Answer:
284 2/3 square yardsStep-by-step explanation:
Area of rectangle:
A = lwA = 30 1/2 * 9 1/3 = 61/2 * 28/3 = 854/ 3 = 284 2/3 square yardsAnswer:
284 ²/₃ square yards
Step-by-step explanation:
Area of a rectangle
Area = length × width
Given:
length = 30 ¹/₂ yardswidth = 9 ¹/₃ yardsSubstitute the given values into the formula and solve for area:
[tex]\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}[/tex]
Therefore, the area covered by the tent is 284 ²/₃ square yards.
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend continues each day. Write an equation modeling the views, v, as a function of time. What would be the day when more than 20,000 people will see the video
Answer:
Day 13
Step-by-step explanation:
The question can be represented with a geometric sequence
Where,
a = 5
Common ratio , r = 2
v(t) = a * r^(t - 1)
v(t) = 5 * 2^(t-1)
20,000 = 5 * 2^(t-1)
Divide both sides by 5
20,000 / 5 = 5 * 2^(t-1) / 5
4,000 = 2^(t-1)
2^12 = 2^(t-1)
12 = t - 1
12 + 1 = t
t = 13 days
What would be the day when more than 20,000 people will see the video
Check:
v(t) = 5 * 2^(t-1)
= 5 * 2^(13-1)
= 5 * 2^12
= 5 * 4,096
= 20,480
Therefore,
The day when more than 20,000 people will see the video is day 13
An animal shelter house ferrets, rabbits and dogs. There are 96 animals at the shelter. Of the animals 1/3 are ferrets. 7/8 of the remaining animals are rabbits. How many are dogs? Show your work.
Answer: 8 dogs
Step-by-step explanation:
There are 96 animals in the shelter.
1/3 are ferrets which means that the number of ferrets is:
= 1/3 * 96
= 32 ferrets
Remaining animals:
= 96 - 32
= 64 animals
7/8 of the remaining are rabbits:
= 7/8 * 64
= 56 rabbits
Number of dogs is what is left so:
= 64 - 56
= 8 dogs
Mrs. Hana paid for 30 tickets that cost $7 and $5 with $200. She was given $14 in charge. How many $7 movie tickets did she buy?
Solve it in Singapore Math-Using Models
Answer:
18 tickets at $7
Step-by-step explanation:
You want a "Singapore Math" model solution to the number of $7 tickets Mrs. Hana bought if she got $14 change from $200, and she received a total of 30 tickets, some of which cost $5 each.
ModelThe attachment shows the model we decided upon. Starting from $200, we subtract $14 in change, then divide the remainder into tickets costing $7 each and tickets costing $5 each. The point where the total number of tickets is 30 is the point that identifies the solution.
Mrs. Hana bought 12 tickets at $5 each, and 18 tickets at $7 each.
__
Additional comment
Most illustrations of Singapore Math models are solving for a single variable. Here, we must choose values for two variables (the numbers of $5 and $7 tickets) so the intended model isn't clear.
The model we have used is adequate for the purpose, but tedious to construct. It requires us to identify the point at which the count of $7 tickets (top bar) and the count of $5 tickets (bottom bar) has a sum of 30.
PLEASE I NEED HELP ASAP
A truck travels at a speed of 55 miles per hour. Which representation shows the distance the truck can travel at this rate?
Answer:
The answer is D
Step-by-step explanation:
55 miles multiplied by 1 hour is 55,
55 miles multiplied by 2 hours is 110,
55 miles multiplied by 3 hours is 165,
55 miles multiplied by 4 hours is 220,
and 55 miles multiplied by 5 hours is 275
Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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What is the volume of the cylinder? Do not round your answer. (Use 3.14 for π .)
with:12
hight:15
Answer:
When I used a cylinder calculator I got 6785.84 yd^3
Step-by-step explanation:
which values from the set (2,4,6,8,10) make the inequality n + 5 > 10 true ?
Answer: Values; 6,8,10
Step-by-step explanation:
❌ 2 + 5 > 10
❌ 4 + 5 > 10
✔️ 6 + 5 > 10
✔️ 8 + 5 > 10
✔️ 10 + 5 > 10
A hexagon has angles that measure 155°, 80º, 1150, 160°, 110°, and c. What is c?
No links!! I repeat NO links!!
Answer:
c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100
please help me!! i’ll give brainliest the the best answer
Answer:
C will be the answer for this
If the original quantity is 8 and the new quantity is 4, what is the percent increase?
The percent increase is 50%.
What is percentage increase?The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.
i.e percentage increase = (old value - new value)/ old value
If the new quantity were be have decreased, then the percentage decrease can also be determined.
Considering the given question, the percentage increase can be determined by;
old quantity = 8
new quantity = 4
So that,
percentage increase = (old value - new value)/ old value
= (8 - 4)/ 8 *100%
= 4/ 8 * 100%
percentage increase = 50%
The percent increase is 50%.
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Find x
1.5
0.9
Ifkdkxnfjcjxnfdkmdxn
Answer:
Step-by-step explanation:
Remark
You are trying to find one of the legs of a right triangle. All you need is the Pythagorean Theorem.
Formula
x^2 + y^2 = c^2
Givens
x = ?
y = 0.9
c = 1.5
Solution
x^2 + 0.9^2 = 1.5^2
x^2 + 0.81 = 2.25 Subtract 0.81 from both sides
x^2 = 2.25 - 0.81
x^2 = 1.44 Take the square root of both sides
sqrt(x^2) = sqrt(1.44)
x = 1.2
What i the lope of the line through (-9,6)(−9,6)left parenthei, minu, 9, comma, 6, right parenthei and (-6,-9)(−6,−9
The slope of the line through (-9,6) and (-6,-9) is -5
Now, According to the question:
Let's know:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The formula for the slope of a line when two points (coordinate pairs)
[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given is :
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] , where m denotes the slope of the line.
Applying this formula, we get:
[tex]m = \frac{-9-6}{-6-(-9)}[/tex]
[tex]m = \frac{-15}{-6+9}[/tex]
m = [tex]\frac{-15}{3}[/tex]
m = -5
Hence, The slope of the line through (-9,6) and (-6,-9) is -5.
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The complete question is this:
What is the slope of the line through (-9,6) and (-6,-9) ?
Katie has 3/4 of a yard of rope which she needs to divide into pieces, each 1/8 of a yard long. how many pieces will she have left?
Answers:
1/6
7
1/8
6
Answer:
not really understanding this question, but I think 6.
Step-by-step explanation:
3/4=6/8
18,54, 162, ...
Find the 8th term.
Answer:
a₈ = 39366
Step-by-step explanation:
The terms have a common ratio between consecutive terms
r = 54 ÷ 18 = 162 ÷ 54 = 3
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 18 and r = 3 , then
a₈ = 18 × [tex]3^{7}[/tex] = 18 × 2187 = 39366
What are the potential solutions to the equation below? 1ln(x+3)=0
A. x = -3 and x = -4
B. x = -2 and x = -4
C. x = 2 and x = -3
D. x = 2 and x = 4
The potential solutions to the equation are x = -2 and x = -4
What is logarithm ?A logarithm is the power to which a number must be raised in order to get some other number .
The given expression is ln(x + 3) = 0
It can be rewritten as
[tex]ln _e (x + 3) = 0[/tex]
[Since base of a natural logarithm is considered as e]
[tex]e^0 = (x + 3)[/tex]
Since in a logarithmic function if log b with base e = c
Then we further solve the expression to get the possible roots.
x + 3 = 1
x = 1-3
x = -2
Therefore, the potential solutions are x = -2 and x = -4
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Lynn is a zoo kepper at matlock zoo.her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a week?
Answer:
48 hours
Step-by-step explanation:
Answer:
48 hours
Step-by-step explanation:
328.80 a week, and a 6.85 hourly rate.
To find hours worked:
$328.80 (total earned) / $6.85 (earned hourly) = 48 hours
A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.
Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other?
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective than B.
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that B is more effective than A.
No, because a difference in mean rating of 1.5 or less occurred 167 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
answer is D
The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
What is the conclusion of the sample research?We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.
Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).
We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A. Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
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Can you solve Pythagorean theorem with only C?
The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.
Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).
Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:
#include <stdio.h>
#include <math.h>
Above command is for library
int main() {
double a, b, c;
Above command to initiate the variable.
printf("enter the first side's length.: ");
scanf("%lf", &a);
To enter the value in program
printf("enter the second side's length.: ");
scanf("%lf", &b);
Enter the value and print the value
c = sqrt(a*a + b*b);
Arithmetic command
print("The hypotenuse's length is: %lf\n", c); return 0;}
Print the value and return the program value to zero.
This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.
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Rewrite in simplest terms: 4 (d+9) -8 (-3d-3)
Answer:
28d + 60
Step-by-step explanation:
4d + 36 + 24d + 24
28d + 60
First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.
1. Calculate the volume of the following figure.
H=2cm
W = 2cm
L = 5cm
Answer: It should be 2 x 2 x 5 = 20cm
Step-by-step explanation: Formula- volume = length x width x height
I hope this helps:)
Answer:It would be..
Step-by-step explanation:
5 x 2 = 10, And then we multply the with the 10. 10 x 2 = 20,
The Answer is 20.
A rectangular piece of land is 1/4 miles long and a 1/2 mile wide what is the area of the piece of land in square miles
Answer:
1/8 square miles
Step-by-step explanation:
1/4 times 1/2 = 1/8
Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps
2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?
Max mowed the lawns for 6 hours and tutored students for 8 hours.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192.
We can write the system of equations as -
x + y = 14
12x + 15y = 192
Refer to the graph attached. On solving the equation graphically, we get-
x = 6, y = 8
Therefore, Max mowed the lawns for 6 hours and tutored students for 8 hours.
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How do you tell if a log graph is growth or decay?
To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.
A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.
If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.
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What are the dimensions of a rectangle with an area of 96 square centimeters and a perimeter of 40 centimeters?
please help me with my math
(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)
Someone!!!! Please help me
I will mark the person brainliest who answers with an actual correct answer
Due soon!!
Answer:
120
Step-by-step explanation:
what is the median of 18 20 20 21 25 27 28 30 30 and 31
Answer:
the median is 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
first list in numerical order
18,20,20,21,25,27,28,30,30,31
/ / / / / / / /
you are left with 25 and 27 and in-between that is 26 so 26 is the median
The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR
The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.
The distance between any two points A(a,b) and B(c,d) in the plane is given by,
AB = √((c-a)²+(d-b)²)
Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).
The triangle is scalene so length of every side is different.
Now, Using the above formula,
RS = √((2+4)²+(-2-4)²)
RS = √(36+36)
RS = √72
ST = √((2+2)²+(3+2)²)
ST = √(16+25)
ST = √41
TR = √((2+4)²+(3-4)²)
TR = √(36+1)
TR = √37
So, Brian is correct, the triangle is a scalene triangle.
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