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x
10
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The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?
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Answer:
6 inches.
Step-by-step explanation:
If the width is x inches then the length is x + 3.
S0
Perimeter = 2x + 2(x +3)
18 = 2x + 2x + 6
4x = 18 - 6 = 12
x = 3.
So the length = 6 inches.
Perimetre = 18 inch
Let the width be x
length = x+3
Perimetre of rectangle = 2(length+width)
18 = 2[(x+3)+x]
18 = 2(2x+3)
18 = 4x+6
4x = 18 - 6
4x = 12
•°• x = 12/4 = 3
Length = x+3 = 3+3 = 6
•°• The length of rectangle is 6 inch.
5/6 divided by 3/4 in simplest form
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Answer: The answer is 1 1/9.
Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.
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Answer:
2 Beetle juices and 3 Potion Punch
Step-by-step explanation:
j = Beetle Juice cost $2.50
p = Potion Punch Cost $3
j + p = 5 Multiply by -3 -3j - 3p = -15
$2.50j + $3p = $14 Do not change + 2.50j -3p = 14
- .50j = -1
j = 2 Beetle Juice
Substitute into the fist equation and solve for y j + p = 5
2 + p = 5
p = 3 Potion Punch
The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?
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Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.
This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?The rule of three is:
3 people - 40 minutes
5 people - x minutes
Applying line multiplication:
[tex]5x = 120[/tex]
[tex]x = \frac{120}{5}[/tex]
[tex]x = 24[/tex]
It would take 24 minutes if there were 5 people distributing the pamphlets.
You can learn more about proportions at https://brainly.com/question/24372153
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold
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The combined amount of cats sold is 117.
Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.
The ratio of Siamese cats to house cats = 4 : 9
Number of Siamese cats = 36
Number of combined cats = c
This equation can be formed using the above information:
4/13 x c = 36
4c = 468
c = 468 / 4
c = 117
A similar question was answered here: https://brainly.com/question/411732
On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
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Answer:
They sold 111 Hamburgers
Step-by-step explanation:
Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.
So, X+3X=444 is what you need to solve this. This is the same as 4x=444
So, x=111
Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers
Simplify and leave your answer in index form
Answers
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
-3/10 + 4/15
Solve the above problem
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Answer:
-1/30
Step-by-step explanation:
find the lcm of 10 and 15
then solve it
You want to make sugar cookies and chocolate chip cookies. You have only one dozen eggs and 20 cups of flour. For each batch of sugar cookies you need 1 egg and 2 cups of flour, for chocolate chip cookies you need 2 eggs and 2 cups of flour per batch. You know you need to make at least 3 batches of sugar cookies. How many of each type should they make to get the best profit?
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Answer:
check online for more information
6 remainder 1 as a fraction
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What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
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Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
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Bye hope this help!
Hey y’all, please help me with this.
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Answer:
Select all numbers greater to or equal to 48. (48, 49, 51, 53, 58)
x ≥ 48
Step-by-step explanation:
If you divide both sides by two because you have a 2x and you need to get a single x, you would get x ≥ 48 (96 divided by 2) you would select all numbers greater to or equal to 48.
Answer:
48, 49, 51, 53, 58
Step-by-step explanation:
Equivalent inequality
96 ≤ 2x
To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?
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Y = 18.50
Please tell me if it is right XD <3
my Christmas present to you
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oh wow, thank you!
Hope you have a merry christmas!
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
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Step by step explanation:
10:45
-7:30
———
3:15
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
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Answer:
£3691 (nearest pound)
Step-by-step explanation:
Consider the rate of compound interest is r and the initial amount of savings is P, hence
[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]
Therefore, the final amount of savings after nth years of compund interest is
[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].
Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus
[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]
Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.
[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]
2x+y=−1.5
y=3.5x+15.
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Answer:
x=-3, y=4.5
Step-by-step explanation:
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
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Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.
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Answer:
40
Step-by-step explanation:
The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-
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The total amount of revenue on the 23rd day is 322.65
Given the following parameters:
purchases made p(d) = 15d + 45sales made s(d) = 0.15d² – 4d + 80The revenue will be exprssed as:
r(d) = s(d) - p(d)
r(d) = 0.15d² – 4d + 80 - (15d + 45)
r(d) = 0.15d² – 19d + 35
Hence a function R(d) to model the total daily revenue is r(d) = 0.15d² – 19d + 35
To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function
r(d) = 0.15d² – 19d + 35
r(23) = 0.15(23)² – 19(23) + 35
r(23) = 79.35 - 437 + 35
r(23) = -322.65
Hence the total amount of revenue on the 23rd day is 322.65
Learn more on function here: https://brainly.com/question/14307385
PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.
A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
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The sum of a number and negative three, multiplied by the number?
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Answer:
x² - 3
This expression is not linear
Step-by-step explanation:
Let x = unknown number
The sum of a number and negative 3
Sum = addition
We are adding the unknown number "x" and -3
So we have x + (-3) or just x - 3
The sum of that is multiplied by the unknown number
So we get ( x - 3 ) x
We can then simplify this expression to get x² - 3x
Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line
How do I find domain and range.
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Answer:
The domain is all the x values and the range is all the y values.
Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.
I'm just going to assume this is scaled by 1 unit per square
Here are all the points on the graph:
(-6, -1)
(-4, 3)
(-4, -6)
(0, 2)
(2, -2)
(5, 7)
Now just split them into their x and y values
The Domain: -6, -4, 0, 1, 5
The Range: -1, 3, -6, 2, -2, 7
Answer:
Interval notation
Domain: [-6, 5]Range: [-1, 7]Step-by-step explanation:
The domain is the x-value on the x-axis. The range is the y-value on the y-axis.
Find the two highest points on opposite sides in the graph.
find the x-values (refer to the image below)find the y-values (refer to the image below)After this step has been completed, you can write it in different forms, for example in interval notation:
The domain would be [-6, 5]
The range would be [-1, 7]
Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".
6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.
Answers
Answer:
33.92
Step-by-step explanation:
40 x .2= 8
40-8= 32
32x.06=1.92
32+1.92= 33.92
What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.
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The height of the triangle is 15 meters.
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Types of triangles
Right triangle Equilateral triangle Isosceles triangle Scalene triangleArea of a triangle = 1/2 (base x height)
height = (2 x area ) / base
(2 x 67.5) / 9
= 135 / 9
= 15 meters
Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890
What is the exact value of tan(−π4)?
Enter your answer in the box.
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Answer:
What is the exact value of tan(−π4)? is 20
IF YOUR QUESTION IS...
What is the exact value of tan(-pi/4)?
Answer: -1
here's another one
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Answer:
Supplementary Angles
x = 62
Step-by-step explanation:
Supplementary angles equal 180.
180 - 118 = 62
I hope this helps!
i need help asap)))))))))))))))))))))
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Answer: a
Step-by-step explanation:
u do 1+1
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Scale down 1/2 and a 180 degree flip