Step-by-step explanation:
Mark is 18, as his 8th birthday was 10 years ago
Aunt Jess is 36 since Jess is twice as old as Mark
Julie is 28 because 36+18=54, and 54-26=28
Gwen is 30 since she's 2 years older than Julie
The twins are 8 (1/3 of 30 is 10, then do -2)
Answers:
1. 8
2. 10
3. Mark will be 23
4. Gwen was twice Julie's age when she was 4 (26 years ago)
(Gwen is 2 years older than Julie)
I hope this helps, Brainliest and Thanks would be very much appreciated
Answer: 1. 8 years old
2. 10 years
3. 23 years old
4. 26 years ago
Step-by-step explanation:
G=Gwen's age.
J=Julie's age.
A=Aunt Jess's age
U=Uncle Mark's age
T=twins' ages
1. G=J+2
A=U*2
J=A+U-26
T=G/3 - 2
U-10=8
U+10-10=8+10 ==> Add 10 on both sides to single out U.
U=18
A=U*2
A=18*2
A=36
J=A+U-26
J=36+18-26
J=54-26
J=28
G=J+2
G=28+2
G=30
T=G/3 - 2
T=30/3 - 2
T=10-2
T=8 ==> 8 years old
2. 8+x=18
8-8+x=18-8
x=10 years
3. U=18
18+5=23 years old
4. G=J+2
G=J*2
J*2=J+2
2J=J+2
J=2 ==> subtract J on both sides
G=2+2
G=4
30-4=26 years ago
express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
1.5·10⁸ kilometers
As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.
So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.
As a result, the solution is 1.5·10⁸
State the distance between The Earth and The Sun?
The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.
Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.
As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.
On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.
If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.
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A linear function is shown on the graph. a linear function beginning with closed circle at 1 comma 3 and ending with a closed circle at 8 comma 7 What is the domain of the function? {y | 3 ≤ y ≤ 7} {y | 3 < y < 7} {x | 1 ≤ x ≤ 8} {x | 1 < x < 8}
The domain of the function is {x | 1 ≤ x ≤ 8}
The x-coordinates form the domain.
We know the x-coordinates of the end points of the line, the first numbers in pair of coordinates:
x = 1 and x = 8
Also, since both points are closed circles, the endpoints are included.
So the domain is the interval between 1 and 8, both inclusive.
This is shown as:
{x | 1 ≤ x ≤ 8}
A domain name is a string that identifies a realm of administrative autonomy, authority or control within the web . Domain names are utilized in various networking contexts and for application-specific naming and addressing purposes. generally , a website name identifies a network domain or an Internet Protocol (IP) resource, like a personal computer used to access the Internet, or a server computer. Domain names are often wont to identify services provided through the Internet, like websites and email services. As of 2017, 330.6 million domain names had been registered.
Domain names are formed by the principles and procedures of the Domain Name System (DNS). Any name registered within the DNS is a domain name. Domain names are organized in subordinate levels (subdomains) of the DNS root domain, which is nameless.
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Answer:
The domain of the function is {x | 1 ≤ x ≤ 8}
The x-coordinates form the domain.
We know the x-coordinates of the end points of the line, the first numbers in pair of coordinates:
x = 1 and x = 8
Also, since both points are closed circles, the endpoints are included.
So the domain is the interval between 1 and 8, both inclusive.
This is shown as:
{x | 1 ≤ x ≤ 8}
A domain name is a string that identifies a realm of administrative autonomy, authority or control within the web . Domain names are utilized in various networking contexts and for application-specific naming and addressing purposes. generally , a website name identifies a network domain or an Internet Protocol (IP) resource, like a personal computer used to access the Internet, or a server computer. Domain names are often wont to identify services provided through the Internet, like websites and email services. As of 2017, 330.6 million domain names had been registered.
Domain names are formed by the principles and procedures of the Domain Name System (DNS). Any name registered within the DNS is a domain name. Domain names are organized in subordinate levels (subdomains) of the DNS root domain, which is nameless.
Step-by-step explanation:
Employees at company p sent 6.1 x 10^4 emails this year doing company business, compared to employees at company c, who sent 191,00 emails. find the difference in the numbers of emails sent by each company. answer in scientific notation without units. the coefficient may be exact or rounded to 2 decimal places.
The difference in the numbers of emails sent by each company is 4.19 × 10⁴.
The number of emails sent by company p = 6.1 × 10⁴
Converting scientific notation to real number
The number of emails sent by company p = 6.1 × 10000
Performing multiplication
The number of emails sent by company p = 61,000
The number of emails sent by company c = 191,00
Finding the difference using subtraction operation
Difference in number of mails = 61000 - 19100
Performing subtraction
Difference = 41,900
Converting the real number in scientific notation
Difference = 4.19 × 10⁴
Hence, the difference in the numbers of emails sent by each company is 4.19 × 10⁴.
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13. Using the information from the previous problem, calculate the amount of taxes Monica owes.
This is the problem above
Monica falls into the 10% bracket.
What is tax?
The tax refers to the money that a person is expected to pay to the government as part of your responsibilities as citizen of the country. The tax that is paid by the citizens is used in the provision of basic amenities for the people of a community.
Now, there are certain legal exemptions that apply to different people in different tax brackets. In this case, Monica has an income of $14000 with a deduction of $5700. This leaves her taxable income at $8300.
From the computation above, it then follows that Monica falls into the 10% bracket.
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Answer:
$465
Step-by-step explanation:
just multiply 4650 (the taxable income) and .10 (the tax bracket she falls into) which equals 465! i hope it helped ^_^
HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED
From the given graph, we have that:
The ordered pairs are given as follows: (-5,2), (-3,0), (0,-3), (3,-6), (5, -8).
The table is given by:
x = -5, g(x) = 2.x = -3, g(x) = 0.x = 0, g(x) = -3.x = 3, g(x) = -6.x = 5, g(x) = -8.In function notation, we have that:
g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.
How to get the ordered pairs from the graph of a function?To get the ordered pairs from the graph of a function, we have to:
Get the x-coordinate, that is, the value of the point on the horizontal axis.Get the y-coordinate, that is, the value of the point on the vertical axis.An ordered pair has the following notation: (x,y).
Hence, from the points on the graph, the ordered pairs are given as follows:
(-5,2), (-3,0), (0,-3), (3,-6), (5, -8).
How to write the ordered pairs in the table?To write the table from each ordered pair (x,y), we have that y = g(x), hence:
x = -5, g(x) = 2.x = -3, g(x) = 0.x = 0, g(x) = -3.x = 3, g(x) = -6.x = 5, g(x) = -8.How to write the function notation?We take the g(x) points from the table, replacing x by it's numeric value, hence:
g(-5) = 2, g(-3) = 0, g(0) = -3, g(3) = -6, g(5) = -8.
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Reena bought a jacket for £45. Six
months later, she sold it for £34.65.
What was her percentage loss?
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
How to carry out transformation reflection?
From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.
After reflection, across the x-axis, we see that it was translated down by 2 units.
The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
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13/8 x 11=
3/5 x 5/7=
2/5 x 5/6=
Answer:
Hope this helps :)
13/8 x 11 = 143/7 = 17 7/8 (simplified and converted into mixed number)
3/5 x 5/7 = 15/35 = 3/7 (simplified)
2/5 x 5/6 = 10/30 = 1/3 (simplified)
Bob solved the equation \large A=2x-xyz^2-w for y . Which variable is incorrect in his solution below?
Bob's solution: {A-2x}/{w-xz^2} =y
a
A
b
x
c
w
d
z
The variable which is incorrect in his solution as given in the task content is; Choice C; variable w.
Which variable is incorrect in his solution?It follows from the task content that the equation is to be solved for y.
Given; A = 2x -xyz² -w
Add w-2x to both sides of the equation;
A+w-2x = -xyz²
Divide both sides by; -xz²
y = {A+w-2x}/{-xz²}
Hence, the variable which is placed incorrectly in the task content is; w as it should appear Inthe numerator instead of the denominator.
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Can you create three different integer problems
that are equal to -15?
1. - 15 =
2. - 15 =
3. - 15 =
You have a coupon for your favorite clothing store for $20 off any purchase of more than $75. The store is
also running a 15%-off sale on its entire inventory. Let x be the original price,
f x( )
be the price with the $20
coupon applied, and
g x( )
be the price with the 15% discount applied.
(a) Write an expression for
f x( ) . (3 points)
(b) Write an expression for
g x( ) . (3 points)
(c) Write the expression
(f g x )( )
and explain what it represents? (3 points)
(d) Write the expression
(g f x )( )
and explain what it represents? (3 points)
(e) If the store allows you to apply both the 15% discount and the $20-off coupon, does it matter which
you apply first? How do you know? (3 points
Answer:
f(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
Step-by-step explanation:
It does not matter which one you apply first.
Each hour, 7.5 liters drain from a large water tank. The tank initially held 83 liters of water. What does the expression 83−7.5t represent?
The expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
We are given that:
7,5 l of water drains from the large water tank every hour.
Also, the water level in the large water tank initially was 83 l
We need to tell what does the expression 83 - 7.5 t represent.
It represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
Therefore, the expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
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Lisa's work finding the value of the expression 9 + 2(1-7) is shown below. Determine whether or not her work is correct. If it is incorrect, show Lisa how to find the correct value. Problem: 9 + 2(1-7) Step 1: Step 2: Answer: 9+2(-6) 11(-6) -66
Answer:
9 + 2(1 - 7)
= 9 + 2(-6) Simplify the subtraction expression inside the parenthesis.
= 9 - 12 Multiply.
= -3 Subtract.
a rectanglualr box has a volume of 100 cubic units. let x be the length of the sides of its square bases. express the surface area a of the box in terms of x
According to the given statement the surface area a of the box is S1= 2× x ×(h+4).
What is the surface area?An object's surface area is the total area that all of its surfaces occupy. The formulas we will learn in this post make it simple to determine the various surface areas that various 3D shapes in geometry have.
According to the given data:Vol = W*L*H = 100
Vol = X*(X+4)*H = 100
H = 100/(X^2 + 4X)S
A = 2*(X*(X+4) + X*H + H*(X+4))
Let h = the height× x ×(h+4)=100
h=100/x^{2} +4x
The top and bottom surfaces are:
S1= 2× x ×(h+4)
The following are the front as well as back areas:
S2= 2× (x+4)× h
The area for the sides is:
S3= 2x × h
Choose a value for x to check this as one method.
x=9x+ 4=13
h=100/x^{2} +4
h=100/81+4
h=100/117
According to the given statement the surface area a of the box is S1= 2× x ×(h+4).
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What is 510 of 2550? I am very very very thankful
Answer:
Use divide 510/2550 it will be 0.2
Answer:
20% or 0.2
Step-by-step explanation:
there were twice as many four-door cars as two-door cars in the parking lot. there were 36 cars in the lot. how many had four doors? how many had two doors?
the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
We are given that the number of four door cars in a parking lot is equal to twice the two door cars.
Let the two door cars be x
Four door cars = 2 x
Also, we are given that total cars = 36
So, we get the equation:
x + 2 x = 36
3 x = 36
x = 36 / 3
x = 12
Two door cars = x = 12
Four door cars = 2 x = 2 ( 12) = 24
Therefore, we get that, the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
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A stack of logs has 22 logs on the bottom layer. Each subsequent layer has 4 fewer logs than the previous layer. If the top layer has two logs, how many total logs are there in the pile?
Answer: ok here is ur answer
The total number of logs in the pile is 6.
Step-by-step explanation: i rlly hope this helps i hope u have a good day/night (: <3
What could be an equation of a trend line for the data provided below?
Distance (mi) 2, 2.5 , 3 , 3.5 , 4.
Time (min) 23 , 28 , 34 , 34 , 40.
( photo would be shown )
a : y =6x+12
b : Y=8x+15
c : y=8x+8
b : y=6x+6
Answer:
Step-by-step explanation:
b : Y=8x+15
Honestly don't understand this
34. marissa hiked 1 3/4 miles in 3/4 hours. at that rate, how far can she hike in one hour?
By unitary method, Marissa can hike 7/3 miles in an hour.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Given:
[tex]1\frac{3}{4}[/tex] = 7/4miles are hiked in 3/4 hours.
To find: the number of miles hiked in one hour
Finding:
By unitary method,
Miles hiked in 3/4 hours = 7/4
Miles hiked in 1 hour = 7/4(4/3) = 7/3
Hence, by unitary method, Marissa can hike 7/3 miles in an hour.
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What is 1+1? I really need help
12. Determine whether the given number belongs
to each set.
Whole
Integers
Rational
Numbers
Numbers
-34
Answer:
-34 is an integer and a rational number
Step-by-step explanation:
whole numbers do not include negative numbers
Solve for the missing length
Answer:
10
Step-by-step explanation:
All sides are divided by 2 on corresponding sides.
Use the number line below, where RS = 4y+4 , ST=3y+4 , and RT=43. a. What is the value of y? b. Find RS and ST.
Ignore the equation on the top just use the number line
Answer: a. y=5
b. RS=24, ST=19
Step-by-step explanation:
a. RT=RS+ST
43=4y+4+3y+4
43=4y+3y+4+4
43=7y+8
7y=35
y=5
b. RS=4y+4
RS=4(5)+4
RS=20+4
RS=24
ST=3(5)+4
ST=15+4
ST=19
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation. 6x − y = 1 4x − 3y = −11 (6 points) Group of answer choices 4(−6x + 1) − 3y = −11 4(6x + 1) − 3y = −11 4x − 3(6x − 1) = −11 4x − 3(−6x − 1) = −11
The new equation that will be formed is x − 3(6x − 1) = −11 (third option).
What is the substitution method?The substitution method is one of the methods that is used to solve simultaneous equations. It entails making one of the variables subject of the formula and substituting for it in the second equation. Other methods that can be used to solve simultaneous equations are the graph method and the elimination method.
The two simultaneous equations given are:
6x − y = 1 equation 1
4x − 3y = −11 equation 2
When y in equation 1 is made subject of the formula, the equation formed is:
y = 6x - 1 equation 3
Substitute for y in equation 2
4x - 3(6x - 1) = -11
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calculate the circumference of a circle with a: radius of 72,5mm
Answer:
4553
Step-by-step explanation:
2 x pi x r
8x55 nnnnnnnnnnnnn what is the answer
Answer:
440
Step-by-step explanation:
Answer:
440
Step-by-step explanation:
Hm
A model of a golf course says that hole #9 is 175 yards long. If the scale for the model is 2in.:20 yards, how many inches are there between the tee and the hole on the model.
There is 17.5 inches distance between the tee and the hole on the model.
According to the question we have been given that
length of hole#9 is = 175 yards
the scale for the model is given as = 2 inch : 20yards
We need to find the inches between the tee and the hole.
Let the length between the tee and the hole on the model be x inches
Thus the above condition can be written as
2 inches / 20yards = x inches/175 yards
We have to solve this proportion for x we get
x inches = 175*2/20
x = 17.5 inches
Hence there is 17.5 inches distance between the tee and the hole on the model.
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The content dimension of a message deals with the _____ of a message, while the relational dimension of a message deals with the _____ of a message.
The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.
Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.
"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."
Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.
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a trapezoid was transformed on a coordinate grid using the rule (x, y) → (–x, y). which of the following describes this transformation?
The transformation is called a reflection across X axis because the point (x,y) is projected from across X-axis as (x,-y).
What is transformation?A point, lines, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after.
transformation, refers to the object's ultimate shape and location.
According to the given data:This rule is represented by the reflect placed above a white x axis transformation (x, y) (–x, y).
While the x-coordinate remains the same, the y-coordinate has shifted from its initial position.
The overall description of this is (x, y) (–x, y).
The X-coordinate of a point that is reflected all across the X-axis remains constant. The Y-coordinate, on the other hand, is changed towards the opposite sign.
The transformation is called a reflection across X axis because the point (x,y) is projected from across X-axis as (x,-y).
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