Alan drove 756 miles in 12 hours. at the same rate, how many miles would he drive in 8 hours?
Alan would drive 504 miles in 8 hours.
Explanation:To find out how many miles Alan would drive in 8 hours, we can set up a proportion using the information given. Since Alan drove 756 miles in 12 hours, we can write the proportion as:
12 hours / 756 miles = 8 hours / x miles.
To solve for x, we can cross-multiply and then divide:
12 * x = 8 * 756
x = (8 * 756) / 12
x = 504
Therefore, Alan would drive 504 miles in 8 hours.
Learn more about Miles driven in a given time here:https://brainly.com/question/4676946
#SPJ2
Write an equation for the line through p that is parallel to l and perpendicular to l
Need help! Please. It could be a integer or a decimal
Which of the following statements best describes the relationship between a line and a point in a plane?
Marianna buys a snack combo for $2.50 if the sales tax rate is 8% what is the total price of the combo including tax
To find the total price of an item including sales tax, convert the tax rate to a decimal and multiply by the item's cost. The total cost for a $2.50 snack combo with an 8% tax is $2.70.
The question involves calculating the total price of an item including sales tax. To find the total cost including tax, we need to first figure out the amount of sales tax by converting the tax rate from a percent to a decimal. Then, we will multiply this decimal by the initial cost of the item to get the tax amount.
Here's a step-by-step explanation using the provided example:
Convert the sales tax rate from a percent to a decimal: 8% as a decimal is 0.08.Multiply the decimal tax rate by the cost of the item: 0.08 \\times $2.50 = $0.20.Add the tax to the initial cost to get the total price: $2.50 + $0.20 = $2.70.Therefore, the total price of the snack combo including an 8% sales tax is $2.70.
The real number -16 belongs to which sets of numbers?
-16 is an integer and rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means natural numbers are not irrational.
The counting numbers or natural numbers are like 1,2,3,4,5,6, etc
Note that whole numbers include counting numbers, but with 0, so 0,1,2,3,4, 5, etc
Also rational numbers are numbers that can be written in form a/b where a and b are integers and b≠0
so -16 is an integer and rational number
Learn more about numbers here;
https://brainly.com/question/3151755
#SPJ2
What can you infer about elements that are in the same group?
a. they will have the same atomic mass
b. they will display similar chemical and physical properties
c. they will contain the same number of protons
d. they will emit x rays of similar frequency
Answer:
b.They will display similar chemical and physical properties.
Step-by-step explanation:
We have to find about the elements that are in the same group.
In modern periodic table
Elements are arranged in group according to similar properties.
The elements which have same properties are placed in the same group and mass of different elements are different in the group.
The outer electronic configuration of every element in the same group are same.
Therefore, the physical and chemical properties of the elements are same in the group.
Hence, option B is true.
Answer:b.They will display similar chemical and physical properties.
if a 40-foot tree casts a 12-foot shadow,find the length of a shadow cast by a 23-foot tree
The length of the shadow cast by the 23 feet tree is 6.9 feet
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the height of the tree A = 40 feet
The height of the shadow of the tree A = 12 feet
Now ,
The height of the tree B = 23 feet
Let the height of the shadow of the tree B = x
So , the proportion equation is
height of the shadow of the tree A / height of the tree A = height of the shadow of the tree B / height of the tree B
And the proportion will be ,
12 / 40 = x / 23
Multiply by 23 on both sides , we get
x = ( 12 × 23 ) / 40
x = ( 3 × 23 ) / 10
x = 69 / 10
x = 6.9 feet
Therefore , the value of x is 6.9 feet
Hence , The length of the shadow cast by the 23 feet tree is 6.9 feet
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
confused how do i create this?
Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by $2 from that of each adjacent book. The price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. Give an expression for the cost of the $n$th book in terms of $n$
Mr. rancher wants to build a pen for his horse. he wants the pen to be 40 yards long and 50 yards wide. if the fencing comes in 5 foot pieces, how many pieces does mr. rancher need to buy?
There are 36 pieces need to buy by Mr. rancher.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The length of pen for his horse = 40 yards
The width of pen for his horse = 50 yards
And, The fencing comes in 5 foot pieces,
Now,
The perimeter of the pen for his horse = 2 (50 + 40)
= 2 x 90
= 180 yards
Since, The fencing comes in 5 foot pieces,
Hence, Number of pieces to buy by Mr. rancher = 180 / 5
= 36
Thus, There are 36 pieces need to buy by Mr. rancher.
Learn more about the division method visit:
https://brainly.com/question/917110
#SPJ5
The formula for the area of a triangle is a = 1 2 bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 192 mm2 and the height is 16 mm, what is the measure of the base?
Kim estimates that the faucet in her kitchen drips at a rate of 1 drop every 2 seconds. Erik wants to know how many times the faucet drios in a week
If a polygon has eight sides then it is an octagon. True or False
Jeff Simmons sold 27 cars last month.This 36 fewer cars than he sold during the same time period one year ago
There are entrees available at a restaurant. from these, archie is to choose for his party. how many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?
juan drives to work. Due to traffic, he averages 22 miles per hour. He returns home averaging 32 per hour. The total time is 22.5 hours. Write and solve an equation to find the time juan spends driving to work.
Students received these scores: 70, 75, 80, 90, 95, 95, and 100. the score of 95 is what?
2 times as many as 8 is 16
Answer:
or 16 is the result of doubling 8
Step-by-step explanation:
Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle
B) line segment
C) parallel lines
D) perpendicular lines
Answer:
1. Angle
2. Line Segment
Step-by-step explanation:
Two lines or rays diverging from a common point defines an 'angle', which is a figure forming from two rays starting from the same end-point.
Now, a figure bounded by two distinct end points which contain every point on the line between its end points defines a 'line segment'.
Hence, the answer are: Angle and Line Segment respectively.
When the blue trapezoid is translated to the green one, the new coordinates of the point (0, 0) will be
A) (-6, -2).
B) (-2, -8).
C) (-8, -6).
D) (-6, -8).
Answer: The correct option is (D) (-6, -8).
Step-by-step explanation: we are given to find the new co-ordinates of the point (0, 0) when blue trapezoid is translated to the green one in the figure.
As shown in the given figure, to translate blue trapezoid to green one,
the x-coordinate of each vertex of blue trapezoid is decreased by 6 units,
and
the y-coordinate of each vertex of blue trapezoid is decreased by 8 units.
So, the new co-ordinates of the point (0 0) becomes
(0, 0) ⇒ (0-6, 0-8) = (-6, -8).
Therefore, the new co-ordinates of the point (0 0) are (-6, -8).
Thus, (D) is the correct option.
I need math help. Look at the attachment. No multiple choice.
there are 4 quarters per year
if annual rate = 8%
quarterly rate would be 8%/4 = 2%
so the (1+r) beomes (1+0.02) = 1.02
Kaitlin drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles?
Prove that a triangle with sides n^2 1, n^2 - 1 and 2n (for n > 1) is a right triangle
You are going to order some of your favorite cookies. If you order two boxes it will cost you $14. If you place an order for eight boxes it will cost you $26. Write an equation that represents the cost of ordering your favorite cookies.
Step 1: Decide what information represents your two points.
Hint: The points are in the format (number of boxes of cookies, cost) as these are your two variables.
Point 1: Point 2:
Step 2: Use your two points to write an equation.
The clean up hitter on a baseball tean batted 1/3 of the runs the team scored. The hitter batted in 3 runs. Select the equation that represents the number of n of runs the team scored. Then solve the equation:
A.1/3n=3
B.n/3=1/3
C.3n=1/3
D.3n=9
Give an example of an open equation
What is the answer for 7-2n=n-14
Which property is illustrated by the following equation?
- 10 + 8 = 8 + ( - 10 )
The sum of two numbers is 154. if four timesfour times the smaller number is subtracted from the larger number, the result is 14. find the two numbers.