Answer:
(100/t) minutes
Step-by-step explanation:
Craig's rate can be written as (5 minutes/t pages). This is a conversion factor. This means we can also invert the factor to (t pages/5 minutes), if desired. A conversion factor tells us the that top value is equal to the bottom value, such as 12 inches/1 foot. This can be inverted to 1 foot/12 inches.
We want to know how many minutes Craig needs to type 20 pages. Assuming no distractions, we can use the conversion factor.
We can write: (20 pages)*(5 minutes/t pages)
(20 pages)*(5 minutes/t pages)
(20 )*(5 minutes/t ) [The pages unit cancels]
(100/t) minutes
====
We don't know the value of t, so the result must include t. If t happens to be 2 pages, for example, it would take Craig (100/2) or 50 minutes, to type 20 pages.
Find the surface area of the triangular prism. ______ square centimeters
Step-by-step explanation:
there is answer in the image above
The next model of a sports car will cost 5. 2% more than the current model. The current model costs $57,000. How much will the price increase in dollars? What will be the price of the next model?
The price of the next model will be $59,964, and the price increase will be $2,964.
How much will the price increase in dollars?To calculate the amount of the price increase, we need to multiply the current price by the percentage increase:
Price increase = 5.2% * $57,000
Price increase = 0.052 * $57,000
Price increase = $2,964
So, the price of the next model will be:
Next model price = $57,000 + $2,964
Next model price = $59,964
Hence, the price of the next model will be $59,964, and the price increase will be $2,964.
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a
Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.
Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.
From the given information, we can set up the following equations:
Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)
Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)
We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.
Let's calculate the determinants:
D = determinant of the coefficient matrix
Dx = determinant of the matrix obtained by replacing the x column with the constants
Dy = determinant of the matrix obtained by replacing the y column with the constants
Using Cramer's rule, we can find the values of x and y:
x = Dx / D
y = Dy / D
Now, let's calculate the determinants:
D = (0.5)(10) - (0.7)(8) = -1.6
Dx = (16.5)(10) - (0.7)(246) = 150
Dy = (0.5)(246) - (16.5)(8) = -18
Finally, we can calculate the values of x and y:
x = Dx / D = 150 / (-1.6) = -93.75
y = Dy / D = -18 / (-1.6) = 11.25
However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:
x ≈ -94 (rounded to -94)
y ≈ 11 (rounded to 11)
Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
for such more question on litres
https://brainly.com/question/27877215
#SPJ8
Question
Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).
Which of the expressions below are equal to 8x² + 30x + 18?
Select all that apply.
A) (4x + 3) (2x + 6)
B) 6x² + 20x + 2x² + 10x + 18
C) 2(4x² + 15x + 9)
D) 4(2x² + 7x + 4)
Answer:
A, C, and D
Step-by-step explanation:
A) (4x + 3) (2x + 6) is equal to 8x² + 30x + 18 because when you multiply two binomials, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, (4x + 3) (2x + 6) can be rewritten as (4x)(2x) + (4x)(6) + (3)(2x) + (3)(6). This can further be simplified to 8x² + 24x + 18.
C) 2(4x² + 15x + 9) is equal to 8x² + 30x + 18 because when you multiply a number by a binomial, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, 2(4x² + 15x + 9) can be rewritten as 2(4x²) + 2(15x) + 2(9). This can further be simplified to 8x² + 30x + 18.
D) 4(2x² + 7x + 4) is equal to 8x² + 30x + 18 because when you multiply a number by a binomial, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, 4(2x² + 7x + 4) can be rewritten as 4(2x²) + 4(7x) + 4(4). This can further be simplified to 8x² + 28x + 16.
Find the equation of the line.
Use exact numbers.
y = __x+__
Need 1- 5 done by 7 hours if you can’t do them at least do one and show me how you got the answer thank you :)
Answer:
For #5: There are 3 children and 4 adults.
Step-by-step explanation:
Let x= number of children
y= number of adults
y = x + 1
x + y = 7
x + (x+1) = 7
x + x + 1 = 7
2x + 1 = 7
2x = 7 - 1
2x = 6
x = 6/2
x = 3
y = x + 1
y = 3 + 1
y = 4
Therefore, the number of children is 3 and the adults are 4.
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
A tabletop in the shape of a trapezoid has an area of 5,700 square centimeters. its longer base measures 135 centimeters, and the shorter base is 105 centimeters. what is the height? the height of the tabletop is centimeters.
Answer:
47.5 cm
Step-by-step explanation:
You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².
AreaThe formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
Filling in the given values, we have ...
5700 = 1/2(135 +105)h
5700 = 120h
h = 5700/120 = 47.5
The height of the tabletop is 47.5 cm.
<95141404393>
please help solve h(t) =-16t^2+40t+20
Answer: el último
Step-by-step explanation:
i need to find the area of this cylinder can you help me
The calculated value of the surface area of the cylinder is 652.94 square cm
From the question, we have the following parameters that can be used in our computation:
Height, h = 12 cm
Radius, r = 6 cm
Using the above as a guide, we have the following:
SA = 2πr(r + h) * 3/4 + 2 * area of rectanglt
Substitute the known values in the above equation, so, we have the following representation
SA = 2π * 6(6 + 12) * 3/4 + 2 * 6 * 12
Evaluate
SA = 652.94
Hence, the surface area of the cylinder is 652.94 square cm
Read more about surface area at
https://brainly.com/question/16519513
#SPJ1
9. Determine the 6-day SMA for the 10-consecutive-trading-day closing
prices for SunEdison Inc. listed below.
$2.65 $2.63 $2.70 $2.63 $2.50 $2.65 $2.66 $2.56 $2.52 $2.37
The 6-day SMA for the given closing prices is as follows:
Day 1: 2.63
Day 2: 2.63
Day 3: 2.61
Day 4: 2.59
Day 5: 2.54
Calculating Simple Moving Average (SMA)To calculate the 6-day Simple Moving Average (SMA) for the given closing prices, we need to take the sum of the last six closing prices and divide it by 6. Then we move one day forward and repeat the process until we have calculated the SMA for each day.
Here are the calculations:
Day 1: SMA = (2.65 + 2.63 + 2.70 + 2.63 + 2.50 + 2.65) / 6 = 2.63
Day 2: SMA = (2.63 + 2.70 + 2.63 + 2.50 + 2.65 + 2.66) / 6 = 2.63
Day 3: SMA = (2.70 + 2.63 + 2.50 + 2.65 + 2.66 + 2.56) / 6 = 2.61
Day 4: SMA = (2.63 + 2.50 + 2.65 + 2.66 + 2.56 + 2.52) / 6 = 2.59
Day 5: SMA = (2.50 + 2.65 + 2.66 + 2.56 + 2.52 + 2.37) / 6 = 2.54
Therefore, the 6-day SMA for the given closing prices is as follows:
Day 1: 2.63
Day 2: 2.63
Day 3: 2.61
Day 4: 2.59
Day 5: 2.54
Learn more on SMA ( Simple Moving Average ):
https://brainly.com/question/18689981
#SPJ1
The area of Australia is 2.95 × 106 square miles. What is the approximate average number of people per square mile in Australia? Round to the nearest person
Answer:
9 people per square mile
Step-by-step explanation:
Given that:
Area of Australia = 2.95 * 10^6 mi²
Approximate average Number of people per square mile :
This can be obtained by taking the proportion of the population of Australia and the Area of the land mass
Approximate population of Australia : 25,499,884 ( data obtained from internet)
Average number of people per square mile :
Approximate population / Land Area
25,499,884 / 2.95 * 10^6
= 8.6440284
Hence, there will be approximately 9 people per square mile.
A town has a population of 13000 and grows at 4. 5% every year. What will be the population after 13 years, to the nearest whole number?.
Growth rate is the percentage change of the variables in the specific time span. The population of the town after the 13 years will be 23039.
Given information
The current population of the town is 13,000.
The growth rate of the town is 4.5 percent every year.
Growth rateGrowth rate is the percentage change of the variables in the specific time span.
The population after the 13 year with growth rate 4.5 percent can be calculated with the following formula,
\(P=13000\times\left (1+\dfrac{4.5}{100} \right )^{13}\\ P=13000\times\left (\dfrac{104.5}{100} \right )^{13}\\ P=13000\times\left (1.045 \right )^{13}\\ P=23038.55\)
Thus the population of the town after the 13 years will be 23039.
Learn more about the growth rate here;
https://brainly.com/question/13870574
ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
Learn more about Graphs and inequality here,
brainly.com/question/16608196
brainly.com/question/17448505
May i get some help please
Answer:
\(\huge\boxed{\sf 995.4 in.\²}\)
Step-by-step explanation:
Area of the circle:
= πr²
Where r = 21 in.
= (3.14)(21)²
= (3.14)(441)
= 1385.4 in.²
Area of triangle:
= \(\sf \frac{1}{2} (Base)(Height)\)
Where Base = 20 in. , Height = 39 in.
= \(\sf \frac{1}{2} (20)(39)\)
= (10)(39)
= 390 in.²
Area of the shaded region:
= Area of the circle - Area of the triangle
= 1385.4 - 390
= 995.4 in.²
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807I am confused. My math question is: -59 = -u/9.
Simplify your answer as much as possible.
Step 1: Multiply both sides by 9. (This will cancel out the denominator in -u/9.)
-59 × 9 = -531
and \(\frac{-u}{9}\) × 9 = -u
Step 2: Whenever both sides of an algebraic equation are negative, you can remove the negative signs and re-write the equation:
Final Answer: u = 531
Anne goes out to lunch every Friday. On average she spends around $18 each time. How much money can she save in one year if she stops going out for lunch each week?
Answer:52x18=936$
Step-by-step explanation:
have a total of 52 weeks in a year, save $18 each week, multiply $18 by the number of weeks in a year and then you get the answer
what does the histogram in figure 2.16 say about whether the empirical rule should be used to describe the bank customer waiting times?
The histogram in Figure 2.16 shows that the distribution of waiting times is skewed to the right and not symmetrical.
Histograms are visual representations of the distribution of a dataset.
In order to determine whether the empirical rule is appropriate for describing the distribution of bank customer waiting times, we need to examine the histogram in Figure 2.16.
Looking at the histogram, we can see that the distribution of waiting times is not perfectly symmetrical.
The shape of the histogram is not exactly bell-shaped, which is what we would expect if the data were normally distributed. Instead, it is skewed to the right.
In conclusion, the histogram in Figure 2.16 indicates that the empirical rule is not appropriate for describing the distribution of bank customer waiting times. This is because the waiting times are not normally distributed and do not follow a symmetrical, bell-shaped curve.
To know more about histogram here.
https://brainly.com/question/30354484
#SPJ4
True or false
The following graph represents a maximum:
f(x)=3x^2+2
Answer:
False
Step-by-step explanation:
Answer come only two
ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
Johnny has 7 apples he gives 2 away calculate the mass and taste of the sun
Help pls and explain!!
Answer: 15 minutes
Step-by-step explanation:
Answer:
15 minutes is your answers
What is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?
A. 3
B. -2
C. 2.5
D. -3
Answer:
D. -3
Step-by-step explanation:
d = t2 - t1
d = -5 - (-2)
d = -3
One hose can fill a small swimming pool in 75 minutes. A larger hose can fill the pool in 50 minutes. How long will it take the two hoses to fill the pool working
together?
Do not do any rounding.
minutes
X
One hose can fill a small swimming pool in 75 minutes. Two hoses will fill the pool in 30 minutes when working together.
Given, the volume ( the space occupied by an solid object) per minute
Smaller hose fills the pool in 75 minutes. (1/75)
A larger one can fill the pool in 50 minutes. (1/50)
So, together they will fill = (1/ 75 ) + (1/50) , the lcm of 75 and 50 is 150
= (2/150) + (3/150)
= 5/150
= 1/30 or 30 minutes
So, we can say that the two hoses will fill the pool in 30 minutes when working together.
To learn more about Volume,
brainly.com/question/463363
How would I solve this problem?
Answer:
(x+1)²=-1
Step-by-step explanation:
x²-7x=-9x-2
x²+2x+2=0
If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.
but if you subtracted 1 from both sides, you’d have
x²+2x+1=-1
Which is:
(x+1)²=-1
P(X≥6)
, n=10
, p=0.5
The probability P(X ≥ 6) is 0.0017.
What is binomial probability?
In an experiment with twο pοssible οutcοmes, the likelihοοd οf exactly x successes οn n repeated trials is knοwn as the binοmial prοbability (cοmmοnly called a binοmial experiment).
Given that ,
p = 0.5
1 - p = 0.5
n = 10
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = x) = (10 C x) * 0.5x * (0.)510 - x
p1= P(X = 6)
= (10 C 6) * 0.56 * (0.)510 - 6
= 0.2051
p2=P(X = 6)
= P( 5.5< x <6.5 )
= P((5.5 - 5)/ 1.5811) < (x -μ ) / σ< (6.5 - 5) / 1.5811 )
= P( 0.32< z < 0.95)
= P(z < 0.95) - P(z < 0.32)
Using standard normal table,
= 0.8289 - 0.6255
= 0.2034
| p1 - p2 | = | 0.2051 - 0.2034 |
= | 0.0017 |
= 0.0017
To learn more about binomial probability from the given link
https://brainly.com/question/9325204
#SPJ1
Complete question:
The random variable X has a binomial distribution with n = 10 and p = 0.5. Determine the following probabilities.
Round your answers to four decimal places.
(a) P(X ≥ 6)
You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. North wales, pa 19454 3 lorenzo price 8621 glendale dr. Burlington, ma 01803 4 stella moss 372 w. Addison street brandon, fl 33510 5 paul casey 9069 e. Brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from brandon, fl, what is the correct function?
The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)
How to Interpret Data Cleaning Analysis?Data cleaning is defined as the process of fixing or removing data that are incorrect, incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.
Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.
Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.
Read more about Data Analysis at; https://brainly.com/question/14724376
#SPJ1
Maria is bringing her sick dog Pedro in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $150 for tests and medicine plus $30 per appointment, a. The clinic offers her a 15% discount on total cost. What is her final cost if she visits the vet 3 times.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
tests and medicine = $150
appointment = $30
discount = 15% = 0.15
visits = 3
final cost = ?
Step 02:
final cost:
final cost = (150 + 30*3) - (150 + 30*3)*0.15
= 240 - 36
= $204
The answer is:
The final cost is $204
please help on this 2 questions
QUESTION 10 An object has a mass of 2.60 x 106 mg and a volume of 0.095Liters (L). What is its density in g/cm3? Report your answer to correct number of sig. Fig. Hint: 1 Kg=1000 g OA 27.4 OB. 27.39 O
The density in g/cm³ of an object that has a mass of 2.60 x 10⁶ mg and a volume of 0.095 Liters (L) is A 27.4.
We know that 1 Kg = 1000 g
Let's convert the mass in mg to grams.
(2.60 x 10⁶) mg = 2.60 x 10³ g
Now, we need to find the density of the object in g/cm³.
Density (p) = Mass (m) / Volume (V)
In g/cm³, the density can be given as
p = m / V
The mass is given as 2.60 x 10³ g and the volume is given as 0.095 L
p = (2.60 x 10³ g) / (0.095 L) = 27368.42105 g/L
We know that 1 L = 1000 cm³
Let's convert the density from g/L to g/cm³ by dividing it by 1000.
p = 27368.42105 / 1000 = 27.37 g/cm³ (approx)
Therefore, the density of the object in g/cm³ is 27.37 g/cm³ (approx). Option A is correct.
Learn more about density here: https://brainly.com/question/26364788
#SPJ11
need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3