Answer:
100:350 simplified: [tex]\frac{2}{7}[/tex]
Step-by-step explanation
A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.
Calculate expected number of item A:
[tex]\frac{2x500}{5}[/tex]
Expected number of item A: [tex]\frac{1000}{5}[/tex]
This fraction can be reduced by 5 giving you:
Expected number of item A: 200
Calculate expected number of item B:
[tex]\frac{3x500}{5}[/tex]
Expected number of item B: [tex]\frac{1500}{5}[/tex]
This fraction can be reduced by 5 giving you:
Expected number of item B: 300
Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies
No Betty would have sold at least 5 cookies.
We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.
It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.
What is the area of ABC?
This value is approximate.
=========================================================
Work Shown:
area = 0.5*side1*side2*sin(included angle)
area = 0.5*AB*AC*sin(A)
area = 0.5*11*18*sin(55)
area = 81.0960523846101
area = 81.1 cm^2
The cm^2 refers to "square cm".
Notice that the angle must be between the two sides, hence the "included".
WHAT IS THE VALUE OF ANGLE N?
Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
a and b share the cost in a ratio of 3:2 a pays £125 how much would b pay
Answer:
[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]
A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?
Answer:
1/2 or 0.5 hours
Step-by-step explanation:
r = time for repairman to fix one pair of shoes.
a = time for assistant to fix one pair of shoes.
a = r×1.5
x×r + y×a = 6
x = number of pairs of shoes repaired by repairman.
y = number of pairs of shoes repaired by assistant.
x+y = 10
y = 10-x
x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)
y = 10 - y×1.5
y + y×1.5 = 10
2.5×y = 10
y = 4
=> x = 6
6×r + 4×r×1.5 = 6
6×r + 6×r = 6
12×r = 6
r = 6/12 = 1/2 or 0.5 hours
Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
a linear expression is the form
[tex]y = mx + b[/tex]
mary selects a piece of candy at random form a jar that contains four peopermint, five cherry, three butterscotch, and two lemon candies. what is the probability that the candy she selects is not lemon?
Answer:
6/7 or 85.7 percent
Step-by-step explanation:
First, you will want to add all of the candies together and find the sum
Then you will want to take away the Lemon candies as you are looking for the probability of NOT choosing those,
so at this point, you should have 12 take that 12, and put it over the total number, so 12/14 then either simplify, or switch to a percentage, or both, and there is your answer.
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
Learn more about a right triangle;
https://brainly.com/question/7116550
#SPJ7
No files just type it in
Answer:
ok kdkdkddkkdkdkkfkffk
Answer:
37
Explanation:
3 + 3 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4
if my answer did help mark me as brainlist :D
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Ty
Step-by-step explanation:
find the measure of the missing angle (#4 btw)
Answer:
Step-by-step explanation:
1)
∠1 = ∠2 {Angles opposite to equal angles are equal}
∠1 = ∠2 = x
x +x + 55 = 180 {angle sum property of triangle}
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125/2
x = 62.5
∠1 = 62.5
2) ∠2 = 62.5
3) ∠3 = 55 {Vertically opposite angles are congruent}
4) ∠4 + 105 = 180 {linear pair}
∠4 = 180 - 105
∠4 = 75
5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}
55 + 75 +∠5 = 180
130 + ∠5 = 180
∠5 = 180 - 130
∠5 = 50
Which of the following is true about a linear function? (4 points) Select one: a. It may curve in some parts and be horizontal in others. b. It must cross the origin. c. It has a constant rate of change. d. It must contain only positive values.
Option c: It has a constant rate of change.
measures of variability,i have realized that
Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.
solve the missing side in the right triangle below
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
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Answer:
??????
Step-by-step explanation:
Answer:
The radius of the circle is 2 units.
Step-by-step explanation:
The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.
The capacity of a CD-ROM is 800 MB (800 x 20 raised to 20 bytes). It stores information along a spiral track. If each byte uses a space of 9 microns, what is the length of the complete track in m? (Hint: 1 micron= 10 Raised to-6m)
Answer:
The length of the complete track= [tex]7.549\times 10^{23} m[/tex]
Step-by-step explanation:
We are given that
Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]
1 byte=9 microns
[tex]1micron=10^{-6}m[/tex]
We have to find the length of the complete track in m.
We change MB into micron
[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]
=[tex]7200\times 20^{20} microns[/tex]
Now, we change micron into m
[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]
=[tex]7.549\times 10^{23} m[/tex]
Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]
The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?
I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348
Answer:
option C
Step-by-step explanation:
Given :
[tex]f(x) = 3x \\\\g(x) = 3x^2\\\\h(x) = 2^x[/tex]
We will just put values for x and check the function :
Let x = 1
f(x) = 3
g(x) = 3
h(x) = 2
Let x = 10,
f(x) = 30
g(x) = 300
h(x) = 1024
Let x = 100
f(x) = 300
g(x) = 30000
h(x) = [tex]1.27 \times 10^{30}[/tex]
Clearly , as x increases value of h(x) exceeds the value of f(x) and g(x).
could anyone help me with this?
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?
Answer:
8 : 27
Step-by-step explanation:
The ratio of the volumes is the ratio of the scale factor cubed
2^3 : 3^3
8 : 27
Answer:
8 : 27
Step-by-step explanation:
Given 2 similar cylinders with height ratio = a : b , then
ratio of volumes = a³ : b³
Here height ratio = 2 : 3
ratio of volumes = 2³ : 3³ = 8 : 27
Please someone help me out
Answer:
812 in²
Step-by-step explanation:
The area (A) is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 29 and h = 28 , then
A = 28 × 29 = 812 in²
Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term, [tex]a_n=480[/tex]
Let there are n terms in the AP.
So,
[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]
There are 20 terms in the series. The sum of 20 terms is :
[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]
So, the sum of the given arithmetic series is equal to 5040.
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
(Find m∠IGH) m∠IGH=
Answer:
angle IGH = 50 degree
Step-by-step explanation:
triangle GHI is an isosceles triangle because it's two sides are equal.
if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.
EG is the angle bisector of
Answer:
the remaining angle will be 32
cz angle bisector cuts an angle in two equal parts hooe it may help u
Find all solutions to the equation in the interval [0, 2pie]. Enter the solutions in increasing order. cos 2x = sin x
Answer:
cos2x=sinx
<=> 1-2sin^{2}x =sinx
solve and we have x=3pie/2, x=pie/6,x= 5pie/6
Step-by-step explanation:
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
Question 2 (Essay Worth 10 points)
(03.01 MC)
Look at the rectangle and the square:
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches.
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is incorrect.
Step-by-step explanation:
Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.
Answer:
Sam is incorrect.
Step-by-step explanation:
Sam is incorrect. By using the Pythagorean theorem, we can find out what each diagonal is equal to.
Starting with diagonal SQ...
6^2 + 12^2
= 36 + 144
= 180
Square root of 180?
= 13.41
Diagonal OM...
6^2 + 6^2
= 36 + 36
= 72
Square root of 72?
= 8.48
Therefore, Sam is incorrect because 8.4 isn't half of 13.4.
13. Find the roots of the quadratic equation by using the quadratic formula and factorization method (i) x 2 – + 10 = 0
Answer:
x = 5 or -2
Step-by-step explanation:
The general quadratic formula is expressed as;
ax²+bx+c = 0
Given
x² - 3x -10 = 0
a = 1, b = -3 and c = -10
x = -(-3)±√(-3)²-4(1)(-10)/2(1)
x = 3±√9+40/2
x = 3±√49/2
x = 3±7/2
x = 3+7/2 or 3-7/2
x = 10/2 or -4/2
x = 5 or -2
By Factorization
x² - 3x -10 = 0
x² - 5x+2x -10 = 0
x(x-5)+2(x-5) = 0
(x-5)(x+2) =0
x - 5 =0 and x+2 = 0
x = 5 or -2
