Answer:
Could be a mix of answers
Step-by-step explanation:
6(x-7y)-300+9y) is what would do
Write the steps necessary to solve for the variable in the equation 5x+7=42
I need this quick
Step-by-step explanation:
5x + 7 = 42
5x = 42 - 7
5x = 35
x = 35/5
= 7
sorry i had to wrong answer
If half the number is 26 and less than 36 the number is
Answer:
52?
Step-by-step explanation:
Tickets for an Amtrak train cost $21 for children and $35 for adults. Josie paid $2,723 for a total of 91 tickets. How many children tickets and how many adult tickets did Josie buy? Number of Adult tickets sold = Number of Children tickets sold
Josie purchased a total of 91 tickets for an Amtrak train. Children's tickets cost $21 each, and adult tickets cost $35 each. Josie paid a total of $2,723 for the tickets. We need to determine how many children's tickets and how many adult tickets Josie bought.
Let's assume Josie bought x children's tickets and y adult tickets. According to the given information, the total number of tickets is 91, so we have the equation:
x + y = 91 (Equation 1)
The cost of each child's ticket is $21, and the cost of each adult ticket is $35. The total amount Josie paid, $2,723, can be expressed as:
21x + 35y = 2723 (Equation 2)
To find the values of x and y, we can solve this system of equations (Equations 1 and 2). There are various methods to solve a system of equations, such as substitution or elimination. Let's use the substitution method in this case.
From Equation 1, we can rewrite it as x = 91 - y. Substitute this value of x into Equation 2:
21(91 - y) + 35y = 2723
Expanding and simplifying:
1911 - 21y + 35y = 2723
14y = 812
y = 58
Now substitute the value of y back into Equation 1 to find x:
x + 58 = 91
x = 33
Therefore, Josie bought 33 children's tickets and 58 adult tickets.
Learn more about substitution :
https://brainly.com/question/22340165
#SPJ11
In what order would we solve for n?
3n - 4 = 14
Which of the following represents the prime factorization of 72?
23 ∙ 32
22 ∙ 33
23 ∙ 32 ∙ 4
2 ∙ 32 ∙ 42
plz help and fast
Answer:
2^3.3^2
Step-by-step explanation:
[tex] {2}^{3 ?} = 8 \\ {?3}^{2?} = 9 \\ 8 \times 9 = 72[/tex]
Answer:
2.2.2.3.3.
72 / 2 = 36
36/2 = 18
18/2 = 9
9/ 3= 3.
So the answer to your question is 2.2.2.3.3.
Hope this helps!
Have a great day and stay safe! :))))))
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply.
(2, 4), (6, 3), (5, 4), (7, 3), (8, 2)
A. There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
The true statements about the input and output values given in the question are :
There is only one input for every output.There is only one output for every input.The pair of point corresponds to an x and y value respectively, this means that for any point there is one input and one output.
Therefore, since there is a one to one relationship for each point, then there is only one input for every output and vice versa.
Learn more : https://brainly.com/question/11949421
What is the value of the expression below when y = 8 , y^2 - y - 2 ? Please answer !!!!! Will mark brainliest !!!!!!!!!!
Data shows that the probability of dying from cardiovascular disease is 0.45 and that the probability from dying of cancer is 0.22. What is the probability of dying from some other cause?
The sum of all probabilities of dying from all causes is equal to one. Hence, the probability of dying from some other cause is 1 - 0.45 - 0.22 = 0.33.Probabilities are numerical estimates of the chance of a given outcome occurring.
\Probability theory is the study of the ways in which probabilities can be calculated or estimated, as well as the mathematical laws that govern them. It's critical in virtually every area of human endeavour that includes elements of uncertainty or chance, from the weather to finance to the results of an election.
Therefore, from the above given data, it is quite clear that the probability of dying from some other cause is 0.33.
To know more about Probabilities visit:
https://brainly.com/question/29381779
#SPJ11
Can someone Please help explain this geometry question for me.
Carl's dog, alice, has a pet ramp she uses to go up to bed. A picture of alice on her pet ramp is the picture I have there. Enter the length of the ramp in feet. Round your answer to the nearest hundredth.
Answer:
6.2 feet
Step-by-step explanation:
Triangle formed (in red) by the pet ramp is showing a right triangle.
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Length of leg 1 = 6 ft
Length of leg 2 = 1.5 ft
By substituting the values in the formula,
(Hypotenuse)² = 6² + (1.5)²
= 36 + 2.25
= 38.25
Hypotenuse = [tex]\sqrt{38.25}[/tex]
= 6.18
≈ 6.2 ft
Therefore, length of the pet ramp is 6.2 ft.
Suppose that adult women in China have heights that are normally distributed with a mean = 155 centimeters and a standard deviation = 8 centimeters. Adult women in Japan have heights which are normally distributed with a mean = 158 cm and a standard deviation = 6 cm. Of the Chinese women, what percent are shorter than 163cm?
Answer:
84.134%
Step-by-step explanation:
We solve this question using the z score formula.
The formula for calculating a z-score is z = (x-μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
We are were asked in the question that:
Suppose that adult women in China have heights that are normally distributed with a
mean = 155 centimeters
standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?
Using the z score formula
z = (x-μ)/σ
z = (163 - 155)/8
z = 8/8
z = 1
Determining the Probability value from Z-Table:
P(x ≤ 163) = P(x < 163)
= 0.84134
Converting to percentage
= 0.84134 × 100%
= 84.134%
The percent of Chinese women that are shorter than 163cm is 84.134%
What is the profitability index for an investment with the
following cash flows given a 9 percent required return?
Year Cash Flow
0 $-109,000
1 $47,300
2 $59,800
3 $15,900
The profitability index for the investment is approximately 0.0211, given a 9 percent required return.
To calculate the profitability index, we need to divide the present value of the cash flows by the initial investment. The formula for the profitability index is as follows:
Profitability Index = Present Value of Cash Flows / Initial Investment
First, we need to calculate the present value of the cash flows. The present value is determined by discounting each cash flow to its present value using the required rate of return. Given a 9 percent required return, we can use the following formula to calculate the present value of each cash flow:
Present Value = Cash Flow / (1 + Required Rate of Return)ⁿ
Where n represents the year.
Let's calculate the present value of the cash flows:
Year 0:
Present Value of Cash Flow 0 = -109,000 / (1 + 0.09)⁰ = -109,000
Year 1:
Present Value of Cash Flow 1 = 47,300 / (1 + 0.09)¹ = 43,394.50
Year 2:
Present Value of Cash Flow 2 = 59,800 / (1 + 0.09)² = 50,961.99
Year 3:
Present Value of Cash Flow 3 = 15,900 / (1 + 0.09)³ = 12,338.83
Next, we sum up the present values of the cash flows:
Total Present Value = Present Value of Cash Flow 0 + Present Value of Cash Flow 1 + Present Value of Cash Flow 2 + Present Value of Cash Flow 3
Total Present Value = -109,000 + 43,394.50 + 50,961.99 + 12,338.83
Total Present Value = -2,304.68
Finally, we can calculate the profitability index:
Profitability Index = Total Present Value / Initial Investment
Profitability Index = -2,304.68 / -109,000
Profitability Index ≈ 0.0211
Therefore, the profitability index for the given cash flows and a 9 percent required return is approximately 0.0211.
Read more about Profitability index here: https://brainly.com/question/30641835
#SPJ11
For f(x) defined below, which of the following could be a value of f(x)?
f(x)=x^2+2
A) 0
B) 2
C) 1
D) -1
Answer:
The answer is B
Step-by-step explanation:
The volume of a cubical box is 32768 m3 . Find the length of its side?
please help with steps ☺
Answer:
32m
Step-by-step explanation:
Volume of cube = x³ [where x is the length of one side of the cube]
and given that volume is 32768m³
thus,
[tex]x^{3} = 32768\\ x = \sqrt[3]{32768} \\x = 32m[/tex]
solve inequality x+3>10
[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]
[tex]x + 3 > 10[/tex]
[tex]x > 10 - 3[/tex]
[tex]x > 7[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Solve the equation x^2=80
Answer:
square root of 80
Step-by-step explanation:
in order to get rid of the ^2 you must square root[tex]\sqrt{x}[/tex] both sides of the equation thus = [tex]\sqrt[n]{80}[/tex] then you can use a calculator or something to simplfiy it further which would get you to 8.94 something.
Astronomers have noticed that the number of visible sunspots varies from a minimum of about 10 to a maximum of about 110 per year. Further, this variation is sinusoidal, repeating over an 11 year period. If the last maximum occurred in 2003, write both a sine and a cosine function which models this phenomenon in terms of the time t which represents the year. How many visible sunspots were expected in the year 2020?
60 visible sunspots were expected in the year 2020.
The number of visible sunspots varies sinusoidally, repeating over an 11 year period. The maximum number of sunspots is 110, and the minimum number is 10 per year.
Therefore, the amplitude of the function is (110 - 10) / 2 = 50. The average of the maximum and minimum numbers is (110 + 10) / 2 = 60. The sine function can be written as:f
(t) = A sin(ωt) + C
where A = amplitude, ω = angular frequency, C = vertical shift.
To find A, ω and C, we can use the information given as follows:
f(t) = 50 sin(2π/11(t - 2003)) + 60
Similarly, the cosine function can be written as:
f(t) = A cos(ωt) +
where A = amplitude, ω = angular frequency, C = vertical shift.
To find A, ω and C, we can use the information given as follows:
f(t) = 50 cos(2π/11(t - 2003)) + 60
To find the number of visible sunspots in 2020, we need to substitute t = 2020 in either of the functions. Let's use the sine function.
f(2020) = 50 sin(2π/11(2020 - 2003)) + 60
= 50 sin(2π/11 × 17) + 60
≈ 60.7
Therefore, about 60 visible sunspots were expected in the year 2020.
To learn more about expected value: https://brainly.com/question/24305645
#SPJ11
After someone dies their body temperature decreases due to heat-exchange with the environment, even- tually reaching the ambient temperature. Suppose that the body temperature at the time of death is To- (a) Write down a word equation for the heat-transfer processes occurring following the death of an indi- vidual. (b) Convert your word equation into a mathematical model (i) Carefully state any assumptions that you make. (ii) Define all symbols in your model. (c) (i) Find the temperature of the body (7') as a function of time. (ii) Assume that the individual dies at time t = 0. The body is discovered at time t - ty and that time after the body is discovered is represented by 7. Show that your solution can be written in the form In Z (t) = -A (ta +7)
By comparing this solution to the given form In Z(t) = -A(ta + 7), we can see that A = To - Ta and ta + 7 = kt.
The heat-transfer processes occurring following the death of an individual can be described using a mathematical model. The body temperature decreases over time until it reaches the ambient temperature.
This can be represented by a first-order differential equation. By solving the differential equation, the temperature of the body as a function of time can be obtained. The solution takes the form of an exponential decay with a constant factor.
(a) The word equation for the heat-transfer processes following the death of an individual can be stated as follows: "The rate of change of body temperature with respect to time is proportional to the temperature difference between the body and the environment."
(b) To convert the word equation into a mathematical model, we make the following assumptions:
- The body and the environment are in thermal equilibrium initially.
- The body loses heat solely through conduction and radiation.
- The surrounding environment remains at a constant temperature.
Let T(t) represent the temperature of the body at time t, and Ta represent the ambient temperature. The mathematical model can be expressed as:
dT/dt = -k(T - Ta)
where dT/dt represents the rate of change of body temperature, and k is a constant that determines the rate of heat loss.
(c) (i) To find the temperature of the body as a function of time, we solve the differential equation:
dT/dt = -k(T - Ta)
By separating variables and integrating, we get:
∫(1 / (T - Ta)) dT = -k ∫dt
Solving the integral and applying initial conditions, we obtain:
ln|T - Ta| = -kt + C
where C is the constant of integration.
(ii) Assuming the individual dies at time t = 0 and the body is discovered at time t = ty, we can substitute these values into the solution obtained above:
ln|To - Ta| = -k(0) + C
ln|To - Ta| = C
Therefore, the solution can be written as:
ln|T(t) - Ta| = -kt + ln|To - Ta|
T(t) - Ta = e^(-kt + ln|To - Ta|)
T(t) = Ta + (To - Ta)e^(-kt)
By comparing this solution to the given form In Z(t) = -A(ta + 7), we can see that A = To - Ta and ta + 7 = kt.
Learn more about ambient temperature here:
brainly.com/question/31229398
#SPJ11
What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
A. 11 and one-third
1B. 3
C. 102
D. 117
Answer:
I think the answer is d
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
whats the distance between the points (2, -2) and (7, -8) Round your answer to the nearest hundredth. Distance: x H Continue 3020 MOGraw-Hill Education
Answer:
The distance is 7.81 when rounded to the nearest hundredth
veronica delivers 27 copies of the news report and22 copies of the city times to 38 of the 40 houses onoakland street. no house receives more than 1 copyof each newspaper. how many houses receive bothnewspapers?
9 houses receive both the news report and the city times.
Let's break down the problem to find the number of houses that receive both newspapers.
Veronica delivers 27 copies of the news report and 22 copies of the city times to a total of 38 houses on Oakland Street. Since each house can receive at most 1 copy of each newspaper, the maximum number of houses that can receive either newspaper is the sum of the copies delivered for each newspaper, which is 27 + 22 = 49.
However, we know that there are only 40 houses on Oakland Street. This means that at least 9 houses will not receive any newspaper.
To determine the number of houses that receive both newspapers, we need to subtract the number of houses that don't receive any newspaper from the total number of houses that can receive either newspaper.
Therefore, the number of houses that receive both newspapers is 49 - 40 = 9.
As a result, 9 households receive both the city times and the news report.
for such more question on maximum number
https://brainly.com/question/11583754
#SPJ8
how many are 2 raised to 2 ???
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2
is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
Answer:
The answer is 4
Step-by-step explanation:
In the figure below A; B; C; D; E; F divide the circle into 6 equal parts, find the angle x and y.
The correct values are:
Angle x = 90°
Angle y = 90°
Considering the given information that points A, B, C, D, E, and F divide the circle into 6 equal parts, we can analyze the angles as follows:
Each section of the circle corresponds to an angle of 360° / 6 = 60°.
Now, let's examine angle x and angle y:
Angle x is formed by connecting points A, B, and F. Since A and B divide the circle into two equal parts, the angle AOB is 180° / 2 = 90°. As F divides the remaining portion of the circle, the angle x can be determined as follows:
x = 360° - (180° + 90°) = 90°.
Angle y is formed by connecting points C, D, and E. Similarly, since C and D divide the circle into two equal parts, the angle COD is 180° / 2 = 90°. Thus, the angle y can be calculated as follows:
y = 360° - (180° + 90°) = 90°.
Therefore, the correct values are:
Angle x = 90°
Angle y = 90°
for such more question on Angle
https://brainly.com/question/25716982
#SPJ8
A cake decorator can bake and decorate 3 wedding cakes in 8 hours. How long will it take him to complete 2 cakes?
heeeeeeeeeeeeeeeeeeeeelllllllllppppppp
Answer:
(0,2.5)
(3.5,0)
Step-by-step explanation:
it may help you to understand.
9) Given the linear functions f(x) = x + 4 and g(x) = -5x – 3, determine the following: (Page 6)
Part A: (f+g)(x)
Part B: (f-g)(x)
Part C: (f�g)(x)
The (f∘g)(x) = -5x + 1.
The solutions are:
Part A: (f+g)(x) = -4x + 1
Part B: (f-g)(x) = 6x + 7
Part C: (f∘g)(x) = -5x + 1
To determine the values of (f+g)(x), (f-g)(x), and (f∘g)(x) for the given linear functions f(x) = x + 4 and g(x) = -5x - 3, we'll perform the necessary operations.
Part A: (f+g)(x)
To find (f+g)(x), we add the two functions together:
(f+g)(x) = f(x) + g(x)
= (x + 4) + (-5x - 3)
= x - 5x + 4 - 3
= -4x + 1
Therefore, (f+g)(x) = -4x + 1.
Part B: (f-g)(x)
To find (f-g)(x), we subtract g(x) from f(x):
(f-g)(x) = f(x) - g(x)
= (x + 4) - (-5x - 3)
= x + 5x + 4 + 3
= 6x + 7
Therefore, (f-g)(x) = 6x + 7.
Part C: (f∘g)(x)
To find (f∘g)(x), we substitute g(x) into f(x):
(f∘g)(x) = f(g(x))
= f(-5x - 3)
= -5x - 3 + 4
= -5x + 1.
For more such questions on Solutions:
https://brainly.com/question/25976025
#SPJ8
Which of the following is equivalent to 16 x 4^3 x 64 ? PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
16 × 4^3 × 64
= 4^2 × 4^3 × 4^3
= 4^(2 + 3 + 3)
= 4^8
Write a word problem that fits with the equation (-3) - 7.
Answer:
the multiplication of negative three and a negative sevennegative three multiplied by negative sevenStep-by-step explanation:
PLEASEEEEEEEEEEEE HELPPPPPPPPPPP 9 + 6x - 5 =
Answer:
6x +4
Step-by-step explanation:
9 + 6x - 5 =
Combine like terms
6x +4
Nicholas uses 1 3/4 teaspoons of sugar to make 1 cup
of hot cocoa. How much sugar
should he use to make 6 cups of hot cocoa?
Answer:
10 1/2 (ten and a half) teaspoons
Step-by-step explanation:
If 1 3/4 teaspoons of sugar can make 1 cup of hot cocoa
then how many teaspoons of sugar can make 6 cups?
that is,
1 3/4 tsps = 1 cup of hot cocoa
? = 6 cups of hot cocoa
when you cross multiply
6 * 1 3/4
1 3/4 in whole number is 7/4
6 * 7/4 = 21/2
21/2 expressed in fraction is 10 1/2
therefore 10 1/2 teaspoons of sugar will make 6 cups of hot cocoa.
