Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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Nvm I found the answer
What is the volume of the right rectangular prism?
5 m
10 m
5 m
75 m 3
125 m
3
200 m 3
3
250 m
Answer: 250m 3
Step-by-step explanation:
The base multiplied is 50m and the height is 5m, so, 50 x 5 = 250.
The whole question though, is just multiplication.
10m x 5m = 50m
50m x 5m = 250m
Also, since there are 3 different numbers in this problem, the metric unit would be typed as "m 3"
Your answer would be 250m 3
PLEASE HELP AND DONT STEAL OR GUESS I NEED HELP
Answer:
71 degrees
Step-by-step explanation:
Use tangent to find x.
tantheta = opposite/adjacent
tan(x) = 130/45
x = tan^-1 (130/45)
x = 70.9
Round to nearest degree = 71 degrees
- 3X + 6Y = 0 and x+7y=9
(c2−4c+7) -(7c2−5c+3).
The required solution for the given expression (c² - 4c + 7) - (7c² - 5c + 3) is -6c² + c + 4.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
(c² - 4c + 7) - (7c² - 5c + 3)
Simplify the expression by solving bracket terms,
c² - 4c + 7 - 7c² + 5c - 3
Further, solve the expression by using mathematical operations,
-6c² + c + 4
The solution for the given expression is -6c² + c + 4.
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NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!!!!
** And please look at the picture and answer the answer choices ONLY**
Tyler has two cube-shaped storage spaces in apartment building, one large and one small.
Answer:
\(s^{3}+12\)
Step-by-step explanation:
An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled
The two tanks differ in terms of Filling rates and initial volumes.
We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).
The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.
To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.
If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.
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Please help. Will give brainlist if correct
Answer:
C
Step-by-step explanation:
When you divide, just subtract the exponents
Answer:
The correct answer is C.
Step-by-step explanation:
-\(5^{7} \)÷ -\(5^{2} \) = 3125
5 × 5 × 5 × 5 × 5 = 3125
According to a salad recipe each serving require 6 teaspoons of vegetable oil and 9 teaspoons of vinegar and 24 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.
According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:
First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):
9 ÷ 6 = 1.5
This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:
1.5 ÷ 1 = 1.5
(teaspoons of oil per 1 teaspoon of vinegar)
24 ÷ 1.5 = 16
(teaspoons of vinegar needed)
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Write an equation that helps D'angela determine the amount of money she must save each month to 500$ in her saving account
The equation that helps her is $65 + 5m = $500. D'angela must save $87 each month for the next 5 months to reach her goal of having $500 in her savings account.
What is system of equation?A group of equations that must be solved simultaneously is referred to as a system of equations. The variables in the equations are interconnected, and the set of values for the variables that satisfy all of the system's equations is the solution. Depending on whether the equations feature linear or nonlinear interactions between the variables, a system of equations can be either linear or nonlinear. A vast range of phenomena, including physical systems, economic systems, and social systems, are modelled using systems of equations, which appear in many branches of mathematics and science.
Let us suppose the amount of money saved by her = m.
The, for 5 months the amount saved is = 5m.
Given an initial deposit of $65, we have the equation of total amount as:
T = $65 + 5m
Now, she needs to save $500 thus,
$65 + 5m = $500
5m = $500 - $65
5m = $435
m = $87
Hence, D'angela must save $87 each month for the next 5 months to reach her goal of having $500 in her savings account.
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The complete question is:
20. Which value of x makes the inequality
3x 27 true?
A. x=8
B. x =10
C. X=12
D. x 14
Hey there!
3x = 27
DIVIDE 3 to BOTH SIDES
3x/3 = 27/3
CANCEL: 3/3 because it give you 1
KEEP: 27/3 because it help solve for the x-value
NEW EQUATION: x = 27/3
SIMPLIFY IT!
x = 9
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
HELP PLEASE ONCE MORE
Answer:
40 cubic units
Step-by-step explanation:
16x 3 = 48
48- 8 is 40
Help me with this question please give The Plan and Proof FIRST ANSWER GETS BRAINLIST
The two triangles are congruent by ASA congruence
angle a is equal to angle c as given
angle 1 is equal to angle 2 because they are vertically opposite
ab and bc are equal because b is the mid point of ac
so therfore abd is congruent to cbe by asa congruence
and by cpct we will get that
bd is equal to be
ad is equal to ec
Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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What’s the correct answer answer asap for brainlist
If UW = 25 - 35 and UY = S, find the value
of s that makes quadrilateral VWXY a
parallelogram.
\(\\ \tt\hookrightarrow UW=UY\)
\(\\ \tt\hookrightarrow 2s-35=s\)
\(\\ \tt\hookrightarrow 2s-s=35\)
\(\\ \tt\hookrightarrow s=35\)
Answer:
s = 35 unitsStep-by-step explanation:
We know that:
Rectangle = ParallelogramUW = 2s - 35UY = sUW = UYSolution:
2s - 35 = s=> 2s - s = 35=> s = 35 unitsHence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.
what are equivalent fractions 1 2/3 1 2/3
3. A new restaurant has been open for 6 days. The owner is tracking the number of customers served for these 6 days (day 1, 2, 3, 5, and 6). She determines the least regression equation estimating the number of customers on a given day is y = 1.03x + 229.4. If thus far the restaurant has been making a net profit of $5.82, on average per customer, which of the following statements is correct? OA. On day 7, the owner can expect 15 more customers than she has served on day 6. B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7. C. On day 12, the owner can expect a net profit of $1,300. D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.
In conclusion, none of the given statements are correct based on the information provided.
To determine the correct statement, let's analyze the given information and the regression equation:
The regression equation for estimating the number of customers on a given day is y = 1.03x + 229.4, where x represents the day number and y represents the number of customers served.
We are also given that the restaurant has been making a net profit of $5.82, on average per customer:
Now let's evaluate each statement:
A. On day 7, the owner can expect 15 more customers than she has served on day 6.
To determine the number of customers on day 7, we substitute x = 7 into the regression equation:
y = 1.03(7) + 229.4 = 7.21 + 229.4 = 236.61
So, the number of customers on day 7 is approximately 237, which is not 15 more than the number of customers served on day 6.
Therefore, statement A is incorrect.
B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7.
To calculate the net profit on day 7, we need to multiply the average net profit per customer ($5.82) by the number of customers on day 7:
Net profit on day 7 = $5.82 \(\times\) 237 ≈ $1,379.34
So, statement B is incorrect as the net profit on day 7 is not expected to be $1,377.
C. On day 12, the owner can expect a net profit of $1,300.
Since the question only provides information about the number of customers served for the first 6 days, we cannot determine the net profit on day 12.
Therefore, statement C is incorrect.
D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.
To calculate the net profit for days 6 and 7 combined, we need to calculate the number of customers on both days using the regression equation and then multiply it by the average net profit per customer.
Let's substitute x = 6 into the regression equation:
y = 1.03(6) + 229.4 = 6.18 + 229.4 ≈ 235.58
Now, let's calculate the net profit for days 6 and 7 combined:
Net profit on days 6 and 7 = ($5.82 \(\times\) 235) + ($5.82 \(\times\) 237) ≈ $2,735.2
Comparing this to the earned net profit on day 1, we cannot determine if it is less or greater without the information provided.
Therefore, statement D is incorrect.
In conclusion, none of the given statements are correct based on the information provided.
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Simplify (4x5y³)(-3x³y²).
O-12x³y5
Ox³y5
O-12x³y6
O-12x¹56
***
Answer:
-12x^4y^5
Step-by-step explanation:
When multiplying equal bases, add the exponents.
Remember that in a simple expression such as x, the exponent is 1.
(4x5y³)(-3x³y²) = -12x^4y^5
What is the area trapezoid ABCD A(-1,5) B(3,2) C(0,-2) D(-13,-11)
Answer:
62.5
Step-by-step explanation:
slope of AB = (5-2)/(-1 - 3) = -3/4
slope of BC = (2 - -2)/(3-0) = 4/3
AB ⊥ BC (slope -3/4 vs 4/3)
seg AB = √(-1 - 3)² + (5 - 2)² = √25 = 5
seg BC = √(3 - 0)² + (2 - -2)² = √25 = 5
seg AD = √(-1 - -13)² + (5 - -11)² = √400 = 20
Area (BC + AD) * AB / 2 = (5 + 20) * 5 / 2 = 62.5
samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?
Answer:
Final mixture is 120 gm
x = 10% then (120-x) = 25%
.25(120-x) + .1 (x) = .15 (120) solve for x= 10% amount
then 25% amount = 120-x
Step-by-step explanation:
Use vectors to find the interior angles (in degrees) of the triangle with the given vertices. (Round your answers to two decimal places.)
1. Find the vector between each pair of vertices:
To make it more easy give to each vertex a letter:
A(1,3)
B(3,5)
C(2,6)
\(\begin{gathered} \vec{AB}=(3,5)-(1,3) \\ \vec{AB}=(3-1,5-3) \\ \vec{AB}=(2,2) \end{gathered}\)\(\begin{gathered} \vec{BC}=(2,6)-(3,5) \\ \vec{BC}=(2-3,6-5) \\ \vec{BC}=(-1,1) \end{gathered}\)\(\begin{gathered} \vec{CA}=(1,3)-(2,6) \\ \vec{CA}=(1-2,3-6) \\ \vec{CA}=(-1,-3) \end{gathered}\)2. Find the magnitude of each vector:
\(\begin{gathered} \lvert{AB}\rvert=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8} \\ \lvert{BC}\rvert=\sqrt{(-1)\placeholder{⬚}^2+1^2}=\sqrt{1+1}=\sqrt{2} \\ \lvert{CA}\rvert=\sqrt{(-1)\placeholder{⬚}^2+(-3)\placeholder{⬚}^2}=\sqrt{1+9}=\sqrt{10} \end{gathered}\)3. Fid the dot product beween each pair of vectors:
\(\begin{gathered} \vec{AB}\cdot\vec{BC}=2*-1+2*1=-2+2=0 \\ \vec{AB}\cdot\vec{CA}=2*-1+2*-3=-2-6=-8 \\ \vec{CA}\cdot\vec{BC}=-1*-1+-3*1=-1-3=-4 \end{gathered}\)4. Use the next formula to find the angle betweeen two vectors:
\(\theta=\cos^{-1}(\frac{a\cdot b}{\sqrt{a}\cdot\sqrt{b}})\)Angle between AB and BC:
\(\begin{gathered} \theta=\cos^{-1}(\frac{0}{\sqrt{8}\cdot\sqrt{2}}) \\ \\ \theta=\cos^{-1}(0) \\ \\ \theta=90º \end{gathered}\)Angle between AB and CA:
\(\)Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
what is the average rate of change for this quadratic function fo rate interval from x=-4 to x=-2
Answer:
ill edit my comment later but is there a graph? its not enough info
Step-by-step explanation:
not enough info i think
Find the slope of the line graphed below.
Answer:
m=3/4
Step-by-step explanation:
slope formula= change in y over change in x
4-1/2-(-2)=3/4
Answer:the slope is 4/3 or 1 1/3 or 1.333333333
Step-by-step explanation:2-(-2)/4-1=4/3
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (Round to two decimal places if necessary.)
Solving a system of equations we will see that we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.
How many liters of each solution do we need to use?
First, we need to define the variables:
x = liters of the 35% acid used.y = liters of the 80% acid used.We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use 40 liters of the 80% acid solution, and the other 20 liters are of the 35% acid solution.
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What is the equation in slope-intercept form for the line that passes
through the points (1, 2) and (3, 4)?
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation: