The required equation model for the condition of the number of lightbulbs in p packages is given as n = 24p.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
So according to the question,
n = 24p
Thus, the required equation model the given equation is given as n = 24p.
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Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?
Answer:
Anita's monthly bill will be $164.25.
Step-by-step explanation:
Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:
100 + (0.85 x 45) + (0.25 x 105) = X
100 + 38.25 + 26.25 = X
138.25 + 26.25 = X
164.25 = X
Therefore, her monthly bill will be $ 164.25.
DEFG is a square. Find the measure of each of the angles,
Answer:
EFG = 90°
GDH = 45°
FEG = 45°
DHG = 90°
have a great day!
Determine the slope from the given graph below:
Answer:
y = -2x - 3
Step-by-step explanation:
pls help
pls show handwritten work
with full explanation
thank you
and this is factorise
Answer:
This may help you
look it once.
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Question 1 :
[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]
_____________________________
[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]
[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]
[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]
[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]
[tex]\small(a²b² + 1)² - (ab - c)²[/tex]
[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Just need to know the answer for this I’m stuck !
Answer:
6
Step-by-step explanation:
By intersecting chords theorem:
[tex]14(x - 3) = 12(x - 2) \\ \\ 14x - 42 = 12x - 24 \\ \\ 14x - 12x = 42 - 24 \\ \\ 2x = 18 \\ \\ x = \frac{18}{2} \\ \\ x = 9 \\ \\ LG = x - 3 \\ \\ LG = 9 - 3 \\ \\ LG = 6[/tex]
Convert 118 to radian measure.
Round your answer to the nearest hundredth.
Answer:
2.06 rad
Step-by-step explanation:
To change degree measure to radian measure
radians = degrees × [tex]\frac{\pi }{180}[/tex] , then
radians = 118 × [tex]\frac{\pi }{180}[/tex]
= [tex]\frac{118(\pi )}{180}[/tex] ≈ 2.06 rad ( to the nearest hundredth )
Answer:
2.06 radians to nearest hundredth.
Step-by-step explanation:
Radians = degrees * π/180
= 118 * π/180
= 0.6556π
= 2.0596.
cos 25° cos 20° - sin 25° sin 20° please help
Answer:
sin 20
Step-by-step explanation:
that is the answer it's sin 20 trust me
9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation:
Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?
Answer:
betch Corvette Corvette hop 9n a coloor
Answer:
If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?
Dinner at olive garden cost $52.37. You Leave a 20% tip, What is the total cost
Answer:
62.84
Step-by-step explanation:
52.37 times 1.20(how you calculate tip) =62.84
Answer:
$62.84
Step-by-step explanation:
Tip is $10.47 add that with 52.37
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
: £50 is worth €56
How many euros is £1 worth?
Answer:
Let's make this a ratio:
50:56
Divide by 50 on both sides (since they made it a unit rate).
1:1.12
1.12 is your answer.
Which algebraic expression represents 10 less than a number?
A. n + 10
B. 10 – n
C. n – 10
D. 10n
Answer:
C
Step-by-step explanation:
It means a no minus 10. I hope this helps. Good luck
============================================
Explanation:
Consider an example of saying "10 less than 50" would mean we compute 50-10 = 40
Another example would be "10 less than 78" so we say 78-10 = 68
In general, we would use algebra to go from "10 less than a number" to "a number - 10" to n - 10
Whatever n is, we subtract 10 from it to get that expression.
From there, we replace n with various numbers. Eg: replace n with 50
n-10 = 50-10 = 40
-----------------
Be careful not to mix up "10 less than a number" with "10 is less than a number". The "is" being the difference. This single word will change what the symbol interpretation will be.
"10 is less than a number" translates to 10 < n
What type of transformation does the image below depict?
two triangles on a cartesian plane with an arrow in between
translation
dilation
rotation
reflection
Answer:
Rotation
Step-by-step explanation:
follow v.sauce.memes on ig
what is the unit rate of 2250 pencils in 18 boxes
Answer:
184
Step-by-step explanation:
i did it this on a test a while back
Answer: 125 Pencils per Box
Step-by-step explanation:
This is a fraction equal to
2250 Pencils ÷ 18 Boxes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 18
2250 Pencils ÷ 18
18 Boxes ÷ 18
=
125 Pencils
1 Box
=
125 Pencils
Box
= 125 Pencils per Box
Find the length, x, of the third side of the triangle.
Answer:
[tex]x=6.5~ units[/tex]
Step-by-step explanation:
[tex]x=\sqrt{13+29.25}[/tex]
[tex]= \sqrt{42.25}[/tex]
[tex]x=6.5[/tex]
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
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What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
Solve for x. Enter the solutions from least to greatest. (x + 1)^2 - 36 = 0 Lesser x=____ Greater x=____
Answer: [tex]-7\ \text{and}\ 5[/tex]
Step-by-step explanation:
Given
The equation is [tex]\left(x+1\right)^2-36=0[/tex]
Solving it
[tex]\Rightarrow \left(x+1\right)^2=36\\\\\Rightarrow \left(x+1\right)=\pm\sqrt{36}\\\\\Rightarrow x+1=\pm6\\\Rightarrow x=-7,5[/tex]
So, the lesser value of [tex]x[/tex] is [tex]-7[/tex] and the greater value is [tex]5[/tex].
Wich function has the greatest rate change.
Answer: A
Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.
Find the mean absolute deviation. Round to the nearest tenth.
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
REINFORCE Tickets to the zoo cost $18 for adults and $8.25 for children. One day, the zoo sold 2,300 tickets and collected $30,168 in ticket sales. How many children and how many adults attended the zoo that day? Write a system and solve it by graphing. Be sure to sketch you graph, give the solution, and define your variables.
Given:
The cost of adults ticket = $18
The cost of children's ticket = $8.25
Total tickets = 2300
Total revenue = $30,168.
To find:
The number of children and number of adults attended the zoo that day.
Solution:
Let x be the number of children and y be the number of adults.
Equation for tickets: [tex]x+y=2300[/tex] ...(i)
Equation for revenue: [tex]18x+8.25y=30168[/tex] ...(ii)
Plot the graphs of the given equations on a coordinate plane as shown below.
From the graph it is clear that the graph of both equations intersect each other at (1148,1152).
It means the number of adults is 1148 and the number of children is 1152.
It can be solved algebraically as shown below:
Substitute the value of y in (ii) from (i).
[tex]18x+8.25(2300-x)=30168[/tex]
[tex]18x+18975-8.25x=30168[/tex]
[tex]9.75x=30168-18975[/tex]
[tex]9.75x=11193[/tex]
Divide both sides by 9.75.
[tex]x=\dfrac{11193}{9.75}[/tex]
[tex]x=1148[/tex]
Putting [tex]x=1148[/tex] in (i), we get
[tex]1148+y=2300[/tex]
[tex]y=2300-1148[/tex]
[tex]y=1152[/tex]
Therefore, the number of adults is 1148 and the number of children is 1152.
There are 60 teachers in the school. 40 of them are from Ireland. What fraction of teachers are from Ireland?
Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
P + 3.89 = 19.74
Have a good weekend
Answer:
15.85
Step-by-step explanation:
P + 3.89 = 19.74
Subtract 3.89 from both sides to isolate the variable.
P = 15.85
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
If y varies directly with x and y = 28 when x = 4, what is y when x = 3?
Answer:
y=21
Step-by-step explanation:
Since x and y vary directly, they will be proportionate to each other. In this case, y is 7 times larger than x. We know this because 28/4=7. So, the equation that describes their relationship is y=7x. This means that to find y plugin x. Therefore, y=21 because y=7(3).
Pls help on this because im very confused.
Answer: 36?
Step-by-step explanation:
base times height is area and a square has all equal sides so 6*6