she cut the sum in (3+5+4) in 12 parts
J had 3/12 of the sum S
L had 5/12 of the sum S
and R had 4/12 of the sum S
4/12 x S = 320
S = 320 x 12/4
S = 960
$960 shared
Solve for x in the following numbers
4x squared + 1 =4x
Answer: x = 1/2
Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:
4x² - 4x + 1 = 0
Now, factor it:
(2x - 1)(2x - 1)
Set each one equal to zero, but since they’re the same, you only need to do it once:
2x - 1 = 0
Add 1 to both sides:
2x = 1
Divide both sides by 2:
x = 1/2
Hope this helps!
Answer:
x=1/2
Step-by-step explanation:
4x^2+1=4x
or,4x^2-4x+1=0
or,(2x)^2 - 2*2*x+(1)^2 =0
or,(2x-1)^2 =0
or,2x-1 =0
or,2x=1
Therefore, x=1/2
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
We know that:
9x + 4 and 3x + 16 are equivalent because of alternate inner angles.This means that:
[tex]9x + 4 = 3x + 16[/tex]Step-by step calculations:
Subtract 3x both sides.
[tex]9x + 4 = 3x + 16[/tex]⇒ [tex]9x - 3x + 4 = 3x - 3x + 16[/tex]⇒ [tex]6x + 4 = 16[/tex]Subtract 4 both sides.
⇒ [tex]6x + 4 = 16[/tex]⇒ [tex]6x + 4 - 4 = 16 - 4[/tex]⇒ [tex]6x = 12[/tex]Divide 6 both sides.
⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex]⇒ [tex]x = 2[/tex]*Note that:-
9x+4= 3x+16 [Alternate interior angles]Using this equation we will solve for x and then find each angle...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]
Now,[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]
[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]
Which quadratic function is best represented by this graph?
A.) f(x)=x^2−6x−8
B.) f(x)=x^2−6x+8
C.) f(x)=x^2+8
D.) f(x)=x^2+6x+8
? Pick one graph
Step-by-step explanation:
There's no graph visible
f(x) is the same as y
Hope this helps!
2x-8+3x+2=4x+10+3x-6 what is X equaled too?
answer and explain plz i am lost!!!
HELP ASAP
Answer:
Step-by-step explanation:
2x-8+3x+2=4x+10+3x-6
5x-6=7x+4
minus 7x from both sides, add 6 to both dies
-2x=10
divide by -2
x=-5
HELP
ASAP
!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Area of the figure = area of semicircle + area of rectangle
Rectangle:
length = 11.25 in
width = 7.5 in
Area of rectangle = length * width
= 11.25 * 7.5
= 84.375 in²
Semicircle:
diameter = width of the rectangle
d = 7.5 in
r = diameter 2 = 7.5/2 = 3.75 in
[tex]Area \ of \ circle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]
[tex]=\dfrac{1}{2}*3.14*3.75*3.75\\\\= 22.08 \ in^{2}[/tex]
Area of the figure = 84.375 + 22.08
= 106.455
= 106.46 in²
which statement best represents the relationship in the scatterplot below?
Answer:
C. As the children's weight increased, their height decreased
Step-by-step explanation:
This is your answer becuse you can see here that the height is increasing as the weight is increasing
Thanks!
Mark me brainliest!
find the percentage increase in area of a triangle if its each side is doubled
First of all, to find the area of a triangle you multiply the base * height and divide the result by two (2).
Let's use a triangle which sides are all 2 inches. To find the area, you do 2*2/2 which equals 2.
Now, double each side and each side of the triangle is now 4.
We do 4*4/2 which now equals 8.
The percentage increase from 2 --> 8 is 600%.
The percentage of the old area to the new area is 800%
ANSWER: 600%
Can anyone please help me??
Find the measure of the missing angles
Answer:
b=119, and c=119
Step-by-step explanation:
this is because b+61 equal 180 degrees and b and c are congruent angles
I need help with this!
Answer:
B
Step-by-step explanation:
The slope is -1, which equals m= -1.
The answer is B.
You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can the pool hold?
Answer:
Vol = 769.7 cubic ft
Step-by-step explanation:
"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.
Volume of a cylinder:
Vol =
Base area•height
= pi•r^2 • h
= pi(7)^2•5
= pi•49•5
= pi • 245
= 245pi
Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.
If you use calculator pi (that's a lot of decimals) you get
Vol ~= 769.69 (to the hundredths place)
Vol ~= 769.7(to the tenths place)
If you were told to use 3.14 for pi
then you get
Vol ~= 769.3 cubic ft
But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)
Given that the area of a rectangle is 4 2/3 in and the is 1 1/2 find the width
Answer:
3 1/9
Step-by-step explanation:
divide 4 2/3 and 1 1/2 together to find width
35% of the tickets sold at a school carnival were early-admission tickets. If the school sold 40 tickets in all, how many early-admission tickets did it sell?
Answer:14
Step-by-step explanation:440 X .35 = 114. You have tto Turn 35% into a decimal. Move over 2 times now you get .35
Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12
to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12[/tex]
10^7/10^5 as a single exponent
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.
What value for x is the solution to the following equation
10+2x-4
Answer:
-3
Step-by-step explanation:
10+2X-4= 0
2X= -10 + 4
2X = -6
X = -3
IN
-
Change this fraction to a decimal:
9
Answer: 9 over 10
Step-by-step explanation:
Gordan was thinking of a number. Gordan adds 2 then divides by 3 to get an answer of 1. What was the original answer?
Answer:
1
Step-by-step explanation:
x is the number
x+2 is divided by 3
x+2 ÷ 3 =1
Multiple 3 on both sides
x=1
What is the following product?
3V2(5V6-7V3)
Answer:
st-2f u
Step-by-step explanation:
so the essay 2+1=2
Solve forx in the literal equation -16 = xy + z.
Plzzzz help
Answer:
X=[tex]\frac{-16-Z}{Y}[/tex]
Step-by-step explanation:
XY+Z=-16
Subtract both sides by Z
XY=-16-Z
Divide both sides by Y
X=[tex]\frac{-16-Z}{Y}[/tex]
Examplelt: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?
Answer :
4167 bricks.Explanation :
Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.
Here,
[tex]{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}[/tex]
Therefore,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}[/tex]
Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}[/tex]
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}[/tex]
Therefore,
The wall requires 4167 bricks.The right answer of this question is B or D
The sides of a pentagon measure 109.7 meters and the apothem is 75.5 meters. Find the area of the pentagon.
Answer:
20705.875
Step-by-step explanation:
Area of a pentagon is 1/2 * P * A p being the perimeter of the pentagon and a being the apothem. 1/2 * 548.5 * 75.5 equals 20705.875. I'm almost positive this is correct. So sorry if it's not. Have a good day/night!
A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:
Answer:
Step-by-step explanation:
answer: owen can afford to keep and drive the car for 4 days.
The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330. Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:
R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330
= $77.25d + $21 ≤ $330
This simplifies to $77.25d + $21 ≤ $330, or
$77.25d ≤ $309
Solving this by dividing both sides of the above equation by $77.25, we get
d = ($309)/($77.25) = 4
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ounce(s) of red paint, and the 3 cups of light orange paint require
9
4.5 ounce(s) of red paint. Arnie needs
30
25.5 ounce(s) of red paint in total, so the 32-oz can is
enough.
(Type integers or decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need?
Arnie needs
4216
nothing ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ounce(s) of yellow paint, and the 3 cups of light orange require
391313
nothing ounce(s) of yellow paint.
(Type integers or decimals.)
Answer:
Integers and decimals
Step-by-step explanation:
Soorry im too lazy to read all this
Answer:
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
▼
Yes.
No.
The 3 cups of dark orange paint require
nothing ounce(s) of red paint, and the 3 cups of light orange paint require
nothing ounce(s) of red paint. Arnie needs
nothing ounce(s) of red paint in total, so the 32-oz can is
▼
enough.
not enough.
Step-by-step explanation:
Fiona can type 60 words a minute. How many words can be typed in 10.5 minutes
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
1 minute = 60 words multiply everything by 10.5
10.5 minutes = 10.5(60) = 630 words
1/2% of 567.375 is what?
Answer:
2.837%
Step-by-step explanation:
1/2 ×567.375/100
therefore= 2.837%
Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.
Answer:
The constant of proportionality is 5 minutes per bracelet
Step-by-step explanation:
If x and y are proportion, then y = k x, where
k is the constant of proportionalityWe can find k by dividing y by x ⇒ k = [tex]\frac{y}{x}[/tex]Let us solve our question
∵ Olivia is making bead bracelets for her friends
∵ She can make 3 bracelets in 15 minutes
We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet
∴ y = the time in minutes
∴ x = the number of bracelets
∵ y proportion with x
∴ k = [tex]\frac{y}{x}[/tex]
∵ y = 15 and x = 3
∴ k = [tex]\frac{15}{3}[/tex]
∴ k = 5
∴ The constant of proportionality is 5 minutes per bracelet
Luigi is an Urban Planner. As an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Write a function to represent this scenario where y represents the total amount he changes for a project and x represents the number of hours worked on a project.
(Please also tell me the "Amount earned for 10. hours of work")
PLEASE ANSWER THIS I NEED HELP!!!
The total amount earned in 10 hours of work is $390.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Here, y represents the total amount he changes for a project and x represents the number of hours worked on a project.
Now, y=140+25x
Amount earned for 10 hours of work is
y=140+25×10
= 140+250
= $390
Therefore, the total amount earned in 10 hours of work is $390.
To learn more about the function visit:
https://brainly.com/question/28303908.
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