Hello,
I hope you and your family are doing well!
If a ticket to the circus was 10% less on a Tuesday than it was on a Saturday, then it was 90% of the Saturday ticket price. If you paid $27 each to attend Tuesday's show, then the Saturday ticket price was $27 / 0.9 = $30.
Since you bought two tickets, the total cost of attending the circus on Saturday would have been 2 * $30 =60
Therefore, your total cost would have been $60 had you attended the circus on Saturday.
Please rate this answer 5 stars and brainliest if you find it helpful.
Happy Holidays and New Year!
Bryce has consumed 60% of the daily recommended calories for an active 13 year old. He has consumed 1560 calories today. How many total daily calories are recommended
Answer:
2600
Step-by-step explanation:
Answer:
2600
Step-by-step explanation:
60% of what number is 1560
Let x be the total daily calories recommended.
.6x = 1560 Divide both sides by .6
x = 2600
If the diameter of a circle is segment AB where Point A is located at (-3, 6), and Point B located at (-8, -1), what is the diameter of the circle?
Answer:
√74 units.
Explanation:
Given that segment AB is the diameter of the circle and the points A and B are located at:
\(\begin{gathered} (x_1,y_1)=A(-3,6) \\ \left(x_2,y_2\right)=B\left(-8,-1\right) \end{gathered}\)The diameter of the circle is the length of segment AB.
To find the length of the segment, we use the distance formula given below:
\($$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} $$\)Substitute the given values:
\(\begin{gathered} AB=\sqrt{(-8-\left(-3\right))^2+(-1-6)^2} \\ =\sqrt{(-8+3\rparen^2+(7)^2} \\ =\sqrt{\lparen-5)^2+7^2} \\ =\sqrt{25+49} \\ \implies AB=\sqrt{74} \end{gathered}\)The diameter of the circle is √74 units.
The last option is correct.
twenty insurance agents are randomly selected and asked if they own a handgun. fourteen of those surveyed said that they do own a handgun. if an insurance agent is randomly selected, estimate the probability that the agent will own a handgun. round your answer to two decimal places, if necessary.
The probability is 0.8427.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Here we are total number of insurance agents = 89
And number of insurance agents do own a handgun = 75
So we asked probability that a insurance agent will own a handgun
Probability = no.of insurance agents/no.of insurance agents who owns a handgun
Probability = 75/89 = 0.8427
The probability that the agent will own a handgun is .84
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7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Given parameters:
Mass of the earth = 5.9726 x 10²⁴kg
Mass of percent water on earth = 5 x 10⁻⁴% of the total mass of the earth
Unknown:
Mass of water on earth = ?
Solution
This is pretty straight forward;
Mass of water on earth = mass percent of water x mass of earth
Input the parameters and solve;
Mass of water on earth = \(\frac{5 x 10^{-4} }{100}\) x 5.9726 x 10²⁴
= 5 x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴
= 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴
= 29.863 x 10¹⁸kg
or 2.9863 x 10¹⁹kg
Mass of water on earth is 2.9863 x 10¹⁹kg
Brendan says that when a rectangle with length 6 cm and width 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled. Explain what is incorrect about Brendan’s statement.
The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.
Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.
Brendan's statement and understand the concept of dilation:
1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.
2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.
Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.
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Pls hurry and help Solve.
Find the perimeter of a park that measures 7 miles by 9/10 miles.
A. 15 4/5 miles^2
B. 6 3/10 miles^2
C. 6 3/10 miles
D. 15 4/5 miles
Answer:
Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.
Step-by-step explanation:
Answer:B
Step-by-step explanation:
The monthly revenue of a certain company is given by R 820p-7p, where p is the price in dollars of the product the company manufactures. At what price will the revenue be $12,000 if the price must be greater than $50? $ The revenue will be $12,000 when the price of the product is (Simplify your answer.)
The revenue will be 12,000 when the price of the product is $100
Given :
The monthly revenue of a certain company
\(R=820p-7p^2\)
We need to find out p when Revenue R is 12000
Lets replace R with 12000 and solve for p
\(12000=820p-7p^2\\820p-7p^2=12000\\-7p^2+820p-12000=0\)
Apply quadratic formula
\(p=\frac{-820\pm \sqrt{820^2-4\left(-7\right)\left(-12000\right)}}{2\left(-7\right)}\\p=\frac{-820\pm \:580}{2\left(-7\right)}\\p=\frac{-820+580}{2\left(-7\right)},\:p=\frac{-820-580}{2\left(-7\right)}\\p=\frac{120}{7},\:p=100\)
Given that price must be greater than 50
So the revenue will be 12000 when the price of the product is $100
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2(4x+1)-3=ax+b
Which statements are true about the solution to the equation when substituting the given values for a and b? Choose all that apply
The correct statements regarding the number of solutions is given as follows:
A. If a = 8 and b = 1, then there is no solution to the equation.
D. If a = 2 and b = -1, then there is exactly one solution to the equation.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which;
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.For a system of linear functions, the number of solutions is defined as follows:
Different slopes: One solution.Same slope and different intercept: no solution.Same slope and same intercept: infinity solutions.The system for this problem is given as follows:
2(4x + 1) - 3 = ax + b
8x - 1 = ax + b.
Hence:
a different of 8: one solution.a = 8 and b different of -1: no solution.a = 8 and b = -1: infinity solutions.More can be learned about linear functions at https://brainly.com/question/24808124
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pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
In 1990, a total of $641 billion was spent on food and drinks in a particular country. In 2003, the total spent was $1016 billion.
(a) Find the equation of the exponential function that can be used to model the total 7 spent (in billions of dollars) on food and drinks in this country as a
function of the number of years t since 1990. (Round your decimal value to four decimal places.)
x
T=
(b) Use your model to predict the amount spent (in billions of dollars) in 2000. (Round your answer to the nearest integer.)
billion dollars
(c) What is your prediction for the total sales of food and drink (in billions of dollars) in 2018? (Round your answer to the nearest Integer.)
billion dollars
(d) Estimate when the total sales will reach $2 trillion if this exponential trend continues. (Round your answer to two decimal places.)
t=
Part(a),
The exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^x\)
Part(b),
The predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
Part(c),
The predicted total sales of food and drink in 2018 is 1756 billion dollars
Part(d),
If the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
(a) To model the total spent on food and drinks as an exponential function of the number of years since 1990, we can use the general form of an exponential function:
\(T = a \times b^t\)
where T is the total spent in billions of dollars, t is the number of years since 1990, a is the initial amount spent in 1990, and b is the growth factor or base of the exponential function.
Using the given information, we can set up two equations:
T(0) = 641 (total spent in 1990)
T(13) = 1016 (total spent in 2003, which is 13 years after 1990)
Substituting these values into the exponential function, we get:
\(641 = a \timrd b^0\) => a = 641
\(1016 = a b^{13\) => \(b = (\dfrac{1016}{641})^{\frac{1}{13}\)
Therefore, the exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13})^x\)
(b) To predict the amount spent in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the exponential function:
\(T(10) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{10\) ≈ 964
Therefore, the predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
(c) To predict the total sales of food and drink in 2018, we need to substitute t = 28 (since 2018 is 28 years after 1990) into the exponential function:
\(T(28) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{28\) ≈ 1756
Therefore, the predicted total sales of food and drink in 2018 is 1756 billion dollars (rounded to the nearest integer).
(d) To estimate when the total sales will reach 2 trillion dollars, we need to solve for t in the exponential function when T(t) = 2000 (since 2 trillion dollars is equivalent to 2000 billion dollars):
\(2000 = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^t\)
\(ln(\dfrac{2000}{641}) = t \times ln((\dfrac{1016}{641})^{(\frac{1}{13})\)
\(t = \dfrac{ln(\dfrac{2000}{641})} { ln((\dfrac{1016}{641})^{(\frac{1}{13})) }}\)
t = 32.72
Therefore, if the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
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find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Answer:
10
Step-by-step explanation:
Whenever we see "of" we know its multiplication
125% x a normal day
125% x 8
\(\frac{125}{100}\) x 8
10
:)
Ben wants to buy a baseball cap that costs $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax?
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
HURRY I NEED THIS BEFORE 12
nere are 18 students in the Math Club.
A. Of the 18 students, have red hair.
How many of the students have red
hair? Use the model to help you.
15.
3 students with red hair
12 students with brown hair
Step-by-step explanation:1/6 times 18 = 18/6 = 3 students with red hair
4/6 times 18 = (18 times 4)/6= 12 students with brown hair
The perimeter of a triangle is 82 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side.
Answer:
first side=40
second side=20
third side=22
Step-by-step explanation:
LET THE SIDES OF THE TRIANGLES BE y
Perimeter=82
first side=2 x y = 2y
second side=y
third side=2 +y
2y + y + 2 + y=82
4y+2=82
4y= 82-2
4y=80
y=80/4
y=20
first side=2y=2(20)=40
second side=y=20
third side= 2 + y= 2 + 20 = 22
gimme your best roasts, periodt :)
not a roast but a threat: i will eat your bones till you are just a bag of empty skin
Answer:
LOL
you smell just like your favorite word...
...Period...
a number has the same digit in its hundreds place and in its hundreds place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
A number has the same digit in its hundreds place and in its hundreds place. 10,000
What is the value of the digit?Generally, Given that a number's hundreds place and its hundredths place both have the same digit, we may assume that the number is perfect.
Let's say that the digit is a 1.
Therefore, the value of the hundreds position in a number is equal to 100.
The value of the hundredth position in a number is equal to 0.01%.
The following formula may be used to determine the number of instances in which the value of the digit in the hundreds place is higher than the value of the digit in the hundredths place:
As a result, the difference between the value of the digit in the hundreds place and the value of the digit in the hundredth place is 10,000 times bigger.
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CQ
A number has the same digit in its hundreds place and its hundredths place. How many times greater is is the value of the digit in the hundreds place than the value of the digit in the hundredths place?
A. 100,00
B. 100
C. 1,000
D. 10,000
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements
Evaluate the expression.
I-4|
PLEASE HELP BAHIAJSUEKSJN
Answer:
the answer is 4
Step-by-step explanation:
the answer will be positive
find f
f '(t) =20/1+t^2 f(1) = 0
If f '(t) =20/1 + t2 f(1) = 0, f is f(x) = 20tan⁻¹(t) - 5π.
Integrals are the values of the function seen by the process of integration.
The procedure of getting f(x) from F (x) is called integration.
Given f '(t) = 20/ 1 + t2 and f(1) = 0
We know that by definition of the integral of tan⁻¹(x) = 1/1 + t2
f '(t) = 20 / 1 + t2 = 20(1/ 1 + t2)
Integrate on both sides, we get
f(t) = 20tan⁻¹(t) + c
f(1) = 0; f(1) = 20tan⁻¹(1) + c = 0
c = -20(π/4) = -5π.
Therefore, f(x) = 20tan⁻¹(t) -5π.
If f '(t) =20/1 + t2 f(1) = 0, f is f(x) = 20tan⁻¹(t) - 5π.
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Can someone please help:(
Thank you all
There were 172 children and 165 adults admitted to the amusement park.
Given that the admission fee for children is $1.50, so the total amount collected from children is 1.5c.
Similarly, the admission fee for adults is $4, so the total amount collected from adults is 4a.
We are also given that the total number of people admitted to the park is 337, so we can write the following equation based on the number of people:
c + a = 337
The total admission fees collected is $918.
1.5c + 4a = 918
Now we have a system of two equations.
From the first equation, we can express 'c' in terms of 'a':
c = 337 - a
Substituting this value of 'c' into the second equation:
1.5(337 - a) + 4a = 918
505.5 - 1.5a + 4a = 918
2.5a = 918 - 505.5
2.5a = 412.5
a = 412.5 / 2.5
a = 165
Substituting the value of 'a' back into the first equation:
c + 165 = 337
c = 337 - 165
c = 172
Therefore, there were 172 children and 165 adults admitted to the amusement park.
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graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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0.2x+2.7x−8.1=6.9+1.1x
Answer:
=8.33333333
Step-by-step explanation:
kinda hard tho
Please help, I’ll mark you as brainiest if you’re correct !!!
Answer: i think c
Step-by-step explanation:
Answer:
I believe the answer is B i am not 110% sure tho
I think it’s A but I need help double checking!