Answer:
Therefore, the depth of Challenger Deep to the nearest fathom is 6,466 fathoms, and it is greater than 7 miles.
Step-by-step explanation:
One fathom is equal to 6 feet. To convert 38,797 ft. to fathoms, we divide by 6:
38,797 ft. / 6 = 6,466.17 fathoms
Rounding this to the nearest fathom gives us 6,466 fathoms.
One mile is equal to 5,280 feet. Seven miles would be:
7 mi. x 5,280 ft/mi = 36,960 ft.
Since 38,797 ft. is greater than 36,960 ft., we can conclude that Challenger Deep's depth is greater than 7 miles.
Therefore, the depth of Challenger Deep to the nearest fathom is 6,466 fathoms, and it is greater than 7 miles.
3) What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
a. (x, y) --> (x-1, y-6)
b. (x, y) --> (x+1, y-3)
c. (x, y) --> (x+9, y+6)
d. (x, y) --> (x+1, y+6)
The (x, y) is translated tο (x-1, y-6).
What is dilatiοn?Resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.
The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.
the cοmpοsitiοn οf
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)
(x, y) --> (x-5, y-5)
(x+4-5, y-1-5) = (x-1, y-6)
Therefοre, the cοmpοsitiοn οf (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5) is (x, y) --> (x-1, y-6).
In οther wοrds, the translatiοn rule fοr the cοmpοsitiοn is:
Hence, The (x, y) is translated tο (x-1, y-6).
Learn more about dilation, by the following link
https://brainly.com/question/29811168
#SPJ1
Answer:
(x, y) --> (x-1, y-6)
Step-by-step explanation:
Let 0°
Given: tan a =2.4
Find: sin a and cos a
Answer:
sin α = 12/13;cos α = 5/13.-------------------------
Since angle α is between 0° and 90°, it is in the first quadrant and therefore all sin α, cos α and tan α are positive numbers.
Use the following identities:
tan α = sin α / cos α;sin² α + cos² α = 1.Given tan α = 2.4. Using identities, find cosine as follows:
sin α / cos α = 2.4sin α = 2.4 cos αcos² α = 1 - sin² αcos² α = 1 - (2.4 cos² α)²cos² α = 1 - 5.76 cos² αcos² α + 5.76 cos² α = 16.76 cos² α = 12.6 cos α = 1cos α = 1/2.6cos α = 10/26 cos α = 5/13Find sine:
sin² α = 1 - cos² αsin² α = 1 - (5/13)²sin² α = 1 - 25/169sin² α = 144/169sin α = 12/13Use the variable c to represent Chau's height.
[tex]\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right][/tex]
Step-by-step explanation & Answer
In order to find chau’s height we would only need to subtract:
40 - 24 = ?
? = 16
But it determines what you are putting it in as well.
You can put it in, feet, meters, or inches.
So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )
Thus the answer to your problem is, 16
Help with math problems
Answer:
70
Step-by-step explanation:
If a 2i j 8k and b i 3 j 4k
, then the magnitude of a b
Answer:
Step-by-step explanation:
To find the magnitude of the cross product of vectors a and b, we can use the formula:
|a x b| = |a| |b| sin(θ)
where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
First, let's calculate the cross product of vectors a and b:
a x b = (2i + j + 8k) x (i + 3j + 4k)
= (j)(4k) - (8k)(3j) - (i)(4k) - (j)(2i) + (8k)(i) - (2i)(i + 3j)
= -10i - 20j - 20k
Next, let's find the magnitudes of vectors a and b:
|a| = √(2^2 + 1^2 + 8^2) = √(69)
|b| = √(1^2 + 3^2 + 4^2) = √(26)
Finally, we need to find the angle θ between vectors a and b. We can use the dot product to find cos(θ):
a · b = (2i)(i) + (1j)(3j) + (8k)(4k) = 2 + 3 + 32 = 37
|a| |b| cos(θ) = a · b
cos(θ) = a · b / (|a| |b|)
cos(θ) = 37 / (√(69) √(26))
cos(θ) ≈ 0.893
Using the fact that sin^2(θ) + cos^2(θ) = 1, we can solve for sin(θ):
sin(θ) = √(1 - cos^2(θ))
sin(θ) ≈ 0.449
Substituting the values we found into the formula for the magnitude of the cross product, we get:
|a x b| = |a| |b| sin(θ)
|a x b| = √(69) √(26) (0.449)
|a x b| ≈ 26.81
Therefore, the magnitude of the cross product of vectors a and b is approximately 26.81.
What is the surface area?
9 in
9 in
9 in
square inches
Answer:
The surface area of an object is the total area of all its faces. For a cube with sides of length 9 inches, the surface area can be calculated as follows:
The cube has six faces, all of which are identical squares.
The area of one square face is 9 inches x 9 inches = 81 square inches.
Therefore, the total surface area of the cube is 6 x 81 square inches = 486 square inches.
So the surface area of a cube with sides of 9 inches is 486 square inches.
imhotep the architect wants to paint the great pyramid of giza
Imhotep can pain the pyramid in 256 different ways, and his assistant can make 64 different models of the pyramid, as explained below.
How to pain the pyramid:There are 4 sides to paint, and each side can be painted with one of 4 colors. So the total number of different ways Imhotep can paint the Great Pyramid is:
4 x 4 x 4 x 4 = 256
Therefore, Imhotep can paint the Great Pyramid in 256 different ways. However, as pointed out, many of these ways are just rotations of each other. Specifically, there are 4 different rotations for each way of painting the pyramid. Therefore, the number of distinct models can be seen below:
256 / 4 = 64
Therefore, Imhotep's assistant only needs to make 64 different models.
The complete question is the following:
Imhotep the architect wants to paint the Great Pyramid. He wants one red side, one blue side, one green side and one yellow side. How many different ways can he paint it?His assistant is tasked with making models to show the possibilities. He realises he can make far fewer models as they can be turned around. How many different models does he need to make?Learn more about pyramids here:
https://brainly.com/question/18994842
#SPJ1
A dolphin is 30 feet below the surface of the water. She rises 23 feet and then rises another 7 feet. If there are no changes, where is the dolphin now?
Answer:
1. Start with the dolphin’s initial position, which is -30 feet below the surface of the water. We can use a negative sign to indicate that the dolphin is below the surface.
2. Add 23 feet to the dolphin’s position to represent her first rise. This gives us -30 + 23 = -7 feet. The dolphin is now 7 feet below the surface of the water.
3. Add another 7 feet to the dolphin’s position to represent her second rise. This gives us -7 + 7 = 0 feet. The dolphin is now at the surface of the water.
Therefore, the answer is that the dolphin is now at the surface of the water.
Cindy is evaluating the expression -5m - 31 for
-2p + r
m = 1, n.= -4, p = -3, and r = -2. Her work is
shown below.
=5m - 31 =
-5(1) - 3(-4)
-2p + r
=2(-3) + (-2)
= 끌=-끔=-4
a. What error did Cindy make in her computation?
b. What is the correct answer?
The correct answer for the expression is -5(1) - 3(-4) = 7 and -2p + r = 4.
What is substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution technique. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
The given expression is: -5m - 3n for m = 1, n.= -4 and -2p + r for p = -3, and r = -2.
The correct steps are:
For, -5m - 3n substitute the value of m = 1 and n = -4:
-5(1) - 3(-4)
-5 + 12 = 7
For -2p + r:
-2(-3) + (-2)
6 - 2 = 4
Hence, the correct answer for the expression is -5(1) - 3(-4) = 7 and -2p + r = 4.
Learn more about substitution method here:
https://brainly.com/question/22340165
#SPJ1
One can also find the interest rate of the uneven cash flow stream with a financial calculator and solving for the internal rate of return (IRR) using the IRR key. Quantitative Problem: You own a security with the cash flows shown below. 0 1 2 3 4 0 690 365 220 330 If you require an annual return of 12%, what is the present value of this cash flow stream? Do not round intermediate calculations. Round your answer to the nearest cent. $
Answer:
To solve this problem, we need to find the present value of the cash flow stream using a discount rate of 12%. We can use the present value formula:
PV = CF1/(1+r)^1 + CF2/(1+r)^2 + CF3/(1+r)^3 + CF4/(1+r)^4
where PV is the present value, CF1, CF2, CF3, and CF4 are the cash flows at time 1, 2, 3, and 4 respectively, and r is the discount rate.
Substituting the values given in the problem, we get:
PV = 690/(1+0.12)^1 + 365/(1+0.12)^2 + 220/(1+0.12)^3 + 330/(1+0.12)^4
PV = 690/1.12 + 365/1.2544 + 220/1.4049 + 330/1.5735
PV = 616.07 + 290.76 + 156.51 + 209.38
PV = 1272.72
Therefore, the present value of the cash flow stream is $1,272.72.
Step-by-step explanation:
The sum of two numbers is 22. The difference of the two numbers is 0. What are the two numbers?
Answer:
11
Step-by-step explanation:
because 11+11=22 so there are no different with two 11s
what is the procedure, I need it for TODAY before 12pm
It is also important to communicate effectively with any individuals involved in the procedure to ensure that everyone is on the same page and working towards the same goal.
The procedure can refer to a variety of things depending on the context. If you are referring to a medical procedure, it is important to first consult with a healthcare professional to determine the specific procedure that is needed.
If you are referring to a legal or administrative procedure, it is important to review the guidelines and protocols set forth by the governing body or organization.
In general, the procedure typically involves a set of steps or instructions that must be followed in order to achieve a specific outcome. These steps may include gathering information, completing forms, submitting documents, or performing specific tasks.
It is important to carefully follow each step of the procedure to ensure that the desired outcome is achieved.
If you need a procedure completed by 12pm today, it is important to prioritize your tasks and ensure that you have all necessary resources and information available. Depending on the specific procedure, you may need to work quickly and efficiently in order to meet the deadline.
To learn more about : procedure
https://brainly.com/question/25907410
#SPJ11
At which points on the graph of the inverse of f(x)=1/(x^2+1) + (1-2x)^(1/3), x>=0 the tangents to f(x) and its inverse are perpendicular?
The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
[tex]y = f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\y - 1/(x^2+1) = (1-2x)^(1/3)\\(y - 1/(x^2+1))\\y^3 = 1-2x\\x = (1 - (y - 1/(x^2+1))^3)/2\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\[/tex]
[tex]f(x) = 1/(x^2+1) + (1-2x)^(1/3)\\f'(x) = -2x/(x^2+1)^2 - (1-2x)^(-2/3)/3\\g(y) = (1 - (y - 1/(x^2+1))^3)/2\\g'(y) = -3(y - 1/(x^2+1))^2/(2(x^2+1)^2)\\-2x/(x^2+1)^2 - (1-2x)^(-2/3)/3 * -3(y - 1/(x^2+1))\\x^2/(2(x^2+1)^2) = -1\\2x/(x^2+1)^2 = 1/((1-2x)^(2/3)(y - 1/(x^2+1))^2)\\4x^2 = (x^2+1)\\x^2 / ((1-2x)^(4/3)(y - 1/(x^2+1))^2)\\(x^2-2x+1)(x^2+2x+1)\\(y - 1/(x^2+1))^2 = 16x^2(1-2x)^(4/3)\\x = 0.3807 or x = 0.6677\\y = 1.9337 or y = 0.6129\\[/tex]
The two locations on the inverse function graph where the tangent lines to both functions are perpendicular are as a result: P(0.3807, 1.9337) and Q (0.6677, 0.6129).
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
if 24 x 18 and (x-1)are in proportion find the value of x
Answer:
Step-by-step explanation:
If 24, x and 18 are in proportion, then we have:
24 : x = x : 18
This can be rewritten as:
x^2 = 24 x 18
x^2 = 432
Taking the square root of both sides, we get:
x = ± 20.7846
However, we also know that (x - 1) is in proportion with 24 and 18. Therefore:
24 : (x - 1) = (x - 1) : 18
This can be rewritten as:
(x - 1)^2 = 24 x 18
(x - 1)^2 = 432
Taking the square root of both sides, we get:
x - 1 = ± 20.7846
Solving for x in each case, we get:
x = 21.7846 or x = -19.7846
However, we can see that the value x = -19.7846 does not make sense in the context of the problem (since we cannot have a negative value for the number of something). Therefore, we can reject it as an extraneous solution.
Hence, the value of x is:
x = 21.7846
Answer: 21.7846
PLEASE HELP FAST!
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a a number less than 4
Event B: The marble selected has an even number
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Answer:
Look explain
Step-by-step explanation:
Give the following outcomes for each of the events with a set of 1,2,3,4,5,6,7,8:
Event A: The number can be 1,2,3 because it has to be less than 4
Event B: The number can be 2,4,6,8 because those are the only even numbers
Both Event A&B: The marble must be even and between 1,2,3 so only 2 is correct and must be marble #2
I hope this helps :)
Julie printed out a picture of each of the six members of her favorite band to decorate her bedroom door. Each picture measures 5 inches by 7 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
On Julie's door, the images will span 210 square inches.
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
What is an inch?Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.
The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.
From the question:
Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.
One image's area is as follows:
5 inches x 7 inches = 35 square inches
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
Consequently, 210 square inches of Julie's door will be covered by the images.
To know more about inch visit:
https://brainly.com/question/16311877
#SPJ1
Mark bike 4⁄10 mile in 1⁄5 of an hour find mark's average speed in mph
The average speed in mph is 2 mph
What is Average Speed?Average Speed is the total distance that something has traveled by the total amount of time it took it to travel that distance. It is also the total distance traveled by the moving object and the amount of total time the object spent moving.
Average speed = Distance traveled/Time taken
Where Distance traveled = 4/10 mile
Time taken = 1/5 of an hour
To get the average speed in mph,
Average speed = (4/10)/(1`/5)
Average speed = 4/10 * 5/1
Average speed = 20/10
Average speed = 2 mph
Therefore, the average speed is 2mph
Read more about Average Speed
https://brainly.com/question/30853438
#SPJ1
Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
b + 12r
Answer:
Parts of the expression:
b: a variable representing a quantity that can vary or change.
12: a constant representing a fixed value.
r: a variable representing a quantity that can vary or change.
Word expression:
"Add twelve times the quantity of r to b."
Step-by-step explanation:
This question: 1 point(s) possible
The access code for a car's security system consists of four digits. The first digit cannot be 4 and the last digit must be odd. How many different codes are available?
The number of different codes available is
Answer: 4500
Step-by-step explanation:
1st 0, 1, 2, 3 ,5 ,6 ,7 ,8 ,9
2nd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9
3rd 0, 1, 2 ,3 ,4 ,5 ,6 ,7 ,8 , 9
4th 1, 3, 5, 7, 9
9 x 10x 10 x 5= 4500
13 The diagram shows a wall. 2.8 m The area of the wall is 39.2 m² Work out the length of the wall. N length 2.1 m Not drawn accurately [3 marks]
After answering the presented question, we can conclude that As a rectangle result, the wall's length is approximately 18.67 metres.
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It can also be described as a fundamental rule hexagon or one in which all of the angles are equal. Another option for the parallelogram is a straight angle. Four of the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
To begin, we can use the formula for the area of a rectangle, which is:
length x width Equals area
We know the wall's area is 39.2 m2, and we want to know how long it is. We are also given the wall's breadth, which is 2.1 m.
As a result, we can rearrange the formula to find the length:
width = Area length
length = 39.2 2.1 cm
a length of 18.67
As a result, the wall's length is approximately 18.67 metres.
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ9
←
A group of winning ticket holders share equally in a $90,000,000 lottery. Before
the money is divided, three more winning ticket holders are declared. As a
result, each person's share is reduced by $1,000,000. How many people were
in the original group of winners?
We take the positive root:
n = (-3 + 27) / 2 = 12. Therefore, there were 12 people in the original group of winners.
How to solve the equation?Let's assume that there were n people in the original group of winners, and each person's share was x dollars. Then we know that:
n * x = $90,000,000
After three more winners are declared, the total number of winners becomes n + 3. Each person's share is then reduced by $1,000,000, so the new share per person is (x - $1,000,000). We can then write:
(n + 3) * (x - $1,000,000) = $90,000,000
Expanding the equation, we get:
nx - $1,000,000n + 3x - $3,000,000 = $90,000,000
Simplifying, we get:
nx + 3x = $1,000,000n + $93,000,000
Factoring out x and n, we get:
x(n + 3) = $1,000,000(n + 3) + $90,000,000
Dividing both sides by (n + 3), we get:
x = $1,000,000 + ($90,000,000 / (n + 3))
We can substitute this expression for x in the first equation:
n * ($1,000,000 + ($90,000,000 / (n + 3))) = $90,000,000
Expanding and simplifying, we get:
[tex]$n^2$[/tex]+ 3n - 270 = 0
Using the quadratic formula, we get:
n = [tex](-3\± \sqrt{(729)) / 2[/tex]
n = (-3 ± 27) / 2
Since n has to be positive, we take the positive root:
n = (-3 + 27) / 2 = 12
Therefore, there were 12 people in the original group of winners.
To know more about Quadratic formula:
brainly.com/question/2615966
#SPJ1
A baker makes 8 apple pies. Each apple pie weighs 6 ounces.
How many total pounds of apple pies does the baker make?
Responses?
Answer:
6
Step-by-step explanation:
16 Ounces in a pound
6x8=48
48/8=6
Answer:
3 pounds
Step-by-step explanation:
total pie = 8
weight of 1 pie = 6 ounces
weight of 8 pie = 6 ounces × 8
= 48 ounces
ounce into pound
1 ounce =0.0625 (divide ounces by 16)
48 ounces ÷ 16
=3 pounds
the baker made 3 pounds od apple pie
Find the probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour.
The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is given as follows:
0.0006 = 0.06%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 4.2, \sigma = 0.8, n = 42, s = \frac{0.8}{\sqrt{42}} = 0.1234[/tex]
The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is equivalent to the probability of a sample mean between 193.2/42 = 4.6 and 201.6/42 = 4.8.
The probability is the p-value of Z when X = 4.8 subtracted by the p-value of Z when X = 4.6, hence:
Z = (4.8 - 4.2)/0.1234
Z = 4.86
Z = 4.86 has a p-value of 1.
Z = (4.6 - 4.2)/0.1234
Z = 3.24
Z = 3.24 has a p-value of 0.9994.
Hence:
1 - 0.9994 = 0.0006 = 0.06%.
Missing InformationThe missing section is given by the image presented at the end of the answer.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
If f left parenthesis x right parenthesis equals x minus 2 and g left parenthesis x right parenthesis equals 2 x minus 6, then g left parenthesis 4 right parenthesis divided by f left parenthesis 3 right parenthesis = __________.
a.)
2
b.)
1
c.)
3
d.)
0
The value g left parenthesis 4 right parenthesis divided by f left parenthesis 3 right parenthesis is 2.
What is parenthesis?
Parenthesis, also known as round brackets, are a type of punctuation used in writing to enclose additional information within a sentence that is not essential to the meaning of the sentence, but can provide clarification, emphasis, or further explanation. They are usually shown as two curved lines facing each other, like this: ().
For example, consider the sentence: "The concert, which was held at the arena last night, was sold out (as expected)." The words "as expected" are enclosed in parentheses, indicating that they are not necessary to the main meaning of the sentence, but provide additional information that may be of interest to the reader.
Parentheses can also be used to enclose mathematical equations, citations, or references in writing.
In this problem, we first need to substitute the given values of x in the functions f(x) and g(x).
f(x) = x - 2
f(3) = 3 - 2 = 1
g(x) = 2x - 6
g(4) = 2(4) - 6 = 2
So, [tex] \frac{g(4)}{f(3)} = \frac{2}{1} = 2[/tex]
Therefore,the value of g(4)/f(3) is 2.
Learn more about parenthesis here,
https://brainly.com/question/29121519
Given: trap. SPQR with SP || QR ; MN is the median of the trap. m
Answer: Without additional information about the trap, it is not possible to determine the value of m or any other measurements of the shape. Could you please provide more information or context for the problem?
A photo is being resized to sell at a gallery. The original photos 4 inches by 6 inches. Using the dimensions of 2.5 in. by 3.75 in., find the
scale factor.
Answer:basically if 23x45 is 35 then u times that to 15 and theres ur asnwer
23x45=35
A used car costs $3450 at present. This is 60% of the cost 4 yr ago. What was the cost of the car 4 yr ago?
Using arithmetic operation it is obtained that the cost of the car 4 years ago was $5750.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Let C be the cost of the car 4 years ago.
According to the problem, the current cost of the car is 60% of the cost 4 years ago, so we can write -
3450 = 0.6C
Use the arithmetic operation of division -
To solve for C, we can divide both sides of the equation by 0.6 -
C = 3450/0.6
C = 5750
Therefore, the cost of the car 4 years ago was $5750.
To learn more about arithmetic operation from the given link
https://brainly.com/question/20628271
#SPJ1
5x[tex]11ab^{2}(2a^5b^4)[/tex]
Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .
what is expression ?A mathematical expression seems to be a combination of digits, symbols, and operators (like +, -,, and ) that denotes a relation or quantity. A single figure or variable can constitute an expression, as can a collection of several numbers, constants, and operators. It is possible to depict mathematical connections, functions, and processes using expressions. There are various categories into which expressions can be divided, including numerical, algebraic, polynomial, rational, and exponential expressions. These can be assessed by carrying out the relevant operations in the mathematical operation order, i.e., parentheses operations first, multiplication or division second, addition or subtraction third.
given
[tex]5x11ab^2(2a^5b^4)[/tex]
We may multiply 5x11 using the distributive property, and then multiply the variables using exponentiation rules to simplify the formula
[tex]5x11ab^2(2a^5b^4):[/tex]
[tex]55ab^2(2a^5b^4)[/tex] is equal to [tex]5x11ab^2(2a^5b^4)[/tex]
= [tex]110a^(1+5)b^(2+4)[/tex] (using the product rule of exponents)
= [tex]110a^6b^6[/tex]
Hence,[tex]110a^6b^6[/tex] is the simplified expression as by multiplying 5x11 using the distributive property .
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
A sum of money is shared such that Mark gets twice as much as Sofia and Tina gets ½ of Sofia's share. Express these amounts in the form of a proportion. If Tina receives $1 200, how much do Mark and Sofia each receive?
Answer:
Step-by-step explanation:
Answer:
Mark gets $4800
Sofia gets $2400
Step-by-step explanation:
Let M, S and T represent the amounts that Mark, Sofia and Tina get respectively
We have the following
M = 2S
S = M/2
T = S/2 = M/2 ÷ 2 = M/4
Therefore the ratio of M : S; T can be expressed in terms of M as
M : M/2 : M/4
Multiplying throughout by 4 gives
4M : 2M : M
Removing the common M the proportion is
4 : 2 : 1
If T = 1200 then from T = S/2, s = 2T = 2 x 1200 = 2400
Since M = 2S, M = 2 x 2400 = 4800
So
Mark gets $4800
Sofia gets $2400
The ratio of the amounts obtained
4800: 2400: 1200
Dividing by 1200 gives us
4800/1200: 2400/1200: 1200/1200
= 4 : 2 : 1
i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddd help
Answer:
divide the numbers and you'll get 1×10^5