Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:
20 - 45
n - 2000
Applying cross multiplication:
45n = 20 x 2000
n = (20 x 2000)/45
n = 889.
889 students would be expected to prefer painting over scultuprue.
More can be learned about proportions at https://brainly.com/question/24372153
PLEASE HELP!
Will try to give the brainliest!
Answer:
L: (15+6x) W: 2
L: (10+4x) W: 3
L: (5+2x) W: 6
Step-by-step explanation:
We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.
The area given,
30 + 12x
can be factored several ways to be able to fill in the table.
This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.
Also, unless there are more directions, either factor may be the length or the width.
2(15+6x)
3(10+4x)
6(5+2x)
Please help simplify fractions
Answer:
this is easy the a sewer is 12
PLEASEE HELPP!!!
What is the mistake in setting up the quadratic formula?
Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
Express a in terms of c and p 4(2a+p) = c+p+a
Answer:
[tex]\frac{c-3p}{7}[/tex]
Step-by-step explanation:
1) 4(2a+p)=c+p+a
2) Expand: 8a+4p=c+p+a
3) subract a and 4p: 7a=c-3p
4) Divide: a=[tex]\frac{c-3p}{7}[/tex]
Answer provided by Education Point
Write f(x) = 2x2 – 44x 185 in vertex form. To write f(x) = 2x2 – 44x 185, factor out from the first two terms. Next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 The function written in vertex form is f(x) = (x – )2.
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]
Add and subtract 121, we have
[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
1. 2
2. 2
3. 11
4. -57
Step-by-step explanation: actual answers
Mai earns a salary of $200 per week plus an additional 5% commission on her sales. If
Mai's weekly salary increases by $25 and her commission increases to 6%, how much will
she earn if her weekly sales are $2,500?
so Mai had booming sales of $2500, now her commission used to be 5%, but since she rules it went up to 6%, how much is her commission on that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 2500}}{\left( \cfrac{6}{100} \right)2500}\implies 150[/tex]
since her salary which used to be $200 but is now 200 + 25 = $225, so for that week she earned 225 + commission or 225 + 150 = 375.
R Given:07F = FRY: RFY: LFY
Prove: AFRY:ΔFLY
STATEMENT REASON
YLF =FRY. 23.
RFY=LFY. GIVEN
FY=FY(underlined) 24.
ΔFRY=ΔFLY. 25.
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
What is the AAS Congruence Theorem?The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.
To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
Learn more about the AAS Theorem on:
https://brainly.com/question/4460411
prove that :
opposite side of parallelogram are equal
Step-by-step explanation:
Given: A parallelogram ABCD with AC as its diagonal
To prove: <A=C & <B=<D
Proof:
Opposite sides of parallelogram is parallel
So, AB || DC and AD || BC.
Since AB || DC
& AC is the transversal
< BAC = < DCA (Alternate angles...(1) )
Since AD || BC & AC is the transversal
<DAC = < BCA (Alternate angles)...(2)
when adding equation 1 and 2
<A=<C
In similar case,
<B=<D
5. A triangle with a perimeter of
8 is dilated by a scale factor
of 2. What is the perimeter
of the new triangle?
Step-by-step explanation:
a scale factor normally applies to lengths (one-dimensional sizes).
the perimeter of a triangle is calculated only by using lengths, so we can apply the scaling factor directly to the perimeter.
perimeter of the new triangle = 2 × perimeter of the old triangle = 2×8 = 16
Mr. Jones has a cylindrical water storage
tank. The tank has a diameter of 6 feet and
a height of 12 feet. Mr. Jones wants to
paint the tank but since the tank rests on a
concrete slab, he will not need to paint the
bottom of the tank. How much paint will
he need to paint the water storage tank?
Answer:
254.47sqft (square feet) of paint
Step-by-step explanation:
The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.
if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
Answer:
Step-by-step explanation:
The diameter to answer 3.92 A=4 pi r2 d=2r
100 BRAINLY POINTS!!!
Kayla recorded her baby sister's height, y, in inches, each month, x. The scatterplot shows her results.
Kayla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?
A. Her sister grew about 15 inches each month.
B. Her sister grew about 1 inch every 15 months.
C. Her sister grew about 0.75 inch each month.
D. Her sister grew about 1 inch every 0.75 month.
PLEASE HELP ME CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
C. Her sister grew about 0.75 inch each month.Step-by-step explanation:
Given function:
y = 0.75x + 15The function is linear and it represents:
y - current heigt of babyx - number of months passed0.75 - the slope is the monthly growth rate15 - the y-intercept, is the initial height of babyAccording the above explanation the correct answer choice is C
Slope intercept form of a line is given by y=mx+b
Compare to our given function
y=0.75x+15Here
Slope=m=0.75As it's about height
The rate of change in height is denoted here
Option C is correct
What is the value of x to the nearest degree?
Answer:
The answer is 68°
Step-by-step explanation:
Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.
The value opposite to your angle is 5, and the value that is adjacent to it is 2.
In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.
This gives a value of 68.19459, rounded to just 68.
HELP ASAP PLEASE NO LINKS
Jason researched the number of women and men enrolled in colleges in the United States.
. MO - 0.081 +6.18 represents the number of men enrolled, in millions
• WO) - 0.21 +4.93 represents the number of women enrolled, in millions
. t represents the number of years after 1975.
Which expression represents how many more women than men (in millions) were enrolled in colleges in the United States in 2001?
A) 0.39(2001) + 11.11
B 0.39(26) +11.11
(C
0.13(2001) - 1.25
D
0.13(26) - 1.25
Answer:
C
Step-by-step explanation:
0.081+6.18 =6.261
0.21+4.93 =5.14
6.261 - 5.14 = 0.13
The diagonals of rhombus $ABCD$ intersect at $E$ . Given that $m\angle BAC=53°$ , $DE=8$ , and $EC=6$ , find $m\angle AED$ .
Based on the definition of the diagonals of a rhombus, m∠AED = 90°.
What are the Diagonals of a Rhombus?A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.
Angle 90 is formed at the intersection of the two diagonals of a rhombus.
In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.
Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.
Learn more about diagonals of a rhombus on:
https://brainly.com/question/20627264
(90 points) what's the area of a 5m circle , 50 mm circle , 40in circle , 7ft circle, 21mm circle and a 70cm circle all using 3.14 or 22/7 for pi
Answers:
AREA OF A CIRCLE = pi x r^2
5m circle:
when it says 5 i think it means diameter so divide by 2 for radius
5/2 = 2.5
3.14 x 2.5^2=
3.14 x 6.25=
19.625m^2
50mm circle:
50/2= 25
3.14 x 25^2=
3.14 x 625=
1962.5mm^2
40in circle:
40/2= 20
3.14 x 20^2 =
3.14 x 400=
1256in^2
7ft circle:
7/2= 3.5
3.14 x 3.5^2=
3.14 x 12.25=
38.465ft^2
21mm circle:
21/2= 10.5
3.14 x 10.5^2=
3.14 x 110.25=
346.185mm^2
70cm circle:
70/2=35
3.14 x 35^2=
314 x 1225=
3846.5cm^2
Hope that helps :)
100 points and brainliest if u answer this right
Consider this dilation
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
a) Enklargement, b) k = 2Step-by-step explanation:
a)
The original figure is ABC and the image is A'B'C'.
We can see the image is larger than the original figure.
It indicates that the dilation is an enlargement.
b)
Find the ratio of corresponding sides to find the scale factor.
First get the measure of corresponding line segments.
AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8The scale factor is:
k = A'C'/AC = 8/4 = 2#1
Enlargement#2
Take two sides of both
BC=|-3-1|=4unitsB'C'=|-3-5|=8unitsScale factor:-
k=8/4=2What is the answer to this?
Volume Formula: length x width x height
---Let's first write down what we're given.
Volume = 80
Length = 4
Width = 4
Height = ?
---Now, plug what we know into the formula for volume and solve for the missing variable.
80 = 4 x 4 x h
80 = 16 x h
h = 5
g = 5 centimeters
Hope this helps!
HELP ASAP !
b) findthe equation of circle having (2,3) and (4,0) as the end points of the diameter
Answer:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
Step-by-step explanation:
Let A(2,3) and B(4,0) be the end points of the diameter
then the segment AB is the diameter of the circle
Then the center of the circle (point M) is the midpoint of segment AB
Then M( (2+4)/2 , (3+0)/2 ) then M( 3 , 3/2 )
Now let’s find the radius r of our circle :
r = AB/2
Then
[tex]r=\frac{AB}{2} =\frac{\sqrt{(0-3)^{2}+(4-2)^2} }{2} =\frac{\sqrt{13} }{2}[/tex]
Then Equation of the circle is:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} = \left( \frac{\sqrt{13} }{2} \right)^{2} \\\Longrightarrow \left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
You are taking a trip at the same time as another
family. Your family traveled 1,900 miles in 2 days,
their family traveled 2,700 miles in 3 days. Who is
traveling faster?
Answer:
1,900 miles in 3 days is going fast than 2,700 miles in 3 days
Step-by-step explanation:
1,900 divided by 2 is = 950
2,700 miles divided in 3 days is = 900
Answer:
your family traveled faster
Step-by-step explanation:
your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)
do the same for 2,700 and 3 (900 is answer)
compare the two and you have your answer!
Hope this helps and that you have a wonderful evening/day!
Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why
Answer:
Average velocity
Step-by-step explanation:
The average speed is only different from average velocity because it has direction.
The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.
Help please and thank you
20 possible points if anyone gets this correct
Answer:
13
Step-by-step explanation:
I counted the X's of 1-3 and got 13 in total.
(Let me know if that was correct) :)
Answer:
13 students
Step-by-step explanation:
To solve this you count the x's above 1, 2, and three.
I hope this helps!!
four friends earned $5.20 for washing a car They shared the money equally how much did each friend get.
Answer:
$1.30
Step-by-step explanation:
We need to figure out how much each friend gets out of the 5.20 so we will have to divide :)
5.20/4 = $1.30
Have an amazing day!!
Please rate and mark brainliest!!!
A line has a zero slope and passes through the point (4,-9). What is the equation of the line?
(No links please, just a simple answer)
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
Need help on my problem
Answer:
Step 1: 2*5 - 4y = 2
Step 2: 10 - 4y = 2
Step 3: -4y = -8
Step 4: y = 2
Step-by-step explanation:
There are 210 counters in a bag.30 percent of these counters are red.Work out the number of red counters in the bag
Answer:
63
Step-by-step explanation:
30 percent * 210 =
(30:100)* 210 =
(30* 210):100 =
6300:100 = 63
Addison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4?
Total outcomes:
So the final answer is "60"
Please help with equivalent ratios
Answer:
The price for each pound of tuna is not always the same.
Step-by-step explanation:
What we do is divide the price by the amount of tuna to find the price for each amount of tuna
For the 1st one, we have $8 for 2 tuna so we do 8/2
8/2 = 4
For the 2nd we have $16 for 4 so we do 16/4
16/4 = 4
For the 3rd, we have $27 for 9 so we do 27/9
27/9 = 3
Ethan's living room is 11 feet wide and 16 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?
Please help! will give brainlest!
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)