Using the concept of inequality, the number of minutes which ensures that the park makes profit while also ensuring that the park isn't overcrowded ls expressed below :
m ≤ 304m ≥ 163 (m ≥ 163) AND (m ≤ 304) 163 ≥ m ≤ 304Given the Parameters :
Total capacity = 4500Number of people required in park = 2800Entry rate, r = 12 people per minute Initial capacity, c = 850 Time, m =?The number of minute to keep the gates opened :
c + rm ≤ 4500
850 + 12m ≤ 4500
12m ≤ 4500 - 850
12m ≤ 3650
m ≤ (3650÷ 12)
m ≤ 304.16
Hence, the gates should be left opened for at most 304 minutes
B.)
In other to allow atleast 2800 in for profit sake
850 + 12m ≥ 2800
12m ≥ 2800 - 850
12m ≥ 1950
m ≥ 162.5
The gates should be opened for 163 minutes.
C.)
In other to make profit by allowing atleast 2800 people in while also ensuring that not more than 4500 people are in the park ; the inequality representing the number of minutes the gates should be open is :
(m ≥ 163) AND (m ≤ 304)D.)
Expressing as a single interval statement :
163 ≥ m ≤ 304Learn more :https://brainly.com/question/15748955
125 pounds decreased by 4%
Answer:
Step-by-step explanation:
It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.
Answer:
The answer would be 5
Step-by-step explanation:
Percentage decrease =
4% × 125 =
4 ÷ 100 × 125 =
4 × 125 ÷ 100 =
500 ÷ 100 =
5
find the equation of the line that passes through the point 0,8 and whose slope is 1.
Answer:
y = x + 8
Step-by-step explanation:
solve the equation for x: 3(m+7)=6(m+2)
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3
You just had a child. You would like to have $50,000 for her college in 18 years. If the account earns 5% compounded monthly. How much will you need to deposit now to reach your goal? Round to the nearest dollar. (do not round until the very end)
Answer:
Step-by-step explanation:
I=PRT
I=50000000000×5÷100×18
I= 5000000000×0.5×18
I=45,000,000,000
x/x+2-4/x-2=1
I forgot how to do these types of questions.
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]\frac{x}{x}+2-\frac{4}{x}-2=1[/tex]
Step 1: Subtract [tex]2\:-2[/tex] from both sides
[tex]\frac{x}{x}+2-\frac{4}{x}-2-\left(2-2\right)=1-\left(2-2\right)\\\\\frac{x}{x}-\frac{4}{x}=1[/tex]
x over x is 1
[tex]1-\frac{4}{x}=1[/tex]
Step 2: Multiply both sides by [tex]x[/tex]
[tex]1\cdot \:x-\frac{4}{x}x=1\cdot \:x\\\\x-4=x[/tex]
And when you solve for [tex]x-4=x[/tex], the answer is [tex]\mathrm{No\:Solution}[/tex], NOT THERE IS NO SOLUTION.
8 A high-speed train travels at a maximum speed of 320 kilometres
per hour (km/h).
Work out the maximum speed of this train in metres per second (m/s).
Give your answer to the nearest whole number.
Answer:
km/hr to m/s = × 5/18
Step-by-step explanation:
320 ×5/18
=89m/s
find the segment
plz solve
Answer:
60 unitsStep-by-step explanation:
Use the ratio of corresponding sides of similar triangles:
25/x = x / 144x² = 25*144x = √25√144x = 5*12x = 60Can someone help me plz
HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8
Answer:
[tex]3 \times 10 ^{ - 7} [/tex]
BRainliest plus 50 points
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)
Answer:
Perpendicular
slope Ab = undefined
slope Cd = 0
Step-by-step explanation:
slope AB = undefined, a vertical line has no slope
slope CD = 0 (a horizontal line has no slope)
Answer:
AB: Undefined
CD: 0
Perpendicular
Step-by-step explanation:
Slope is the change in y over the change in x
(sometimes called "rise over run")
Formula looks like this:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
First let's find the slope of AB
[tex]\frac{7-3}{-5 --5 }[/tex]
[tex]\frac{7-3}{-5 +5 }[/tex]
[tex]\frac{4}{0}[/tex]
Undefined
Then the slope of CD:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
[tex]\frac{9 -9}{-10 - 1 }[/tex]
[tex]\frac{0}{-11 }[/tex]
0
If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither
Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left
I hope this is correct and helps, have a nice day :D
See attached file for a photo example :)
which relations are functions
Answer:
Both relations in the picture are not functions
Step-by-step explanation:
Find Y
25 POINTS plus BRAINLIEST, THANKS AND 5 STAR
Answer: 5[tex]\sqrt{3\\}[/tex]
Step-by-step explanation:
This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.
Hypotenuse = 2 * the length of the shorter leg
Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.
Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:
y = [tex]\sqrt{3\\}[/tex] * 5
y = 5[tex]\sqrt{3\\}[/tex]
i) A new energy drink called
cost $3 25 per can. Can you buy 8 cans if you have $26?
Hint: The question is asking if 8 cans is a solution. Write the equation, then check by substitution.
Step-by-step explanation:
i) [tex]\sf 3,25 =\dfrac{13}{4} \\\\ Then :\\\\ 1 \ cans -\$3,25 \\\\8 \ cans -\$\ x \\\\ x=\dfrac{13}{4} \cdot 8=\$26 \Rightarrow yes \\\\ \rm \boldsymbol { \rm Answer: \ 8 \ cans \ of \ energy \ \ costs \ \exactly \ 26\$}[/tex]
Donald Trump wants to build a 100 meter high tower as quickly as possible. He has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.
He has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. The blocks interlock on top and bottom (like legos). They cannot be stacked sideways or on their ends.
Using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are.
What is the shortest amount of time (weeks) that it will take to build the tower?
I looked up the answer, and everywhere it says that it is 10 weeks, but would it work with 1 stack of 100 blocks (1 week)?
Answer: 100 weeks
Step-by-step explanation: I think this is like a trick question or what not. I’m going to give you my best answer. It takes 1 week to stack a block and he wants it to be 100 meter tall. 1 block is one meter tall and since it takes 1 week per stack you would do 100 x 1 equals to 100 weeks. I know it says the shortest time but thats my best guess
It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
Time per block x total blocks = Total time1 week x 100 = X100 weeks = XTherefore, it will take 100 weeks to build the tower.
Learn more in https://brainly.com/question/2263981
plz help....................
Answer:
A) x = 7
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
[tex]x+ 8 - 8 = 15 -8[/tex] [tex]x = 7[/tex]Therefore, the correct answer is A) x = 7.
Answer:
x=7
Step-by-step explanation:
x+8=15
x+8-8=15-8
x=7
another easy 8th grade problem for u guys to help me with aha
scale the numerator and the denominator down by a factor of 3 (divide) to write a
fraction equivalent to 18/42
Answer:
6/14
Step-by-step explanation:
divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.
Answer:
6/14
Step-by-step explanation:
Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.
18 / 3 = 6
42 / 3 = 14
So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.
Evaluate the expression and write your answers as a fraction in simplest form.-1/19+(-3/19)
Answer:
-4/19 is the answer.
Step-by-step explanation:
DISTANCE FORMULA
find the distance between each pair of points round the answer to the nearest tenth
Step-by-step explanation:
The distance between 2 points is calculated with this formula:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
• in the first exercise:
- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1
- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2
then apply the formula:
[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]
[tex] \sqrt{81 + 1} [/tex]
[tex] \sqrt{82 } =9.05[/tex]
you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)
• in the second exercise:
- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1
- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2
then apply the formula:
[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]
[tex] \sqrt{(0) {}^{2} + (36) } [/tex]
[tex] \sqrt{36} = 6[/tex]
the 1996 population of San Diego, California, was estimated to be about 1,170,000. This was about 3/7 of the estimate for Chicago. What was the approximate of Chicago?
how do you write 2500 in scientific notation
Answer:
2.5*10^3... two point five times ten to the power of three
Step-by-step explanation:
Answer:
2.5 × [tex]10^{3}[/tex]
Step-by-step explanation:
I think that is the write answer.
Lmk what u got.
Find the missing angle
25 points in it for you plus a thanks, brainliest and 5 star
Answer:
[tex]27.82 \degree[/tex]
Step-by-step explanation:
To find the unknown angle use tan rule
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
Let the unknown angle be x
[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
³√9³ x √30²
I'm so stuck please help me!
Answer:
Step-by-step explanation:
Picture included help stuck on this question
PLEASE HELP!! Pleaseee
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given angles are forming alternate interior pair, so :
[tex]4x - 2 = 3x + 6[/tex][tex]4x - 3x = 6 + 2[/tex][tex]x = 8[/tex]hence, value of x = 8°
at an ice cream social, 56 people orderd chocolate ice cream while 32 people ordered vanilla ice cream. at a different event, 42 people bought chocolate and 30 bought vanilla. does this event have the same ratio of chocolate to vanilla purchases ad the ice cream social from (a)? justify.
Answer:
1st event ratio is 7:4 2nd event is 7:5
Step-by-step explanation:
The ratios are not the same. During the 2nd event, FIVE people bought vanilla ice cream for ever 7 that bought chocolate. During the 1st event, FOUR people bought vanilla ice cream for every 7 that bought chocolate.
Kayla works at flower store.the owner tells kayla he wants to take 10 percent off a 18.00$ bouquet. If the bouquet still doesn’t sell the owner will again reduce the sale price by 15 percent. Kayla tells the owner the original price by 25 percent because the sale price would be the same
Kayla is wrong because the calculation will give different amounts since one gave $13.77 while the other one was $13.50.
Taking 10% off and then 15% off will give a price that will be calculated thus:
= $18 - (10% × $18)
= $18 - $1.80
= $16.20
Taking 15% off will then be:
= $16.20 - (15% × $16.20)
= $16.20 - $2.43
= $13.77
Now taking 25% off directly firm $18.00 will give:
= $18.00 - (25% × $18.00)
= $18.00 - $4.50
= $13.50
Therefore, Kayla is wrong.
Read related link on:
https://brainly.com/question/25236642
Which statements for 15.489 are true? Check all that are true. The digit 9 is in the tenths place. The digit 4 is in the tenths place. The digit 9 is in the thousandths place. The digit 8 is in the hundredths place. The digit 8 is in the thousandths place?
Digit 9 -1's place
Digit 4 - 100ths
Digit 8 - 10ths
Answer:
B. The digit 4 is in the tenths place
C. The digit 9 is in the thousandths place
D. The digit 8 is in the hundredths place
Step-by-step explanation:
A. The digit 9 is in the thousandths place
E. The digit 8 is in the hundredths place.
Hope it helped!
During a fund-raising campaign, three sections in Kapayapaan Integrated School collected 125 12 kg, 163 23 kg, and 119 45 kg of newspaper. How many kilograms of newspaper did they collect? If they sold the newspaper at P5.00 a kg, how much in all did they get?
plz add u'r solutions
Answer:
81.4
Step-by-step explanation:
ADD THE 125 KG, 163 KG, AND 119
125 + 163 + 199 = 407
THEN DIVIDE IT TO p5.00
ans is (81.4).
What is -3.5 divided by 7?
Answer: -0.5
-3.5 / 7 = -.5
The value is -1/2.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
-3.5 ÷ 7
This can be written as a fraction.
= -3.5/7
Remove the decimal point.
= -35/70
Divide both the numerator and denominator with 7.
= -5/10
Divide both the numerator and denominator with 5.
= -1/2
Thus,
The value is -1/2.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
solve for g
E=5gh
g=?
Answer:
[tex]g = \frac{E}{5h}[/tex]
Step-by-step explanation:
To solve for g, given the equation: E = 5gh
Divide both sides by 5h:
[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]
[tex]\frac{E}{5h} = g[/tex]
Answer:
E=5gh
E/5h=g
g=e/5h
Step-by-step explanation:
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