 4(x)² + 12(x) + 10 - 1006(x)² + 12(x) - 90Answer:
a) [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]
b) [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]
Step-by-step explanation:
Given:
volume of water in the deep end: [tex]\sf (2x^2+12x+10) \ ft^3[/tex]volume of water in the shallow end: [tex]\sf (4x^2-100) \ ft^3[/tex]a) Total volume of water = deep end volume + shallow end volume
[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]
b) Simplify:
[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]
Collect like terms:
[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]
Combine like terms:
[tex]\sf \implies 6x^2+12x-90[/tex]
What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft
Answer:
12×8/2=48
10×10=100
2(48)+3(100)
96+300= 396ft²
I’ll give Brainly but can somebody help me with this?
Answer:
give me 2 minutes and I will
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7
The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
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Find the distance between the two points
☟ ︎Photo down below ☟
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's use distance formula ~
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 - ( - 4)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 + 4) {}^{2} + ( - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 36+ 1{}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 37{}^{} } [/tex]
Therefore, the required distance is [tex]\sf \sqrt{37}[/tex] units
quadrilateral ABCD is a kita with diagonals AC and BD. determine the area of a kita with diagonals BD = 8 units and AC = 12 units
[tex]\mathsf\blue{♧ANSWER♧}[/tex]
[tex] \mathsf \orange{ \frac{x \times y}{2}} [/tex]
[tex] \mathsf \green{ \frac{8 \times 12}{2} }[/tex]
[tex] \mathsf \orange{ \frac{96}{2} }[/tex]
[tex] \mathsf \green{48 \: square \: units}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\qquad\qquad\qquad \large\underline{ \boxed{ \sf{✰\: Information }}}[/tex]
★ Given➣A quadrilateral ABCD shape (kite) with diagonals "AC" and "BD"➣ diagonal BD is of 8units ➣ diagonal AC is of 12units✜ Now let's see about ques ✜question is asking about to find area of kite with the above infosoo we know that[tex]{ \boxed{ ✟ \: \underline{ \boxed{ \sf \: Area \: of \: kite = \frac{ d_1 \times d_2}{2} \: or \blue{ \: \frac{1}{2} \times d_1 \times d_2}}}✟ }}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
✜ Let's substitute value according to formula ✜[tex] \qquad \rm{➛Area \: of \: kite = \frac{BD×AC}{2} }[/tex]
[tex]\qquad \rm{➛Area \: of \: kite = \frac{8×12}{2} } \\ \qquad \rm{➛Area \: of \: kite = \frac{ \cancel{96}}{ \cancel2} } \\ \qquad \rm{➛Area \: of \: kite = 48 {units}^{2} }[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★Hence area of kite with diagonals BD = 8 units and AC = 12 units is
[tex]\qquad\qquad\qquad{ \boxed{↪ \underline{ \boxed{ \sf{\: 48 {units}^{2} \green✓ }}}↩}}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ More info regarding this topic ★
➣ Quadrilateral:- A polygon with four sides,sum of it's interior angle is of 360⁰➣ Kite is also a quadrilateral because of four sides.Kite is a quadrilateral which is proved Euclidean geometry.[tex]\rule{80mm}{2.5pt}[/tex]
Hope it helps !
Jamal would like to purchase a pair of shoes for $80.00. At the store he can spin the spinner below to receive a discount
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that the shoe cost $100, he spins the spinner and gets a discount of 25%, hence:
Money paid = 100 - 25% of 100
Money paid = 100 - 25 = $75
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
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15 points do all pls
Write the equation of the line that passes through the point (2, -1) and has a slope of -3.
Answer:
Y=-3x+5Step-by-step explanation:
slope is -3/1
Slope is Rise/Run
meaning 3 down and 1 right
so in this case the down means the Y-axis
and the right means the x-axis
so lets put out some points.
(2,-1)
Then 1 right and down 3
(3, -4)
(4,-7)
and soo on, but we want to fin the point where x is zero.
Why?
Because that is where the y-Intercept is at.
Slope Intercept form is y=mx+b
Where m is the slope
And b is the y- Intercept
Soooo
Let's work backwards
Instead of Right 1 and Down 3 lets do
Left 1 and Up 3
And we will be starting with our original point
(2,-1)
then left 1, Up 3
2-1=1
-1+3=2
soo...
(1,2)
then again
(0,5)
That is our Y-intercept.
Now lets put all of it together.
Y=Mx+B
M=Slope
B=Y-Intercept
Y=-3x+5
You're welcome...
SonicIsCoool, if you need more help im at your service.
Evaluate the expression for p = 3.
2p =
Answer:
6
Step-by-step explanation:
2 x 3
everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Answer:
11. b
10.d
9.c
7.b
1.d
the rest I can't see clearly
please give brainiest
Step-by-step explanation:
11.
3/x-4=7/x
*cross multiply
3x=7 (x-4)
3x=7x-28
28=7x-3x
28=4x
x=7
10.
SOHCAHTOA
Cos☆=11/14
cos^-1 (11/14)
☆=38.21 degrees
9.
MLN CONGRUENT TO WBN
ML/WB=LN/BN=MN/WN
LN/BN=10/6
ML/WB
24/x=10/6
24x6=10x
144÷10
=14.4
6^2+14.4^2
=243.36
squareroot
=15.6
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
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