Rebecca is planning to visit relatives in Omaha Nebraska. She will drive 610 miles from her home in Indianapolis. On her trip back home, will she be traveling –610 miles? Use mathematical vocabulary to justify your answer.
Rebecca will travel another 610 miles on her way back from Omaha to Indianapolis, not -610 miles, as distance is a scalar quantity and does not adopt a negative sign. The total round trip distance is therefore 1220 miles.
Explanation:When Rebecca returns home from her trip to Omaha, Nebraska, she will indeed travel another 610 miles. However, the use of -610 miles might be misleading in this context. In mathematics, especially when discussing distance, the concept of negative numbers often represents direction rather than decrement. Therefore, saying Rebecca will travel -610 miles could imply direction, but since she is returning to her starting point, the actual distance traveled is 610 miles, the same as her outbound trip.
Distance, as a quantity, is scalar and therefore always non-negative. When keeping track of total distance travelled, irrespective of direction, the concept of positive and negative doesn’t apply—the distance simply adds up. So, the total distance Rebecca travels (going to Omaha and then back to Indianapolis) would be 1220 miles. This demonstrates the concept of absolute value in mathematics, where the focus is on the magnitude of a number without regard to its sign.
P = a + b + c
Solve for c
I will give Brainliest if you answer these 4 questions!!!!
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the better deal for you? Show your work. Justify your answers in the space below
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents? Prove your thinking.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece. The fireworks stand charges 85 cents for four. Which is the better deal? How can you tell?
Frosted flakes has 11 grams of sugar in each 1 ounce serving. Raisin Bran has 13 grams of sugar in each 1.4 ounce serving. Which one has less sugar from an ounce of cereal? How can you tell for sure? Prove your answer.
Please help this is my last day to get my grades up before report cards go out !!
I forgot how to do this
C= 2pir solve for r
Please help me with this
Jake earns $12.00 more per week on his paper route than three times the amount, s, that Steve does. Steve earns $15.00 per week. How much does Jake earn per week?
Jasmine is 5 years younger than twice her sisters age. If Jasmines sister is 22 years old. Then, how old is jasmine
Jody is cutting wood to make picture frames. How many pieces of wood that are 10 3/4 inches long can cut from a board that is 75 1/4 inches long?
A) 7 pieces
B) 10 pieces
C) 65 pieces
D) 85 pieces
Charlie bought 2 1/2 pound bag of oranges for $3.75. What is the cost of one pound of oranges
Corrine is organizing a bus trip to an amusement park. She has 245 people signed up to go on the trip. The coach buses can seat 55 people per bus. How many buses should Corrine hire?
Explain how you can use doubles when multiplying with 4 to find 4x8
math question down below
Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner.
A recipe calls for 15 oz of flour for every 8 oz of milk .is the relationship between ounces of four and ounces of milk proportional explain
Answer:
Yes, there is a proportional relation.
Step-by-step explanation:
Given,
Ounces of flour for 8 ounces of milk = 15,
So, the ounces for 1 ounces of milk = [tex]\frac{15}{8}[/tex]
Let y be the ounces of flour for x ounces of milk,
∵ The ounces for x ounces of milk = [tex]\frac{15}{8}x[/tex]
[tex]\implies y = \frac{15}{8}x-----(1)[/tex]
Which is the required relation,
Since,
[tex]0=\frac{15}{8}(0)[/tex] ( True )
I.e. line [tex]y=\frac{15}{8}x[/tex] passes through the origin,
Hence, the relationship (1) is proportional.
Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded.
Together they downloaded 220 songs. How many songs did each download?
Please show how you got it...
Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 127 songs, which equals the total of 220 songs they downloaded together.
The total number of songs downloaded by Mr. and Mrs. Winkle is 220. If Mr. Winkle downloaded 34 more songs than Mrs. Winkle, we can set up a system of equations to solve for the number of songs each downloaded. Let x represent the number of songs Mrs. Winkle downloaded, so Mr. Winkle downloaded x + 34 songs.
The equation representing the total number of songs downloaded by both is:
x + (x + 34) = 220
Combining like terms gives us:
2x + 34 = 220
Subtracting 34 from both sides, we get:
2x = 186
Dividing both sides by 2, we find:
x = 93
So, Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 93 + 34, which is:
Mr. Winkle downloaded 127 songs.
71 – 9a = 215 what is a? please show your work.
Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. If she buys 2 sketchpads, how many pemcils can she buy while staying in her price range?
The number of pencils she can buy while staying in her price range is from 12 to 18 pencils
let x represent the number of pencils she can buy .
First step is to calculate the Total cost
Total cost=2($3.25) + x($0.75)
Total cost=$6.50 + $0.75x
Second step is to write the inequality
Inequality=15 ≤ 6.50 + 0.75p ≤ 20
Third step is to substract $6.50
8.50 ≤ 0.75p ≤ 13.50
Fourth step is to divide each by 0.75
8.50/0.75=11.33
13.50/0.75=18
11.33 ≤ x ≤ 18
Therefore The number of pencils she can buy while staying in her price range is from 12 to 18 pencils
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What is the x-intercept of the line with the equation ?
1/3x+y=-15
( , 0)
Write an expression for the calculation the product of 4 and 4 added to double the number 5
What polyhedron can be assembled from this net??
If the circumference of one of the world's largest pizzas is 215 feet, what is its radius? Use 3.14 to approximate pi. Round to the nearest tenth.
Final answer:
The radius of the world's largest pizza with a circumference of 215 feet, using an approximation for pi of 3.14, is approximately 34.2 feet when rounded to the nearest tenth.
Explanation:
To find the radius of the world's largest pizza given its circumference of 215 feet, we use the formula for the circumference of a circle: C = 2πr, where C is the circumference, π (pi) is approximately 3.14, and r is the radius. We rearrange this formula to solve for the radius: r = C / (2π).
Substituting the given values into this equation, we get:
r = 215 feet / (2 × 3.14)
r = 215 / 6.28
r = 34.2356688 feet
Rounding to the nearest tenth gives us:
r ≈ 34.2 feet
Pre-image ABCD was dilated to produce image A'B'C'D' .
What is the scale factor from the pre-image to the image?
Enter your answer in the box as a fraction in simplest form.
Answer:
its 2/5 i took the test
Step-by-step explanation:
explain the difference between a linear equation in one variable and a linear equation in two variables. Give an example of each.
Final answer:
The difference between a linear equation in one variable and in two variables lies in the number of variables and their graphical representation: a linear equation in one variable like 'x + 5 = 0' represents a point on the x-axis, while a linear equation in two variables like 'y = 2x + 3' represents a straight line on a plane.
Explanation:
Difference between a Linear Equation in One Variable and Two Variables
The main difference between a linear equation in one variable and a linear equation in two variables is the number of variables involved and how they can be graphically represented. A linear equation with one variable can be written in the form ax + b = 0, where a and b are constants, and x is the variable. This equation represents a single straight line in a two-dimensional space, where all points on the line have the same x-coordinate. For example, x + 5 = 0 is the equation of a vertical line represented by the point where x is -5.
On the other hand, a linear equation in two variables typically has the form y = mx + b, which represents a line in two-dimensional space where m is the slope of the line and b is the y-intercept. Here, x is the independent variable and y is the dependent variable. As x changes, y changes in a way that the relationship between them remains constant, making the graph a straight line. For example, y = 2x + 3 is an equation of a line with a slope of 2 and a y-intercept of 3.
When comparing the two types of equations, it's clear that linear equations in two variables can represent a broader range of relationships between two quantities, allowing for a visual representation of the relationship as a slope on a graph.
In 2005, 8.1 x 10^10 text messages were sent in the United States
Eight more than 3 times a number is equal to 5 less than twice the number. Find the number.
two number that have a sum of 45 twice the greater number is six more than 5 times the lesser number
write the slope intercept form of the equation through: (-1,3) ,parallel to y=3x-1
slopes of two parallel lines are equal
from the equation y=3x-1, slope =3
using slope m=3 and point (-1,3) , we find the y intercept
y=mx+b
3=3(-1) +b
b=6
plugging m=3 and b=6 in slope intercept form to get the equation
y=3x+6
Determine the discriminant of 3x2 - 5x + 4 = 0
a) 20
b) 23
c) -23
d) -19
please help me :D
the distance from town a to town b is 5 miles and the distance from town b to town c is 4 miles. which of the following could Not be the distance, in mile from town a to town c.
A. 1
B. 4
C. 8
D. 9
E. 10
The Triangle Inequality Theorem dictates that the impossible distance from town A to town C, given the distances from A to B (5 miles) and B to C (4 miles), is (E) 10 miles because it exceeds the sum of the other two sides.
The question pertains to the Triangle Inequality Theorem, which in the context given, states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Here we have two sides measured as 5 miles (from town A to town B) and 4 miles (from town B to town C).
To identify which distance could not be from town A to town C, we recognize that the third side must be less than the sum of the other two sides (5 miles + 4 miles = 9 miles), but also greater than the absolute difference between those two sides (5 miles - 4 miles = 1 mile). Therefore, the only impossible distance for the third side, based on the options provided, is 10 miles, as it exceeds the sum of the other two sides.
Options A (1 mile), B (4 miles), C (8 miles), and D (9 miles) all satisfy the Triangle Inequality Theorem and could represent the distance from town A to town C. Hence, the answer is E (10 miles).