1. Use both methods to find the distance between the points on the number line.
Method A: Count the number of units between the points.
Method B: Take the absolute value of the difference of the two numbers.
When taking the absolute value, show that the greater number or the lesser number can be the subtrahend (the number subtracted).
To find the distance between two points on the number line, we can use two methods. The first is by counting the number of units between the two points, and the second is by taking the absolute value of the difference of the two points. Both methods lead to the same result.
Explanation:We will use two methods to find the distance between two points on a number line.
Method A: This involves simply counting the number of units between the two points. For example, if the points are 3 and 8 on the number line, you count the units between these points: 4, 5, 6, and 7. Thus, there are four units between the points 3 and 8.Method B: This method involves taking the absolute value of the difference of the two numbers. In the same example, to find the distance between 3 and 8, first subtract one from the other (e.g., 8 - 3 or 3 - 8). You get 5 or -5. Then take the absolute value of these numbers, which makes negative numbers positive, and therefore both 5 and -5 become 5. So the distance between the points 3 and 8 is 5.From both methods, we can see that the distance between the two points on the number line, whether you count the units or take the absolute value of their difference, is the same.
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HELP ASAP PLZ
Jane has 38 marbles of the same shape and size in a box. The colors and amounts of the marbles are shown below:
•14 white marbles
•9 gray marbles
•15 blue marbles
Without looking in the box, Jane takes out a marble at random. She then replaces the marble and takes out another marble from the box. What is the probability that Jane takes out a gray marble in both draws?
9/38x8/37 =72/1406
9/38+8/37 =637/1406
9/38+9/38 =684/1444
9/38x9/38 =81/1444
Answer:
The correct option is D. 9/38x9/38 =81/1444
Step-by-step explanation:
Total number of marbles in the bag = 38
Number of white marbles in the bag = 14
Number of gray marbles in the bag = 9
Number of blue marbles in the bag = 15
We need to find the probability that Jane takes out a gray marble in both draws
[tex]\text{Probability that Jane draws gray marble in first draw = }\frac{9}{38}[/tex]
Given that : Then Jane replaces the marble for the second draw
[tex]\text{Probability that Jane draws gray marble in second draw = }\frac{9}{38}[/tex]
[tex]\text{Probability that Jane draws gray marble in both draws = }\frac{9}{38}\times \frac{9}{38}[/tex]
[tex]\text{Probability that Jane draws gray marble in both draws = }\frac{81}{1444}[/tex]
Therefore, The correct option is D. 9/38x9/38 =81/1444
Atticus wants to buy of a square yard of wrapping paper. The paper costs $2.40 per square yard. How much will Atticus spend on the wrapping paper?
a.$1.60
b.$4.80
c. $7.20
d. $9.20
Final answer:
Atticus will spend $4.80 on the wrapping paper.
Explanation:
To find out how much Atticus will spend on the wrapping paper, we need to multiply the cost per square yard by the number of square yards desired.
Given that Atticus wants to buy a square yard, we multiply by to get.
Therefore, Atticus will spend $4.80 on the wrapping paper, which corresponds to option b.
1. -2(n-6) 2. (5b-4)1/5 3. 2/3(6y+9) 4. 4t-7t 5. -18v squared + 23v squared 6. 13q-30q
I'LL GIVE BRAINIEST FOR CORRECT ANSWERS.
Given ABCDEF ≅ GHIJKL . What is the measure of ∠K ? Enter your answer in the box. m∠K = blank °
Hello! Let me help!
Answer: 114
Step-by-step explanation: So, I gave you an answer, but how is it right? If you see between ABCDEF and GHIJKL there is ≅. That means congruent, and or equal (identical.)
So, looking at ABCDEF, the fifth letter is E. Then look at the other one, the fifth one is K. Which, K is what we're trying to figure out. Well, if the angles are congruent all letters are equal to the other letters. So, Look for E on the left-hand shape. WOAH! What does it show over top of the letter?! Oh! It's 114. Which means.
The answer means E ≅ K. Which also means. E ≅ 114. and! 114≅K.
Congrulations for understanding how to do this!
how do you write 15.083 and 432.98 in word form
multiply using partial products . Record the products 56x 32
Final answer:
To multiply 56 by 32 using partial products, break down the numbers into their place values, multiply each component, and add the partial products to get the final product, which is 1792.
Explanation:
To multiply 56 by 32 using the method of partial products, you break down each number into its place value components and then multiply each component of the first number by each component of the second number before adding all the products together.
First, break down 56 into 50 and 6.
Second, break down 32 into 30 and 2.
Multiply each part of 56 (50 and 6) by each part of 32 (30 and 2) separately:
50 x 30 = 1500
50 x 2 = 100
6 x 30 = 180
6 x 2 = 12
Finally, add all these partial products together:
1500 + 100 + 180 + 12 = 1792
The product of 56 and 32 using partial products is 1792.
Mayumi hikes 3 miles in 2 hours. Edwin hikes 4 miles in 3 hours. Who takes more time to complete a 12 mile hiking trail? How much more time
Edwin will take more time to complete a 12-mile hiking trail. By 1 hour.
Use place value to find the product to 40x8= how many tensx8
What is the length of each side of a cube whose volume is 8? Question 4 options: 1 2 3 4
Aaron, Chris, Maria, Sonia, and Ling are on a class committee. They want to choose two members to present their conclusions to the class. How many different groups of two members can they form? a. 12 groups c. 8 groups b. 10 groups d. 15 groups
Write 5 1/6 in the form a/b, using integers to show rational numbers.
The given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The fraction given is [tex]5\frac{1}{6}[/tex] . This is a form of mixed fraction.
We know that the mixed fraction is written in form [tex]r\frac{x}{b}[/tex] and to change it in form a/b we need to multiply b with r , and then add it with x , which is equal to a , and then divide it by b.
i.e.,
Here , r = 5 , x = 1 and b = 6
So , b × r = 30 and when added with x = 1 , we get :
a = b × r + x = 31
dividing it by b we get :
a/b = 31/6
It is fraction in form a/b.
Therefore , the given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].
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Which number has the greatest value
how to solve for 5c^2 + 4b + 23 - 15 + 3c^2 + 6b - 8bc
Which equation shows y=34x−52 in standard form?
a. 3x−4y=−10
b. 3x−4y=10
c. 4x−3y=10
d. 4x−3y=−10
is the product of 7 negative numbers and 8 positive numbers a positive number or a negative number
The product of 7 negative numbers and eight positive numbers will be harmful. This is because the result of multiplying an odd number of negative numbers is negative. The outcome remains negative when this negative number is multiplied by positive numbers.
Explanation:The result of multiplying even numbers of negative numbers will be positive while multiplying odd numbers of negative numbers will be negative. In this case, as there are seven negative numbers, the multiplied result of these seven will be negative. However, when you multiply this negative number by eight positive numbers, the final impact will be negative since any number (except 0), when multiplied by a negative number, results in a negative number. So, the product of 7 negative numbers and eight positive numbers will be negative.
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Before leaving Levantine traded 270 U.S. dollars and received 3000 Mexican pesos when he returned he had 100 pesos left how much U.S dollars will he receive when exchanges it
the function f(h)=2d+4.3 relates the h height of the water in a function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 1.5 inches.
Answer:
The height of water is 7.3 inches, when diameter of pipe is 1.5 inches.
Step-by-step explanation:
We are given the following information in the question:
[tex]f(h) = 2d + 4.3[/tex]
where f(h) is a function for height of water and d is the diameter of pipe in inches.
We have to calculate height of water when d = 1.5 inches.
Putting d = 1.5 in the above equation, we get:
[tex]f(h) = (2\times 1.50)+ 4.3 = 7.3[/tex]
Hence, the height of water is 7.3 inches, when diameter of pipe is 1.5 inches.
The attached image shows the graph for the given equation.
Which number is an irrational number? A)3.5 B) 36 C)48 D) 37/100
Answer:
None of them
Step-by-step explanation:
We have to find the irrational number
Rational number:
The number which can be expressed in [tex]\frac{p}{q}[/tex] form are called rational number,where [tex]q\neq 0[/tex],p and q are integers are
Irrational number:
The number which can not be expressed in [tex]\frac{p}{q}[/tex] form are called irrational number.
A)3.5
It can be written as
[tex]\frac{35}{10}[/tex]
Where 35 and 10 are both integers number
By definition of rational number
3.5 is a rational number
B)36
[tex]\frac{36}{1}[/tex]
36 and 1 are both integers number
By definition of rational number
36 is a rational number
C)48
[tex]\frac{48}{1}[/tex]
48 and 1 are both integers number
By definition of rational number
48 is a rational number
D)[tex]\frac{37}{100}[/tex]
37 and 100 are both integers number
By definition of rational number
[tex]\frac{37}{100}[/tex] is a rational number
6x+14x+5=5(4x+1) what is x in this equation
Johnny makes $5.75 per hour at his work if he work six hours how much money will he earn
What is 1.5 to the third power?
How do you do exponents with decimals?
Please explain
Calculating 1.5 to the third power involves multiplying the number by itself two additional times, which equals 3.375. This process of handling exponents applies to decimals just as it does for whole numbers, although additional rules apply when dealing with scientific notation involving powers of 10.
Explanation:The question asks about calculating the value of 1.5 to the third power. To do exponents with decimals, the same rules apply as with whole numbers. We multiply the decimal number by itself for the number of times indicated by the exponent. Cubing, or raising a number to the third power, means multiplying the number by itself twice more (a total of three times).
Here's how it is done step by step for 1.5 to the third power (1.5³)
First multiplication: 1.5 × 1.5 = 2.25Second multiplication: 2.25 × 1.5 = 3.375So, 1.5 to the third power equals 3.375.
If we are working with an exponent that includes a power of 10, such as 10², this indicates that the decimal is shifted two places to the right, making 1 × 10² equal to 100. However, in our case with 1.5³, we simply perform the multiplications as shown above without the need to shift the decimal place.
Another consideration in handling exponents with decimals is the application of rules for multiplying exponentiated quantities and shifting the decimal point based on the power of 10. This is particularly useful when dealing with scientific notation, which expresses large or small numbers in a more manageable format.
Christina combined 18 ice cubes with 4 cups of fruit. how many ice cubes does Christina use per cup of Fruit?
Which system of linear inequalities is graphed?
a.
x<−3
{
y≤−x+1
b.
x<−3
{
y≤−x−1
c.
x≤−3
{
y≤−x−3
d.
x<−2
{
y≤−x−1
solving equations with variables on both sides
During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s field position due to these penalties?
Answer:-60
Step-by-step explanation:
They lost 60 yards due to penalties.
= -60
john bought 15 cookies and ate 3 of them. he ate % of the cookies
what number is one thousand less than 921,438, explain how u know.
The number one thousand less than 921,438 is 920,438.
Here's how we know:
Subtracting 1,000:
We want to find a number that is 1,000 less than 921,438. Subtracting 1,000 from 921,438 will give us the desired number.
921,438 - 1,000 = 920,438
Therefore, 920,438 is one thousand less than 921,438.
The explanation is as given:
We can think in terms of place values:
921,438 has a 1 in the thousands place.
Subtracting 1,000 (which has a 1 in the thousands place and zeros elsewhere) only affects the thousands place of 921,438.
The difference in the thousands place becomes 0(1 - 1), resulting in 920,438.
A traveler drove 65 mi on the first day and drove at an average speed of 70 mph for t hours on the second day. Which expressions represents the total distance traveled for both days?
A. 70 - 65t
B. 65-70t
C. 70+65t
D. 65+70t