Step-by-step explanation:
Let a be the total score of Div. A
Let b be the total score of Div. B
given,
[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]
as equation 1.
and
[tex]b - a = 160 \\ - a + b = 160[/tex]
as equation 2.
Now multiply equation 2 by 1/20 to eliminate b to solve for a.
[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]
take this new equation as equation 3.
now we will use equation 1 + equation 3 to eliminate b to solve for a.
[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]
Div.A total score = 600
Average Score = Total Score / Number of students.
[tex] \frac{600}{15} \\ = 40[/tex]
Help me with #6 Please
Answer:
4 - pi
Step-by-step explanation:
we see that the inner square leg is 2 inch because its radius + radius
which is 1+1 (two circles diameters are 4 inches, so one circle has 1 inch radius) square area = 4 inches.
we subtract the area of 4 circle quadrants which is a circle area.
area of the circle is pi r^2, r = 1 so A = pi inch
the shaded region is (4 - pi) inch squared.
Del total de alumnos de una escuela de Medellín, la mitad nació en Medellín, un tercio en otros pueblos de Antioquia y los restantes en otros países. Si son 83 los alumnos extranjeros, el número de alumnos que nacieron en Medellín es: A. 498 B. 166 C. 250 D. 249
Answer:
OK
Step-by-step explanation:
What language us That
Can someone plzzz helpp mesee
Answer:
104
Step-by-step explanation:
sso if you use the angle right it looks just right
Answer:
[tex] m\angle EFG = 52\degree[/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]
[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]
[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]
[tex] (x+51)\degree =(5x +47)\degree [/tex]
[tex] x+51 =5x +47 [/tex]
[tex] x+51 - 47=5x - x[/tex]
[tex] 4=4x[/tex]
[tex] x=\frac{4}{4}[/tex]
[tex] x=1[/tex]
[tex] \because m\angle EFG = (x+51)\degree[/tex]
[tex]\therefore m\angle EFG = (1+51)\degree[/tex]
(plug x = 1)
[tex] \therefore m\angle EFG = 52\degree[/tex]
Linda used 36 m of fencing to enclose a rectangular section of her back yard .
What might the area of the enclosed section be? Give three different answers.
Answer:
so you'll take width (or w) and times it by Height (or h)
50 x 100 = 5000 = example
I hope this helps...
Step-by-step explanation:
For which of the following equations is (-3,-2) not a solution?
Answer:
-5
Step-by-step explanation:
Just add the numbers and if they both got negative numbers it is negative
No equation in the answer choices has a solution pair of (-3,-2) as as evident from the computation below.
Solution pair for EquationsTo determine which equations are not satisfied by the solution pair; (-3,-2), we must substitute the solution pair into each equation as follows;
−3x=4y−6; -3(-3) = 4(-2) - 6; 9 = -14; Falsey=x−1; -2 = -3 -1; -2 = -4; False5x+2y=−16; 5(-3) + 2(-2) = -16; -19 = -16; False2(-2) - 3(-3) = 0; +5 = 0; FalseIt follows form the computation above that, the solution pair is not a solution to any of the equation choices.
Remarks:
Select one: a. −3x=4y−6 b. y=x−1 c. 5x+2y=−16 d. 2y−3x=0
Read more on solution pair of equations;
https://brainly.com/question/25792305
Please just give me the answer
Answer:
x = 4
Step-by-step explanation:
We use the formula:
a² + b² = c²
x² + 3² = 5²
x² + 9 = 25
x² = 16
[tex]\sqrt{x^2} =\sqrt{16}[/tex]
x = 4
PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)
1:
cos (37)= 11/x
x(cos(37))= 11
x= 11/cos(37)
x= 14.4
2:
tan (0)= 4/13
0= tan^-1/ 4/13
0= 0.3
x= 0.3
have a nice day :)Step-by-step explanation:
solution:
A.
relation between hypotenuse and base is given by cos angle
so
[tex] \cos(ø) [/tex]=base/hypotenuse=11/x
cos37°=11/x
x=11/(cos37°)=13.77units
side indicated =x=13.77units
solution:
B.
relation between perpendicular and base is given by tan angle
so
[tex] \tan(ø) [/tex]=perpendicular/base=4/13
ø=tan-¹ (4/13)=17.10°
angle indicated =ø=17.10°
choose two answers. need help asap!
help please, solve for D
12
25
4
5
Answer: 81.98274589 is what i got but it will be 81 hope this helped
Step-by-step explanation:
2x - 15
Help meeeeee
Can someone help me with this. Will Mark brainliest.
Answer:
True
Step-by-step explanation:
Hope this is helpful
Answer:
It's true.
Step-by-step explanation:
Hope this helps.
Please mark as brainiest!
Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely
Answer:
25 feets
Step-by-step explanation:
The scenario above can be modeled and solved Using Pythagoras :
Height to second floor = 24 feets
Horizontal Distance between foot of ladder and wall = 7 feets
Let length of ladder = x
The lengtb of ladder here is the hypotenus
Recall:
Hypotenus = sqrt(opposite² + adjacent²)
Hence,
x = sqrt(24² + 7²)
x = sqrt(576 + 49)
x = sqrt(625)
x = 25
Hence, length of ladder = 25 feets
The time it takes to drive from the New York to Florida is normally distributed
with u = 19 hours and o = 2.5 hours. What is the probability that the next
time someone drives from NY to FL it will take between 20 and 24 hours?
Answer:
32.18%
Step-by-step explanation:
Just took the test
The final answer is: 32.18%
Got it right when I did it! :)
HELP HELP PLEASE ILL MARK BRAINLIEST
Answer:
third one
Step-by-step explanation:
cuz its a fraction, and fractions arent polynomials
If 4% of the population catch a certain disease, find the probability that in a group
of 200 people, exactly 3 will get the disease.
A ladder leans against the side of a house the top ladder is 16 ft from the ground the bottom of the ladder is 12 ft from the side of the house find the length of the ladder if necessary round your answer to the nearest tenth
Answer:
[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]
[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]
[tex] {h}^{2} = 256 + 144[/tex]
[tex]h = \sqrt{400} [/tex]
[tex]h = 20[/tex]
therefore the length of the ladder is 20ft
-9q = 63 what would be q
Answer:
-7
Step-by-step explanation:
-9q = 63
q= 63/-9 = -7
PLEASE HELPPPPPP...
Between which, two months was the largest decrease in profits recorded? What was the amount of the decrease?
April to May, $4,000 <-
February to March, $4,000
April to May, $5,000 <-
February to March, $5,0000
Answer:
Between which two months was the largest decrease in profits recorded? What was the amount of the decrease?
February to March, $4,000
April to May, $4,000
April to May, $5,000
February to March, $5,000
Step-by-step explanation:
C. is right
so uh this is due tomorrow
Which is a solution of 2x(8x + 5) (7x – 13) = 0?
Answer:
Step-by-step explanation:
This has 3 solutions
2x = 0 Divide by 2
x = 0
8x + 5 = 0 Subtract 5 from both sides
8x = - 5 Divide by 8
x = - 5/8
x = -0.625
7x - 13 = 0 Add 13 to both sides
7x = 13 Divide by 7
x = 13/7
x = 1.86
If we reflect point D(2,-3) over the y-
axis, what is the new image?
D'(-2,3)
D'(-2,-3)
D'(2,-3)
D'(2,3)
PLEASE HELP (30 points)
(I will report fake answers or links)
Solve each equation by completing the square.If necessary,round to the nearest hundredth.
10.) b2+10b=75
11.) y2-18y=63
12.) n2-20n=-75
13.) a2+16a=-15
14.) t2+8t-9=0
15.) h2-12h-9=0
Answer:
10) b = 6.25
11) y = -3.94
12) n = 4.16 repeating
13) a = -0.83 repeating
14) t = 0.9
15) h = -0.9
Hope this helps!
Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25
Find the Median.
Answer:
rearrange in ascending order
15,19,21,25,27,28,36,37,40,42,45,50
using formula (n\2)th + (n/2)+1)th/2
(12/2)th + (12/2)+1)th/2
6th +7th/ 2
the 6th number=28and the 7th number=36
28+36/2
64/2
32
median =32
What is FG?
NEED HELP QUICK!!
Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
Answer:
50
Step-by-step explanation:
90-54=36
then u do 36-10 which will give u 26
that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
a^2+b^2=c^2
10^2+b^2=17^2
100+b^2=289
-100 -100
b^2= 189
b= the square root of 189
b=13.7477270849
Evaluate the expression for x=-2 and y=9.
xy + y =
Answer:
-18 + 9 = -9
Step-by-step explanation:
-2 x 9 = -18
find the x please!!!!
Step-by-step explanation:
All 3 angles add up to be 180 due to sum of angles in a triangle.
Given this fact,
[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]
Answer:
(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰
<=> (38 + 83 + 24) - 5x = 180
<=> 145 - 5x = 180
<=> 5x = 145 - 180
<=> 5x = - 35
<=> x = - 7
At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300 people attending the game supported the home team, what was the total number of people attending the game? HELP ME I NEED AN A IN MATH!
Answer: 2000
Step-by-step explanation:
Percentage supporting home team = 65%
Percentage supporting visiting team = 35%
Number of people supporting home team = 1300
Let the total number of people attending the game be represented by x.
Therefore, 65% of x = 1300
65/100 × x = 1300
0.65 × x = 1300
0.65x = 1300
x = 1300 / 0.65
x = 2000
Therefore 2000 people attended the game.
Which of these serves as a way to help get rid of waste and is most commonly found in animal cells not in plant cells?
A. a membrane
B. a nucleus
C. chloroplasts
D. lysosomes
A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its
height?
Use I 3.14 and round your answer to the nearest hundredth.
Answer:
h = 15 mm
Step-by-step explanation:
Given that,
The volume of a cone, V = 565.2 cubic millimeters
The radius of the cone, r = 6 mm
We need to find its height. The formula for the volume of the cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
h is the height of the cone
[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]
So, the height of the cone is equal to 15 mm.