Answer:
x is the independent variable and it represents the number of hours worked per week by the clerk.
Step-by-step explanation:
An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.
A dependent variable is a variable in a model that changes as a result of a change in the independent variable.
From the question, x is the independent variable and its represent the number of hours worked by the clerk.
F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.
For example, since we are given:
F(x) = 6x ............................... (1)
Where;
F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)
6 = coefficient of x = Earning per hour
x = Independent variable = Number of hours worked
Assuming x = 1, we can substitute this into equation (1) and have:
F(x) = 6 * 1 = $6
But when x = 2, we have:
F(x) = 6 * 2 = $12
Therefore, the dependent variable F(x) changes from $6 weekly to $12 weekly as the independent variable x changes form 1 hour to 2 hours weekly.
What is 115% of 4? Round to the nearest hundredth
Answer:
4.6
Step-by-step explanation:
Answer:
4.6
Step-by-step explanation:
1. We assume, that the number 4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 4 is 100%, so we can write it down as 4=100%.
4. We know, that x is 115% of the output value, so we can write it down as x=115%.
5. Now we have two simple equations:
1) 4=100%
2) x=115%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
4/x=100%/115%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 115% of 4
4/x=100/115
(4/x)*x=(100/115)*x - we multiply both sides of the equation by x
4=0.8695652173913*x - we divide both sides of the equation by (0.8695652173913) to get x
4/0.8695652173913=x
4.6=x
x=4.6
now we have:
115% of 4=4.6
When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?
x − 7
x + 7
x − 5
x + 5
Answer:
x + 7
Step-by-step explanation:
x2 + 4x − 21
set equal to 0
x2 + 4x − 21 = 0
factor
(x - 3) (x + 7)
x2 + 11x + 28
set equal to 0
x2 + 11x + 28 = 0
factor
(x + 4) (x + 7)
The wholesale price of a sweater is $35. The retail price of the sweater is 10% more than the wholesale price. What is the retail price of the sweater?
Answer:
$38.50
Step-by-step explanation:
35/10 =3.5
35+3.5=38.5=$38.50
3. What is the value of |—9|?
A. 18
B. 9
C. 0
D. -9
Answer:
B) 9
Step-by-step explanation:
The answer s 9 because the absolute value symbols in the question mean the distance away from 0. In this case, -9 is 9 away from 0 so the answer is 9.
hope this helped!
What is the truth value of the following statement? If a number is divisible by 3, then it is odd. True or False?
Answer: not true
Step-by-step explanation: :) Yay
X + x + x + x = 28
Solve for X
Steps to solve:
X + x + x + x = 28
~Combine like terms
4x = 28
~Divide 4 to both sides
x = 7
Best of Luck!
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]x+x+x+x=28[/tex]
Add the "x" variables together:
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{28}{4}[/tex]
[tex]x=7[/tex]
I don’t understand need help
Answer: Choice D
(a-e)/f
=======================================
Explanation:
Points D and B are at locations (e,f) and (a,0) respectively.
Find the slope of line DB to get
m = (y2-y1)/(x2-x1)
m = (0-f)/(a-e)
m = -f/(a-e)
This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.
Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.
Which rate can you set 7 miles/ 1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
7 hours/ ? miles
49 hours/ ?miles
? miles/ 7 hours
? miles/ 49 hours
In the diagram below, we are given A(1,5) and B(1,3). The area of rectangle ABCD is 10 units' What are the coordinates of point C? A.(5,3) B(6,3) C(5,5) D(6,5)
Answer:
(6,3)
Step-by-step explanation:
One way you can do it is by using an coordinate grid or doing the x values of C-B which will give you 5 and x values of A+B which is 2. Them multiply 5*2= 10
9squared plus 3 squared equals
Answer:
90
Step-by-step explanation:
9^2 + 3^2 equals:
81 + 9 = 90
can you please give me a short brief answer
Answer:
120 yards 1.
Step-by-step explanation:
In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:
Area of rectangle = length × width
12 × 15 = 180 yards²
Area of triangle = ½ × base × height
½ × 10 × 12 = 60 yards²
Now subtract the area of triangle from the area of rectangle:
180 - 60 = 120 yards ²
Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x + x + 0.5x + y + y – 2. Who is correct? Explain
Answer:
both
Step-by-step explanation:
Both Gabriel and his sister are correct. The two expressions are equivalent. Gabriel’s sister just needs to combine her like terms to get the same expression as Gabriel
35-40 first with the correct answers will get brainliest
Answer:
35.w/g=m
36. P=1/2Q-15
37. R=IV
38. b=-mx+y
39. a) t=-d-e+f
b) t=19.175
40. No, X=-2.4
Step-by-step explanation:
Explanation for 40:
2(x-4)-4x=-6x+9x+4
first do the parentheses
2x-8-4x=-6x+9x+4
next combine like terms
-2x-8=3x+4
add 2x to each side
-8=5x+4
subtract 4 from each side
-12=5x
divide both sides by 5
x=-2.4
Jessica had 105 dollars to spend on 8
books. After buying them she had 17
dollars. How much did each book cost ?
Use b to represent your unknown
variable.
Answer:
each book cost 11 dollars
Step-by-step explanation:
If she had 17 dollars left at the end, subtract that from the total amount she had. 105-17= 88. Then youdevide 88 by 8 (because she got 8 books) and yu get 11
I need help please. G
Answer:
EBD is 135, ABE is 45
Step-by-step explanation:
What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?
Answer:
(4,3),y=(7)/(4)x+1
Step-by-step explanation:
To find an equation that is parallel to y = 7 4 x + 1 y=74x+1, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. ( 4 , 3 ) (4,3) m = 7 4
Using the point-slope form y − y 1 = m ( x − x 1 ) y-y1=m(x-x1), plug in m = 7 4 m=74, x 1 = 4 x1=4, and y 1 = 3 y1=3. y − ( 3 ) = ( 7 4 ) ( x − ( 4 ) )
Solving for y:
Multiply − 1 -1 by 3 3. y − 3 = ( 7 4 ) ( x − ( 4 ) ) y-3=(74)(x-(4)) Simplify ( 7 4 ) ( x − ( 4 ) ) (74)(x-(4)).
y − 3 = 7 x 4 − 7
y = 7 x 4 − 4 y=7x4-4 Reorder terms. y = 7 4 x − 4
Please help with this question.
The model represents an equation. What value of X makes the equation true?
A) 9
B) 9/4
C) -9
D) - 9/4
Answer:
-9
Step-by-step explanation:
Simplify
1/4 + 4(1/2 - 3/4)^2
I neeeeeed help really fast, please!! 0 X 0 = ?
Answer:
0
Step-by-step explanation:
'y
6-1, 5)
10
x
10
-2
-2
Which is the equation of the given line in slope-intercept form?
Answer10x
Step-by-step explanation:
Answer:
can you include a picture of the question
If 10% of xis 20, what is 23% of X?
Answer:
46%
Step-by-step explanation:
Answer:
46%
Step-by-step explanation:
Hope it helps
if it does make me the brainliest pls
60 inches of plastic are folded to make a picture frame. The height of the finished frame is 6 inches. How long is the frame?
Step-by-step explanation:
This is a perimeter problem
P=2l+2w
60=2(6)+2w
-12 -12
48=2w
W=24inches
HOPE IT WILL HELP YOU
Help out on geometry class!!
Answer:
m∠1 = 25°
Step-by-step explanation:
Sum of Angles in a triangle: 180°
Degree of measure of a line: 180°
Step 1: Find missing angle ∠2
m∠2 + 104 = 180
m∠2 = 76°
Step 2: Find missing angle ∠1
m∠1 + m∠2 + 79 = 180
m∠1 + 76 + 79 = 180
m∠1 + 155 = 180
m∠1 = 25°
Reggie travels 300 km in one hour what is Reggies speed in kilometers per hour
Reggie travels 300 km an hour
One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza? (Pie=3.14)
Answer:
78.5 in.²
Explanation:
Formula For Area Of Circle: Area = πr²
π: 3.14
r (Half Of Diameter): 5
r²: 25
3.14 · 25 = 78.5
Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used. Let’s look back at the same quadratic functions you saw in the Warm-Up at the beginning of this lesson. Use what you learned about the fundamental theorem of algebra to determine the number of real and complex roots each function has. two distinct real rootsone repeated real rootone real root and one complex roottwo complex roots
Answer:
Graph A: two distinct roots. Graph B: one repeated real root. Graph C: two complex roots. Graph D: two distinct real roots.
Step-by-step explanation:
Explanation:
Each graph represents a quadratic function. So by the fundamental theorem of algebra, we know that each graph will have two roots.
Graph A crosses the x-axis twice. So, graph A has two distinct real roots.
Graph B touches the x-axis once. A quadratic cannot have one real root and one complex root. So it must have one repeated real root.
Graph C doesn’t cross the x-axis. This means it must have two complex roots.
Graph D crosses the x-axis twice. So, graph D has two distinct real roots.
How can you tell Is something is a unit rate
Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.
For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.
For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:
interest/amount invested
revolutions/minute
salary/year
Conversationally, the word ''per'' indicates we are using a unit rate.
10. Shawna's Bikesrents bikes for $20 plus $4
per hour. Jaidee paid $52 to rent a bike. For how
many hours did she rent the bike?
Answer:
she rented to bike for 8 hours
Step-by-step explanation:
52-20=32
32/4=8
is 16.0 identified as a whole number?
Answer:
it is a rational number
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
100 POINTS!!!!
PLEASE HELP DUE TODAY!!!!!
Arguments:
A There is a need for students to understand and be able to construct geometric figures using a compass and straightedge.
B There is no need for students to use a compass and straightedge, and all geometric constructions should be done using a drawing program.
What needs to be done:
A summary of your argument. The summary should begin with the argument statement you chose.
In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better.
A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites
Three reasons why the other method is not better is because to use drawing program would mean you would need some sort of technology and electricity to use it and some places, like third world countries, do not have access to that, so most probably you would have to resort to paper. Also, drawing programs are based off the skills needed to create geometric figures with a straightedge and compass. And lastly, what if we had no more technology anymore? Then how would we use a drawing program? Drawing programs are only reliable when electricity is located.
SO THE ANSWER IS A hope it help :)
I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.
The compass and straightedge can be used anywhere. The compass and straight edge have been around for lots of years. They are a valuable tool for students in math and in real world applications. The compass and straightedge are portable and handy to use any given time. That is why there is a need for students to understand and be able to construct geometric figures using a compass and straight edge.
The compass and straight edge have been used to accurately create geometric figures for thousands of years. This shows that they are accurate and useful to us. Using technology is less reliable for many reasons. Technology can break, or glitch and shut down, making you lose all your work. You cannot draw on physical objects with an iPad like you could with a pencil or pen. Having a physical copy of things makes things easier to keep track of. Having a blueprint would be better than having a drawing on your phone. You can get another blueprint, but if your phone breaks and that drawing isn't saved, it's gone.
These are only a few reasons why I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.
