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a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items
Profits are simply the difference between the selling price and the cost price of an item.
The expression that represents the total profit is 3850x - 22100
The profit (p1) on the first item is given as:
[tex]p_1 = 2000x - 10500[/tex]
The profit (p2) on the second item is given as:
[tex]p_2 = 1850x - 11600[/tex]
So, the total profit (p) on the sales of both items is:
[tex]p = p_1 + p_2[/tex]
Substitute known values
[tex]p = 2000x - 10500 + 1850x - 11600[/tex]
Collect like terms
[tex]p = 2000x + 1850x- 10500 - 11600[/tex]
[tex]p = 3850x-22100[/tex]
Hence, the expression that represents the total profit is 3850x - 22100
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Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!
Answer:
No Solution
Step-by-step explanation:
2x - 1 = 2x + 3 Combine the like terms.
0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.
Divide £520 in the ratio 6:7
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.
Answer:
First number is -2.5
Second number 5
Step-by-step explanation:
Four times the first number minus three times the second number is 2.
To represent this statement, 4x -3y =2
Two times the first number increased by three times the second is 10.
To represent thsi statement, 2x+ 3y = 10
4x - 3y = 2
2x + 3y =10
4x - 2x = 2x
2x = -5
x= -2.5
The first number is -2.5
By using Substitution
2x + 3y = 10
2(-2.5) + 3y = 10
-5 + 3y = 10
3y = 10 +5
3y =15
y = 5
The second number is 5
....To check my answer
-5 + 15 = 10
Which lines of A, B, and C are perpendicular?
Answer:
a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1
Step-by-step explanation:
perpendicular slopes multiplied by each other would be -1
-1/3 * 3 for a and both other lines is -1
that means a is perpendicular to both b and c
Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answer:
5:36
Step-by-step explanation:
12 inches = 1 foot, so 6 feet = 72 inches
10:72, reduces to 5:36
decide whether the function is a polynomial function if it is write the function in standard form
f(x)=1/2x²-3x^4-7
Answer:
yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7
Step-by-step explanation:
standard form is placing all terms in decreasing exponent order
Answer:
it is a polynomial because all of the exponents are non-negative
standard form f(x)=-3x^4+1/2^2-7
Step-by-step explanation:
Hope it helps
Have a nice day : )
An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposits or withdrawals are made?
Answer:
$2,382.03
Step-by-step explanation:
Interest = Principal x Rate x Time
༒Question༒
refer to attachment
nonsense will get report
Answer:
REFER TO ATTACHEMENT
I HOPE IT IS HELPFUL1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
9.A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 ft. The vertical distance from the edge of the roof to the peak is 6.25 ft. Determine
the slope of the roof. Leave your answer in simplest form.
Answer:
Step-by-step explanation:
slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
What is the value of (-a) to the 4th power / (-a) to the 3rd power
Step-by-step explanation:
(-a)⁴ / (-a)³ = -a
since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)
4 - 3 = 1
so, the exponent 1 remains.
it works also, if we process the exponents first
(-a)⁴ = a⁴
(-a)³ = -(a³)
a⁴/-(a³) = a/-1 = -a
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
Can someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?
the cost is decreased by 5%.... ..
...
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
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if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
========================================================
Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = 135 inches
2,38 x 5,6 + 9,52 hljkjkk
Answer:
22.848
Step-by-step explanation:
just type it into a calculator dawg
nin
1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?
Answer:
y=(-5/2)x-4
Step-by-step explanation:
Step 1: Define the equation of a line.
Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.
Step 2: Write the given parameters
(x1,y1)=(-2,1)
m=-5/2
Using the formula y-y1=m(x-x1)
y-1=-5/2(x-(-2))
y-1=-5/2(x+2)
y-1=(-5x-10)/2
By cross multiplication,
2(y-1)=-5x-10
2y-2=-5x-10
2y=-5x-10+2
2y=-5x-8
y=(-5x-8)/2
y=(-5/2)x-4
75% of the sum
of t&a and 7 3 6
-100
a
b
answer in the photo thank me later mate
HELP!!!
n – 3 = ‐1
Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!
Answer:
n = 2
Step 1: Add 3 to both sides to isolate x.
n – 3 = ‐1
Step 2: Solve
=> n = -1 + 3
Final Answer: Answer to the question.
=> n = 2
Therefore, n = 2 is our answer.
Hoped this helped.
Find a direct relationship
between y and x.
x= e2t and y= et
y = [?
Answer:
y=√x
Step-by-step explanation: here are the steps
The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.
Answer:
230.0 x 1000-200
Step-by-step explanation:
Since one grain of pepper is 2.3x10-2 100 would be 100 times that.
is this correct ? if not what’s the correct answer?
It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.
This adds up to 136 and you must subtract 136 from 180 and is 44.
-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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