use the formula of a circle or pi times radius r squared = Area then use the formula for the circumfrence of a circle which is two times pi time radius r = circumfrence then isolate r in the formula (for area)
sqrt(A/pi) then multiply the raduis r by 2*pi to get the circumference
C = 2*pi*sqrt(A/pi)
Answer:
See below
Step-by-step explanation:
Given the area A you can find the radius of a circle.
A = πr^2
so r^2 = A / π
and r = the positive square root of A/π.
Having found the radius r you can calculate the circumference C using
C = 2πr.
a number is multiplied by 5, and then 3 is subtracted from th product. the result is 12
Answer:
3 would be the original number :D
Step-by-step explanation:
3x5 = 15. 15 - 3 = 12.
To solve this problem, we need to use algebra to find the value of the unknown number.
Explanation:To solve this problem, we can use algebra. Let's let the number be represented by the variable x. According to the problem, 5 times x minus 3 equals 12. We can write this as the equation 5x - 3 = 12. To find the value of x, we need to isolate it on one side of the equation. Adding 3 to both sides, we have 5x = 15. Then, dividing both sides by 5, we get x = 3.
This is a basic algebraic problem. To solve it, we have to set up an equation. Let's denote the unknown number as x. According to the problem, the number (x) is multiplied by 5, and then 3 is subtracted from the result. This operation reaches the final result which is 12. Written in form of equation, it is: 5x - 3 = 12.
To solve for x, you need to isolate it on one side of the equation. First, add 3 to both sides of the equation to get rid of the -3 on the left side: 5x = 12 + 3, or 5x = 15. Then, you divide both sides by 5: x = 15 / 5. So, the value of x is 3.
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A study was done to investigate the population of a certain species of animal over time. The correlating linear model is shown below, where x represents the number of years after 1955, and y represents the number of that certain species. Interpret the y-intercept.
y = 5,000 + 500x
A. There were 1,000 of that species in 1955.
B. There were 10,000 of that species in 1955.
C. There were 500 of that species in 1955.
D. There were 5,000 of that species in 1955.
Answer: D
Step-by-step explanation:
5,000 + 500x = 5,500x
Answer:
D. There were 5,000 of that species in 1955.
Step-by-step explanation:
The initial population of the species is equal to the y-intercept of the first-order polynomial. Hence, the right answer is D.
Mandy competed in a race that included running and biking.Mandy ran 1 3/4 and bicycled 3.6 miles. Mandy total time was 0.7 hour what was Mandy approximate average speed on miles per hour. A. 3.75 miles per hour. B. 6.87 miles per hour. C. 7.06 miles per hour. D. 7.64 miles per hour
Answer:
1 3/4 = 7/4 = 1.75 miles (ran);
1.75 + 3.60 = 5.35 miles ( ran and bicycled);
average speed = 5.35 / 0.7 = 7.64 miles per hour;
The correct answer is D.
Step-by-step explanation:
Provided:
- Alex purchased 1 adult ticket and 2 student tickets for a total of $22.
- Jen purchased 1 adult ticket and 3 student tickets for a total of $28.
What is the price of a student ticket?
A. $6.00 B. $8.00
C. $10.00 D.$12.00
In a certain Algebra 2 class of 29 students, 5 of them play basketball and 16 of them play baseball. There are 10 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
a milkyway bar is 5 inches long. The bar will be split into two pieces. For each situation find the length in inches of the two pieces and write your answer as the ratio of the larger piece to the smaller piece. Show your work
A) one piece is 1 inch longer than the other?
B) one piece is 60% of the bar
HELPPPPPPPP ASAP
Answer:
A)one is 3 inches and the other is 2 inches.2:5 and 3:5
B)It would be still b three and two because 3/5 of the chocolate bar is 60% and 2/5 is 40%.
Step-by-step explanation:
A) If the bar is 5 inches long and it is broken into two pieces with one that measures an inch longer then you would find that if broken in half it would be 2.5, so if you take the other point 0.5 off of the other 2.5 and add it to the other half then it would have on piece that is an inch longer than the other piece.3+2=5
B) 5(0.6) =3
For Scenario A, the Milky Way bar is divided into two pieces where one piece is 1 inch longer than the other, resulting in lengths of 3 inches and 2 inches, with a ratio of 3:2. In Scenario B, one piece is 60% of the entire bar, equating to 3 inches and 2 inches for the two pieces, again with a ratio of 3:2.
A Milky Way bar is 5 inches long and is split into two pieces.
Scenario A: One Piece Is 1 Inch Longer Than the Other
Let's denote the length of the shorter piece as x. According to the problem, the longer piece would then be x + 1 inch. Since the two pieces together must add up to the total length of the bar, which is 5 inches, we can set up the following equation:
x + (x + 1) = 5 inches
2x + 1 = 5 inches
2x = 5 inches - 1 inch
2x = 4 inches
x = 2 inches
The shorter piece is 2 inches, meaning the longer piece is 2 inches + 1 inch = 3 inches.
The ratio of the longer piece to the shorter piece is therefore 3:2.
Scenario B: One Piece Is 60% of the Bar
In this case, one piece is 60% of 5 inches. We calculate this piece as follows:
60% of 5 inches = 0.60 * 5 inches
= 3 inches
Since one piece is 3 inches, the other piece must be 5 inches minus 3 inches, which is 2 inches. The ratio of the larger piece to the smaller piece is 3:2, the same as in Scenario A.
If f(x)=x^2 +5 and g(x)=5x+4, what is the [fg](6)
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
(
f
g
)
(
x
)
=
f
(
x
)
g
(
x
)
(
g
f
)(x)=
g(x)
f(x)
=
3
x
+
2
4
−
5
x
What is the value of X?
Answer:
w = 31
Step-by-step explanation:
To find the value of w:
We know that the three angles in a triangle add to 180 degrees
w + w + (4w-6) =180
Add like terms
6w-6 = 180
Add 6 to each side
6w -6+6 =180+6
6w = 186
Divide each side by 6
6w/6 = 186/6
w = 31
Write the first five terms of the sequence defined by the explicit formula.
Answer:
(a) 112, 28, 7, (7/4), (7/16)
Step-by-step explanation:
The sequence is given by the explicit formula
[tex]a_{n} = 112 (\frac{1}{4} )^{n-1}[/tex]
The terms of the sequence are :
[tex]a_{1} = 112 (\frac{1}{4} )^{1-1} = 112 (\frac{1}{4} )^{0} =112 [/tex]
[tex]a_{2} = 112 (\frac{1}{4} )^{2-1} = 112(\frac{1}{4} ) =28 [/tex]
[tex]a_{3} = 112 (\frac{1}{4} )^{3-1} = 112(\frac{1}{4} )^{2} = 7 [/tex]
[tex]a_{4} = 112 (\frac{1}{4} )^{4-1}=112(\frac{1}{4} )^{3} = \frac{7}{4}[/tex]
[tex]a_{5} = 112 (\frac{1}{4} )^{5-1}=112 (\frac{1}{4} )^{4} = \frac{7}{16}[/tex]
3 octavos de una caja contiene 18 galletas, cuantas galletas contiene una caja?
Answer:
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Multiplica tres por 18
explicit formula for 12,19,26,33,40
Answer:
Step-by-step explanation:
The common difference is 7
Since the common difference is 7
a_n = 12+(n-1)7
a_n = 12+7n -7
a_n = 5+7n
11z 5 = 9z + 7 how do u solve this?
Answer:Z=1
Step-by-step explanation: if it is 11z+5, then... minus 9z on each side to get 2z+5=7. Minus 5 on each side to get 2z=2. Divide bboth sides by two to get 1z=1.
You solve the equation 11z + 5 = 9z + 7 by first isolating for z terms and constant terms on opposite sides of the equality, then dividing by the coefficient of z to get z = 1.
Explanation:To solve the equation 11z + 5 = 9z + 7, we need to get all the z terms on one side of the equation and the constant terms on the other side. We start by subtracting 9z from both sides to get 2z + 5 = 7. Then, subtract 5 from both sides to get 2z = 2. Finally, divide both sides by 2 to solve for z which gives us z = 1.
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By the end of Monday, a grocery distribution center has 240 cases of green beans in its warehouse. Every day, the center delivers 18 cases of green beans to various stores. How many cases of green beans does the warehouse have after deliveries on Tuesday, Wednesday, Thursday?
A. 240, 204, 168
B. 222, 204, 186
C. 256, 276, 294
D. 240, 222, 204
Answer b
Step-by-step explanation:
the answer is b becasue on tuesday you deliver 18 then you now have 222 cases on tuesday and on wednesday you have 204 now because you delivered 18 then on thursday you now have 186 because you delivered 18 and alltogether you delivered 54 cases in three days so 240 minus 54 equals 186 because each day you deliver 18 and 18 times 3 is 54 so 54 minus 240 eguals 186 and 186 plus 18 is 204 and 204 plus 18 is 222 so b would be the correct answer
At the grocery store, 5 pints of ice cream cost $7.20. How much would 20 pints of ice cream cost?
Please help solve
Math again
Answer:
The answer is A and b=18.
Step-by-step explanation:
27=b+9 and then subtract 9 from each side to get b=18
What’s the slope between (19,3) and (20,3)
Keisha and her friends visit the concession stand at the basketball game. The stand charges $2 for a hotdog and $1 for a drink. The friends buy a total of 8 items for $11. How many hot dogs and how many drinks did they buy? Show your work and explain your reasoning. (please help, for math homework)
Answer:
They bought 3 hot dogs and 5 drinks
Step-by-step explanation:
Well, its mostly guess and check.
x=hot dogs y= drinks x+y=8
2x + 1y =11
2(1) + 1(7) = 9 (wrong answer)
2(2) + 1(6)= 10 (wrong answer)
2(3) + 1(5) = 11 (right answer)
The reason I pick these numbers is because the x and the y need to add up to 8 and as you can see on each try they added up to 8 but it also had the equation itself had to add up to $11. So, you substitute the numbers that add up to 8 to x and y to make sure the equation equals 11.
Final answer:
Keisha and her friends purchased 3 hotdogs and 5 drinks at the concession stand. This was determined by setting up a system of equations based on the given costs for items and the total amount spent and solving for the variables representing hotdogs and drinks.
Explanation:
To solve Keisha's concession stand problem, we need to use a system of equations. Let's define two variables: x for hotdogs and y for drinks. According to the problem, the friends bought a total of 8 items for $11. The price is $2 per hotdog and $1 per drink. We can set up the following equations:
1) x + y = 8 (for the total number of items)
2) 2x + y = 11 (for the total cost)
Solving the system, we can subtract the first equation from the second to find the number of hotdogs:
2x + y - (x + y) = 11 - 8
x = 3
Now, we substitute x back into the first equation to find y:
3 + y = 8
y = 5
Therefore, Keisha and her friends bought 3 hotdogs and 5 drinks.
Toby found a $52 wallet on the clearance rack for 60% off. If sales tax is 6.25%, how much will he pay in total?
Toby has to pay 22.1$ in total for the wallet.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given that, Toby found a $52 wallet on the clearance rack for 60% off.
So.
The price of wallet after discount = 52 * (1 - 60%)
The price of the wallet after the discount = 52*0.4
The price of the wallet after the discount = 20.8
Since there is a sales tax of 6.25%
Thus the purchasing Price of the wallet = 20.8(1 + 6.25%)
the purchasing Price of the wallet = 22.1
therefore, If the sales tax is 6.25%, he will pay $22.1 in total.
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When fractions have the same denominator, their _____ also has the same denominator.
For this case we have to, by definition:
The sum of fractions with the same denominator consists of adding the numerators and placing the same denominator.
For example:
[tex]\frac {a} {b} + \frac {c} {b} = \frac {a + c} {b}[/tex]
So:
When fractions have the same denominator, their sum also has the same denominator.
Answer:
When fractions have the same denominator, their sum also has the same denominator.
What is m∠S?
Enter your answer in the box.
__°
An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Sides R S and side S T are equal. Angle R is labeled as 3 x degrees, angle S is labeled as 2 x degrees, and angle T is labeled as 3 x degrees.
Answer:
∠S = 45°
Step-by-step explanation:
As given in the question, ∠R = 3x ; ∠S=2x ; ∠T=3x
So by using angle sum property of a triangle that sum of all the angles of a triangle is 180°.
We get, ∠R+∠S+∠T = 180
[tex]3x+2x+3x=180\\8x=180\\x=\frac{180}{8}[/tex]
So, ∠S=2x
∠S=[tex]2\cdot \frac{180}{8}[/tex]
∠S=45°
Answer:
m∠S= 45°
Step-by-step explanation:
Given an isosceles triangle ABC.
& m∠R = m∠T = 3 x, m∠S = 2 x
The sum of all the angles of triangle is equal to 180°
⇒ m∠R + m∠S + m∠T = 180°
3 x + 2 x + 3 x = 180°
⇒ 8 x = 180°
⇒ x = [tex]\frac{180}{8}[/tex]
⇒ x = [tex]\frac{45}{2}[/tex]
Hence, m∠S = [tex]2\times\frac{45}{2}[/tex]
= 45°
Raj ordered 3 large pizzas for a party. At the end of the party, some of each pizza was left, as shown below.
If all the pieces are put together, what fraction of one whole pizza is left?
A.1/2
B.3/4
C.5/8
D.9/16
What is the sum of these two mixed numbers, expressed in lowest terms?
A.5 3/4 B.
5 3/10
C.4 2/3
D.4 3/10
There are 5 cups of goldfish on the counter. Each student receives 1/6 of a cup of goldfish. How many students can be fed with the 5 cups of goldfish?
Answer:
The only one I can do is the last one. 30 students.
Step-by-step explanation:
5 / (1/6)
30
The following data show the prices of different types of outfits at a store: $2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30 Which statement is correct about the box plot for the above data? The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.
2, 2, 25, 25, 26, 26, 27, 28, 28, 30
Minimum: 2
Maximum: 30
Median: 26
Lower quartile: 25
Upper quartile: 28
The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Just so you know, I didn't write this. Next time, do a google search for your answer. But in the mean time, here you go.
Answer: Number 3- The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
Step-by-step explanation:
The following data show the prices of different types of outfits at a store:
$2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30
Which statement is correct about the box plot for the above data? (1 point)
1. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the right.
2. The box plot will have its right tail longer than the left tail because a few exceptionally low prices make the distribution skewed to the left.
3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
4. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the right.
The two $2 at the beginning of the data are outliers. They are exceptionally lower than all the other numbers, meaning they will be alone at the beginning of the data. That is the left! Now, it is number 3 and not 4 because it makes the data skewed to the left because of the low prices, not right. The two $2 hang off to the left. Which means the answer is number 3!
3. The box plot will have its left tail longer than the right tail because a few exceptionally low prices make the distribution skewed to the left.
two less than the product of a number and three Evaluate when f = 4.5. Evaluating an Algebraic Expression Write and evaluate the expression shown on the left. Then, check all that apply. Write the expression as 2 – 3f. Write the expression as 3f – 2. Write the expression as 2f – 3. The value when f = 4.5 is 6.75. The value when f = 4.5 is 6. The value when f = 4.5 is 11.5.
Answer:
Write the expression as 3f – 2.
The value when f = 4.5 is 11.5.
Step-by-step explanation:
Let f be the number.
Then the product of the number and three is 3f.
Two less than 3f is 3f -2.
=====
f(4.5) = 3×4.5 - 2
f(4.5) = 13.5 - 2
f(4.5) = 11.5
Answer:
Write the expression as 3f – 2.
The value when f = 4.5 is 11.5.
first and last
B and F
Step-by-step explanation:
Answer options are A,B,C. Please help ASAP!!
Answer:
Graph B has 1 real root
Graph A has a negative discriminant
Graph C has an equation with a=1, b=4 , c=-2
Step-by-step explanation:
If we look at the graph, Graph A never crosses the x axis, so it does not have any real roots.
Graph B touches the x axis, but does not cross so it has 1 real root
Graph C crosses the x axis 2 times, so it has 2 real roots.
We know from the discriminant b^2-4ac
If the discriminant >0 it has 2 real roots, so Graph C has a positive discriminant
If the discriminant =0 it has 1 real root, so Graph B has a zero discriminant
If the discriminant <0 it has 0 real roots, so Graph A has a negative discriminant
If we have a=1, b=4 , c=-2
b^2-4ac = 4^2-4(1)(-2) = 16+8 = 24 >0 This must be Graph C
Least common multiple of 7 and 21
Answer:
21
Step-by-step explanation:
Since 7 x 3 is 21
And 21 x 1 is 21
Answer:
21
Step-by-step explanation:
To find the least common multiple of 7 and 21 , we need to break each number down to its prime factors
7 = 7
21 = 7*3
To find the least common multiple multiply each factor the greatest number of times it occurs in either number.
The LCM = 7*3
= 21
Which graph is a solution set to the opening sentence? 10< -2b or 2b+3>11
[tex]10 < -2b\qquad\text{change the signs}\\\\-10>2b\qquad\text{divide both sides by 2}\\\\-5>b\to \boxed{b<-5}\\\\2b+3>11\qquad\text{subtract 3 from both sides}\\\\2b>8\qquad\text{divide both sides by 2}\\\\\boxed{b>4}[/tex]
The second graph.max's lunch account is less than $8.does max owe more than or less than $8?
four big water bottles can hold 8 gallons of water. How much water can ten big water bottles hold?
Answer:
20 gallons
Step-by-step explanation:
you would have to divide 4 and 8 which equals 2
then you multiply 2 by 10
which equals 20
Answer:
10 big water bottles hold 20 gallons of water
Step-by-step explanation:
Simplify the equation given. Divide 4 from both the numerator and denominator
(4 big water bottles/8 gallons of water) = (1 big water bottle/ 2 gallons of water)
Next, solve for 10 big water bottles. Multiply 10/10 to the fraction gotten previously
(1 big water bottle / 2 gallons of water) x (10/10) = (10 big water bottle / 20 gallons of water).
10 big water bottles / 20 gallons of water is your answer
~
Please help me with this!
Thanks:)
Hello!
The answer would be C.
Hope this helps! ~Pooch ♥
Find the values for "a" and "b" that would make the equality true. 7(ay^2+by−3)=14y^2−7y−21
Answer:
a = 2 and b = - 1
Step-by-step explanation:
distribute the left side of the equation and compare the like terms with terms on the right side
7ay² + 7by - 21
compare the coefficients of like terms with 14y² - 7y - 21
7a = 14 ⇒ a = 2
7b = - 7 ⇒ b = - 1
The value of a and b from the given equation is 2 and -1 respectively;
Given the equation [tex]7(ay^2+by-3)=14y^2-7y-21[/tex]
In order to get the value of a and b that will make the equality equation true, we will have to factorize first;
[tex]7(ay^2+by-3)=14y^2-7y-21\\7ay^2+7by-21=14y^2-7y-21\\[/tex]
Next is to compare both sides to get the unknown value
[tex]7ay^2=14y^2\\7a=14\\a=\frac{14}{7}\\a =2[/tex]
Get the value of "b"
[tex]7by=-7y\\7b=-7b\\b=\frac{-7}{7}\\b=-1[/tex]
Hence the value of a and b from the given equation is 2 and -1 respectively;
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