The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
[tex]\mathbf{Used = 70\% \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{Used = 0.7 \times x}[/tex]
[tex]\mathbf{Used = 0.7x}[/tex]
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
[tex]\mathbf{New= (1 + 15\%) \times x}[/tex]
Express percentage as decimal
[tex]\mathbf{New= (1 + 0.15) \times x}[/tex]
[tex]\mathbf{New= 1.15 \times x}[/tex]
[tex]\mathbf{New= 1.15x}[/tex]
The amount saved is the difference between the prices of the drones.
So, we have:
[tex]\mathbf{Saved =New - Old}[/tex]
This gives
[tex]\mathbf{Saved =1.15x- 0.7x}[/tex]
Subtract
[tex]\mathbf{Saved =0.45x}[/tex]
Express as a function
[tex]\mathbf{f(x) = 0.45x}[/tex]
Hence, the function for the amount saved is f(x) = 0.45x
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8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
What is the slope for this table?
Answer:
look at the picture ..........
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
Answer:
1489
Step-by-step explanation:
The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .
Answer:
8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
solve for x in the triangle
Answer:
x=9
Step-by-step explanation:
Since the sides are the same, the base angles must be the same
8x+2 = 10x-16
Subtract 8x from each side
8x+2-8x =10x-16-8x
2 = 2x-16
Add 16 to each side
2+16 = 2x-16+16
18 =2x
Divide by 2
18/2 =2x/2
9 =x
Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.
A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P
Answer:
A. 10A+10P+54
Step-by-step explanation:
Find the perimeter. Simplify the answer
Answer:
Perimeter = 16c + 24
Step-by-step explanation:
Perimeter = 4c + 7 + 4c + 7 + 8c + 10
Perimeter = 16c + 14 + 10
Perimeter = 16c + 24
-Chetan K
16c + 24
Step-by-step explanation:
To Find the perimeter we add
all the sides,
= > 4c + 7 + 4c + 7 + 8c + 10
= > 16c + 24...ans
Hope it Helps you!!Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?
A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5
Answer:
B : y = 0.1x + 5
Step-by-step explanation:
using the y = mx + b equation
b is the intercept on the y axis ( x = 0)
m is the slope of the line.
From the graph we can see that the intercept is (0,5), therefore b = 5;
To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)
m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1
m = 0.1
therefore in y = mx + b
y = 0.1x + 5
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
PLEASE HELP, DUE TOMORROW
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
Find the greatest common factor of 27 and 46
The greatest common factor of 27 and 46 is 1
Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
Step-by-step explanation:
What equation represents this sentence?
28 is the quotient of a number and 4.
28=n4
4=n28
4=28n
28=4n
The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.
It is given that, 28 is the quotient of a number and 4.
The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
Suppose the number is n,
n/4=28
Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.
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Solve the conjunctions below.
2 < x/3 - 5 < 6
3 < 2(x + 2) - 7 ≤ 13
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..
(with solution)
PA HELP PO THANKYOUU~
Answer:
127/64
Step-by-step explanation:
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64
add all the given and it will result to 127/64
By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?
Answer:
2333
Step-by-step explanation:
someone pls help it’s due today :(
180 - 28 - 14 = 138
so 12x - 18 = 138
x = 13
f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
answer it pls
pls
pls
Answer:
The probability that a letter at random is from V is 5/26 or 19.23%
identify the constant term in this expression 28m + 4n - 12m +3 =
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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(a) 35.8 + 10 need answer
Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?
Answer:
1575
Step-by-step explanation:
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
12×6×2+10×6×2+12×10×2
Answer:
504
Step-by-step explanation:
The answer is 504.
Thank me later