For
5(x − 4)2,
the order of operations requires that we multiply
(x − 4)(x − 4)
before multiplying by the numerical coefficient 5. Use the order of operations in this exercise. (Simplify your answer completely.)
2(x + 3)2
how do solve the problem 8n-(5n+6)=12
Estimate 63 squared to the nearest tenth
1/7 x 2/3 in simplest form
To solve 1/7 x 2/3, you multiply the numerators together and the denominators to get 2/21. However, you can simplify the fraction to get your final answer, which is 1/10.
Explanation:In mathematics, when you are multiplying fractions, you multiply the numerators together and the denominators together. So, in the case of the problem 1/7 x 2/3, you would multiply 1 (the numerator of the first fraction) by 2 (the numerator of the second fraction), and 7 (the denominator of the first fraction) by 3 (the denominator of the second fraction).
This results in 2/21. However, both 2 and 21 are divisible by 2, so we simplify this fraction to get the answer 1/10.
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Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?Assessment timer and count Assessment items Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?
Answer:
Time passes until the second bus catches up with the first bus = 2 hours
Step-by-step explanation:
One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour.
Speed of Bus 1 = 40 miles per hour
Time of leaving of Bus 1 = 4:00 p.m
The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
Speed of Bus 2= 60 miles per hour
Time of leaving of Bus 2 = 5:00 p.m
We need to find when they catch up
That is the distance traveled by them are same,
Let the time of travel for bus 1 be t, so time of travel for bus 2 is t -1
We have
Distance = time x Speed
Distance traveled buy bus 1 = Distance traveled buy bus 2
40 x t = 60 x (t -1 )
40 t = 60 t - 60
20t = 60
t = 3 hours,
So after 3 hours of starting of bus 1 they catch up,
Time passes until the second bus catches up with the first bus = t- 1 = 2 hours
Time passes until the second bus catches up with the first bus = 2 hours
The second bus takes 2 hours to catch up with the first bus after closing a gap of 40 miles at a relative speed of 20 miles per hour.
Calculating the Time for the Second Bus to Catch Up
To determine how much time passes until the second bus catches up with the first bus, we need to calculate the distance that the first bus travels before the second starts and then use the relative speeds of the buses to find out when the second bus will have covered the same distance.
The first bus travels for one hour before the second starts, covering a distance of:
Distance = speed x time = 40 miles/hour x 1 hour = 40 miles.
When the second bus starts, it closes the gap at a relative speed, which is the difference in their speeds:
Relative speed = 60 miles/hour - 40 miles/hour = 20 miles/hour.
To find out how long the second bus takes to catch up, we use the formula:
Time = Distance / Relative speed = 40 miles / 20 miles/hour = 2 hours.
So, it will take the second bus 2 hours to catch up with the first bus.
A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4 kilometers per hour. The cheetah travels a total of 21.5 meters. What is the total change in the cheetah's speed during this time?
it's speed reduces -3.4 km/h per meter
multiply distance traveled by reduction:
-3.4 x 21.5 = -73.1
The answer is -73.1
Answer: its -73.1 I legit did the quiz for 3.15
the root x = 1 has multiplicity 3 for the function
f(x)=x^3-x^2-x+1
true or false
Answer:
The answer is false for apex.
If the value of y varies directly with the value of x. If the value of y is 20 when x is 1/2, what is the value of y when did 4 1/2?
Answer:
What is the value of y when the value of x is 1?
Step-by-step explanation:
60!
write the base-ten number for forty-two
The base-ten number for 'forty-two' is written simply as '42'. This is derived from the base-ten system (or the decimal system), where each digit represents a certain amount of tens.
Explanation:The base-ten number for forty-two is simply written as 42. The base-ten system, also known as the decimal system, is called so because it uses 10 as its base. Each digit in a base-ten number represents a certain amount of tens. For example, the number 42 consists of 4 tens and 2 ones. This is derived from our counting system being based on increases of ten; each place in our numbering system is ten times greater than the place to the right of it. This originated from human beings having ten fingers which were used in counting.
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You have 120 pieces of fabric to make a blanket. Each piece of fabric is the square with a side length of 6 inches. You use as many pieces of fabric is possible to create a square blanket. What is the area of the blanket
Answer:
Step-by-step explanation:
Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.
what are 3 solutions to -4x+3y=-6
A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.
Hello!!
This is the correct answer.
Probability (Blue Marble) = 20%
Probability (Green Marble) = 50%
Probability (Red Marble) = ?
20% - 50% = 30%
The probability of picking a red marble from the bag is 30%.
Likely is defined as 50% so in this case, the probability of picking a red marble is not likely.
Hope this helps!!!!
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M+45=32 solve the equation
9 out of 20 students will attend the Worldwide Day of Play at RMS what percentage of students will not attend
At midnight the temperature was –3°F. By 5:00 a.m. the temperature had fallen by 12°F. What was the temperature at 5:00 a.m.? A. –15°F B. –9°F C. 9°F D. 15°F
Which number is not in scientific notation ? Which is correct
1.10•10^3
4.0•10^16
7.03•10^-2
350•10^2
A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each. There are 20 questions on the test. Use the graphing method to determine how many questions there are of each type.
A) 3 essay and 17 multiple choice
B) 5 essay and 15 multiple choice
C) 6 essay and 14 multiple choice
D) 10 essay and 10 multiple choice
Multiply 7 times 462 using place value and expanded form
What is 2,117 divided by 3
Make a 10 or 100 to subtract mentally 76-59 =
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill and 12 mph when going downhill. If her total time riding was 2 hours, how far is it to Jon's house?
x = level ground
y = hills
x/6 +y/4 +y/12 + x/6 = 2 hours
multiply everything by 12 to get rid of the denominators:
equation becomes 2x +3y +y +2x = 24
combine like terms:
4x +4y = 24
divide everything by 4
f +h = 6 miles to Jon's house
Jon's house is 6 miles further away from Marlene's house.
Given that:
Speed on level ground is 6 mph
Speed on uphills is 4 mph
Speed on downhills is 12 mph
Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.
Since time taken = distance/speed , thus we have:
[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]
Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.
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Explain the importance of correctly placing the decimal point in the quotient of a division problem. IF YOU HAVE TIME PLEASE HELP ME IN THOSE OTHER 2 MORE QUESTIONS. Thanks
The value of reminder will change when we place the decimal value improperly
importance of correctly placing the decimal point in the quotient of a division problem
What is Number system?Representation of numbers by using digits or other symbols in a consistent manner is called Number system.
When we place the decimal point in quotient improperly, the value of quotient will change, as the value of quotient changes the remainder will change and we will get the inappropriate answer of division. To ignore this we should place the decimal value properly to get the approximate answer
The value of reminder will change when we place the decimal value improperly . Therefore placing the decimal point in the quotient of a division problem is important,
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Lisa has a rope that measures 9 1 4 feet in length. She will cut the rope into pieces that are each 3 4 foot long. How many full pieces can Lisa cut from her rope, and how much of her rope will be remaining?
Answer:
B)
Step-by-step explanation:
Hope this helped!
The number of pieces can Lisa cut from the rope is 12 and the rope will be 0.33 (or 1/3) feet remaining.
What is the division operation?/ Division operation: In the arithmetic, Divides left-hand operand by right-hand operand.
For example 44/4 = 11
Given that Lisa has a rope that measures 9 1/4 feet in length.
And she will cut the rope into pieces that are each 3/4 foot long.
We have to determine the number of full pieces can Lisa cut from her rope.
The length of the rope:
⇒ 9 1/4 = 9.25
The length of the pieces that are each foot:
⇒ 3/4 = 0.75
The number of pieces can Lisa cut from the rope
⇒ 9.25 / 0.75 = 12.33
She has need full pieces so the number of pieces would be 12.
Therefore, the rope will be 0.33 (or 1/3) feet remaining.
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Solve for x. 5x−2(x+1)=14
please help now !!
Which ordered pair is a solution of the equation y= -5/4 -2
Answer:
-3 1/4Step-by-step explanation:
We have been given an equation in which y equals something. Whenever that is the case, it means that if we solve the other side, this case -5/4 - 2, we have solved for y.
-5/4 - 2 = -3 1/4 so.... y = -3 1/4
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HELP ASSSAP WITH THIS QUESTION
A pizza restaurant charges $16 per pizza and a $4 flat fee for a delivery charge. If his total comes to $132, he ordered how many pizzas?
james bought a cheeseburger, fries, and a drink for dinner. the cheeseburger was three times the price of the fries and the drink and the fries were the same price. if the entire meal was 12.50, what was the price of each item
The price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.
Explanation:Let's say the price of the fries is x. According to the given information, the cheeseburger is three times the price of the fries and the drink, and the fries and the drink have the same price.
So, the price of the cheeseburger would be 3x, and the price of the fries and the drink would be x.
Given that the entire meal costs $12.50, we can set up the following equation: x + x + 3x = 12.50.
Simplifying the equation yields 5x = 12.50. Dividing both sides by 5, we find that x = 2.50.
Therefore, the price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.
A music store sold 10 to the third CDs and ten to the second CDs players if each CD costs $12 and each CD player costs $35, what was the stores total earnings
A rectangular garden is 8 ft wide and 15 ft long. A diagonal path cuts through the garden. How long is the path?
3
7
13
17