Jon travels 1/2 mile in 1/4 hour. Find the unit rate in miles per hour.
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.
Frank is building a table. He needs 4 pieces of wood for the table legs. Each piece of wood needs to be 7/8 of a foot long. What is the total amount of wood he needs for the legs?
A. 3 1/2 feet
B. 3 2/5 feet
C. 4 4/7 feet
D. 4 7/8 feet
Final answer:
The correct option is (A) 3 1/2 feet. To find the total amount of wood Frank needs for the table legs, multiply the length of one leg (7/8 foot) by 4, the number of legs, resulting in 3 1/2 feet of wood in total.
Explanation:
Frank needs four pieces of wood, each 7/8 of a foot long for the table legs. To find the total amount of wood required, we multiply the length of one piece by the number of pieces:
Multiply the length of one leg, 7/8 foot, by the number of legs, which is 4.
(7/8) foot x 4 = (7/8) x 4/1 = 28/8 = 3.5 feet
Therefore, Frank needs 3 1/2 feet of wood in total for the table legs.
The soccer field at Mario's school has a area of 6,000 square miles.How can Mario show the area as a whole number multiplied by a power of ten
While trying to explain a physics concept, a student said, "Stuff keeps doing what it's doing unless something messes with it." What law was the student summarizing? Explain your answer.
Your answer
When a soccer player kicks a ball, the ball accelerates. Explain what causes this acceleration in terms of forces.
Your answer
Describe three examples from sports in which a force changes the velocity of an object or a person.
Your answer
Explain which has greater inertia; a speeding car or a jet airplane sitting on the runway.
Your answer
Do forces always cause motion, explain?
Your answer
Answer:
Step-by-step explanation:
1. Newton's first law of motion: Also called the law of inertia, states that "An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force"
2. According to Newton's second law "the force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a)", meaning that when the soccer player kicks a ball, a force is acting on the ball, therefore increasing it's acceleration. After the force is applied, the gravity and the resistance of air will be the ones in charge of stopping the ball.
3. a) Baseball: The ball changes direction and speed when it's hit with the bat.
b) Bowling: When the ball hits the pins, the change from being at rest to a higher velocity.
c) Wrestling: The wrestler exerts a force on the oponent increasing or decreasing it's velocity.
4. The jet airplane has more inertia. Inertia is the resistance of an object to move if at rest, or to change its velocity and it is proportional to the mass of the object. Therefore, the jet airplane being heavier than the car will have more inertia. It has to be clear that it is not due to the fact that is at rest that is the one with more inertia, but mostly related to the mass. If the example was with two cars, one at constant velocity and the other at rest, both with the same mass, the one with greater inertia will be the one moving.
5. No, forces do not always cause motion. They have to be greater than the forces that oppose movement, such as friction, air resistance or gravity.
is the decimal 13/3 a rational number? explain
What is the correct solution to this problem? A number divided by 3 is four more than –11. What is the number?
A-45
B-21
C-7/3
D45
How do you work out 49.2 x 10.3
To work out 49.2 x 10.3, you multiply the two numbers together.
Explanation:To work out 49.2 x 10.3, you multiply the two numbers together.
Step 1: Multiply the whole numbers: 49 x 10 = 490
Step 2: Multiply the decimals: 0.2 x 0.3 = 0.06
Step 3: Add the results from step 1 and step 2: 490 + 0.06 = 490.06
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0.39/0.75 as a decimal
The maximum weight for a truck on the New York State Thruway is 40 tons.How many pounds is not this
what is 1/2(6x+4)=x+2(x+1)
multiple of pi plis xxx
Write two expressions where the solution is 4
16 divided by 4 = 4
7 + 3 - 6 = 4
or
40 divided by 5 - 4 = 4
Answer:
[tex]2+2=4[/tex]
[tex]\frac{8}{2}=4[/tex]
Step-by-step explanation:
We are asked to write two expressions where the solution is 4.
We can write infinitely many solutions whose solution is 4. Some of the expressions are as follows:
[tex]3+1=4[/tex]
[tex]2+2=4[/tex]
[tex]\frac{8}{2}=4[/tex]
[tex]\frac{16}{4}=4[/tex]
[tex]8-4=4[/tex]
[tex]6-2=4[/tex]
[tex]2\cdot 2=4[/tex]
Therefore, all of these expressions satisfy the given condition.
math question down below
If three people share seven cookies equally. How many cookies do each friend get in fractions?
Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls?
A carpet costs $15 per square foot. If the area you want to carpet is 19.7 square meters, how much will it cost to buy the carpet?
Solve the equation, justify each step with an algebraic property
-7=-1+ x/3
The solution to the equation -7=-1+ x/3 is obtained by adding 1 to both sides, then multiplying both sides by 3 to solve for x. This yields x = -18.
Explanation:To solve the equation -7=-1+ x/3, we can first isolate the x term using the addition and multiplication properties of equality.
First, add 1 to both sides to cancel out -1 from the right side of the equation. This gives us -6= x/3. Then, multiply both sides by 3 to solve for x. This gives us -18=x.
Hence, the solution to the equation -7=-1+ x/3 is x=-18.
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what is m equal to if 7m+12/8=2m-1/3
Five times the sum of some number plus 3 is equal to 7 times the number minus 1.
Solve 14n+q=rt-4n for n
The solution for n is [tex]\( n = \frac{{q - rt}}{{10}} \)[/tex].
To solve for n in the equation -14n + q = rt - 4n, we need to isolate n on one side of the equation.
First, let's gather all terms involving n on one side. Adding 4n to both sides of the equation, we get:
-14n + 4n + q = rt
Simplifying the left side, we have:
-14 + 4)n + q = rt
-10n + q = rt
Next, let's isolate n by moving the term q to the other side. Subtracting q from both sides, we have:
-10n = rt - q
Finally, to solve for n, divide both sides by -10:
[tex]\[ n = \frac{{rt - q}}{{-10}} \][/tex]
So, the solution for n is [tex]n = \frac{{q - rt}}{{10}} \)[/tex].
Nancy bought an extra-large bag of 1,500 beads to make necklaces. When she got home, she found another bag with 660 beads in it. If she uses all of the beads and uses 60 beads per necklace, how many necklaces can she make?
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
There are 12 number of multiple-choice questions are on the test.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between.
Given that m, and the number of free-response questions, f, on the test.
m + f = 15.
Then multiply by -5
3m + 5f = 51
-----------------
-5m - 5f = - 75
3m + 5f = 51
Now add
-2m = - 24
m = -24/-2
m = 12
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Does the Commutative Property of Addition apply when you add two negative integer?
Hemal wanted to make dessert for her family. The recipe made 8 servings, but she only wanted to make enough for 5 people. If the recipe for 8 servings called for 2 cups of flour, how much flour would she need for 5 servings?
Aurelia has 4 hats one green one yellow one blue and one purple she has 3 pretty bow ties for them one with stripes one with polka dots and one with checks if she must use one bow per hat how many different hats can she possibly make assuming she can any bow on any hat and change them whenever she chooses
insert parentheses in the expression 4-5+2-6-11=6
A relay race is 1/10 kilometer long. Four athletes will run an equal distance to complete the relay. How far does each athlete run ?
Answer:
25 meters.
Step-by-step explanation:
Let us suppose each athlete run x km.
Hence, four athlete will run 4x km.
Now, the distance of the relay race is 1/10 km
Thus, we have
[tex]4x=\frac{1}{10}[/tex]
Divide both sides by 4
[tex]x=\frac{1}{40}km[/tex]
Now, 1 km = 1000 meters. Thus, we have
[tex]x=\frac{1}{40}\times1000\\\\x=25[/tex]
Thus, each athlete run 25 meters.
2/3a = 4/9 in fraction
what is 9 + 6 + (-6)
The day this lesson was written, the world population was 6,672,678,672. The population of the United States was 304,276,585. What is the population on the day you read this? Put “world population clock” into your search engine and see for yourself.
PS: I've already done it, the population as of 13 of September is 7,532,064,512
Write down the current date and the current world population. Use a calculator to figure out what percentage it has increased since the day this lesson was written. Use this formula:(current population - former population) / former population) x 100.
7,532,073,340 as of 9/13/17 at 7:18amest.
7532073340-6672678672=859394668/66726786720.12878*100 = 12.88%