In warmer climates, approximate temperature predictions can be made by counting the number of chirps of a cricket during a minute. The Fahrenheit temperature
decreased by forty is equivalent to one-third of the number of cricket chirps.
(a) Write an equation for this relationship.
(b) Approximately how many chirps per minute should be recorded if the temperature is 90°F?
(c) If a person recorded 72 cricket chirps in a minute, what would be the Fahrenheit temperature according to this formula?
(a) Let F represent the Fahreheit temperature and let x represent the number of chirps. The equation for this relationship is
(Use integers or fractions for any numbers in the expression.)
The relationship between temperature and the number of chirps based on the information given goes thus :
150 chips 64°F[tex] f - 40 = \frac{x}{3}[/tex]Let :
Temperature = f ; number of cricket chirps = n[tex] f - 40 = \frac{n}{3}[/tex]1.) Chirps per minute if temperature is 90°F
Put f = 40°F into the equation :
[tex] 90 - 40 = \frac{n}{3}[/tex]
[tex] 50 = \frac{n}{3}[/tex]
[tex] n = 50 \times 3 = 150 chirps [/tex]
2.) Fahrenheit temperature if n = 72
[tex] f - 40 = \frac{72}{3}[/tex]
Cross multiply
[tex] 3(f - 40) = 72[/tex]
[tex] 3f - 120 = 72[/tex]
[tex] 3f = 72 + 120 [/tex]
[tex] 3f = 192[/tex]
[tex] f = \frac{192}{3} = 64 [/tex]
3.)
The equation for the relationship with f = Fahrenheit temperature and x = number of chirps
[tex] f - 40 = \frac{x}{3}[/tex]
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A representative from the bank speaks with you about opening a savings product. You would be guaranteed at least a 3.5% return for the next 10 years when you agree to add $25.00 each month for the entire time. Given this information and that you meet the minimum monthly contribution requirement, what would be your total accumulated value at the end of the 10 years?
Answer:
a 3.5 % return is .035/12 - .002917 / mo
10 years is 120 mos.
This is basically an annuity payment - after 10 years 1$, deposited monthly, would be worth (similar to house mortgage, etc.)
N = (1 - (1 + i)^-120) / i = 241.73
Total amount = 25 * 241.73 = 6043
Note 120 payments at $25 = 3000
explain why 120% cannot be the probability of some event?
Answer:
A probability must be between zero and one.
Step-by-step explanation:
Probability is the chance of something occuring. 120% is not realistic in real world examples, because the probability standard ranges from "definitely will not happen" to "definitely will happen", meaning a 0% chance of it occurring to 100% chance of it occurring. The only time 100.0%+ will be applicable are typically in simulations, which allows for such to counterbalance any negatives percentages that is allocated to the target. However, in the real world, it will never go over 100%.
Please help me anyone please ????):
Answer:
Step-by-step explanation:
man the formula is right there!
two points: (3,2) and (7,5)
[tex]y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75[/tex]
HELP ME PLEASE!!! answer 1, 5, and 6. It’s similar figures and drawing scales. It’s due so please!!!! I am begging it’s this third time I’m asking. I am going to cryyy
solve pls brainliest
one of the four gas stations located at a major intersection of two major roads is a Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the possible values that x can assume?
Answer:
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (15,2) and the Bus Station is located at (5,-10).
The Train Station is located at point?Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the poss
Line v passes through points (4, 4) and (9, 8). Line w is parallel to line v. What is the slope of line w?
Answer:
slopeᵥᵥ = 4/5
Step-by-step explanation:
mᵥ = (8-4)/(9-4) = 4/5
There are 36 students in a class the pie chart shows the colour of their hair
Where is the question?
Step-by-step explanation:
36
Can you write down the days of the week with the number "500" next to them for me. Make this 2 times thank you :)
Answer:
my day is going very sad so please sir l am try to improve my self help me
Help I need this done
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for w :
[tex] \dfrac{2w + 4}{2} = 6 - w[/tex][tex]2w + 4 = 2( 6- w)[/tex][tex]2w + 4 = 12 - 2w[/tex][tex]2 w+ 2w = 12 - 4[/tex][tex]4w = 8[/tex][tex]w = 8 \div 4[/tex][tex]w = 2[/tex]hence , value of w = 2 ~
Answer:
Choice d. w = 2 is correct
Step-by-step explanation:
[tex] \\ \frac{2w + 4}{2} = 6 - w[/tex]
[tex] \\ \mapsto2w + 4 = 2(6 - w)[/tex]
[tex] \\ \mapsto2w + 4 = 12 - 2w[/tex]
[tex] \\ \mapsto2w + 2w = 12 - 4[/tex]
[tex] \\ \mapsto4w = 8[/tex]
[tex] \\ \mapsto \: w = \frac{8}{4} [/tex]
[tex] \\ \mapsto \: w = 2[/tex]
Thus, the value of w is 2
¿Cuáles de estas estrategias eliminan una variable en el sistema de ecuaciones?
−7x+2y=5
3x−5y=−5
a) Suma las ecuaciones.
b) Multiplica por 555 la primera ecuación, multiplica por 222 la segunda ecuación, luego suma las ecuaciones.
c) Multiplica por 333 la primera ecuación, multiplica por 777 la segunda ecuación, luego suma las ecuaciones.
Answer:
Multiplica la primera equation por 5 y la segunda por 2, sumas y eliminas las y.
10y - 10y = 0
También, multiplicas la primera equation por 3 y la segunda por 7, sumas y eliminas las x
-21x + 21x = 0
Step-by-step explanation:
solve the equation show each step
-36 = -3x -4 -5x
i believe that would be the answer. im sorry if its wrong-
Answer:
4 = x
Step-by-step explanation:
To solve for the value of x
-36 = -3x -4 -5x
Transpose and solve
-36 = -8x -4
-36 + 4 = -8x
-32 = -8x
-32 ÷ -8 =x
Both the negative signs will be cancelled
4 = x
identify the solutions of the inequality 5 ≤ s − 6
Answer:
s≥11
Step-by-step explanation:
5 ≤ s -6
=5 + 6 ≤ s
=11 ≤ s or s≥11
The solution to given inequality 5 ≤ s − 6 for s will be s ≥ 11.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Given the inequality,
5 ≤ s − 6
Subtracting by 5 on both sides,
5 - 5 ≤ s - 6 - 5
0 ≤ s - 11
Adding 11 on both sides
0 + 11 ≤ s - 11 + 11
11 ≤ s or s ≥ 11
Hence "The solution to given inequality 5 ≤ s − 6 for s will be s ≥ 11".
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During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $60 plus $20 per hour (including taxes). The total charge comes to $100. which equation can be used to calculate the number of hours, X, that Dalyn rents the boat?
Answer:
6 hours
Step-by-step explanation:
(100 - 40) ÷ 10 = Amount of Hours
= 6 Hours.
Hope this helps.
25/100 simplified ? and if there’s any work pls show it
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
25/100
divide both sides with 25
[tex] \frac{25 \div 25 }{100 \div 25} [/tex]
simplify
= 1/4
Answer:
1/4
Step-by-step explanation:
Find HCD (Highest Common Factor) for both numerator and denominator.
The HCF for 25 and 100 is 25
Now divide the numerator and denominator by 25
(25/25) / (100/25)
1/4
And Viola, you got your simplified form!
Alicia is 7 years old. She is 1 year older than
one-eighth the age of her father. How old is
Alicia's father?
alicia's father is 48 years old
6*8= 48
A store owner sold 4 paint brushes for $12.00 and 8 pens for $3 20. What is the difference between the unit price of a paint brush and the unit price of a pen? 50 POINTS FOR THIS
Answer:
$2.6
Step-by-step explanation:
12/4=3 that means each paintbrush cost $3
3.20/8=0.4 that means each pen cost $0.40
3-0.4=2.6
The lines 5x+2y=14 and y=-5x+9 are?
A: Parallel
B: Perpendicular
C: Neither
Please Help lol
Answer: neither
Step-by-step explanation:
2y=-5x+14/2
y = -5/2 x + 7
m=-5/2
y=-5x+9
m=-5
This is balanced. True or false?
Answer:
False
Step-by-step explanation:
a=3 b=-2 c=5 d=-4 e=-6
just replace the variables with the numbers.
ex.
e+4ab
-6+4(3)(-2)
-6+12(-2)
-6-24
-30
[tex] \sqrt{27 + {3}^{2} } + 5 \\ \sqrt{27 + 9 + 5 } \\ \sqrt{41 } \\ 6.4[/tex]
What is 6 3/10 divided by 5 1/4
Answer:
6 3/10 / 5 1/4 = 1.2
Step-by-step explanation:
Answer:
1 2/10, 12/10, or 1.2
Step-by-step explanation:
6 3/10 as a fraction is 63/10
5 1/4 as a fraction is 21/4
63/10 ÷ 21/4
=63/10 • 21/4
=1 2/10
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
[tex]slop = \frac{y2 - y1}{x2 - x1} \\ considertwo \: points \: \: 5 \: 17and \: 6 \: 18 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 17 = \frac{18 - 17}{6 - 5} (x - 5) \\ y - 17 = x - 5 \\ y = x - 5 + 17 = x + 12 \\ good \: luck[/tex]
Answer:
f(x)=x+12
Step-by-step explanation:
To check if it is right:
plug in the numbers to the equation
f(x)=5+12=17
f(x)=6+12=18
Solve the problems.
(will give brainliest)
Answer:
AB=12m<6
BD=23m>7
Step-by-step explanation:
IF a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20, The cost to play is $5. What is the expectation of this game?
The gambler can expect to lose $3.06 per play on average.
what is Sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
The sample space for rolling two 6-sided dice, there are 36 possible outcomes
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
The possibility of getting sum of three is (1,2) and (2,1)
and, The possibility of getting sum of ten is (4,6), (5,5), and (6,4)
Thus, the expected winning on a role is
= (2/36) x 20 + (3/36) x 10
= $1.94
If the gambler paid $5 which means
= -$5 +$1.94
= -3.06
Hence, The gambler can expect to lose $3.06 per play on average.
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this is a calculation, please answer me
Answer:
0is the answer just guessing
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
2, 5, 9, 10
Step-by-step explanation:
add 2 to the x value to find the f(x) value
25. Abby won 57 points on her first turn in a game. She won 37 more
points on her second turn and then lost 19 points on her third turn.
She won some more points on her fourth turn. Now Abby has 100
points. How many points did she win on her fourth turn? Write an
equation using a variable for the unknown. Explain your thinking to a
friend.
Answer:
25 points
Step-by-step explanation:
57 + 37 - 19 + x = 100
94 - 19 + x = 100
75 + x = 100
x = 25
She won 25 points on her 4th turn.
A dress that costs $63.99 is on sale for 1/3 off. What is the sale price of the dress? Round your answer to the nearest cent.
What is the value of 25^2
Answer:
625
Step-by-step explanation: