In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answer:
4:1
Step-by-step explanation:
There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't
David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.
2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0
Answer:
Represent the thickness of the frame by x.
Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3+2x)(2+2x) = 8
The equation above can be simplified into 4x^2 + 10x -2=0.
This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer:
The correct option would be C
Step-by-step explanation:
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mrs. gold is planning a field trip for her class to the zoo. the zoo is 12 miles away. the map she uses has a scale of 1 inch to 3 miles. how far in inches is the zoo from the school on the map?
The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
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Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?
Answer:
3/4 is your fraction because 3 out of the four sections gives you the bear
Step-by-step explanation:
Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line.
a. If a bottle is removed from the filling line, what is the probability that it is defective?
b. If a customer buys a bottle that has not been removed from the filling line, what is the probability that it is defective?
The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03
The probability that a bottle on the line is defective?The given parameters are:
P(Defective) = 30%P(Remove) = 0.9P(Not defective and remove) = 0.2The probability that a bottle on the line is removed if defective is:
P = P(Defective) * P(Remove)
This gives
P = 30% * 0.9
Evaluate
P = 0.27
Hence, the probability that a bottle on the line is defective and removed is 0.27
The probability that a bottle not on the line is defective?This probability is represented as:
Defective and Not removed
It is calculated as:
P = P(Defective) * P(Not Remove)
Using the complement rule, the probability that a defective bottle would not be removed is:
P(Not Remove) = 1- P(Remove)
P(Not Remove) = 1 - 0.9 = 0.1
So, we have:
P = 30% * 0.1
Evaluate
P = 0.03
Hence, the probability that a bottle on the line is defective and not removed is 0.03
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Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?
Answer:
$40.80.
Step-by-step explanation:
60 - 0.20*60
= 60 - 12
= $48
48 - 48*0.15
= 48 - 7.20
= $40.80.
1 3 6 10 what number comes next
Answer:
15 is the correct and answer mark me brainiest
Step-by-step explanation:
Well its because they added 2 3 4 now 5
Answer:
14
Step-by-step explanation:
there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4
In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S
Answer:
[tex]l(\widehat {ST})=6\pi [/tex]
Step-by-step explanation:
Radius (r)= RS = 12 (Given)[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)To find: [tex]l(\widehat {ST})[/tex]Formula for finding the length of arc is given as:[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex][tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex][tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex][tex]l(\widehat {ST})=6\pi [/tex]The required length of an arc ST is 6π units which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the question, we have:
θ = 90° and r = 12 units
Substitute the given values in the formula,
Arc length = 2π(12) (90/360)
Arc length = 6π
Therefore, the required length of an arc ST is 6π units.
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What percent of 4c in each expression?
c
An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
What is the expression about?An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
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Patricia has a circular swimming pool. The diameter of the pool is 15 feet. What is the area of the swimming pool.
Answer:
The area of the pool is 176.71
Step-by-step explanation:
The formula for a triangle is Area= Pi r (radius) sq.
In this problem, you need to remember that radius is half the diameter.
STEP 1: Divide the diameter in half.
STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)
STEP 3: Multiply the answer by 3.14 (or Pi)
STEP 4: You just found the area of a circle, GREAT JOB!
diameter= 15 feet
to find:the area of the circular swimming pool.
solution:[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]
[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]
[tex]a = 176.71459 \: {ft}^{2} [/tex]
[tex]a = 176.71 \: {ft}^{2} [/tex]
therefore, the area of the circular swimming pool is 176.71 square feets.
Find the arc length of the subtending arc for an angle of 35 degrees on a circle of radius 10.
Step-by-step explanation:
arc length = radius × central angle in radian
= 10 × (35 × π/180)^c
= 10 × ( 7π/36)
= 70π/36
= 70/36 × 22/7
= 55/9
= 6.111cm
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i hope my ans is helpful
Answer:
formula for length of an arc = 0 / 360 × 2ūr
Given , 0 = 35 , ū = 22/7 ,r =10
therefore; 35/360 × 2 x 22/7 ×10
= 6.111 or 55 /9
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The answer what is it
What is the area of the trapezoid? a trapezoid has a base of 10 meters, a height of 7 inches, and a top side length of 6 inches. 49 in.2 56 in.2 67 in.2 74 in.2
The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches
Area of a trapezoidThe formula for calculating the area of a trapezoid is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 10m = 393.7in
b = 6in
h = 7in
Substitute
A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches
Hence the given area of the trapezoid is 1398.9 square inches
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Answer:
The correct answer is 56. This is correct on e d g e .
Step-by-step explanation:
We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam
What are the values y = 3x
Answer:
when x=1
y= 3 × 1 = 3
when x=2
y= 3 × 2 = 6
when x=3
y= 3 × 3=9
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please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.
Answer:
2
5
Step-by-step explanation:
fraction of girls in the class is 6
5
so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4
10(total number of students) is
2
5 when simplified
There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.
Answer:
2 : 3
Step-by-step explanation:
Given :
Ratio of black cards and red cards = 1 : 1Total cards = 48Solving :
Let the cards be denoted by xx + x = 48x = 24 of each (red and black)8 red cards have been removed from the pack.
So, now the ratio is :
Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 3Somebody please explain how to solve this by formula or theorem
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...
Answer:
155
Step-by-step explanation:
Solution
[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.
E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].
Another way:
Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.Answer:
155.
Step-by-step explanation:
By the definition of a square root the answer is 155.
5. A sum of money is divided among Ethan, Jun Wei
and Raj in the ratio 5:6:9. After Ethan gives $50
Find the amount of money Ethan has after giving
to his mother, the ratio becomes 3:4:6.
$50 to his mother.
(Step by step explain pls)
Answer:
$450
Step-by-step explanation:
Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.
To start:
[tex]E:J:R = 5:6:9[/tex]
This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.
Afterwards:
[tex](E-50):J:R = 3:4:6[/tex]
This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So
E = (M/4), or 4E = M
and
[tex](E - 50) = 3/13 * (M - 50)[/tex]
We know 4E = M, so we can substitute that in:
[tex](E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500[/tex]
That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.
pls, help I will make you the branliest!
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
For what value of n does startfraction 216 superscript n minus 2 baseline over (startfraction 1 over 36 endfraction superscript 3 n?
They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9
Exponential expressionThey are written in term of power to the base of a function. Given the expression below:
[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]
This can be further simplified as:
[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]
Cancel the base to have:
3n-2 = -6n
3n+6n = 2
9n = 2
n = 2/9
Hence the value of n that will make both expression equal is 2/9
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Help me with this. Need to pass my finals
Answer:
90 degree counter clockwise rotation about the origin
reflect across the x-axis
Step-by-step explanation:
Which expression is irrational?
A 18
B 18
C 64
D 364
Answer:
all of those answers are rational numbers
Step-by-step explanation:
Each base of a right prism is a rhombus. The figure has
a vertex at (4, 0, 2). Which ordered triple represents
other vrtices of the prism? Select three options.
(-4, 0, -2)
(0, -3,2)
(0, -3,0)
(-4, 0, 2)
(0, 3, -2)
Answer:
(0, -3, 2)
(0, -3, 0)
(-4, 0, 2)
What are vertices?Corner where 2 or more edges meet.
How would you find vertices of a rhombus?If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given
[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]
be the two points.
PLEASE HURRY!!
What is the slope of the line that passes through (1, 4) and (-3, -3)?
A. -7/4
B. 7/4
C. -4/7
D. 4/7
Answer:
The slope of the line is option B
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student who plays a sport does not play an instrument?
Plays an instrument Does not play an instrument
Plays a sport 12 13
Does not play a sport 3 2
The probability that a student who plays a sport does not play an instrument is 13 / 30.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a student who plays a sport does not play an instrument = 13 / total number of students
13 / (12 + 13 + 2 + 3) = 13 / 30
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How to find LCM by factorization method
Answer:
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the same numbers in each column and the remaining numbers in each column.
4. Multiply the factors to get the LCM.
for example the lcm of 24 and 36
= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1
and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2
LCM(24, 36) = 2^2 × 3 × 2 × = 72
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What is the area of the octagon, rounded to the nearest square inch? 88 in. 2 175 in. 2 332 in. 2 700 in. 2.
Match the real-world situation with the appropriate algebraic expression. Mary is 2 years younger than her sister Claire. x/2 Monday is half-price movie day. 3x Each topping costs an additional $3. x-2 ←
Answer:
Step-by-step explanation:
A is 3 You have to minus Clares age by two to get Mary's age
B is 1 You have to divide the price in half
C is 2 the only one left