Valleywood Golf course offers classes Monday through Saturday. The Saturday classes last 75 minutes. If they offered 705-minutes of classes last week, what was the maximum number of weekday classes?
Answer:
Step-by-step explanation:
To make the problem easier to solve, we will set it up as the equation of the length of time of each class times the number of classes equals the total amount of minutes. However, since we don't know the number of classes, we'll symbolize our two unknowns with two variables.
75x + 45y = 705
(75x + 45y)/15 = 705/15
5x + 3y = 47
y = (47-5x)/3
It looks like we can't simplify the equation any more, so now it is a matter of trial and error. The minimum number of Saturday classes means the maximum number of weekday classes. We first will test for the maximum by assuming there are no Saturday classes, then will work our way up until x is an integer.
If x = 0
(47-5(0))/3 = 47/3 = 15.6666
If x = 1
(47-5(1))/3 = 42/3 = 14
This works. Therefore, the maximum number of weekday classes is 14, or choice b.
x+3 divided by 5=30 i need help
Answer:
x = 147
147 + 3 = 150
150 ÷ 5 = 30
Answer:
See answer in the explanation below.
Step-by-step explanation:
x = 147
147 + 3 = 150
150 ÷ 5 = 30
In the city of Lawrenceville, how many phone numbers are possible using the area code 678? The restrictions for the phone company are listed below. · The first digit of the phone number cannot be numbers 0-5. · The second number cannot be a zero. · The third and fourth numbers cannot be a zero or one · The fifth number cannot be a zero, one or two How many phone numbers are possible using the area code 678? a.2000 b.1,6128 c.1,612,800 d.300
Answer:
Hey there!
If there were no restrictions, there would be 10x10x10x10x10 phone numbers.
The first number can only be a 6-9, so that is four options.
The second number can have nine options.
The third and fourth numbers have eight options.
The fifth number has seven options
4x9x8x8x7=16128.
16128 numbers are possible.
Let me know if this helps :)
please help, i will give brainliest
Answer:
24
Step-by-step explanation:
hope i helped
Abe has $253.33 in his checking account. He wants to buy items that cost $23.33, $25.09, $33.45, and $56.02. How much is Gabe planning to spend?
Answer:
Gabe is planning to spend $137.89.
Step-by-step explanation:
23.33 + 25.09 + 33.45 + 56.02 = 137.89
Please help me!!!!!!!!
Answer:
10) 1/11
11) 18/8 or 2 2/8 or 2 1/4
12) -8/5 or -1 3/5
Step-by-step explanation:
10) -6/11-(-5/11)=-6/11+(5/11)=1/11
11) 1 3/8-(-7/8)=11/8+7/8=18/8 or 2 2/8 or 2 1/4
12) -4/5-4/5=-8/5 or -1 3/5
Help I’m dying I’m giving 20 points plz help
Answer:
20.25
Explanation:
We first need to find the length of one side of the square. We can do this by dividing the area by 4 (27/4), since a square has four sides. You should get 6.75. Now you can multiply 6.75 by three since one side of the square is the same as one side of the triangle. Also, it is an equilateral triangle and all sides are the same. If you multiply correctly, you should get 20.25. Hope this helped!
Answer:
9 sqrt(3)
Step-by-step explanation:
Since the area of the square is 27 cm^2
A = s^2
27 = s^2
Take the square root of each side
sqrt(27) = s
sqrt(9) sqrt(3) = s
3 sqrt(3) =s
We know the the side length of the triangle is s
The perimeter of the triangle is
P =3s = 3 ( 3 sqrt(3))
= 9 sqrt(3)
|x+6|=|x−12| Graph the solution
Answer:
Step-by-step explanation:
[tex]\left|x+6\right|=\left|x-12\right|\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\ \\\mathrm{For\:}x<-6:\quad \mathrm{No\:Solution}\\\\\mathrm{For\:}-6\le \:x<12:\quad x=3\\\\\mathrm{For\:}x\ge \:12:\quad \mathrm{No\:Solution}\\\\\mathrm{Combine\:Solutions:}\\\\\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=3\\\\x=3[/tex]
What is the first derivative of the following function: f(x) = aexp(-bx)
Answer:
The first derivative of the given function
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
Step-by-step explanation:
Step(i):-
Given f(x) = ae⁻ᵇˣ ...( i )
we will use differentiation formula
[tex]\frac{d(e^{ax}) }{dx} = a e^{a x}[/tex]
Step(ii)
Differentiating equation (i) with respective to 'x', we get
[tex]\frac{df(x)}{dx} = a e^{-b x} \frac{d}{dx} (-b x )[/tex]
= -ab e⁻ᵇˣ
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
Final answer:-
The first derivative of the given function
[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]
Why isn't 0 at the far left of the scales?
Step-by-step explanation:
Why isn't "0" far left of the scales? It's not on the far left side because it wouldn't allow us to be much more precise if it was at the far end. Being where it is, it gives us a closer approximation to the actual distance in the real world.
The cost of 1.00 Liters of gas is 26.9 cents. How many dollars will 12.0 gallons cost?
The cost of 12 gallons of gas will be 1221.80 cents.
It is given that 1 liter of gas cost 26.9 cents.
We have to calculate the cost of 12 gallons of gas.
What will be the cost of 10 pens if 1 pen costs 2 cent ?
The cost of 10 pens will be 10 × 2 = 20 cent.
As per the question ;
Cost of 1 liter of gas = 26.9 cent
∵ 1 gallon = 3.785 liters
So ,
The cost of 1 gallon of gas = 3.785 × 26.9
The cost of 12 gallons of gas will be ;
= 12 × 3.785 × 26.9
= 1221.80 cents
Thus , the cost of 12 gallons of gas will be 1221.80 cents.
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Select a counterexample for the conclusion.
The difference between two even numbers is positive.
A
9-13
B
13-9
C
10-2
D
2-10
Please help me with some math im stuck
y = - 40
- 40 since theres no letters it gonna be -40.
plsss help asap!!!! i need it i have a time limit
Answer:
32
Step-by-step explanation:
90 = 7y + 27
7y = 63
y = 9
180 = 58 + 7(9) + 27 + $
$ = 32
It might be wrong
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only (what?) % of people have an IQ over 126.
Answer: 2.5% of people have an IQ over 126.
Step-by-step explanation:
Given: The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13.
126 = 100 + 2(13) = Mean +2 ( standard deviation)
To find : % of people have an IQ over 126.
i.e. % of people have an IQ over Mean +2 ( standard deviation).
According to the standard deviation rule,
95% of data fall within two standard deviations.
Now, 100% - 95% = 5%
and Half of 5% is 2.5%.
So 2.5% of the data lies below 2 standard deviations of mean and 2.5% of the data lies above 2 standard deviations of mean .
i.e. 2.5% of people have an IQ over 126.
How many tablets of 6 mg can be made from 0.6 kg of medicine?
Answer:
100 000 tablets
Step-by-step explanation:
1 mg = 0.001 g ⇒ 6 mg = 0.006 g
1 kg = 1000 g ⇒ 0.6 kg = 600 g
600 g / 0.006 g = 100 000 tablets
A triangle drawn on a map has sides of lengths 9 cm, 12 cm, and 15 cm. The shortest of the
corresponding real-life distances is 122 km Find the longest of the real-life distances,
Answer:
26
Step-by-step explanation:
The length of the carpet is 2a2 and width is 3a. Find the area of the carpet.
HELP ME PLEASE
Answer:
[tex]6a^{3}[/tex]
Step-by-step explanation:This is a very simple question.
We all know that the equation or formula for area is...
A= L*W
So multiply...
[tex]2a^{2} *3a[/tex]= [tex]6a^{3}[/tex]
Since 3a has an exponent power of 1 and you add the exponent power when multiplying...
The result would be... [tex]6a^{3}[/tex].
Hope this helps:)
k=6
c=2
5 • k - 10c + 8
Answer:
22-10c
Step-by-step explanation:
The simplified value of the expression is 18
Given the expression :
5 * k - 10c + 8k = 6c = 2To solve , substitute the values of k and c into the equation
Now we have ;
5 * 6 - 10(2) + 8
5 * 6 - 20 + 8
30 - 20 + 8
30 - 12
= 18
Hence, the. simplified value of the expression is 18
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The sum of 18 and a number
Answer:
The expression you are looking for is: 18+x
Step-by-step explanation:
Using every day knowledge which of the following statements is an if/then statement whose reverse is also correct.
A. if an ambulance has emergency lights on, then cars on the road pull over.
B. if the TV is unplugged, then the TV will not turn on.
C. if the wind is blowing, then the weather is chilly
D. if the light bulb was recently on, then the lightbulb is hot
B. if the TV is unplugged, then the TV will not turn on.
A conditional statement has two parts: hypothesis (if) and conclusion (then).
The converse is when we switch or interchange our hypothesis and conclusion.
So, we have given statements as:
A. if an ambulance has emergency lights on, then cars on the road pull over.
B. if the TV is unplugged, then the TV will not turn on.
C. if the wind is blowing, then the weather is chilly.
D. if the light bulb was recently on, then the lightbulb is hot.
If we see the converse statement of C.
If the tv does not turn on it’s unplugged.
So the statement is true in both the ways.
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2635 divided by 17 in long form
Answer:
155
Step-by-step explanation:
17 can go into 26. 1 time then 26-17=9
bring down the 3 and it turns into 93
17 can go into 93 5 times. that equals 85
93-85=8 then add the 5 that make 85
85 divided by 17 =5
so the answer is 155
1. Find the ratio of oranges to apples if there are 2 pineapples, 4 apples,
6 bananas, and 3 oranges in a fruit bowl.
a. 1 to 2
b. 2 to 4
c. 3 to 4
d. 3 to 2
Answer: the answer is C because there are 3 oranges and 4 apples
How many 1-1 functions from a set with five elements to a set with 4 elements?
Answer:
The number is zero
Step-by-step explanation:
From the question we are told to state the number of on-to-one that exist from the set of 5 element to the set 4 element
Generally there are no one-to-one function from a set with a higher number of elements to a set with the lower number of elements
So the correct answer to the question is there are no one-to-one function from the set of 5 elements to the set of 4 elements
According to a family-oriented lobbying group, there is too much crude language and violence on television. Forty-two percent of the programs they screened had language they found offensive; 27% were too violent, and 10% were considered excessive in both language and violence. What percentage of programs did comply with the group's standards? Give your answer as a percentage and do not put the % sign in your answer.
Its C because its a loaded language
The sum of three consecutive integers is 180. What is the largest integer?
Answer:
61
Step-by-step explanation:
Here's a neat trick when you have an odd number of consecutive numbers.
Call the middle number k
Then the smaller number is k-1
The larger number is k + 1
The two ones will cancel.
k-1 + k + k-1 = 180
3k = 180
k = 180/3
k = 60
Therefore the largest number is k + 1 = 60 + 1 =61
A bag contains 8 green, 4 black and 6 yellow marbles. How could you use the complement to determine the probability of randomly selecting a green or black marble?
Answer:
12/18=2/3
Step-by-step explanation:
You should add up every marbles to find out how many marbles are in total. Then, you should add the green and black marbles. There are 4 black marbles, and 8 green marbles, which results 12 black+green marbles. Then you should make a fraction 12/18, because you are finding the probability of the green+black marbles out of the total marbles. If you simplify, you get 2/3.
The probability of randomly selecting a green or black marble is 12/18.
What is probability?Probability is the ratio that determines how likely an event is to occur from a set of possible events.
We can find the probability of randomly selecting a green or black marble as shown below:Total number of green marbles = 8
Total number of black marbles = 4
Total number of yellow marbles = 6
Total number of marbles = Total number of green marble + Total number of black marbles + Total number of yellow marbles = 18
P(selecting a green marble) = Total number of green marbles/Total number of marbles
= 8/18
P(selecting a black marble) = Total number of black marbles/Total number of marbles
= 4/18
P(selecting a green or black marble) = (Total number of green marbles + Total number of black marbles)/Total number of marbles
= (8 + 4)/18
= 12/18
Therefore, we have found the probability of randomly selecting a green or black marble to be 12/18.
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Which expression represents the greatest common factor (GCF) of 70 and 112? A. 2 x 2 x 2 x 7 B. 2 x 2 x 2 x 5 C. 2 x 7 D. 2 x 2 x 2 x 3 x 5
Answer:
[tex]\huge\boxed{C. \ \ GCF = 2 * 7}[/tex]
Step-by-step explanation:
Firstly, we'll do prime factorization of these numbers.
70 = 2 × 5 × 7
112 = 2 × 2 × 2 × 2 × 7
So, The Greatest Common Factor can be written as:
GCF = 2 × 7 [Since Only one 2 and one 7 is common]
Hope this helped!
~AnonymousHelper1807Answer:
C
Step-by-step explanation:
I got this correct on e d g e n u i t y thanks to the person above me :)
True or False? The absolute value of any number the same as absolute value of its additive inverse
Answer:
true
Step-by-step explanation:
that is true i need twenty charcters
please answer i need help quick
Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)