Answer:
total cost = amount paid + tax paid + tip
total cost = $23.40 + 1.872 + $3.51
Step-by-step explanation:
Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.
total cost = amount paid + tax paid + tip
tax paid = 8% x $23.40
0.08 x $23.40 = $1.872
tip = 15% x original bill
0.15 x $23.40 = $3.51
total cost = $23.40 + 1.872 + $3.51
Andre currently runs a total of 12 Miles each week. he plans to increase the number of miles he runs each week by a 1.5 miles until he is running a total of 26 miles each week. how many weeks will it take Andre to reach his goal?
Answer:
1.5x+12=26
Step-by-step explanation:
Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 130 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandth?
Answer:
0.460
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 129 calls
μ is the population mean = 130 calls
σ is the population standard deviation = 10 calls
Hence:
Z score = x - μ/σ
=129 - 130/10
=-0.1
Probability value from Z-Table:
For x less than 129 calls = x < 129
P(x<129) = 0.46017
Approximately to the nearest thousandth = 0.460
Therefore, the probability that during a given hour of the day there will be less than 129 calls, to the nearest thousandths is 0.460
Please solve with explanation
Answer:
Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)
Simplify (7a^2+2a−3)(4a^2−1).
28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3
Move all terms not containing m to the right side of the equation.
ma^3=8a^3
Divide each term by a3 and simplify.
m=8
Step-by-step explanation:
Hope to help you
which expression is equivalent to 6x*3 + 3y*2 - 5x*3 + 2y*2
Answer:
3x + 10y
Step-by-step explanation:
Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y
Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y
Solution: 3x + 10y
Jaxon is flying a kite, holding his hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. He measures the angle of elevation from his hand
to the kite to be 33. If the string from the kite to his hand is 150 feet long, how many
feet is the kite above the ground? Round your answer to the nearest hundredth of a
foot if necessary
Answer:
Step-by-step explanation:
As Jaxon holding his hands a distance of 2.5 feet above the ground.
means h1= 2.5 feet
elevation angle from the hand is 33° so ∅=33°
distance of kite from his hand is 150 feet
so from the image we can see , now
as we know that ,
Sin∅ =h2/150
Sin33°=h2/150
0.55 =h2/150 (Sin33°= 0.545)
so h2= 81.70 feet
so height from ground is (H)=h1+h2= 2.5+81.70
H=84.20 feet
The width of a rectangle is its length. The perimeter of the rectangle is 420 ft.
What is the length, in feet, of the rectangle?
Width=length
Let's assign a variable for the width, and call it x.
Since the width is equal to it's length, we can also call the length x.
The perimeter formula for a rectangle is 2(l+w).
Hope this helps!
Answer:
[tex]105ft[/tex]
Step-by-step explanation:
Since it's saying that the width of a rectangle is its length, that means all the sides of the rectangle are equal.
Since a rectangle has only 4 sides, we can divide the perimeter of the rectangle (420 ft) by 4 (sides)
Note: perimeter is the sum of all sides!
420 ÷ 4 = 105
Hope this helps!
find the range of this data set
247,366,785,998
Answer:
751
Step-by-step explanation:
998-247=751
Answer:
751
Step-by-step explanation:
To find the range, take the largest number and subtract the smallest number
998-247
751
If a bank offers a loan with 4.8% interest, What is the interest rate as a decimal?
Answer:
22,535.72
Step-by-step explanation:
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answer:
$120,000
Step-by-step explanation:
Provided that
The price of the new car is $750,000
And, the saving percent is 16%
We need to calculate out the saving amount for the deposit
Therefore, the saving amount is
= $750,000 × 16%
= $120,000
Basically we multiply these two things to each other in order to get the saving amount
Please hurry i need help and im stuck!!! helpsosososos
Answer:
2
Step-by-step explanation:
the x and y are being multiplied by 2 e.g. 1 × 2 is 2 and 2 × 2 is 4 so the constant is 2
Answer:
2
Step-by-step explanation:
y2-y1 4-2 2
-------- = --------- = ---------- = 2
x2-x1 2-1 1
What is the value of x in the figure?
A. 40
B. 70
C. 80
D. 120
E. 150
Answer:
E) 150°
Step-by-step explanation:
angle adjacent to 70° angle is 110°
the angle supplemental to 'x' must be 180-(40+110) or 30°
this means 'x' must be 150°
Select all of the expressions that are equivalent to 3(4x + 5y).
Answer:
3*4x+3*5y
12x+15y
2*3x*2+2*7.5y
Need Help ASAP Hurry
Answer:
Step-by-step explanation:
1) Impossible, a six sided die can't have 8 if it's six sided
2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible
3) Likely, there are more birds than other animals
4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws
Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
An experiment observing the growth of two germ strand populations finds these patterns.
• The population of the first germ is represented by the function A(t) = (1-3)*+8.
• The population of the second germ is represented by the function B(x) = (1.3)+2+1.
Which function best represents function R, the ratio of the population of the second germ to the population of the first germ?
OB. R(5)
OA. R(3) = (1.3)65 +10
(2.6)85-8
oc R(x) = (1.3)31–0
OD. R() = (2.6)4+2+
Answer:
[tex]R(x) = (1.3)^{3x-8}[/tex]
Step-by-step explanation:
Given
[tex]A(x) = (1.3)^{x + 9}[/tex]
[tex]B(x) = (1.3)^{4x + 1}[/tex]
Required
Ratio B(x) to A(x)
This is calculated as:
[tex]R(x) = B(x) : A(x)[/tex]
Express as fraction
[tex]R(x) = \frac{B(x) }{A(x)}[/tex]
Substitute: [tex]A(x) = (1.3)^{x + 9}[/tex] and [tex]B(x) = (1.3)^{4x + 1}[/tex]
[tex]R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}[/tex]
Apply law of indices
[tex]R(x) = (1.3)^{4x-x+1-9}[/tex]
[tex]R(x) = (1.3)^{3x-8}[/tex]
If tests are worth 60% of your grade, and you have a 76.8% in that class, and you fail that test, what will be your grade?
Answer:
70
Step-by-step explanation:
it depends on the grade you make, so if you were to make a 65.47, your grade would be a 70, so any grade less than 70 should be the answer, hope this helps!
help me plzz i give you a barinlist
Answer:
The missing point is (3, -6)
Step-by-step explanation:
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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8. Paper is sold in packages of different sizes. Which package
has the lowest cost per sheet?
A $1.00 for 150 sheets
b $1.20 for 200 sheets
C $2.50 for 500 sheets
D$5.50 for 1000 sheets
Answer:
C)
Step-by-step explanation:
D) = 0.0055
C) = 0.005
B) = 0.0075
A) = 0.006666667
(Max Points) Do not answer if you’re not 100% sure. I’ll report if wrong.
Answer:
B. 3/7 + 3r = 1Step-by-step explanation:
Job can be determines as:
Job = time*rateWe have:
Time 3 hours and Rates 1/7 and rSum of the parts completed by both Rocco and Giulia gives the job, which is considered as a whole or 1:
1 = 3(1/7 + r)1 = 3/7 + 3ror
3/7 + 3r = 1Correct choice is B
Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3
Answer:
69
Step-by-step explanation:
69
if abc = dbe solve for x
Answer:
x = 50
Step-by-step explanation:
<c = <e so:
5y - 4 = 76
5y = 80
y = 16
<c = 76
All triangle interior angles add up to 180 so:
x + 8 + 46 + 76 = 180
x + 130 = 180
x = 50
33/23 as a decimal rounded to the nearest tenth?
Answer:
1.4
Step-by-step explanation:
33/23 = 1.434 ≈ 1.4 (rounded to the nearest tenth)
The answer is 1.43
What is a improper fraction?An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 3/2 is an improper fraction, but 2/3 is a proper fraction, whose denominator is greater than the numerator.
Given here: The fraction 33/23 which is roughly equivalent to 1.43
We know, To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction. And To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.
Thus 1.43=33/23
Hence, The answer is 1.43
Learn more about fractions here:
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Find the multiplicative inverse of -1 x -2/5
Answer:
Step-by-step explanation:
For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.
For more help visit:
https://byjus.com/maths/multiplicative-inverse/
Which of these quadrilaterals can have two sides with length 8 cm and two sides with length 3 cm? Select all that apply. Rectangle Rhombus Square Parallelogram Trapezoid
Answer: Rectangle
Rhombus
Parallelogram
Step-by-step explanation:
A rectangle has four sides and the opposite sides are equal.
A rhombus is simply a flat shape that has 4 equal straight sides and the sides have equal length.
A square has all the four sides equal.
A parallelogram is a quadrilateral that has two pairs of parallel sides. It should be noted that the opposite sides of the parallelogram have equal length.
A trapezoid doesn't have two sides with equal lengths. Therefore, the correct answer to the question will be:
• Rectangle
• Rhombus
• Parallelogram
which one is it? please help
What is the equation of a circle with center (-3, -5) and radius 4?
Answer:
The choose (A)
A- (x+3)²+(t+5)²=16
Answer:
A (x + 3)^2 + ( y + 5 )^2 = 16
Step-by-step explanation:
The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2
( h , k ) represent the coordinates
r represents the radius
Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2
2 negatives make a positive
So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16
You also need to make sure you square the radius
Please help me this is 50% of my grade
its A
because 2.26 x 2.7 = 6.102 which is closest to 6
what is organ system???
Answer:
An organ system is a group of organs that work together to perform one or more functions. Each organ has a specialized role in a plant or animal body, and is made up of distinct tissues.
#Carry on learning
#mark a brainlies
[tex] - heaven[/tex]
HELP ILL GIVE BRAINLIEST
Answer:
1
Step-by-step explanation:
m= y/x =5/5= 1
__________