Final answer:
To find the unit rate in miles per hour, divide the distance by the time. In this case, Jon travels at a unit rate of 2 miles per hour.
Explanation:
To find the unit rate in miles per hour, we need to convert the given information into the same units. Jon travels 1/2 mile in 1/4 hour, so we can simplify the fraction to 2/4, which is equal to 1/2. This means Jon travels 1/2 mile every 1/4 hour. To find the unit rate, we divide the distance (1/2 mile) by the time (1/4 hour).
1/2 mile ÷ 1/4 hour = 2 miles per hour
Therefore, the unit rate at which Jon travels is 2 miles per hour.
A horse is 45 pounds more than six times its rider's weight. If they weigh a total of 710 pounds, how much does the horse wiegh?
The horse weighs 615 pounds.
Explanation:Let's assume the rider's weight is x.
The horse's weight is 6 times the rider's weight plus 45 pounds: 6x + 45.
The total weight of the horse and rider is 710 pounds: 6x + 45 + x = 710.
Combining like terms: 7x + 45 = 710.
Subtract 45 from both sides: 7x = 665.
Divide both sides by 7: x = 95.
So, the rider weighs 95 pounds.
Substitute x = 95 back into the equation to find the horse's weight: 6(95) + 45 = 570 + 45 =
The horse weighs 615 pounds.
To solve this problem, we will set up an equation where [tex]\( h \)[/tex] represents the horse's weight and [tex]\( r \)[/tex] represents the rider's weight. According to the problem:
1. The horse's weight is 45 pounds more than six times the rider's weight, so we can express this as:
[tex]\[ h = 6r + 45 \][/tex]
2. The total weight of the horse and the rider is 710 pounds, so we have:
[tex]\[ h + r = 710 \][/tex]
Now we have a system of equations:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h + r = 710 \][/tex]
We can substitute the first equation into the second to solve for \( r \):
[tex]\[ (6r + 45) + r = 710 \][/tex]
[tex]\[ 7r + 45 = 710 \][/tex]
Now, we solve for[tex]\( r \)[/tex]:
[tex]\[ 7r = 710 - 45 \][/tex]
[tex]\[ 7r = 665 \][/tex]
[tex]\[ r = \frac{665}{7} \][/tex]
[tex]\[ r = 95 \][/tex]
Now that we have the rider's weight, we can find the horse's weight:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h = 6 \times 95 + 45 \][/tex]
[tex]\[ h = 570 + 45 \][/tex]
[tex]\[ h = 615 \][/tex]
use the working backword method to find the solution of the equation
4y-1=7
Round 646,592 to the nearest ten thousand
Write an integer for each situation identify its opposite and describes its meaning
Question: 5 strokes above par
The integer representation of '5 strokes above par' is '+5', while its opposite is '-5', representing '5 strokes under par'. The positive and negative signs indicate whether you are above or below the par in golf.
Explanation:In the context of golf, '5 strokes above par' means that it took five more strokes than the par to complete a hole or course. We can express '5 strokes above par' as the integer +5. In this context, the positive sign in front of 5 indicates you are above par, which means it took you more swings to finish.
Conversely, the opposite of +5 is -5. This would mean '5 strokes under par,' suggesting that it took five fewer strokes than the par to finish the hole or course. Note that in golf, being under par is generally better as it means you needed fewer swings to complete the course.
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352 divided by 4 please answer I'm literally bad at division
I need to learn how to do this
2x + 6 >-6
subtract 6 from both sides
2x > -12
divide both sides by 2
x > -6
solve a
a-20=b
a=
plzz help
3n-(2 + n) what value makes this expression equal to 6?
A.5 B.6 C.3 D.4
In a class, three students were running for president. Sara got 1/2 of the votes, Mike got 1/3 of the votes. What fraction of the votes did Imani get?
Susan claims: If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is she correct? Explain your answer fully.
The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would pick science as their favorite subject.
Subject Number Of Responses
Math 6
Science 3
English 4
History 7
You and your friend rent a canoe. The canoe costs 10 dollars per half hour plus 5 dollars per day for each life vest. Life vests are required for each passenger. Canoes can only be rented after 8 a.m and must be returned by 6 p.m. What is the greatest range value for this situation
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth
Answer: The diver's new depth is 11.8 feet below the water's surface.
Step-by-step explanation:
Since we have given that
Depth below the water's surface = 15 feet
The diver swims up slowly at 0.5 feet per second for 4 seconds.
Number of miles he swims up is given by
[tex]0.5\times 4\\\\=2\ feet[/tex]
Number of miles he swims up for 3 more seconds at 0.4 feet per second.
So, Number of miles he swims up is given by
[tex]0.4\times 3\\\\=1.2\ feet[/tex]
So, the diver's new depth would be
[tex]-15+2+1.2\\\\=-15+3.2\\\\=-11.8\ feet[/tex]
Hence, the diver's new depth is 11.8 feet below the water's surface.
A container holds 70,000 ounces of water. There is a small leak in the container. Every 96 minutes, 1.5 ounces of water leaks out. Represent the total change in the amount of water in the container after 4 hours
Gordon types 1800 words in 25 min how many words did he type per min
recall that two angles are complementary if the sum of their measure is 90 degrees find the measure of the two complementary angles if one of the angle is twice the other
1-3 write in simplest form.Does the first factor increase or decrease explain please
Find −115+(−35) Write your answer as a fraction in simplest form.
To find -115 + (-35), simply add the two numbers as if they were positive, then add a negative sign, resulting in -150. It can be written as a fraction in simplest form as -150/1.
Explanation:The operation in this question is addition. You are adding two negative numbers.
To add two negative numbers, simply add the numbers as though they were positive, then add a negative sign to the result. So, in this case, you would add 115 and 35 to get 150, then add a negative sign to your answer, resulting in -150.
This can be written as a fraction in simplest form as -150/1. It's also important to note that any number over 1 is simply the number itself, so -150/1 is essentially just -150.
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To solve the expression −115 + (−35), combine the numbers to get −150. The answer in simplest fractional form is −150/1.
Solving the Expression: −115+(−35)
To solve the expression −115 + (−35), follow these steps:
Understand that adding a negative number is the same as subtracting that number: −115 + (−35) = −115 − 35.Combine the numbers: −115 − 35 = −150.Write the answer as a fraction in simplest form. Since −150 is an integer, it can be represented as −150/1.The final answer is −150/1.
A school has 90 children. During the day each child attends 4 classes. Each class has 15 children and 1 teacher. During the day each teacher teaches 3 classes. What is the smallest number of teachers the school can have.
Mark is planning a trip to see his grandmother. He will travel for three days. He plans to travel 1,390 miles, and his car gets 25 miles to a gallon of gasoline. He plans to pay $1.99 per gallon of gasoline. How much money should mark budget for gasoline for his trip?
londynnorth londynnorth Middle School Mathematics 5+3 pts NEED HELP ASAP BRAINLEIST Solve and graph the absolute value inequality: |4x + 1| ≤ 5.
number line with closed dots on negative 1.5 and 1 with shading going in the opposite directions.
number line with open dots on negative 1.5 and 1 with shading in between.
number line with closed dots on negative 1 and 1 with shading in between.
number line with closed dots on negative 1.5 and 1 with shading in between.
number with closed dots on -1.5 and 1 with shading in between
there are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Find the number of red and orange Skittles in the bag.
Answer: there are 20 orange skittles and 10 red skittles in the bag.
Explanation:
Since we have given that
Let the number of red skittles be x
Let the number of orange skittles be 2x
According to question,
[tex]2x-x=10\\x=10[/tex]
So, there are 10 red skittles in the bag and
The number of orange skittles in the bag is given by
[tex]2x=2\times 10=20[/tex]
Hence, there are 20 orange skittles and 10 red skittles in the bag.
The number of red and orange Skittles in the bag are;
I. Red skittles, R = 10
II. Orange skittles, S = 20
Let the orange skittles be denoted by S.Let the red skittles be denoted by R.To find the number of red and orange Skittles in the bag;
Translating the word problem into a mathematical (algebraic) expression, we would have;
[tex]R = S - 10[/tex] ....equation 1.
[tex]S = 2R[/tex] ....equation 2.
Substituting eqn 2 into eqn 1, we have;
[tex]R = 2R - 10\\\\2R - R = 10[/tex]
Red skittles, R = 10
To find the number of orange skittles;
[tex]S = 2[/tex] × [tex]10[/tex]
Orange skittles, S = 20
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What is a line segment???
The most basic figure in geometry is called a point. For example, point A which can also represent as .A. If we have a point, we usually we usually label it with a capital letter. If we have two points such as points X and Y, we can introduce our next figure in geometry which is called a line segment. For example, segment XY. A line segment is defined as a figure that is composed of two points which are called the endpoints and all the points in between. Segment XY can be represented as XY with a segment drawn over it.
a circle has its center at (-2,3) and a radius of 5. What is the equation for the circle?
what is a rule for the function represented by (0,2/19) (1,1 2/19) (2,4 2/19) (3, 9 2/19) (4, 16 2/19) (5, 25 2/19)
Final answer:
The rule for the function with the given points is f(x) = x^2 + 2/19, as derived from observing the relationship between x-values and their corresponding y-values where the y-values increase by the square of the x-value with a constant fractional part of 2/19.
Explanation:
To find the rule for the function represented by the set of points given, we need to look for a pattern in the y-values relating to the x-values. The provided points are (0,2/19), (1,1 2/19), (2,4 2/19), (3, 9 2/19), (4, 16 2/19), and (5, 25 2/19). Observing the differences between the y-values, it appears that the fractional part remains constant at 2/19, whereas the whole number part increases by the square of the x-value. Therefore, we can express the function rule as f(x) = x2 + 2/19.
Let's verify this by substituting the x-values from the points into our proposed rule:
f(0) = 02 + 2/19 = 2/19f(1) = 12 + 2/19 = 1 2/19f(2) = 22 + 2/19 = 4 2/19f(3) = 32 + 2/19 = 9 2/19f(4) = 42 + 2/19 = 16 2/19f(5) = 52 + 2/19 = 25 2/19As we can see, the values match perfectly, confirming that the rule of the function is indeed f(x) = x2 + 2/19.
The product of six minus a number and five equals sixty when divided by 2. Which equation represents the sentence? A) 6(x - 5) 2 = 60 Eliminate B) 5(x - 6) 2 = 60 C) 6(5 - x) 2 = 60 D) 5(6 - x) 2 = 60
what is 4x+13=(-8)-3x
Jessie enjoys running everyday for excercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles and on Wednesday he ran 2.98 miles. On what day did Jessie run the farthest?
Jessie ran the farthest on Monday when he ran 3.30 miles.
Explanation:To determine on which day Jessie ran the farthest, we need to compare the distances he ran on each day. Let's list the distances:
Monday: 3.30 milesTuesday: 3.09 milesWednesday: 2.98 milesFrom the list, we can see that Jessie ran the farthest on Monday when he ran 3.30 miles.
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PLEASE HELP
Which is the graph of the linear function that is represented by the equation y=1/2x-2
Order from least to greatest: 6.24, 6.08, 6.009, 0.6