Answers:
36 red cars108 grey cars========================================================
Work Shown:
The ratio 2 red : 6 grey reduces to 1 red : 3 grey when we divide both parts by 2. For every 1 red car, there are 3 grey cars. There are triple as many grey compared to red.
Let x be the number of red cars. Since there are 3 times as many grey cars, this means 3x represents the number of grey cars.
The total number of cars can be represented by the expression x+3x = 4x
Set this equal to the total number of cars (144) and solve for x
4x = 144
x = 144/4
x = 36
There are 36 red cars.
Subtract that value from 144 to find 144-36 = 108 grey cars.
----------------------------------------
An alternative way to solve:
(2 red)/(6 grey) = (x red)/( (144-x) grey)
2/6 = x/(144-x)
2(144-x) = 6x .... cross multiply
2*144 - 2*x = 6x
288 - 2x = 6x
288 = 6x+2x
288 = 8x
8x = 288
x = 288/8
x = 36
If there are 144 vehicles in the parking lot, then 36 cars are red.
Also, 144 - x = 144 - 36 = 108 cars are grey.
Find the surface area of the square pyramid shown. Label the net to help you.
I have to show work
Answer: 40 inches squared
Labels are in the pictures
Step-by-step explanation:
To find the surface area, find the area of each side.
Square (base) : side * side = 4*4 = 16
Triangle (sides) : (base * height)/2
Assuming each side is a isosceles triangle, the base 4/2 = 2
(2*6)/2 = 12/2 = 6
Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.
6*4 + 16 = 24+16 = 40
Write each expression without the absolute value symbol. |7-(12-x)|
The expression without the absolute value symbol is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.The expression for this problem is given as follows:
7 - (12 - x).
The critical value of x is obtained as follows:
7 - (12 - x) = 0
7 - 12 + x = 0
x = 5.
Hence the expression is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.More can be learned about the absolute value function at https://brainly.com/question/3381225
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Identify all of the quadratic functions
Answer:
y=(x-2)^2 +4
y=1/4 x^2 +x-1
HELPP PLEASE!!!!!!
The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 2 at least once.
The probability?
Type an integer or a fraction
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer: 3,380
Step-by-step explanation: THIS IS MY GUESS.
Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.
A decagon is a 10-sided figure.
Divide the decagon into triangles.
Answer:
8 triangles
Step-by-step explanation:
can someone help me please? I know that I will be using the theoretical probability equation, but I just don’t know what to do
Answer:
Step-by-step explanation:
Hi there,
We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.
White socks: 2 pairs x 2 = 4 total white socks
Black socks: 4 pairs x 2 = 8 total black socks
Blue socks: 1 pair x 2 = 2 total blue socks.
Now, you add up the total amount of individual socks in the drawer.
4+8+2 = 14 socks.
We are trying the find the probability that he is going to pick a black sock. The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.
8 black socks / 14 total socks
Now that we have this fraction, we need to simplify it. The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).
What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.
I hope this helps, let me know if you have questions :)
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
a
All teachers in the school
b
All boys in each grade
c
All students in the speech club
d
All students in each grade
Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)
a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
b
Yes, it is a valid inference because he asked all 26 students in his science class
c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
A researcher posts a magazine advertisement offering $30 in exchange for participation in a short study. The researcher accepts the first three people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
a
It is not a valid sample because it is not a random sample of the population.
b
It is a valid sample because the first three people were selected to participate.
c
It is a valid sample because money was offered to participants.
d
It is not a valid sample because it is only a short study.
Answer:
Q1: D
Q2: D
Q3: B
Step-by-step explanation:
Q1: It says it in the question.
Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.
Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.
The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8
Answer: 8 people will go to e
Step-by-step explanation: it goes in order
Which of the following is a statistical question that can result in numerical data?
How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?
Answer: First, Second and Third.
Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.
The students can do 10 miles each week.
Your grandparents could have 20 pets.
The data can be plotted into a graph and this would count as statistical/numerical data.
Compare the two groups of data. Which statement is true?
A. On average basketball players are 4 inches taller than baseball players
B. On average basketball players are 9 inches taller than baseball players
C. On average basketball players are 2 inches taller than baseball players
D. On average basketball players are 3 inches taller than baseball players
Answer: A
Step-by-step explanation:
If you graph the difference, it is 4 inches since you are looking at the middle of the graph
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
Responses
A 39.139.1
B 44.044.0
C 39.039.0
D 35.235.2
E 39.2
Answer:
The answer is B. 39.0
Step-by-step explanation:
To find the average we add all the numbers then divide it by the total amount of numbers
= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9
= 352/9
= 39.111111111
Round it of to the nearest tenth
= 39.0
Please help I'll give u brainleist!
Answer:
Step-by-step explanation:
probability you roll a one is 1/6
probability you roll an 8 is 0/6
add them and the answer is 1/6
pls help its over due
Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.
___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.
Answer:
The correct answer is 7
100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that
x+(2/3)x=18
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.
Answer:
x=108 degrees
Step-by-step explanation:
We know that since ST is a line, it equals a total of 180 degrees.
Let's write an equation:
[tex]180=x+\frac{2}{3}x[/tex]
simplify
[tex]180=\frac{5}{3} x[/tex]
divide both sides by 5/3
108=x
So, x=108 degrees.
Hope this helps! :)
100 PTS PLS HELP PLS PLS PLS PLSPLSPLPLSSPLSPLSLS
Answer:
D
Step-by-step explanation:
Lets go through each answer choice and check if it is correct.
A: False. 50% of 70 is not 31.
B: False. 17% of 70 is not 17.
C: False. The fraction 8/70 does not simplify to 2/25.
D: Correct. The fraction 14/70 simplifies to 2/10.
Answer:
The answer is D, On average, 2 out of 10 adults visited the museum most frequently.
Step-by-step explanation:
You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.
The stem-and-leaf plot below shows the percentage scores on a recent sixth-grade science test.
Use the stem-and-leaf plot to determine the mode of the test scores.
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm?
Introduction to Perimeter & Area of Polygons
Answer:
1) to work out the area of a parallelogram you need to do area= base x height.
6.3x27.3=171.99m^2
2) 420.92/27.4= 15.36mm to 2 decimal places
3) 133.2x30.6=4075.92mm^2
4) 651/61=10.57m to 2 decimal places
5) (32x2)+(34x2)=132mm
6) 40x18=720mm^2
7) (8.8x2)+(7.9x2)=33.4m
8)354/23= 15.39cm to 2 decimal places
9) 44/4=11
11x11=121mm^2
10)55/4=13.75
13.75x13.75=1890.0625cm^2
11) 43x18=774m^2
12) 25x35=875m^2
13)600/16=37.5m
14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2
15) 64.3x4.3=276.49m^2
Step-by-step explanation:
PLS HELP MEEE All of the number sentences are true except.
7 3 = 343
4 2 = 16
6 3 = 18
11 2 = 121
Answer:
I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!
Cube Roots of Negative Numbers.
Thank you!♡
Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.
To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.
The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.
For n = 3, the cube root of -1 becomes:
(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).
Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).
In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).
PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm
Answer:
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 6.3 m x 27.3 m
Area = 171.99 m²
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 420.92 mm² / 27.4 mm
Height ≈ 15.35 mm
The perimeter of a rectangle is given by 2 times the sum of the base and height:
Perimeter = 2(base + height)
133.2 mm = 2(30.6 mm + height)
133.2 mm = 61.2 mm + 2 height
2 height = 133.2 mm - 61.2 mm
2 height = 72 mm
Height = 72 mm / 2
Height = 36 mm
To find the height of a parallelogram, divide the area by the base:
Height = Area / Base
Height = 645 m² / 61 m
Height ≈ 10.57 m
The perimeter of a parallelogram is the sum of all its sides:
Perimeter = 2(base + side length)
Perimeter = 2(32 cm + 34 cm) + 2(height)
Perimeter = 2(66 cm) + 2(19 cm)
Perimeter = 132 cm + 38 cm
Perimeter = 170 cm
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 40 mm x 18 mm
Area = 720 mm²
The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)
Perimeter = 2(7.9 m + 8.8 m)
Perimeter = 2(16.7 m)
Perimeter = 33.4 m
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 354 cm² / 23 cm
Height ≈ 15.39 cm
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 44 mm / 4
Side length = 11 mm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 11 mm x 11 mm
Area = 121 mm²
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 55 cm / 4
Side length = 13.75 cm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 13.75 cm x 13.75 cm
Area ≈ 189.06 cm²
Caden rolls two fair number cubes numbered from 1 to 6. He first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 6? (5 points)
a. 5 over 36
Selected:b. 6 over 36This answer is incorrect.
c. 7 over 36
d. 8 over 36
Answer:
B. 6 over 36
Step-by-step explanation:
As we are given the sample space, the events that sum to 6 are:
{(1,5), (2,4), (3,3),(4,2),(5,1)}
Let n(S) be the number of items in sample space
n(S) = 36
Let E be the event the sum is 6
Then,
n(E) = 6
So,
P(Sum of two cubes is 6) = n(E) / n(S)
= 6/36
So, the correct answer is:
B: 6/36
Answer:
B. 6 over 36
Step-by-step explanation:
the table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
LOOK AT THE PICTURE AND PLEASE HELP!!
Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.
Step-by-step explanation:
Which number describes the median of the data given in the table?
Responses
A 24.224.2
B 2323
C 2222
D 2828
Question 2
Which number describes the range of the data given in the table?
Responses
A 66
B 2323
C 2222
D 28
The number which describes the median of the data given in the table is 23. option B.
The number which describes the range of the data given in the table is 6. Option A.
What is the median and range of the data given in the table?Arrange the average gas mileage in ascending order
22, 22, 23, 26, 28
The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.
The median is 23
Hence, the range of the data set refers to the difference between the highest and lowest data.
= 28 - 22
= 6
Read more on median and range:
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whats the surface area? sorry if im annoying
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
SA=2B+Ph
Find the area of each face. Add up all areas.
PLS HELPPPPPP *100 POINTS***
Answer:
6.9 if a triangle pyramid
Step-by-step explanation:
If triangle pyramid,
1/3(b)(h)
1/3(200)(h)=460
h=6.9
HELPP!!
The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
Type an integer or a fraction
Answer: 7/16
Step-by-step explanation:
Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.
Work out the area of the trapezium
(some please help, i forgot how to do this )
Answer:
48cm
Step by step:
The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.
Answer:
The area of the Trapezium is 48cm².
Step-by-step explanation:
A trapezium has a pair of Parallel Lines.
Let’s mark the line that is on the top as A and the bottom one as B.
Length of line A (Base 1) = 7cm
Length of line B (Base 2) = 9cm
Height of Trapezium = 6cm
Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height
= {( 7cm + 9cm ) / 2} * 6cm
= ( 16cm / 2 ) * 6cm
= 8 cm * 6cm
= 48cm²
The area of the Trapezium is 48cm².
Hope my answer helps you ✌️
Mark BRAINLIEST
Help Please
find the solution to this system of equations
Answer:
-8x + 4y = 24 ----> 2x - y = -6
-7x + 7y = 28 ----> -x + y = 4
-------------
x = -2, y = 2
What could thy answer be?
Answer: 36
Step-by-step explanation:
There are a total of 36 numbers, you can find that out by multiplying 6 x 6.
There is only 1 number pair can has a sum of 2 which is 1,1