Solving for Circumference of a Penny A penny is 1.9 cm wide. What is the circumference of a penny? Approximate using mc001-1.jpg = 3.14 and round the answer to the nearest tenth if necessary.
Rounding to the nearest tenth, the circumference of a penny is approximately 6.0 cm.
To find the circumference of a penny, we use the formula for the circumference of a circle:
Circumference = π * diameter
Since the penny's width is given (which is the same as the diameter), we can plug in the values:
Circumference = 3.14 * 1.9 cm
Now, calculate the circumference:
Circumference ≈ 5.966 cm
Rounding to the nearest tenth, the circumference of a penny is approximately 6.0 cm.
To know more about circumference:
https://brainly.com/question/32163335
#SPJ6
Find the quotient. (14x^3-21x^2 +28x)/(7x)
The calculated quotient of the expression (14x³ - 21x² + 28x) ÷ 7x is 2x² - 3x + 4
How to evaluate the quotient expression
From the question, we have the following parameters that can be used in our computation:
(14x³ - 21x² + 28x) ÷ 7x
Factor out x in the numerator
So, we have
(14x³ - 21x² + 28x) ÷ 7x = x(14x² - 21x + 28) ÷ 7x
Evaluate the quotient
(14x³ - 21x² + 28x) ÷ 7x = (14x² - 21x + 28) ÷ 7
Divide through by 7
(14x³ - 21x² + 28x) ÷ 7x = 2x² - 3x + 4
Hence, the quotient of the expression is 2x² - 3x + 4
Kurt bought a bike for $149.95. Eric bought a bike that had been $169.50 but was marked 1/5 off. How much less did Eric’s bike cost than Kurt’s?
After calculating the discount and subtracting it from the original price, Eric's bike cost $135.60, which is $14.35 less than Kurt's bike that cost $149.95.
To determine how much less Eric paid for his bike compared to Kurt's bike, we need to calculate the discount Eric received and subtract it from the original price of his bike. Then, we'll compare it to the price Kurt paid for his bike.
First, we calculate Eric's discount by multiplying the original price of the bike, $169.50, by 1/5 (which represents the 20% discount):
$169.50 times 15= $33.90.
Now, subtract this discount from the original price to find out how much Eric paid for the bike:
$169.50 - $33.90 = $135.60.
Finally, to find out how much less Eric's bike cost than Kurt's, we subtract the price Eric paid from the price Kurt paid:
$149.95 - $135.60 = $14.35.
Eric's bike cost $14.35 less than Kurt's.
there are 54 people at the party. 18 of them are wearing red, what percent of them are not wearing red
There are 54 people at the party.
18 people are wearing red which means that 36 people are not wearing red
54 - 18 = 36
The fraction [tex]\frac{36}{54}[/tex] represents the 36 people at the party that are wearing no red. We can find what percent of the people at the party are not wearing red by turning [tex]\frac{36}{54}[/tex] into a percent.
[tex]\frac{36}{54}[/tex] can be reduced to [tex]\frac{2}{3}[/tex] by dividing both the numerator and denominator by the greatest common factor of 36 and 54.
2 ÷ 3 = 0.667
0.667 × 100 = 66.67%
Therefore, 66.67% of the people at the party are not wearing red
Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (1,2). A. Y=2x^2. B. Y=2(x-1)^2. C. Y=x^2. D. Y=(x+1)^2+1
The vertex form of the equation of a parabola with a vertex at (0,0) and passing through the point (1,2) is [tex]y=2x^2.[/tex]
The vertex form of a parabola is given by: [tex]y = a(x - h)^2 + k[/tex] where (h, k) is the vertex of the parabola.
In this case, the vertex is (0, 0), so h = 0 and k = 0.
Therefore, the equation becomes: [tex]y = a(x - 0)^2 + 0.[/tex] Simplifying further, the equation becomes: [tex]y = ax^2[/tex].
Now, we need to find the value of 'a.' To do this, we can use the given point (1, 2). Substitute these values into the equation:
[tex]2 = a(1)^2[/tex].
Therefore, 'a' is 2. So, the final equation in vertex form is: [tex]y = 2x^2.[/tex]
So, the correct answer is A. [tex]Y = 2x^2.[/tex]
write the worlds as an algebraic expression. the width plus twelve. how do i do it?
Circumference is 4 what is the radius and area of the circle
solve the exponential equation
[tex] {10}^{ - x} = {7}^{4x} [/tex]
name the following triangle according to its angles and sides: 120 degrees, 35 degrees, 25 degrees
Final answer:
The triangle with angles of 120 degrees, 35 degrees, and 25 degrees is classified as an obtuse scalene triangle because it has one angle greater than 90 degrees and all angles of different measures.
Explanation:
To classify the triangle with angles of 120 degrees, 35 degrees, and 25 degrees, we first confirm that the sum of its angles is 180 degrees, which is true for any plane triangle. Given this sum, we can classify the triangle based on its angles and sides.
A triangle with one angle greater than 90 degrees is called an obtuse triangle, as it has an obtuse angle (greater than 90 degrees). Since this triangle has a 120-degree angle, it fits that definition. Furthermore, because all the angles are different, we can classify it as a scalene triangle, meaning all sides have different lengths. Therefore, the correct classification for this triangle is an obtuse scalene triangle.
You bought 5 folders that cost x dollars each, a calculator for $45, and a set of pens for $3. a. 5x + 48 c. 5x + 45x + 3x b. 5 + 45 + 3
a 15-oz iced tea at a certain restaurant had 135 calories. How many calories are there in a 22-oz iced tea?
The solution is, There are 198 calories in a 22-oz iced tea.
What is multiplication?
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
a 15-oz iced tea at a certain restaurant had 135 calories.
now we have to find that, How many calories are there in a 22-oz iced tea.
i.e. we have
15/135 = 22/?
let, x calories are there in a 22-oz iced tea.
now, 15/135 = 22/x
or, x = 22 x 135 / 15
we have,
22 x 135 = 2970
2970/15 = 198
so, x = 198
There are 198 calories in a 22-oz iced tea.
Hence, The solution is, There are 198 calories in a 22-oz iced tea.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Which measure is equivalent to 2.5 liters? A)2.5 mL B)250 mL C) 2500 mL D)25,000 mL
we know that
[tex] 1L=1000mL [/tex]
we are given 2.5L
so, to find 2.5L into mL, we will have to multiply both sides by 2.5
[tex] 2.5*1L=2.5*1000mL [/tex]
now, we can simplify it
[tex] 2.5L=2500mL [/tex]
so, option-C.............Answer
PLZ Help me!!! 20 Points! Plz, know the answers!
Jack needs to save $125 to go to a concert. He has saved $35. He makes $7.50 an hour at his job. With x representing the number of hours, which equation and solution can be used to show how many hours Jack must work in order to have enough money to go to the concert?
A. 125x + 35 = 750; x = 5.75
B. 35x + 125 = 750; x = 18
C. 7.5x + 35 = 125; x = 12
D. 35−7.5x=125;x=6
Sebby has 330 for singing lessons he paid 20 for each lesson how many lessons has he attended if he still has 210 left
Mr Jones spent 156 to attend a college football game .twenty percent of this cost was for a parking pass.he spent the remainder of the money on two tickets for the game .what was the price per ticket
Graph the data from the table below. Describe the parent function as linear, square root, cube root, cubic, or quadratic.
What do you call a person who makes face all day long
A clockmaker is the answer
Solve the system of equations. y = 7x + 43 y = 2x + 13 a. ( -6, 1) c. ( 6, 1) b. ( 6, -1) d. No solution
7.Kristy baked 18 cookies. She took 2/3 of the cookies to work. How many cookies did she NOT take to work? 4 6 8 12
What method could have been used to collect the data?
The sum of the ages of two people is 32. The difference is their ages is 4. What is the age of the younger person ?
Each chair installed in the new chapel requires 24 inches of clearance. If each row cannot be greater than 35 feet in length, how many chairs may be placed in each row?
(write as an inequality and solve)
The solution is 17 chairs
The number of chairs placed is 17 and the inequality equation is 2x < 35 , where x is the number of chairs
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of chairs be represented as x
Now , the inequality equation will be
Each chair installed in the new chapel requires 24 inches of clearance
So , 24 inches = 2 feet
And , each row cannot be greater than 35 feet
So , the number of 2 feet chairs = 2x
And , 2x cannot be greater than 35 feet
Substituting the values in the equation , we get
2x < 35 be equation (1)
Divide both sides of the equation by 2 , we get
x < 17.5
x < 17 chairs
Therefore , the value of x is 17 chairs
Hence , the number of chairs is 17 chairs
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ2
What is the slope of this line?
Which of the binomials below is a factor of this trinomial ? X^2 + x + 12
A probability close to 1/2 indicates a chance event is ________ to occur
Likely, unlikely, or neither likely nor unlikely
Please help
Diane is baking cookies. She bakes four dozen sugar cookies, three dozen butter cookies, and two dozen chocolate chip cookies. She gives away 2 dozen sugar cookies, 2.5 dozen butter cookies, and 1.5 dozen chocolate chip how many cookies does she have left? ( Give an exact number of cookies).
a triangle with an area of 202.5 has a height that measures 15 find its base
what is the simplest form of this expression w^2(-4w^2-2)+(-5w^2)(-2w^2-2)
The area of a circle is 68 square centimeters find the diameter
Mitch does not know the correct answer to two multiple choice questions. The choices are A,B,C, and D. If Mitch just guesses, what is the probability that Mitch will guess both answers correctly?
Final answer:
Mitch has a 1/16 probability of guessing both multiple-choice answers correctly when randomly guessing among four options.
Explanation:
If Mitch guesses on two multiple-choice questions with choices A, B, C, and D, the probability of guessing both correctly is calculated as follows: The probability of correctly guessing one question is 1/4 (since there are 4 possible choices, and only one is correct). To find the probability of guessing both correctly, we multiply the probabilities of each independent event. Thus, the probability of guessing the first question correctly AND the second question correctly is 1/4 × 1/4 = 1/16.