Answer:
Step-by-step explanation:
Let the cost of canvas be $x per sq inches.
Measurement of the canvas bought by the artist is
24 × 36 inches
Area of canvas = 24×36= 864 sq inches
Cost of canvas = 864x
New cost of canvas =x+5% of x
=x+0.05x
=1.05x
New Cost of canvas = 907.20x
Increase in price=907.20x-864x=43.2x
Percentage = [tex]\frac{43.2x}{864x}*100[/tex]
= 5%
Hence artist is going save 5% of cost by buying sheet today.
Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks later, she captures 57 birds and finds that 48 are not tagged. Estimate the actual number of storks in the bird reserve
Evaluate the expression. If necessary, round to the nearest hundredth. lne^3x^2
The set of all numbers on the number line are called the ____________.
A number that has an equivalent terminating or repeating decimal is called a(n) _______________.
A number that has an equivalent decimal that is non-repeating is called a(n) _______________.
Any number that can be written as a fraction of integers is a(n) ______________.
The set of all numbers on a number line is called the "Real Numbers".
What is a rational number?Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.
The set of all numbers on a number line is called the "Real Numbers".
A number that has an equivalent terminating or repeating decimal is called a "Rational Number".
A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".
Any number that can be written as a fraction of integers is a "Rational Number".
Hence, the set of all numbers on a number line is called the "Real Numbers".
Learn more about rational numbers:
https://brainly.com/question/24398433
#SPJ2
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
The required measure of the number of pounds of berries each person would receive is 1.562 pounds.
Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Total number of berries = 3 3 /8 + 2 7/8
= 5 5 /4 = 25 / 4 pounds
Number of people = 4
pounds of berries each people can have,
= 25/ 4 / 4= 25 / 16
= 1.562 pounds
Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ6
During a three–day period, the stock of Money, Inc. gained 6 points, lost 10 points, and gained 2 points. What was the total change in points for the three days?
A.
2 points
B.
4 points
C.
–6 points
D.
–2 points
Answer:
the answer is D
Step-by-step explanati
Which equation represents a horizontal line? A. x=y=2 B. y=x+1 C. x=2 D. y=2
find the next number in the given series?2,3,8,27,112,?
When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi/h or more. The formula f = 0.004av2 gives the force f in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?
To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.
Explanation:The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.
In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.
Once we have the area, we can substitute the values into the formula and calculate the force.
Find a positive angle less than one rotation that is coterminal with –308°.
Answer:
Step-by-step explanation:
Alright, lets get started.
We are given an angle -308 degrees.
A co-terminal angle is an angle which shares the same terminal side of the angle given.
We are asked to find its positive co-terminal angle.
When we find positive co-terminal angle, we add 360 degrees in given angle, so
positive co-terminal angle is : [tex]-308+360=52[/tex]
So, the answer is 52 degree. : Answer
Hope it will help :)
Charlene is looking at a pair of earrings that costs 10$. Find the totlat cost of the earrings if there is a 15% discount and the sales tax is 8%.Does it matter if the discount is taken before if after the sales tax is added?
Mark Borrowed $5,500 at 11.5 percent for 5 years (2.199) what is the amount of Marks total payment?
Answer:
The amount of Mark's Total payment is $9478.15.
Step-by-step explanation:
Given : Mark borrowed $5,500 at 11.5 percent for five years.
To find : What is the amount of Mark's total payment?
Solution :
Using compound interest formula,
[tex]A=P(1+r)^t[/tex]
Where A is the amount,
P is the principle P=5,500
r is the rate r=11.5%=0.115
t is the time t= 5 years
Substitute the value,
[tex]A=P(1+r)^t[/tex]
[tex]A=5500(1+0.115)^5[/tex]
[tex]A=5500(1.115)^5[/tex]
[tex]A=5500(1.7233)[/tex]
[tex]A=9478.15[/tex]
Therefore, The amount of Mark's Total payment is $9478.15.
6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.
Explanation:To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.
First, we add the number of guests and staff to find the total number of people at the party:
Number of guests: 70Number of staff: 3Total number of people: 70 + 3 = 73Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:
(Total number of people) ÷ (Servings per cake) = Number of cakes
73 ÷ 24 = 3.04166667
Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.
Learn more about Party Planning here:
https://brainly.com/question/40508867
#SPJ12
4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.
First, we add the number of guests to the number of staff:
70 guests + 3 staff = 73 people in total.
Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:
73 people · 24 servings per cake = 3 cakes with some servings left over.
Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.
In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
Christy works at a bakery. The bakery sells cakes, cupcakes, and pies. Hayley ordered the cake shown .
From a survey, a reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71,0.78).
What is the point estimate of the proportion of residents who are against expanding the airport?
Enter your answer, as a decimal, in the box.
Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.
Step-by-step explanation:
Since we have given that
A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).
So, we need to find the point estimate of the proportion of residents who are against expanding the airport.
So, Point estimation of the proportion of resident would be
[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]
Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.
Which of the following show a geometric series? Select all that apply.
A. 2 + 3 + 4.5 + 6.75 + …
B. 2 + 2.5 + 3 + 3.5 + …
C. 6 + 7 + 9 + 12 + …
D. 4 + 8 + 16 + 20 + …
E. 8 + 4 + 2 + 1 + …
Answer:
only A. and E.
Step-by-step explanation:
The answer would be option(A) and (E) are show a geometric series.
A. 2 + 3 + 4.5 + 6.75 + …
E. 8 + 4 + 2 + 1 + …
What is a Geometric Series?Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.
The standard equation for geometric series as:
Tₙ = a₁ rⁿ⁻¹
where a₁ is the first term and r is the common ratio.
A. 2 + 3 + 4.5 + 6.75 + …
Here, first term a₁ = 2 ,
The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5
So, this is a geometric series.
E. 8 + 4 + 2 + 1 + …
Here, first term a₁ = 8 ,
The common ratio r = 4/8 = 2/4 = 1/2 = 0.5
So, this is a geometric series.
Hence, the option(A) and (E) are show a geometric series.
Learn more about Geometric Series here:
https://brainly.com/question/21087466
#SPJ5
when a family with two adults and three children bought tickets for a movie, they paid a total of $27.75. The next family in line, with two children and three adults, paid $32.25 for the same movie. Find the adult and child ticket prices by writing a system of equations with two variables
To determine the ticket prices at Family Flicks, we create a system of equations using variables A for adult tickets and C for child tickets, then solve for A and C using the given information.
To find the adult and child ticket prices for movies at Family Flicks, we can establish a system of equations based on the information provided. Let's denote the price of an adult ticket as A and the price of a child ticket as C. From the first family's purchase, we have the equation 2A + 3C = $27.75. The second family's purchase gives us the second equation 3A + 2C = $32.25. Solving this system of equations will provide us with the prices for the adult and child tickets.
SOMEONE HELP GIVING 50 POINTS HELP HELP HELP I NEED ALL THE ANSWERS
Helpppp me i have no ideaaaa
What is the approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters?
A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
if m<cdb=50 degrees, what is m<edg?
answer options are:
A. 35 DEGREES
B. 40 DEGREES
C. 45 DEGREES
D. 50 DEGREES
Answer: the answer is C. 45.
PLEASE HELP ME!!!!!!!
The slope value of the line drawn is 2
Choosing the points to be used to calculate the slope from the graph;
(3, 7) and (0, 1)Slope = Rise / Run
Rise = y2 - y1 = (1 - 7) = -6Run = x2 - x1 = (0 - 3) = - 3This means:
Slope = -6/-3
slope = 2
Therefore, the value of the slope is 2
Learn.more on slope : https://brainly.com/question/3493733
#SPJ3
A=12h(b1+b2) solve for b1 please.
Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
Learn more about Mathematical Isolation here:https://brainly.com/question/30512432
#SPJ3
what is the triangle proportionality therom
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
The Triangle Proportionality Theorem asserts that a line drawn parallel to one side of a triangle divides the other two sides proportionally. This is related to the properties of similar triangles, where the corresponding sides of similar triangles are proportional due to the AAA similarity criterion.
The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on one side of the triangle are in the same ratio as the corresponding segments on the other side of the triangle. For example, in [tex](\Delta ABC)[/tex] with a line parallel to [tex](\overline{BC})[/tex], the theorem asserts that [tex](\frac{AD}{DB} = \frac{AE}{EC})[/tex].
This concept is deeply rooted in the properties of similar triangles which are based on the Angle-Angle-Angle (AAA) similarity criterion. According to the AAA theorem, if two triangles have corresponding angles that are equal, then their corresponding sides are proportional. Thus, if two triangles are similar, the lengths of their corresponding sides form a proportion such as [tex](\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF})[/tex], where each fraction is the ratio of a pair of corresponding sides.
The principles of the Triangle Proportionality Theorem can be applied in various geometric problems, often to compare the lengths of sides within the same triangle or in two similar triangles. It is also useful in determining distances or heights by applying the theorem to real-life scenarios, such as calculating the height of a wall using the shadow it casts, provided the sun's rays are considered parallel.
The figure shows a trapezoid with a height of 4 units. The area of the trapezoid is 20 square units. Select all of the dimensions for a and b that would represent the trapezoid
the monthly popcorn special comes in a bowl that is shaped like a hemisphere. the diameter of the bowl is 10 inches. the theater sells the cylindrical container of popcorn for $5.25. if they sell the bowl of popcorn for $5.00, is it a good deal
Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5
Step-by-step explanation:
There are 3 black marbles and 4 red marbles in a bag.
What is the probability you will pick two black marbles out of the bag without replacing the first one chosen?
A) 6/8
B) 9/49
C) 5/13
D) 1/7
The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. 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.
Given that;
There are 3 black marbles and 4 red marbles in a bag.
Hence, Total number of marbles = 3 + 4 = 7
Thus, The probability you will pick one black marbles out of the bag is,
⇒ 3 / 7
And, The probability you will pick another black marbles out of the bag is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,
⇒ 3/7 × 1/3
⇒ 1/7
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ3
In Samantha's English class, her current grade is calculated by finding the average of the scores she received on her terms papers. Samantha's last term paper brought her average up to a 91 from an 89, which was her average from the first three. Samantha claims that she scored a 97 on her fourth term paper. Is Samantha's claim true?
If x = 15 units and h = 6 units, then what is the area of the triangle
A 1/4 lb package of sunflower seeds cost 79cents. An 8 ounces package cost 1.59. Which package represents the lower cost per ounce