To find the percent error, subtract the estimate from the actual value, divide the difference by the actual value, and multiply by 100. To find the original price, set up an equation using the formula for finding the sale price and solve for the unknown variable. The percent error is approximately 7.41% and the original price was $299.
Explanation:To find the percent error, you need to compare the estimate to the actual value.
1. Subtract the estimate from the actual value: 54 - 50 = 4.
2. Divide the difference by the actual value: 4 / 54 ≈ 0.0741.
3. Multiply the result by 100 to get the percent error: 0.0741 * 100 ≈ 7.41%
So the percent error is approximately 7.41%.
To find the original price, you can set up an equation using the formula for finding the sale price: Original price - (Discount * Original price) = Sale price.
Let x be the original price. Using the given values, the equation becomes: x - (0.75 * x) = 74.75.
Simplifying the equation, you get: x - 0.75x = 74.75.
Combining like terms, you get: 0.25x = 74.75.
Dividing both sides by 0.25, you get: x = 74.75 / 0.25 = 299.
So the original price was $299.
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I need help with question 7, don't really get it?
What is the volume of the right rectangular prism?
17 in³
68 in³
108 in³
168 in³
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(7.5, 4.5) , B′(4.5, 10.5) , and C′(1.5, 6) . The center of dilation is the origin.
What is the scale factor of the dilation?
Answer:
3/2
Step-by-step explanation
In a trapezium pqrs , pq is parallel to Sr , pq = ps = qr and psr = 66 , calculate
A) qrs. B) pqs
You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmatic or geometric. Is she correct or incorrect? Explain.
Rewrite 3x + 4y = 10 using function notation.
the jacksons went camping in a state park.One of the tents they took is shown . What is the volume of the tent.
The volume of the Jacksons' camping tent is 94.5 cubic feet. To calculate the volume, you multiply the dimensions: height (3.5 ft) by length (6 ft) by width (4.5 ft).
Explanation:The formula for calculating the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
The length (l) of the tent is 6 feet, the width (w) is 4.5 feet, and the height (h) is 3.5 feet.Substitute these values into the formula: V = 6 ft * 4.5 ft * 3.5 ft.Multiply the values together: V = 94.5 cubic feet.The volume of the tent is determined by multiplying its length, width, and height. In this instance, the Jacksons' tent has a volume of 94.5 cubic feet, providing ample space for their camping needs. Understanding the volume of a three-dimensional object is essential for assessing its capacity and ensuring it meets the requirements of its intended use.
Complete Question:
The Jacksons went camping in a state park. One of the tents they took is shown, tent size in the attached picture 3.5 ft high, 6 ft long and 4.5 ft wide. What is the volume of the tent?
The graph of a function in the form f(x) a(x - h)2 +k is shown. Use the graph to find an equation for f(x).
Taxicabs downtown charge a flat fee of $2.50, plus a state tax of $0.50, plus $0.50 for each 1/5 mile they travel with a passenger.
Explain how you would write 1/5 mile as a fraction with 10 in the denominator, a fraction with 100 in the denominator, and as a decimal.
Final answer:
To convert 1/5 mile to other forms, it can be represented as 2/10 when the denominator is 10, 20/100 when the denominator is 100, and 0.2 as a decimal.
Explanation:
To convert 1/5 mile into a fraction with 10 in the denominator, multiply both the numerator and the denominator by 2 to get 2/10. To get a fraction with 100 in the denominator, multiply both the numerator and the denominator of 1/5 by 20 to get 20/100. As a decimal, 1/5 is equivalent to 0.2 because 1 divided by 5 equals 0.2.
1.
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?
110
15
5
10
2.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.
The coordinates of C' are (0.75, 0.5).
The coordinates of C' are (1.5, 1).
The scale factor is 18
.
The scale factor is 8.
The scale factor is 14
.
The scale factor is 4.
The coordinates of B' are (-0.25, 1).
The coordinates of B' are (-0.5, 2).
3.
What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)?
4.
Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?
Dilation, rotation, translation
Reflection, dilation, translation
Rotation, reflection, dilation
Rotation, translation, reflection
Answer:The scale factor is \frac{1}{5}
Step-by-step explanation:
At the malt shop a large chocolate shake takes 0.2 of a pint of milk. If a medium shake takes 0.7 the amount of a large, how much does the medium shake take?
If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?
The function that describes a cell population of 100 cells tripling every hour is stated by the formula p(t) = 100(3)^t, which represents exponential growth.
Explanation:This problem describes a phenomenon where the initial population experiences exponential growth in a way that it triples every hour. Exponential growth is typically represented by the function p(t) = p⁰×r^t, where:
- p(t) represents the final amount of entities (in this case, population) after time t,
- p0 is the initial amount of entities (in this case, initial population),
- r is the growth factor,
- and t is time.
In these types of problems, the base number of the exponent (in this case 3) represents the growth factor. This is based on the fact that every time period (in this case, every hour), the population triples, or in other words, gets multiplied by 3.
The initial population given is 100 cells. This is represented by p0 in our formula and is also the coefficient in our function.
By considering both the initial population and the rate at which it triples, we can construct the function as p(t) = 100 × 3^t.
Therefore, according to our built function, the correct choice is b. p(t) = 100 × 3^t.
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Question:If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?
a. p(t)=3(100)^t
b. p(t)=100(3)^t
c. p(t)=3t+100
d. p(t)=100t+3
Juan has a box that is filled with toys. The box is 3 1/2 feet long,6 feet wide ,and 3 feet high. What is the volume and surface area of a box.
wo equations are given below: a − 3b = 9 a = b − 3 What is the solution to the set of equations in the form (a, b)? (−9, −6) (−4, −3) (−6, −3) (−9, −7)
Wolfgang wants to enlarge a picture he developed. Which factor listed below would scale up (enlarge) his picture the most if he used it to multiply its current dimensions? 7/8 14/14 1 4/9 3/2
Final answer:
The factor that would scale up Wolfgang's picture the most is 1 4/9.
Explanation:
The factor that would scale up Wolfgang's picture the most is 1 4/9.
To find the scale factor, we compare the given factors: 7/8, 14/14, 1 4/9, and 3/2.
Out of these options, 1 4/9 would enlarge the picture the most when used to multiply its current dimensions.
To join a fitness club there is a $30 joiner fee and a $12 monthly fee. Write an equation in slope intercept form that models this situation.
Which is NOT a Correct name for the line shown
nR is not a correct name for the line shown.
What is Line?A line is a straight geometrical figure in one dimension. It is extended to both sides to infinity.
A line only has length and has no width, thus it is a one dimensional figure.
Given is a line where both sides extended to infinity.
The line is given a name n.
So we can denote the given line as n.
There are points marked on the line like R, S and T.
So we can denote the line also has the lines RT, ST and RS.
But we cannot denote the line with names like n R, n S and n T, all of which are incorrect notation.
Hence the incorrect notation for the given line is the second option n R.
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Dennis is thinking of two number. The only common factors of the number are 1 and 3.Thier first common multiple is 18.One of the number is 9. What is the other number?
Final answer:
Dennis's other number, considering the conditions of only having 1 and 3 as common factors and 18 as the least common multiple with 9, is 6.
Explanation:
To solve the problem regarding Dennis's numbers, it's crucial to understand the conditions provided: the numbers only share common factors of 1 and 3, one of the numbers is 9, and their first common multiple is 18. To find the other number, knowing one of the numbers allows us to apply the rule of least common multiples (LCM). Since 9's factors are 1, 3, and 9, and the LCM with the other number is 18, this other number must be divisible by itself and 3 but not be a multiple of 9 to maintain the unique common factors condition. The only number that satisfies the condition in which 18 is the LCM and shares only 1 and 3 as common factors with 9, would be 6, since 18 is the smallest number that both 9 and 6 can divide into without other common multiples.
The volume of a cone is 471.24 cubic inches and the height is 8 inches. What is the diameter
all my points to person who has best answer plz make it simpule
Solve 8 x^2 + 5 = 35 Round to the nearest hundredth.Enter your answers in the boxes.The solutions are approximately and .
What is the area of this parallelogram?
A: 104 m²
B:88 m²
C:56 m²
D:32 m²
How does the volume of the cylinder compare to the volume of the cone
how can you tell before dividing that the first digit of the quotient 2,874/3 is in the hundreds place?
Final answer:
You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.
Explanation:
To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).
We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.
This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.
Tymere says that 7/10 × 7/10 equals 49/10. Which of the statements below is true?
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quilt?
The rectangular quilt has length 7 feet and width as 5 feet.
In order to find the perimeter, we have this formula:
[tex] P = 2(l+w) [/tex]
Plugging these values in the formula:
[tex] P = 2(7+5) [/tex]
Perimeter = 24 feet.
So 24 feet of lace are needed to cover the edges of the quilt.
Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of two decimals to support your answer.
The product 0.6 x 0.4 x 1.9 has three decimal places.
Explanation:To determine the number of decimal places in the product 0.6 x 0.4 x 1.9, we can rewrite each decimal as the product of two decimals and count the total number of decimal places.
0.6 can be written as 0.6 x 1.0, which has one decimal place.
0.4 can be written as 0.4 x 1.0, which also has one decimal place.
1.9 can be written as 1.9 x 1.0, which has one decimal place.
Since each decimal has one decimal place, the product 0.6 x 0.4 x 1.9 has a total of three decimal places.
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uppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value
An 8-foot piece of pipe is cut into 1/3 foot sections. How many sections of pipe are there?
A) 20
B) 24
C) 30
D) 36
Choose a number from 101 to 110 write it draw a picture to show it as 10 tens and more.
Choose a number from 101 to 110, we selected 106. To represent it with tens and ones, draw ten groups of ten for 'ten tens' which equals 100, and then draw 6 individual objects depicting 'and more' to visually show that 106 is 100 plus 6.
To choose a number from 101 to 110 and represent it as ten tens and more, let's select the number 106. The number 106 can be broken down into ten tens (which is 100) and an additional 6 to make up the full number.
A visual representation of this could be:
For the ten tens, you can draw ten groups of ten sticks or circles together, which would represent 100.
For the additional 6, draw six more sticks or circles away from the groups of tens.
So the drawing will show ten sets of ten objects, such as sticks or dots for the tens, and then six individual objects for the ones, clearly indicating that 106 consists of 100 (ten tens) plus 6 more.
sum of 5 z and 4 divided by two is 7