Final answer:
The division of 4 1/4 by 1 1/2, when converted to improper fractions, results in 17/6, or 2 5/6 as a mixed number.
Explanation:
The question asks us to find the result of the division 4 1/4 divided by 1 1/2. To tackle this problem, we need to convert the mixed numbers into improper fractions and then perform the division by multiplying by the reciprocal. Here's how it is done step-by-step:
Convert mixed numbers to improper fractions:
4 1/4 = (4×4 + 1)/4 = 17/4 and
1 1/2 = (1×2 + 1)/2 = 3/2.
Divide the fractions by multiplying by the reciprocal of the divisor:
(17/4) × (2/3) = 34/12.
Simplify the result:
34/12 can be simplified to 17/6, or as a mixed number, 2 5/6.
Therefore, the answer to 4 1/4 divided by 1 1/2 is 2 5/6.
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f x( ) = 20x + 4. What is the range of the function for this situation? Please explain.
Please help me.I need this answered
|1 - 4x| > 7
A. {x|x < -1.5 ∪ x > 1.5}
B. {x|x < -1.5 ∪ x > 2}
C. {x|-1.5 < x < 2}
1. You have 60 in. of molding to use as a frame around a picture you are painting. The area of the painting is giving by the function y = 30x - x^2 where x is the width in inches. What width gives the maximum area for the painting? What is the maximum area?
2. You are trying to dunk a basketball. You need to jump 2.5 ft in the air in order to dunk the ball. The height that your feet are above the ground is given by the function h = -16t^2 + 12t. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball?
I need a lot of help with these problems. Please answer them to the best of your capabilities. I'M GOING INSANE!!! Thanks so much!
Is how many countries are in North America a statistical question
The question, "How many countries are in North America" is not a statistical question.
What are statistical Questions?Statistical questions are defined as the questions which are answered by collecting data from many which will probably vary.
The given question is,
How many countries are in North America"How many countries are in North America.
Although the answers to this from the students may vary because they don't know, the answer to this question is a constant.
This is not something which varies.
Hence this is not a statistical question.
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What is 4x-2x answer asap
The function f(x) is given by the set of ordered pairs.
{(1,0), (-10,2), (0,6), (3,17), (-2,-1)}
which equation is true?
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
Answer: the correct option is (C) f(0) = 6.
Step-by-step explanation: We are given the function f(x) by the following set of ordered pairs :
{(1,0), (-10,2), (0,6), (3,17), (-2,-1)} .
We are to select the TRUE equation.
We know that
in the ordered pairs, the first element stands for the independent variable x and the second element stands for the dependent variable f(x).
So, the equations that comes from the given ordered pairs are
[tex]f(1)=0,~~f(-10)=2,~~f(0)=6,~~f(3)=17,~~f(-2)=-1.[/tex]
Thus, the only true equation is f(0) = 6.
Option (C) is CORRECT.
Write an algebraic expression for the word expression
The sum of 15 and the product of 5 and v
use parentheses
plz make ,....................
Jack or three protein bars for a total of $4.26. Which equation could be used to find the cost c in dollars of each protein bar?
which of the following mesurments are greater than 130 fluid ounces. 5 quarts, 16 cups, 9 pints, 2 gallons or 1 gallon
solve the equation 30t - 4 = 1 for t
Answer:
A) 1/6
Step-by-step explanation:
graph
[tex]y = |x| - 1[/tex]
Find the product of two numbers whose sum is 11 and difference is 3.
The two numbers are 7 and 4
Let the first number = x
let the second number = y
The sum of the numbers is 11, in algebra form x + y = 11
The difference of the two numbers is 3, in algebra form, x - y = 3
To obtain the two unknown numbers, we solve the two equations;
from the first equation, x = 11 - y
substitute the value of x into the last equation;
(11 - y) - y = 3
11 - y - y = 3
11 - 2y = 3
2y = 11 - 3
2y = 8
y = 4
The value of x = 11 - 4 = 7
Thus, the two numbers are 7 and 4
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To find the product of two numbers with a sum of 11 and a difference of 3, solve the system of equations to find the numbers (7 and 4) and multiply them to get the product, which is 28.
Explanation:To find the product of two numbers whose sum is 11 and whose difference is 3, we can let the two numbers be x and y, with x being the larger number. Therefore, we have two equations from the given information: x + y = 11 and x - y = 3.
Adding these two equations, we get:
2x = 14x = 7Using x = 7 in the first equation, we have:
7 + y = 11y = 4Now that we have both numbers, we can find their product:
Product = x * yProduct = 7 * 4Product = 28The product of the two numbers is 28.
50 PIONTS AND BRANLIEST PWEASE HELP
The product of two rational numbers is positive. What can you conclude about the factors? Express your answer in two or more complete sentences.
to the nearest whole number, how many times larger is the volume of Earth compared to the volume of our moon? use a radius of 1079 miles for the moon and 3,959 miles for the Earth.
The volume of Earth is about 49 times larger than the volume of the Moon, based on their provided radii.
To the nearest whole number, the volume of Earth is approximately 49 times larger than the volume of the Moon.
Given that the volumes of spheres are proportional to the cubes of their diameters, and using the radii provided (1079 miles for the Moon and 3959 miles for Earth), we can calculate the volume ratio:
Volume of Earth: [tex](3959)^3[/tex]
Volume of Moon: [tex](1079)^3[/tex]
Volume of Earth compared to the Moon, = [tex](3959^3) / (1079^3)[/tex] ≈ 49.
There volume of the earth is 49 times larger.
one number is 2 larger than another number. the sum of their squares is 100. find the numbers
The numbers are 6 and -8
let
the first number = x
One of the number is 2 larger than another number .Therefore, the second number will be as follows;
x + 2Sum of there squares will be as follows:
x² + (x + 2)² = 100Therefore,
x² + x² + 4x + 4 = 100
2x² + 4x + 4 - 100 = 0
2x² + 4x - 96 = 0
x + 2x - 48 = 0
let's find x
x - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x - 6)(x + 8) = 0
x -6 = 0 and x + 8 = 0
x = 6 and x = -8
The numbers are 6 and -8.
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a local parts shop buys a machine that costs $500,000. its value depreciates exponentially each year by 10%. what is the machines value after 5 years? round to nearest integer
Help please! Don’t understand!
use the integer values of x from -3 to 13 to graph the equation y= -x
Name the point with the given coordinates (4 -2)
The point with the given coordinates (4 -2) is h.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
We are given that;
The graph of four points
Now,
One point is k with (-4,2)
One point is g with (2,4)
One point is h with (4,-2)
One point is j with (-2,-4)
Therefore, by the midpoint the answer will be h(4,-2).
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A company says that the probability of finding an all-star card in a game pack is 12.5%. A student wants to determine the probability that, if he buys 6 game packs, 2 or more will have an all-star card.
To do this, he uses a random number table to pick 6 numbers from 1 to 8. He lets 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card. He repeats this for a total of 15 trials. The results are shown in the table.
561673 366468 314255 361362 838443 126285 257231 768551 652585 468113 123711 322764 487626 783134 384664
Select from the drop-down menus to correctly complete each statement.
To estimate the probability that 2 or more out of 6 packs will have an all-star card, the student must count the number of trials with BOX RIGHT HERE and divide by the number of trials.
This gives an estimated probability of about . BOX RIGHT HERE
PLEASE I NEED THIS ANSWERED I HOPE ITS CLEAR ENOUGH.
Answer:
the first box is "two or more 1s"
the second box is "0.13"
Step-by-step explanation: Im a K12 Student
The probability that 2 or more out of 6 packs will have an all-star card is given by the equation P = 0.1333
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that 2 or more out of 6 packs will have an all-star card be P
The probability of finding an all-star card in a game pack is 12.5 %
The student has pointed that 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card
The test results are given in set A = { 561673, 366468, 314255, 361362, 838443, 126285, 257231, 768551, 652585, 468113, 123711, 322764, 487626, 783134, 384664 }
The number of trials that represent that 2 or more out of 6 packs have an all-star are = { 468113 , 123711 }
Therefore , the probability is given as
Probability that 2 or more out of 6 packs will have an all-star card P = 2/15
On simplifying the equation , we get
Probability that 2 or more out of 6 packs will have an all-star card P = 0.133
Hence , the probability is 13.33 %
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Could someone please help me on this
i need alot of help in math
Dakota built a wall with bricks like this one:
Look at Dakota’s wall:
What is the length of the side of the brick labeled a? ____________
What is the length of the side of the brick labeled b? _____________
What is the total height of the wall? ____________
What is the total length of the wall? __________
Which group of numbers is ordered from least to greatest
What is the weight ( in grams) of a liquid that exactly fills a 163.5 millimeter container if the density of the liquid is 0.492 grams/millimeter?
write the function for the graph below
Use unit multipliers to convert 123 pounds per mile to ounces per centimeter. There are 5,280 feet in 1 mile. There are 16 ounces in 1 pound. There are approximately 2.54 cm in 1 inch. Enter your answer as a decimal rounded to the nearest hundredth. Just enter the number.
Help please........................