Answer:
$40928.57
Step-by-step explanation:
(5·36500 + 2·52000) / (5 + 2) = 40928.57
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such
as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $49,631, and the variable costs will be $10.25
per book. With the other method, the one-time fixed costs will total $12,209, and the variable costs will be $23.75 per book. For how many books produced will
the costs from the two methods be the same?
Step-by-step explanation:
for both costs to be the same, the sum of the fixed and the variable costs must be the same.
so,
49631 + 10.25x = 12209 + 23.75x
37422 = 13.50x
x = 37422 / 13.5 = 2,772
the costs of both methods will be the same for 2,772 produced books.
Draw a picture: The area of a square is 81 square centimeters, then find the length of the sides and diagonals.
The length of a side of the square is 9 centimeters. The length of the diagonal is 12.73 centimeters.
What is the length of the side and diagonal?A square is an object that has four sides of equal length. A square has two diagonals that biscect each other at 90°. The diagonals are of equal length. The diagonals of a square divide the square into two right triangles.
Area of a square = length²
Length = √area
√81 = 9cm
Pythagoras theorem can be used to determine the length of the diagonal.
The Pythagoras theorem: a² + b² = c²
Where:
a = lengthb = basec = hypotenuse9² + 9²
= 81 + 81
= √162 = 12.73 cm
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Find the value of x in each case
Answer:
10
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
a slope-intercept form :
y = ax + b
"a" is the slope, "b" is the y-intercept (the y-value when x = 0).
the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.
"b" we can read off the graph : when x = 0, then y = -5.
so, b = -5.
for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.
so, I pick (3, 1) and (4, 3).
x changes by +1 (from 3 to 4).
y changes by +2 (from 1 to 3).
so, the slope is
+2/+1 = 2/1 = 2
the equation is
y = 2x - 5
Answer: y=2x-5
Step-by-step explanation:
Choose two points on the graph: (0,-5) and (3,1)
The straight line equation is: y=mx+b
1)
[tex]\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)[/tex]
2)
To determine the coefficient b, take any of the two points,
for example, (0,-5), that is, x=0 y=5
Substitute these values into formula (1):
[tex]-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5[/tex]
The result is y=2x-5
gilroy drove 12 minutes to gethome from tee time.the grph shows the remaining distnce from his house as a linear function of x,the number of minutes spent driving.find the domain and range ?
PLEASE HELP ASAP
The domain and the range of the function are given as follows:
Domain: 0 ≤ Minutes ≤ 12.Range: 0 ≤ Miles ≤ 10.How to find the domain and the range of a function?The domain of a function is the set that contains all the values assumed by the input of the function. Hence, given the graph of a function, the domain is composed by the values of the horizontal axis.The range of a function is the set that contains all the values assumed by the output of the function. Hence, given the graph of a function, the range is composed by the values of the vertical axis.In the context of this problem, the domain is the time in minutes remaining until Gilroy reaches home, hence it is given by the following interval:
Domain: 0 ≤ Minutes ≤ 12.
The range is given by the distance that he has to drive until he reaches home, hence it is given by the following interval:
Range: 0 ≤ Miles ≤ 10.
What is the missing information?The graph for us to verify the domain and range is missing, and it is given by the image at the end of the answer.
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3y+2x=-1 solve for x
Chec
Nathan sells jewelry and earns a 9.75% commission on every piece
he sells. How much commission would he earn on a bracelet that
sold for $220? Use any strategy
Answer:
$21.45
Step-by-step explanation:
You want to know the amount of a 9.75% commission on $220.
CommissionThe amount of the commission is the product of the commission rate and the sales amount to which it is applicable. A 9.75% commission on $220 will be ...
9.75% × $220 = 0.0975 × $220 = $21.45
Nathan would earn a commission of $21.45 on the sale.
__
Additional comment
We know that a 10% commission can be found by moving the decimal point on the sale amount. A 10% commission on $220 will be $22.
The commission rate of 9.75% is 1/4% less than 10%. 1/4% can be found in two steps: find 1%, then find 1/4 of that.
As with 10%, the 1% amount can be found by moving the decimal point. 1% of $220 is $2.20. One-quarter of that will be $2.20/4 = $1.10/2 = $0.55.
This is the amount we must subtract from the 10% value to make it be 9.75%.
The 9.75% commission amount is $22.00 -0.55 = $21.45.
(The point of using a strategy like this is that you can do the math mentally.)
PLEASE HELP ASAP ITS THE LAST QUESTION I HAVE
MATHEMATICALLY WE SAY
[tex] - 2 < x \leqslant 3[/tex]
THE FIRST OPTION FITS MY EXPLANATION.THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED
HOPE THIS HELPS.
PLEASE QUICK HELP ME
Answer:
the answer is 115 degrees
Step-by-step explanation:
x is opposite of 115 and would be the same because they are congruent
Given the information marked on each figure below, select all classifications that must be true.
Note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determining your answers.
If necessary, you may learn what the markings on a figure indicate.
The figures in this problem are classified as follows:
Figure RSTU: Quadrilateral, Parallelogram, Rectangle.Figure: KLNM: Quadrilateral, Parallelogram.Figure ABCD: Quadrilateral.What are quadrilaterals, parallelograms and rectangles?The quadrilaterals, parallelograms and rectangles are classified as follows:
Quadrilaterals: any polygon with four sides.Parallelogram: quadrilateral in which both pairs of opposite sides are parallel. Opposite sides and opposite angles are congruent, adjacent angles are supplementary and the diagonals bisect each other.Rectangle: has all the properties of a parallelogram, along with congruent diagonals.Hence, Figure RSTU, as the diagonals are congruent, is classified as all three of these characteristics.
For Figure KLMN, the opposite sides and angles are parallel, hence it is also a parallelogram, while ABCD is only a quadrilateral, as there is not enough information about the sides/angles.
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Solve the equation
Y=1/2(-4)-6
Answer:
y=-8
just do it
Step-by-step explanation:
have a nice evening
I don't get this please help urgently
Answer:
The coordinates for the outlier are (14,13)
I believe it is a positive correlation
13.6 hours of sunshine would be my guess but I'm not 100% sure
I believe the last answer is A.
Enter an equation in standard form that models the linear situation. A bathtub that holds 53 gallons of water contains 18 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
Let's suppose the number of minutes by x and the amount of water by y
As per the given question,
The amount of water (y) initially (x = 0) is 18 gallons.
The first point (0,18).
The amount of water (y) at x = 5 is 53 gallons.
The second point (5,53).
The linear equation is given as y = mx + c where m is the slope.
Slope m = (53 - 18)/(5 - 0) = 7
Substitute (0,18) →
18 = 7(0) + c
c = 18
So the equation become as,
y = 7x + 18.
Hence "The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18".
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Given (x – 7)2 = 36, select the values of x.
Answer:
x=25
Step-by-step explanation:
2(x-7) = 36
x-7 = 18
x = 25
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There were fifty-nine people in line at lunch when sixteen more got in line. How many people were there total in line?
answer: 59+16=75
75 total in line
State the transformations performed on the parent function f(x)
help please :)))))))))))))))))))))
The ratio of the length of the car to the length of the model is 15 : 1.
What is ratio?A ratio compares values. Ratio, is a term that is used to compare two or more numbers. in a simpler terms, a ratio shows how many times one number contains another.
Therefore, the car is 10 feet long and the model is 8 inches long.
Hence, the ratio of the length of the car to the length of the model can be calculated as follows:
10 ft = 120 inches
Hence,
120 inches : 8 inches
let's reduce it by dividing by 8
120 / 8 : 8 / 8
Therefore, the ratio is 15 : 1
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In x years from now, Robert will be k
years old. How old was Robert m
years ago?
A) x-(k+m)
B) k-x
C) k-x-m
D) x-(k-m)
Answer:
I think the answer would be C, because
Step-by-step explanation:
Example:
If in 6(x) years Robert is 16(k), how old was he 3(m) years ago?
First, you would have to find out how old Robert is now, 16-6=10
Then, you would take 10, his current age, and subtract 3(m) 10-3=7
I hope this helped, good luck!
Since Robert will be [tex]k[/tex] years old in [tex]x[/tex] years, he must be [tex](k-x)[/tex] years old now.
[tex]Robert=(k-x)old[/tex]Robert was [tex](k-x)-m[/tex] years old; [tex]m[/tex] years ago.
[tex]Robert=(k-x)-m[/tex]The answer is C.
Is Shape A congruent to Shape B? Explain your reasoning.
Answer:
- Shape A is congruent to Shape B because if you were to rotate one of the two and flip it the would like up and match.
3(2a-b)=a make b the subject of formula
On making b the subject , the formula is b = (5/3)a .
in the question ,
it is given that
the formula is a = 3(2a-b), where the subject is a ,
we have to rewrite the formula with b as the subject .
So, the given formula is
a = 3(2a-b)
simplifying the RHS , we get
a = 3*2a - 3*b
a = 6a - 3b
on re arranging the terms , we get
3b = 6a - a
3b = 5a
Dividing both sides by 3 ,we get
3b/3 = 5a/3
Cancelling out 3 from LHS , we get
b = 5a/3
b = (5/3)a
Therefore , On making b the subject , the formula is b = (5/3)a .
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can someone please help me answer this is confused how to solve. Thank you so much if you help!
Answer:
Step-by-step explanation: X=-5,-4,-3,-2,-1 Y= -2,-3,-4,-3,-2
Sarah spent 2 h more travelling by train than she did by bus. The train averaged 70 km/h and the bus 50 km/h. The total distance travelled was 740 km. How far did she travel by bus?
Answer:
250 km
Step-by-step explanation:
Sarah traveled a total of 740 km, 2 hours more at a speed of 70 km/h than at a speed of 50 km/h. You want to know how far she traveled at 50 km/h.
SetupThe relations between time, speed, and distance are ...
distance = speed × time
time = distance/speed
If 'd' represents the distance (km) Sarah traveled by bus (at 50 km/h), then the time (hours) required was ...
time = d/50
The time at 70 km/h is 2 hours more, and the total distance is ...
total distance = (distance at 50 km/h) + (distance at 70 km/h)
740 = d + 70(d/50 +2)
SolutionSimplifying the equation, we have ...
740 = 2.4d +140
600 = 2.4d . . . . . . . . subtract 140
d = 250 . . . . . . . . . . . divide by 2.4
Sarah traveled 250 km by bus.
Which 2 expressions are equivalent to 3(x+6)?
1. 3+x+3+x
2. (x+6)+(x+6)+(x+6)
3. 3x+6
4. 3x+18
Answer:
2. (x+6)+(x+6)+(x+6)
4. 3x+18
Why its (x+6)+(x+6)+(x+6)
Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).
Why its 3x+18
When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.
Submit a 250 word minimum essay on the steps of solving for both the x and y intercept.
The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.
Here's an example
2x+5y = 10
Let's find the x intercept
2x+5y = 10
2x+5(0) = 10
2x = 10
x = 5 is the x intercept
Now we'll do the y intercept
2x+5y = 10
2(0)+5y = 10
5y = 10
y = 10/5
y = 2 is the y intercept
The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.
What is the value of the expression shown below?.
-6 + (-9)
1. -15
2. -3
3. 3
4. 15
Answer:
-15, so option 1: -15
Step-by-step explanation:
We know that adding (-9) is the same as substracting 9.
So -6 + (-9) = -6 - 9 = -15
A farmer has bushels to sell at a roadside stand. sells an average of
each day. Represent the total change in the number of bushels for sale after.
The total change in the number of bushels for sale is 64.1 bushels.
Given
A farmer has 160 bushels of apples to sell at her roadside stand. Every day, she sells around a 13 7/10 bushel.
Let us calculate the overall change in the number of bushels she has available for sale after 7 days.
137/10
Now we'll figure out how many bushels she'll sell in seven days.
7 x 137/10
95.9
In 7 days, the farmer will sell 95.9 bushels. To calculate our overall change, subtract this figure from the total number of bushels of apples.
165 - 95.9 = 64.1
Thus, a total of 64.1 bushels have been added to the amount of bushels available for sale.
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Please help!
A model car is for sale online. The owner
discounts the price by 5% each day until it
sells. On the third day the car sells. If the
original price of the model car was $40,
how much did the car sell for? What percent
discount does this represent from the
original price?
Answer: the model car sold for $34, at a 15% discount.
Step-by-step explanation:
first multiply 5% by 3 days, for a total discount of 15%.
then apply the 15% discount to the $40 car, arriving at a price of $34.
Answer:
The car sold for 34 .
Step-by-step explanation:
.
.
.
.
.
P=N+2/D make N the subject formula
Answer:
N=PD-2
Step-by-step explanation:
1. multiply both sides by D
[tex]pd = n + 2[/tex]
2.subtract 2 from both sides.
[tex]pd - 2 = n[/tex]
9x + 27 factor please
Answer:
9(x+3)
Step-by-step explanation:
9x + 27
Taking 9 as the common factor in the 2 terms
=> 9(x) + 9(3)
=> 9(x+3)
Katie owns 2 2/3 acres of land. She divided the Land into 1/3 acre lots. How many lots did Katie have?
HELPPP PLEASEE
Answer:
8
Step-by-step explanation:
8/3 * 3/1 = 24/3= 8