The graph shows the distance from the car that Laura is as she hikes on the second day of a 2-day hike. Write the equation for the graph.
Answers
Laura’s hike can be described by the equation ( y = 6x ), where ( x ) represents time (in hours) and ( y ) represents distance (in miles).
Graph Description:
The graph depicts a linear relationship between time (in hours) and distance (in miles).
The x-axis represents time, ranging from 0 to 5 hours.
The y-axis represents distance, ranging from 0 to approximately 24 miles.
The line starts from the origin (0,0) and extends to the point (5,24), indicating that Laura covered a distance of approximately 24 miles in five hours.
Each grid square along the x-axis represents one hour, and each grid square along the y-axis represents approximately four miles.
Equation for the Graph:
To find the equation of the line, we’ll calculate the slope (m) and the y-intercept (b).
Let’s use two points on the line: (1,0) and (5,24).
The slope (m) can be calculated as follows: [tex][ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{24 - 0}}{{5 - 1}} = \frac{{24}}{{4}} = 6 ][/tex]
The y-intercept (b) is where the line crosses the y-axis (at point (0,0)). Therefore, ( b = 0 ).
The equation of Laura’s hike on the graph is: [ y = 6x ]
Explanation:
The equation ( y = 6x ) represents Laura’s hiking progress. For every hour she hikes, she covers a distance of 6 miles.
The slope of 6 indicates that her speed is consistent (6 miles per hour).
The y-intercept of 0 means that she started at the origin (0 miles) when the hike began.
In summary, Laura’s hike can be described by the equation ( y = 6x ), where ( x ) represents time (in hours) and ( y ) represents distance (in miles).
Related Questions
Use the number line to find 3/4 times 2/5 . Label all the parts above and below.
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The sum of two numbers is 144 and the difference is 81. What are the two numbers?
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a - b = 81
-----------------add
2a = 225
a = 225/2
a = 112.50
a - b = 81
112.50 - b= 81
-b = 81 - 112.50
-b = -31.50
b = 31.50
so ur numbers are : 112.50 and 31.50
Can someone help me in this thanks
Answers
P=20 ft ,l=7ft but w=?
P=2(l+w) 6ft=2w
20ft=2(7ft+w) 6ft/2=2w/2
20ft=14ft+2w 3ft=w
20ft-14ft=14ft-14ft+2w
Therefore the width is 3ft
An inequality is a statement that shows that two numbers are equal. TRUE OR FALSE?
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What is the prime factorization of 302 in exponent form?
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In prime factorization, we disregard numbers that are not prime. 1 is not prime by definition, and 302 is even, so it is not prime.
The prime factorization is 2*151.*
Since both factors are to the first power, I think we can just leave it as that.
*Brainliest Answer is always appreciated!
Phil has 189 stamps to put into his stamp album he puts the same number of stamps on each of 9 pages. how many stamps does Phil put on each page?
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Write an expression that represents the sum of b and 5 times 2
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The mathematical expression for the sum of b and 5 times 2 is b + (5 × 2).
The expression that represents the sum of b and 5 times 2 is written as b + (5 × 2). The parentheses indicate that the multiplication should be done first, resulting in 5 times 2, which equals 10. Then, you add the value of b to this result. Therefore, the complete expression evaluates to b + 10.
It is important to understand the role of parentheses in mathematical expressions. Parentheses define the order of operations, ensuring that operations inside them are carried out first. Without the proper use of parentheses, expressions can yield different results.
dimensions definition
Answers
Every 1 inch on her copy is the same as 40 cm on the original.
You just have to multiply by 40 and convert to centimetres.
2 x 40 = 80
1.5 x 40 = 60
So the original painting is:
80cm by 60cm
Final answer:
Dimensions in physics are the measurable extents that define an object or quantity, such as length for one-dimensional measures and volume for three-dimensional space. Length is typically measured in meters, while volume is a product of lengths and measured in cubic meters. Dimensional analysis is used for unit conversion and to ensure equations are dimensionally consistent.
Explanation:
The term dimensions in the context of physics refers to the measurable extents of any object or physical quantity, which are necessary for defining that quantity. Length is a one-dimensional measure, representing the extent of an object along its greatest dimension, typically measured in meters or its derived units such as kilometers (km) or micrometers (μm). On the other hand, volume is a three-dimensional measure of the space occupied by a sample of matter, represented as the product of lengths in each dimension and has the dimension L3. Dimensional analysis is a method in physics for converting between units using conversion factors to ensure that equations and calculations are dimensionally consistent. Physical quantities must align in dimension in any mathematically correct equation, otherwise known as having dimensional consistency, meaning each term within an equation must have the same dimensional expression.
A piece of ribbon is cut into two shorter pieces in the ratio 2.8 : 1.25. The difference in the length of the two shorter pieces is 80.6 centimeters. What is the length of the original piece of ribbon?
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a machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
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28/2.8 = 10
10 x 9 = 90
elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix. If each serving contains the same amount of trail mix, how much trail mix is in each servings?
Please show work. Thank you
Answers
33.75/15=2.25
2.25
hope it helps
Karita had 138.72 in her checking account. She wrote checks for 45.23 and 18.00. Then she made a deposit of 75.85 into her account. What's the best estimate for how much money is in karitas account now?
Answers
140
-45
-20
___
75. +75= 150
Answer:
The best estimates is $150
Step-by-step explanation:
The initial value in her account was 138.72
She wrote checks, so this are debits. So, you have to substract the values of the checks from the initial number.
[tex]138.72-45.23-18=75.49[/tex]
Then she made a deposit of 75.85, a deposit is credit value, so you have to add this number to the account value.
[tex]75.49+75.85=151.34[/tex]
Estimated ammount of money on karitas account is $150.
Sara has to pay $10.75 a month for gym membership but will be billed yearly.how much will she pay in 5 1/2 years.
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Factor completely 81a^2+36a+4
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The answer is (9a+2)(9a+2) or you can write it like the picture
Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.86 sentimeters tall. He measured it again with an inch ruler. The shelf is 9 inches tall.
PART A - Wrte an equatioon you could use to find the number of centimeters in 1 inch.
PART B - Solve the equation you wrote in PART A. Show your work.
PART C - The top shelf of Natheniel's bookcase is 12 inches tall. How many centimeters tall is the top shelf?
Answers
ruler = 22.86cm
ruler = 9 in
You can equate 22.86cm and 9in because they both equal the length of the ruler (transitive property).
22.86cm = 9in
Then you can write a proportionality equation.
[tex] \frac{22.86cm}{9in} = \frac{x}{1in} \\ [/tex]
Part B -
Cross multiplying,
[tex](9in)x = (22.86cm)1 \\ x = \frac{22.86cm}{9in}= 2.54cm/in[/tex]
Part C - We can use something called dimensional analysis - multiplying 12 cm by (1in/2.54cm) - in order to change the units from inches to cm. This is possible because 1in = 2.54cm, the fraction 1in/2.54cm = 1. And also the units cm will cancel out.
[tex] \frac{12cm}{1} * \frac{1in}{2.54cm} = 4.72in[/tex]
is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C
Answers
Ax+By=C
We have:
3x-5+y=2y-4
3x+y-2y=-4+5
3x-y=1
Therefore:
A=3
B=-1
C=1
Answer: the equation in standard form would be: 3x-y=1; and the values of A, B and C would be: A=3; B=-1 and C=1.
Final answer:
The given equation is linear and can be written in standard form as 3x - y = 1, where the coefficients are A = 3, B = -1, and C = 1.
Explanation:
The equation 3x - 5 + y = 2y - 4 is indeed linear. To write it in standard form, we combine like terms and move all terms involving variables to one side of the equation and the constant terms to the other side. Subtracting y from both sides and adding 5 we get 3x - y = 1. Here, A is 3, B is -1, and C is 1.
Jack and jill painted one-half of Their bedroom in three-fourths of an hour. At this rate, how long would it take them the paint the entire room
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That means that, considering they keep up the same speed, it will take them 3/4 of an hour to do the OTHER half.
This means that it will take them....
1 and 1/2 hours to do their entire room.
Which ordered pair is a solution to the system of linear equations -4x+y=8 and x-5y=17
Answers
replace x = 5y + 17 into -4x+y=8
-4(5y + 17) +y = 8
-20y - 68 + y = 8
-19y = 8 + 68
-19y = 76
y = 76/-19
y = -4
x = 5y + 17
x = 5(-4) + 17
x = -20 + 17
x = 3
Answer: the order pair (3, -4)
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall?
So the problem is p___853
A. <
B. >
C. underlined <
D. underlined >
Answers
Answer:
less because cant be more than u know 835
Step-by-step explanation:
btw p stand for people
On the track team, 3/5 of the members are boys. Of these boys, 4/7 are sixth graders. Of the sixth-grade boys on the team, 1/3 are runners. What fraction of the track team are sixth-grade boy runners?
Answers
4/35
this should be the answer.
By multiplying the fractions 3/5, 4/7, and 1/3, which represent the boys, sixth graders, and runners respectively, we find that 4/35 of the track team are sixth-grade boy runners.
To find the fraction of the track team that consists of sixth-grade boy runners, we'll need to multiply three fractions that represent different parts of the team:
The fraction of the team that are boys: 3/5
The fraction of these boys that are sixth graders: 4/7
The fraction of the sixth-grade boys that are runners: 1/3
Now, multiplying these numbers expressing common fractions gives us:
(3/5) × (4/7) × (1/3) = 12/105 = 4/35.
So, 4/35 of the track team are sixth-grade boy runners.
Combine like terms to simplify the expression:
1.3b+7.8−3.2b
Answers
1.3b -3.2b +7.8
-1.9b + 7.8
that's the simplification
don't forget to make my answer the brainliest if it's correct
There are 26.2 miles in a marathon. Enter the number of miles using a mixed number in simplest form.
Answers
Hope this helps!
Answer:
[tex]26\frac{1}{5}[/tex] miles.
Step-by-step explanation:
We have been given that there are 26.2 miles in a marathon. We are asked to find the number of miles using a mixed number in simplest form.
First of all, we will convert our given number as a fraction by multiplying and dividing by 10 as:
[tex]26.2\times\frac{10}{10}=\frac{262}{10}[/tex]
[tex]\frac{262}{10}=26\frac{2}{10}[/tex]
[tex]26\frac{2*1}{2*5}[/tex]
[tex]26\frac{1}{5}[/tex]
Therefore, the number of miles in mixed number would be [tex]26\frac{1}{5}[/tex] miles.
Sam will buy apples that cost $0.89 per pound. The total cost of the apples is proportional to the number of pounds he buys. Write an equation to model the situation . Let c = total cost and n = number of pounds.
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c=0.89n
would be the correct answer because the cost is determined by the amount of pounds of apples Sam buys.
Describe two different methods you can use to graph the equation y=2x+4.
Which method do you prefer? Explain.
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Another method would be to plug in 0 for X and get the Y intercept then plug in 0 for Y and find the X intercept. graph the points and connect
in 2011, the population of Laos was about 6.586 x 10 to the 6 people. what is the number written in standard notation?
Answers
....................................
The population of Laos in 2011, given in scientific notation as 6.586 x 10 to 6, is equivalent to 6,586,000 in standard notation.
Explanation:The question is asking to convert the population of Laos in 2011, which is given in scientific notation, into standard notation. The scientific notation given is 6.586 x 10 to the 6. To convert this to standard notation, we simply move the decimal point 6 places to the right, as the exponent of 10 is positive. This results in the number 6,586,000; which is in standard notation.
This process of conversion is part of a larger mathematical concept known as scientific notation, which is commonly used to express very large or very small numbers.
Learn more about Scientific Notation here:https://brainly.com/question/16936662
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write to explain how you can break apart 16×34 into four simpler multiplication problems.
Answers
10 x 4
6 x 30
6 x 4
i cant explain things
The expression written in 4 simplified multiplication is
10×30 + 10×4 + 6×30 + 6×4. It is written using the distributive property.
What is multiplication?Multiplication is the process of adding a number up to a given number.
The given expression is 16 × 34.
Simplify the expression as follows:
16 × 34
= ( 10 + 6 ) × (30 + 4)
= 10×30 + 10×4 + 6×30 + 6×4
Hence, the expression written in 4 simplified multiplication is
10×30 + 10×4 + 6×30 + 6×4.
To learn more about multiplication, click here:
https://brainly.com/question/11527721
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On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?
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Answer:
Yes, the answer is 4 playlist
Step-by-step explanation:
12 and 40 need to be divided, and get an answer like this 3 not this 5.3. The Maximum, means most.
2 can you?
3 can you?
10 can you?
Hope this helps!
Have a nice rest of your day! :)
A baker was going to arrange 432 deserts into rows of 28 the baker divides 432 by 28 and gets a quotient of 15 with a remainder of 12 explain what the quotient and remainder represent
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a linear equation inn two different unknowns x and y is called a system of equation true or false
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For example, a system of equations would be
y = 2x + 3
2y = x + 1
I would say true.
A pitcher contains 2/3 quart of water. If an equal amount of water is poured into 6 glasses how much water will each glass contain?
Answers
4 quarts
basically 2/3 x 6/1
6x2 which is 12
3x1 which is 3
12/3 is 4
4 quarts
Answer:
1/ 9 quart of water or 0.11 quart
Step-by-step explanation:
A pitcher contains= [tex]\frac{2}{3}[/tex] quarts of water
An equal amount of water is to be poured into 6 glasses
We have to find the amount of water in each glass
Hence, amount of water in each glass = [tex]\frac{amount of water }{number of glasses}[/tex]
Hence, amount of water in each glass = [tex]\frac{[tex]\frac{2}{3}[/tex] }{6}[/tex]
Amount of water in each glass = [tex]\frac{2 }{18}[/tex]
Amount of water in each glass = [tex]\frac{1 }{9}[/tex]
Hence, amount of water in each glass = 0.111 quart