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Your car needs new brakes. You call a dealership and a local mechanic for prices. Cost of parts Labor cost per hour Dealership $24 $99 Local mechanic $45 $89 a. After how many hours are the total costs the same at both places
Answer:
The indifference point is 2.1 hours.
Step-by-step explanation:
First, we need to calculate the total cost for each option:
Dealership:
Total cost= 24 + 99x
Local mechanic:
Total cost= 45 + 89x
x= number of hours
Now, we need to equal both formulas and isolate x:
24 + 99x = 45 + 89x
10x = 21
x= 2.1
The indifference point is 2.1 hours.
Prove:
Total cost= 24 + 99*2.1= $231.9
Total cost= 45 + 89*2.1= $231.9
Need help :) will give brainless ⭐️!!
Answer:
The answer is B.
Step-by-step explanation:
Counted 8 down and 5 to the right.
Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Lets see whos smart
100 + 50 × 10 =
Answer:
600
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
100 + 50 × 10
Step 2: Evaluate
Multiply: 100 + 500Add: 600Subtract. (a + 2b) – (3a – b)
4a + 3b
–2a + 3b
–2a + b
4a – b
Answer:
-2a+3b...............
I need to find the equation of the graphed line.
Answer:
y=-x-7
Step-by-step explanation:
So the line goes down one unit for every unit it goes to the left.
Slope is rise over run which would be -1/1 (simplify to -1)
The line crosses the y axis at -7
So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7
You don't have to include the one in -1x because its the same as saying -x
Answer: 20-w33
Step-by-step explanation:
So easy yaar! SO. EASY!
Just find the slope by connecting the megapixel by the hardrive!
Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!
Don't forget to comma the C's and capitalize the G's!
Log8(2)+3log8(2)+1/2log8(16)
Answer:
14.4494397919
Step-by-step explanation:
What is the percent of decrease from 100 to 68?
Answer33 percent
Step-by-step explanation:
just subtract 68 from 100
Answer:
32
Step-by-step explanation:
100-68 =32 hope this will help u
The ratio of large blocks to small blocks is 6:5. There are 3 more large blocks than small blocks. How
many small blocks are there?
Answer:
4 small blocks
Step-by-step explanation:
Solve the equation
18t + 11v = w – 13t for t.
Step-by-step explanation:
[tex]18t \: + 11v = w - 13t[/tex]
[tex]18t + 13t = w - 11v[/tex]
[tex]31t \: = w = - 11v[/tex]
[tex]t \: = \frac{w - 11v}{31} \\ [/tex]
simplify the expression x(2y + z - 7)
Answer:
2xy+xz-7x
Step-by-step explanation:
Answer:
2yx + xz - 7x
Step-by-step explanation:
x(2y + z - 7)
distribute
(x * 2y) + (x * z) + (x * -7)
2yx + (x * z) + (x * -7)
2yx + xz + (x * -7)
2yx + xz + -7x
2yx + xz - 7x
A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the surface area of the prism includes the areas of all the sides and the bases, what value of s minimizes the surface area of the prism
Answer:
10
Step-by-step explanation:
The required value of s to minimize the surface area of the prism is given as 10.
What is a triangular prism?A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.
The given problem can be solved as follows,
The expression for the volume of the prism is given as,
V = √3/4 × s²h
Substitute V = 250 to obtain,
250 = √3/4 × s²h
⇒ s²h = 1000/√3 (1)
And, the expression for the surface area is given by,
A = 3 × sh + √3/4s²
Substitute h = 1000/(√3s²) in the above equation to obtain,
A = 1000√3/s + √3/4s²
In order to get the minimum area differentiate A with respect to s and equate it to zero to get,
dA/ds = 0
⇒ √3/2s - 500√3/s² = 0
⇒ s = 10
Hence, in order to minimize the area the the value of s is obtained as 10.
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What is the reciprocal of 3 1/3
Answer:
I believe the answer is 0.3
Answer:
0.3
Step-by-step explanation:
Identify a, b, and c in this equation.
3x (squared) + 4x + 2 = 0
Please hurry!
Answer:
A is 3 B is 4 and C is 2
Step-by-step explanation:
this is most likely right unless your usong a diffrent formula
What‘s 1+1? ;);) have a good day :)
Answer: 2 :))
Step-by-step explanation: hope you also have a good day!!
Answer:
the correct answer would be 2
Step-by-step explanation:
have a good day also
Can Somebody please help me?
One large bucket of popcorn at the theater weighs 17.3 ounces. What is the weight of 20 buckets of popcorn in ounces
Answer:
346 ounces
Step-by-step explanation:
17.3 times 20
4x – 13 < 11
Help!! Please
Answer:
x<6
Step-by-step explanation:
1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
their meal. The family then leaves a 20% tip.
a. How much did the family spend on the meal after the coupon?
b. How much did the family spend on the meal in total?
[tex]42 - 42 \times 15\%[/tex]
[tex] =42 - 42 \times \frac{15}{100} [/tex]
[tex] =42 - 21 \times \frac{15}{50} [/tex]
[tex] =42 - \frac{315}{50} [/tex]
[tex] = 42 - 6 \: \frac{15}{50} [/tex]
[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]
[tex] = 35 \: \frac{35}{50} [/tex]
[tex] = 35.70[/tex]
Answer:The family did spend $35.70 on the meal after the coupon
b.Solution:[tex]35.70 + 42 \times 20\%[/tex]
[tex] = 35.70 + 42 \times 0.2[/tex]
[tex] = 35.70 + 8.4[/tex]
[tex] = 44.10[/tex]
Answer:The family did spend $44.10 on the meal in total.
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A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full
Answer: 16,000 litres
Step-by-step explanation:
1/16 of the pool is 2000l
8/16 full is 1/2 of the pool full
1/16 = 2000
8/16 = x
Cross multiply
1/16x = 2000 × 8/16
1/16x = 1000
Multiply both sides by 16
x = 16000
To make the pool half full, 16,000 litres is required.
16000 liters of water is required to make the pool half full.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
A swimming pool containing 2000l of water is 1/16 full.
We have to calculate the amount of water required to make the pool half full.
Let x be the liter of water required to make the pool half full.
Using proportional concept,
2000 : 1/16 = x : 1/2
This can be written as,
2000 / (1/16) = x / (1/2)
2000 × 16 = 2 x
x = (2000 × 16) / 2
x = 16000
Hence it would require 16000 liters of water to make half full pool.
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Can someone please help me
Answer:
no nononononmonno
Step-by-step explanation:
jahgajahahahhahahahahhavdbsvfbsbdvdv
need help thanks in advance
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-3
Step-by-step explanation:
subtract 6 by both sides
then divide by -2
Answer:
-y + 6 = -122y + 6 _ 6 = -12 _ 62y/2 = -6/2y = -3Step-by-step explanation:
I hope it helps ❤❤GIVING 25 POINTS PLS HELP
Answer:
ok lol
Step-by-step explanation:
What is 2 4/5 x -5 2/3
Answer:-15 13/15
Step-by-step explanation:2 4/5× -5 2/3=14/5 ×-17/3=-238/15
What is the definition of Budget Matrix?
Step-by-step explanation:
Matrix budgeting is a model developed to evaluate where your additional money goes or should go, and it helps to manage personal finances. Also called as a budget matrix, it's a plan or a blueprint in chart or table form designed to allocate financial resources in the ranking order of your goals and priorities.
In the above quadrilateral ABCD,
AD || EF || BC and
|AE| = 2 EB, BM = 4, |AD = 6, BC| =
, 9
Then DO
Answer:
The length of segment [tex]\overline{DO}[/tex] is [tex]\displaystyle \frac{24}{5}[/tex].
Step-by-step explanation:
Start by verifying that [tex]\triangle DAB \sim \triangle MEB[/tex], and that [tex]\triangle DOA \sim \triangle BOC[/tex].
Both [tex]\triangle DAB[/tex] and [tex]\triangle MEB[/tex] contain the angle [tex]\angle DBA[/tex]. Hence, another pair of equal angles will be sufficient to prove [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice that because [tex]\overline{AD} \; \| \; \overline{EF}[/tex], the corresponding angles next to those two lines would be equal: [tex]\angle MEB = \angle DAB[/tex]. Both [tex]\angle MEB[/tex] is in [tex]\rm \triangle MEB[/tex] whereas [tex]\angle DAB[/tex] is in [tex]\triangle DAB[/tex].
Hence, [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice how [tex]\angle DOA[/tex] in [tex]\triangle DOA[/tex] and [tex]\angle BOC[/tex] in [tex]\triangle BOC[/tex] are two vertically opposite angles (and are thus equal to one another.) That is: [tex]\angle DOA = \angle BOC[/tex].
Because [tex]\overline{AD} \| \overline{BC}[/tex], the alternate interior angles [tex]\angle DAO[/tex] and [tex]\angle BCO[/tex] are also equal to one another. That is: [tex]\angle DAO = \angle BCO[/tex]
Hence, [tex]\triangle DOA \sim \triangle BOC[/tex], also by the angle-angle similarity postulate.
Notice that [tex]\triangle DAB \sim \triangle MEB[/tex] implies that:[tex]\begin{aligned} & \frac{\left| \overline{BM} \right|}{\left| \overline{BD} \right|} \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AB}\right|} && (\triangle MEB \sim \triangle DAB) \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AE}\right| + \left|\overline{EB}\right|} \\ &= \frac{\left|\overline{EB}\right|}{2\, \left|\overline{EB}\right| + \left|\overline{EB}\right|} && (\text{given that $\left|\overline{AB}\right| = 2\,\left|\overline{EB}\right|$})\\ &= \frac{1}{3}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}&\left|\overline{BD}\right|\\ &= 3\, \left|\overline{BM}\right| \\ &= 12\end{aligned}[/tex].
Similarly, [tex]\triangle DOA \sim \triangle BOC[/tex] implies that:
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right|} &= \frac{\left|\overline{AD}\right|}{\left|\overline{BC}\right|} && (\triangle DOA \sim \triangle BOC) \\ &= \frac{6}{9} = \frac{2}{3}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \left|\overline{BO}\right|= \frac{3}{2}\, \left|\overline{DO}\right|[/tex].
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BD} \right|} &= \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right| + \left| \overline{DO} \right|} \\ &= \frac{\left| \overline{DO} \right|}{(3/2)\, \left| \overline{DO} \right| + \left| \overline{DO} \right|} = \frac{2}{5}\end{aligned}[/tex].
It was already found that [tex]\left|\overline{BD}\right| = 12[/tex]. Therefore:
[tex]\displaystyle \left|\overline{DO}\right| = \frac{2}{5}\, \left|\overline{BD}\right| = \frac{24}{5} = 4.8[/tex].
Select the correct answer. A company’s monthly profit, y, in relation to the number of salespeople employed, x, is shown on the graph. Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
A.
55
B.
50
C.
37
D.
25
Answer: 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
Rounded to the nearest tenth of a cubic foot, what is
the volume of the robot's body?
You are taking a vocational course in night school. The
group you belong to is building a robot made of tin.
Your task is to build the cylindrical body of the robot.
The cylindrical body must have a height of 2 feet and a
radius equal to 1 of the body's height.
00.4
1.6
O 3.1
6.3
9.9
Answer:
the answer is 3.1
Step-by-step explanation:
If a = 10, then what is the value of 6a + 15?
Answer:
75
Step-by-step explanation:
6(10)+15
60+15
Answer:
75
Step-by-step explanation:
Substitution:
6a+15 (a=10)
6*10+15
60+15
75