A rectangular horseshoe pit is 53 inches long and 32 inches wide.
What is the area of the horseshoe pit?
what is the value of the missing number in the sequence
4,12,36,__,324,972,2916
At a ballroom dancing lesson there were twenty-three students. Deena danced with six boys, Chloe with seven, Moira with eight and so on for all the girls up to the last girl, Anna, who danced with all the boys. How many boys were at the lesson?
First girl, Deena danced with 6 boys.
Second girl, Chloe danced with 7 boys.
Third girl, Moira danced with 8 boys.
And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.
Let's assume number of girls are 'n'.
Last term of a.p. series would be number of boys = a+(n-1)d.
Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.
Given there were 23 students.
So total students = number of girls + number of boys
23 = n + (5+n)
23 = 2n + 5
2n = 23-5 = 18
n = 9.
Hence, there were 9 girls and 14 boys.
What is the difference in the sum of the exterior angles measures of a rectangular nonagon and a rectangular dodecagon?
The sum of the exterior angles of any polygon is 360 degrees, thus the difference between the sums of the exterior angles of a nonagon and a dodecagon is 0 degrees.
The question asks about the difference in the sum of the exterior angle measures of a nonagon and a dodecagon. The key concept here is that for any polygon, the sum of the exterior angles is always 360 degrees, regardless of the number of sides.
Therefore, the sum of the exterior angles of both a nonagon (9-sided polygon) and a dodecagon (12-sided polygon) would be 360 degrees each. Consequently, the difference in their sums would be 0 degrees.
Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?
What is the outlier in the following set?
28,31,40,26,38,65,39,35,30
What's the answer to this? Also if you could explain that would be great but you don't have to! (I picked that answer by accident :/)
ASAP plzzzz help I need answerssss
The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers). Each number cannot be used more than once in the code. How many codes could there be?
A.1,000
B.720
C.30
D.120
This problem can be solved through permutation in mathematics. Without repetition, with 10 possible digits (0-9), there are 10 choices for the first digit, 9 for the second, and 8 for the third. The total number of 3-digit codes is 10*9*8 = 720.
Explanation:The subject of this question is combinations in mathematics. To solve it, you have to calculate the number of ways you can arrange 3 digits from 0-9 (10 digits), when each digit can only be used once.
This problem is a type of permutation (an ordering or arrangement of objects), specifically a permutation without repetition. With 10 possible digits (0-9), there are 10 choices you can make for the first digit. After the first digit is chosen, there are 9 digits left for the second place, and 8 digits left for the third place.
Therefore, the total number of possible 3 digit codes is calculated as follows: 10*9*8 = 720. Hence, "option B is the correct answer".
Learn more about Permutations here:
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A person needs to pay TK. 500 to by pencils and TK. X for any additinal unit of pencil.If the cumstomer pays a total of TK. 4700 for 1200 pencils what is the value of X?
Answer:
3.50
Step-by-step explanation:
First we take the 500 fee for purchasing pencils off of the total:
4700-500 = 4200
This means we pay 4200 for 1200 pencils; dividing this will tell us the amount per pencil, x:
4200/1200 = 42/12 = 21/6 = 7/2 = 3.5
Thus we pay 3.50 per pencil.
The value of X for any additional pencil is gotten as;
X = 3.5
We are told that base amount for pencils is TK. 500 and amount per pencil is TK. X.
This means formula for total cost for n number of pencils is;
C(n) = 500 + Xn
We are told that a customer pays TK. 4700 for 1200 pencils. Thus;
C(n) = TK. 4700
n = 1200 pencils
Therefore;
4700 = 500 + 1200X
1200X = 4700 - 500
1200X = 4200
X = 4200/1200
X = TK. 3.5 per pencil
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A malt shop used one-fourth of a box of waffle cones every day they were open. How many days would 2 whole boxes last them
WILL GIVE BRAINLIEST: Which of the following are solutions to the equation below
x^2+3x-18=0
A 9
B 3
C -3
D 6
E 18
F -6
Solve and graph on number line.
a-1 > -9
How many inches are equal to 10 centimeters? Remember, 2.54 cm = 1 in. Round your answer to the nearest hundredth. Do not include units in your answer.
Answer:
10 centimeters = 3.94 .Step-by-step explanation:
We are given 2.54 cm = 1 in.
We need to convert 10 centimeters into inches.
We have 2.54 cm = 1 in.
On dividing both sides by 2.54, we get
[tex]\frac{2.54}{2.54}cm = \frac{1}{2.54} in[/tex]
1cm=[tex]\frac{1}{2.54}[/tex] in.
In order to find the number of inches in 10 centimeters, we need to multiply [tex]\frac{1}{2.54}[/tex] by 10.
On multiplying [tex]\frac{1}{2.54}[/tex] by 10, we get
=[tex]10\times \frac{1}{2.54}[/tex]=3.94.
Therefore,
10 centimeters = 3.94.10 centimeters is approximately equal to 3.94 inches when converted using the conversion factor of 1 inch equals 2.54 centimeters.
The student is asking for conversion of a length measurement from centimeters to inches. Given that 1 inch equals 2.54 centimeters, you can convert 10 centimeters to inches by dividing by the conversion factor. Here's the calculation:
Identify the conversion factor: 2.54 centimeters per inch.
Divide the number of centimeters by the conversion factor: 10 cm \/ 2.54 cm/in = approximately 3.94 inches.
Therefore, 10 centimeters is approximately equal to 3.94 inches when rounded to the nearest hundredth.
If f(x) = x2 and g(x) = 1 over 2x + 3 , find g(f(-1)).
area of a square when 1 side is 44cm
HELP ASAP!! I have my Algebra EOC tomorrow and I need help on this question. Please explain!!! 30 POINTS
I need help... i don't really understand this...
In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100. a. Find the percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002. b. Which period had a higher percent of increase, 2000 to 2001, or 2001 to 2002?
The formula for percentage change is:
(New number - Original number) / Original number × 100 = Percentage change
(3640-3250)/3250 x 100 =
(390)/3250 x 100 =
.12 x 100 = 12%
(4100-3640)/3640 x 100 =
(460)/3640 x 100 =
.1263736264 x 100 = ~ 12.6%
2001 to 2002 had a higher percent of increase.
The percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002 is 12% and 12.6% respectively
Given:
2000 = 3,250
2001 = 3,640
2002 = 4,100
Percentage change2000 to 2001 = (Difference in change) / old value × 100
= (3,640 - 3,250) / 3,250 × 100
= 390 / 3,250 × 100
= 0.12 × 100
= 12%
Percentage change 2001 to 2002 = (Difference in change) / old value × 100
= (4,100 - 3,640) / 3,640 × 100
= 460 / 3,640 × 100
= 0.126373626373626 × 100
= 12.63736263736263%
Approximately,
12.6%
Therefore, the period which had a higher percent of increase is 2001 to 2002
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What is the sample space when a coin is tossed twice?
Answer:
HH, HT, TT, TH
Step-by-step explanation:
Your welcome.
USA testprep squad waz good
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description. Drag the equation into the box to match the description.A cube has a volume of 756 in³.
Answer:
Step-by-step explanation:
Out of 28 students in a class, 7 have blue eyes. What is the probability a student picked at random from the class does NOT have blue eyes?
A) 1/4
B) 3/4
C) 1/7
D) 6/7
What is the mode of the given data set? 65, 45, 79, 56, 63, 45, 71, 69, 65, 53, 45
Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.
Answer:
a , c
Step-by-step explanation:
on edge 2021
How can i find the missing angle of this shape?
Giving 10 points! Please help!
Which of the following expresses 12 + 42 by using the GCF of the two numbers? (3 points)
A. 3(9 + 14)
B. 3(4 + 38)
C. 6(2 + 7)
D. 6(6 + 36)
Sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her reading test. Lee got 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67 on his reading test. What is the mean of Sara's reading test? What is the mean of Lee's reading test? please help with both questions.
Answer:
Saras Mean on her reading test is 78
Lee's Mean on his reading test is 79
Step-by-step explanation:
You add grades for Sara's test together and then you will divide by the= number of graded test there were and you will get 78.
You add Lee's Grades for the test together and divide by the number of graded test there were and you will get 79.
The mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.
To find the mean (average) score of Sara's and Lee's reading tests, we need to add up all of the scores and then divide by the number of scores.
Let's start with Sara's scores:
Sara's scores: 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50.
Add up Sara's scores:98 + 100 + 65 + 78 + 98 + 46 + 100 + 100 + 45 + 50 = 780
Divide the total by the number of scores (which is 10):Mean of Sara’s scores = 780/10 =78
Now, let's calculate the mean for Lee's scores:
Lee's scores: 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67.
Add up Lee's scores:97 + 67 + 89 + 99 + 100 + 45 + 79 + 89 + 58 + 67 = 790
Divide the total by the number of scores (which is 10):Mean of Lee’s scores = 790/10 = 79
So, the mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.
What expression is equal to -1/3(2x+15)-3
Yesterday, Dustin biked 4 1/2 miles, jogged 2 3/4 miles, and swam 3 1/8 miles. How many miles did he travel while exercising?
Your answer would be 10 3/8 miles
Mary and her dad shared one dozen brownies 2/6 of them have nuts which dad doesn't eat how many brownies did dad not eat because they had nuts
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour