4 units is the distance between these two points represent
What is Number system?A number system is defined as a system of writing to express numbers.
Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Let the x point is at minus two and y is at two
The distance will be always positive
As we count the number of humps for each unit we get four.
So the distance is 4 units.
The distance between two points is the length of the line joining the two points
|-2-2|=4
Hence, 4 units is the distance between these two points represent
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What does .05mm convert to in scientific notation
A survey was taken of 2000 voters before an election.1650 of the ones surveyed said they would vote for candidate A.What percent of those surveyed planned to vote for candidate A.
82.5% of the surveyed voters planned to vote for candidate A, calculated by dividing 1650 (voters for candidate A) by 2000 (total surveyed) and multiplying by 100.
It seems like there's a slight discrepancy in the given numbers. You mentioned 1650 voters for candidate A in the question, but then provided a different ratio (160/300) in the expression. Let's correct this.
To find the percentage of voters planning to vote for candidate A, we need to calculate the ratio of voters for candidate A to the total number of voters surveyed, then convert this ratio into a percentage.
Given:
- Number of voters for candidate A: 1650
- Total number of voters surveyed: 2000
We can calculate the ratio as:
[tex]\[ \frac{1650}{2000} \][/tex]
Now, let's find the percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of voters for candidate A}}{\text{Total number of voters surveyed}} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = \left( \frac{1650}{2000} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = \left( 0.825 \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = 82.5\% \][/tex]
So, 82.5% of those surveyed planned to vote for candidate A.
Complete Question:
A survey was taken of 2000 voters before an election. 1650 of the ones surveyed said they would vote for candidate A. What percent of those surveyed planned to vote for candidate A.
First, we need to find the ratio of voters who planned to vote for candidate A to the total number of voters surveyed. This can be represented as: [tex]$\frac{160}{300}$[/tex]
6. Identify an equation that models the situation and find its solution.
It’s going to be Lindsay’s birthday soon, and her friends Mary, Jacqui, Tadeusz, Opal, and
Tony have contributed equal amounts of money to buy her a present. They have $45.00 to
spend between them. Determine how much each contributed.
(1 point)
5y = 45.00; y = $9.00
5y = 45.00; y = $10.00
5 + y = 45.00; y = $39.00
5 + y = 45.00; y = $40.00
Write in slope-intercept form an equation of the line that passes through the given points.
(−1, −1), (1, 5)
Answer: y= ??????
Which expression represents the calculation “subtract 10 from 36, then divided by 6”?
A) 6 ч (36 − 10)
B) (36 − 10) ч 6
C) (36 ч 6) − 10
D) (10 − 36) ч 6
What the answer to this
A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.
The length of a rectangle is one unit shorter than one-sixth of the width, x.
Which expression represents the perimeter of the rectangle?
7/3x−2
7/3x−8
1/3x−2
13x−4
A machine factory produces 2 parts per second. One shift is 10 hours long.
What is the production rate in parts per shift?
Enter your answer in the box.
The length of a rectangle is 6 cm more than its width. The area of the rectangle is 256 cm,superscript,2,baseline,. Let x represent the width of the rectangle in centimeters. Which equation represents the situation? Answer Options with 4 options A
. 6x,superscript,2,baseline, − 256 = 0 B
. 6x,superscript,2,baseline, + 256 = 0 C.
x ,superscript,2,baseline, − 6x + 256 = 0 D.
x ,superscript,2,baseline, + 6x − 256 = 0
The equation which represents the situation is:
[tex]x^2+6x-256=0[/tex]
Step-by-step explanation:Let x represent the width of the rectangle in centimeters.
The length of a rectangle is 6 cm more than its width.
This means that the length of the rectangle is: x+6 cm.
Also, we know that the area of a rectangle is the product of the length and width of the rectangle.
Here, the area of the rectangle is 256 cm².
i.e.
[tex]x(x+6)=256\\\\x^2+6x=256\\\\i.e.\\\\x^2+6x-256=0[/tex]
Identifytwonumbers,onerationalnumber and one irrational number, that are between 1.4 and 1.6. Include the decimal approximation of the irrational number to the nearest hundredth.
1.5 is rational
1.58472679422222.... is irrational because it doesn't end
Carly's age is more than twice his sisters age, s. Which of the following expressions represents Carly's age? (A) 2s + 3 (B) 3s + 2 (C) 2(s + 3) (D) s•s +3
Answer:
A 2s + 3
Step-by-step explanation:
Carly's age is more than twice his sisters age, s. Which of the following expressions represents Carly's age? (A) 2s + 3 (B) 3s + 2 (C) 2(s + 3) (D) s•s +3
3.55 divided by 5=..... tenths divided By 5+......... hundredths divided by 5
3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
To solve 3.55 divided by 5 using place values, we can break 3.55 into tenths and hundredths:
3.55 can be written as 3.5 + 0.05.
Tenths: 3.5 = 35 tenths
Hundredths: 0.05 = 5 hundredths
Now, we can write:
3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
Let's verify.
3.55/ 5 = 0.71
35 tenths /5 = 7 tenths
5 hundredths /5 = 1 hundredths
Adding them: 7 tenths + 1 hundredths = 0.71
Thus, it is verified.
Hence, 3.55 divided by 5 = 35 tenths divided by 5 + 5 hundredths divided by 5
What is the solution set for the open sentence with the given replacement set? 13-x=7, {4,5,6,7} a. 4 b. 5 c. 6 d. 7
Which three points in the figure are collinear?
a) F, E, G
b) A, B, D
c) E, C, A
d) A, B, C
In the figure, the points F, E, and G are collinear. Collinear points are points that lie on the same straight line. The correct option is A).
Point F is clearly on the same straight line as points E and G because it falls directly in line with them, creating a continuous sequence.
It can visualize this by a line passing through points F, E, and G. This line would pass through all three points without any interruption.
No other points in the figure form such a straight-line arrangement with F and G, further confirming that F, E, and G are the collinear points.
In summary, points F, E, and G are collinear because they lie on the same straight line, and no other points in the figure share this property with them.
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finding the domain and range and answering in interval notation.
The domain is [-3,2)
The range is [-5,4]
How to get the domain and range of functionsDetermining the domain and range involves analyzing the behavior and restrictions of the function. The domain and range may vary depending on the type of function and any restrictions imposed by the function's definition, such as square roots, division by zero, or logarithms.
Understanding the domain and range is crucial in analyzing and describing the behavior and output of functions in mathematics and various fields where functions are applied.
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An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×10^6 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
Enter your answer in the box.
5.3 × 10^ g
Jeff is saving to purchase a new basketball that will cost at least $88. He has already saved $32. At least 7) Jeff is saving to purchase a new basketball that will cost at least how much more does he need to save for the basketball?
The cost of the ball is $0.05. This is determined through a simple algebraic calculation that takes into account that the bat costs $1.00 more than the ball and the total cost is $1.10.
The student's question is about solving a simple algebraic problem involving the cost of two items with a given difference in their prices. In the problem statement, a bat and ball cost a combined total of $1.10. The bat costs $1.00 more than the ball.
Let's denote the cost of the ball as x dollars.Consequently, the cost of the bat will be x + $1.00, since it costs one dollar more than the ball.According to the information provided, the combined cost of the ball and bat is $1.10. Therefore, we can write the following equation: x + (x + $1.00) = $1.10.Simplifying this equation: 2x + $1.00 = $1.10.Subtracting $1.00 from both sides of the equation, we get 2x = $0.10.Dividing both sides of the equation by 2, we find that x = $0.05.Therefore, the cost of the ball is $0.05.
Which set does not contain –3? the set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers
The set of whole number since it is defined as positive integers + zero.
We have given that,
The set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers.
We have to determine the Which set does not contain –3
What is the set of all whole numbers?Integers are the set of whole numbers and negative of natural numbers. Hence, integers include both positive and negative numbers including 0. Real numbers are the set of all these types of numbers natural numbers, whole numbers, integers and fractions.
Therefore we get,
The set of whole number since it is defined as positive integers + zero.
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Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain why zero is the opposite of itself
Answer:
zero is the opposite of itself because there is no negative zero to be its opposite so it is itselfs opposite.
Brianne is three times as old as Camila. Four years from now she will be two-times as old as Camila. How old are Brianne and Camila now?
Age of Camila is: 4 years.
Age of Brianne is: 12 years.
Step-by-step explanation:Let the present age of Camila be : x
and the present age of Brianne be : 3x.
( Since, it was given that:
Brianne is three times as old as Camila )
Four years from now the age of Camila will be: x+4
and the age of Brianne will be: 3x+4
Now, it is given that:
Four years from now she will be two-times as old as Camila.
i.e.
[tex]3x+4=2(x+4)\\\\i.e.\\\\3x+4=2x+2\times 4\\\\3x+4=2x+8\\\\3x-2x=8-4\\\\x=4[/tex]
Hence, the age of Camila is: 4 years.
and the age of Brianne is: 12 years.
what is 1/4 of 1 million
325 people were in a tour group. Six buses were completey filled and 7 people chose to walk.How many people did the bus hold?
Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest
4x-8y=9 what is the slope of a line perpendicular to this line
Alyssa received $30,000 from an inheritance and invests part in a certificate of deposit (CD) paying 5% annual interest and the rest in Apple Inc. offering an annual return of 11%. If the annual income from her investments is $2,220, how much did Alyssa invest in each?
13 + 3p = 7 I need help finding what p stands for.
Given the linear equation y=5x+7, fill in the table by choosing values for x, and calculating the corresponding y values. Use integer values for x.
Final answer:
To fill in the table for the equation y=5x+7, integer values for x are chosen and substituted into the equation to find the corresponding y values. The (x, y) pairs are then recorded in the table and can be plotted on a graph.
Explanation:
Filling in a Table for a Linear Equation
To fill in the table for the linear equation y=5x+7, let's choose integer values for x and calculate the corresponding y values. Here's how you do it step by step:
Pick an integer value for x (e.g., -1, 0, 1, 2, etc.).
Substitute this value of x into the equation to solve for y.
Record the (x, y) pair in the table.
For example:
If x = -1, then y = 5(-1)+7 = 2, so the point is (-1, 2).
If x = 0, then y = 5(0)+7 = 7, so the point is (0, 7).
If x = 1, then y = 5(1)+7 = 12, so the point is (1, 12).
If x = 2, then y = 5(2)+7 = 17, so the point is (2, 17).
Remember, the dependence of y on x represents the fact that y changes when x changes, according to the equation of the line. After calculating several points, you can plot these points on a graph, and they should form a straight line because they belong to a linear equation.
3x+4(-4x+4)= -75
Please solve
One winter day the temperature ranged from a high of 20 F to a low of -25F . By how many degrees did the temperature change?
What is 485 times 34
Answer:
1,419 is your answer
Four pieces of wood each 11 1/2 inches long are required to build a cabinet. If all four pieces are cut from one board and 1 inch is allowed for waste in cutting each piece, how long should the board be?
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I need help ASAP. And, when done solving, how did you get your answer and what was your thought process (not steps). Thank you!!