The ages of Andy and Brett can be determined by setting up two equations from the given information and solving for their ages. Andy is 32 years old, and Brett is 12 years old.
Explanation:The subject of this question is Mathematics. The question falls under algebraic problem-solving typically taught in middle school. To find Andy and Brett's ages, we can set up two equations based on the given information.
Let A represent Andy's age, and B represent Brett's age. According to the problem, we have:
A + B = 44 (since the sum of their ages is 44)A = 2B + 8 (since Andy's age is 8 more than twice Brett's age)We can substitute the second equation into the first:
(2B + 8) + B = 443B + 8 = 443B = 36B = 12Brett is 12 years old. Now, we can find Andy's age using the second equation:
A = 2(12) + 8A = 24 + 8A = 32 years oldSo, Andy is 32 years old, and Brett is 12 years old.
The sum of Andy and Brett's ages can be found using a system of equations. We can solve the equations to find Andy's age is 32 and Brett's age is 12.
Explanation:The problem can be solved using a system of equations.
Let's assume Andy's age is 'x' and Brett's age is 'y'.
We are given that the sum of their ages is 44, so the equation is: x + y = 44.
Additionally, Andy's age is 8 more than twice Brett's age, so we have another equation: x = 2y + 8.
Now we can solve this system of equations to find the values of x and y.
Substituting the value of x from the second equation into the first equation, we get (2y + 8) + y = 44. Simplifying this equation gives us 3y + 8 = 44. Subtracting 8 from both sides, we have 3y = 36. Dividing both sides by 3, we get y = 12. Substituting this value back into the first equation, we find x = 32.
Therefore, Andy is 32 years old and Brett is 12 years old.
Tangerine trees yield 50 pounds of fruit per acre and grapefruit trees yield 75 pounds of fruit per acre. John's orchard produced a maximum total of 1,500 pounds of fruit. Is it possible for John to have 25 acres of tangerine trees and 15 acres of grapefruit trees?
No, because 50(25) + 75(15) ≠ 1500 No, because (50 + 75)(20 + 15) ≠ 1500 Yes, because 50(25) + 75(15) ≥ 1500 Yes, because 50 + 75 + 25 + 15 ≤ 1500
HELP FAST ILL MAKE BRAINIEST Mr. McClellan compared the weights (in pounds) of pairs of elk antlers dropped at Mount St Helens NVM and Rocky Mountain NP. He tabulated them in the following colored data tables. Purple: Weight of elk antler pairs at Mount St Helens NVM: {34, 34, 30, 30, 30, 28, 28, 26} Red: Weight of elk antler pairs at Rocky Mountain NP: {40, 38, 36, 36, 36, 36, 34, 32}
(a) Create a line plot for each data set.
(b) Calculate the following for each set of data: a. Purple Mean: b. Red Mean: c. Purple Median: d. Red Median: e. Purple MAD: f. Red MAD:
(c) Calculate the means-to-MAD ratio for the two areas of collection. (
d) What inference can be made about the areas in regard to weight of dropped elk antlers? Explain. Answer:
MAD tells us how far, on average, all values are from the middle. So, in the example weight of elk antler pairs at Mount St Helens NVM are, on average, 2 away from the middle. On the other hand, weight of elk antler pairs at Rocky Mountain NP are, on average, 1.5 away from the middle. So, we can assure that elk antler pairs at Rocky Mountain NP weighs more than elk antler pairs at Mount St Helens NVM.
Which quadratic equation equation is equivalent to (x^2-1)^2 -11(^2-1) +24=0
Answer:
x = ± 3 and ± 2
Step-by-step explanation:
The given quadratic equation is
[tex](x^{2}-1)^{2}-11(x^{2}-1)+24=0[/tex]
To make this question easier we will consume ( x² -1 ) = a
a² - 11a + 24 = 0
Now we can factorize this equation easily
a²- 8a - 3a + 24 = 0
a (a-8) - 3 ( a-8) = 0
( a-3 ) ( a-8 ) = 0
Therefore, a - 3 = 0 ⇒ a = 3
or a - 8 = 0 ⇒ a = 8
Now we put the value a
when a = 3 (x² - 1) = 3
x² = 3 + 1 = 4
x = √4
= ± 2
when a = 8 (x² - 1) = 8
x² = 9
x = √9
= ± 3
Therefore, x = ± 3 and ± 2 will be the answer.
The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9. what is the sample standard deviation?
Hence, the sample standard deviation is:
1.1832
Step-by-step explanation:The data is given by:
8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9.
The mean of these data points is given by:
[tex]Mean(x')=\dfrac{8+8+8+5+9+8+7+6+6+7+7+7+7+9+9}{15}\\\\i.e.\\\\Mean(x')=\dfrac{111}{15}\\\\i.e.\\\\Mean(x')=7.4[/tex]
Now,
x x-x' (x-x')²
8 8-7.4=0.6 0.36
8 8-7.4=0.6 0.36
8 8-7.4=0.6 0.36
5 5-7.4= -2.4 5.76
9 9-7.4=1.6 2.56
8 8-7.4=0.6 0.36
7 7-7.4= -0.4 0.16
6 6-7.4= -1.4 1.96
6 6-7.4= -1.4 1.96
7 7-7.4= -0.4 0.16
7 7-7.4= -0.4 0.16
7 7-7.4= -0.4 0.16
7 7-7.4= -0.4 0.16
9 9-7.4=1.6 2.56
9 9-7.4=1.6 2.56
∑(x-x')²=19.69
Now the variance of the sample population is given by:
[tex]Variance=\dfrac{\sum (x-x')^2}{n-1}[/tex]
where n is the number of data points.
Here n= 15
Hence, n-1=14
Hence, we get:
[tex]Variance=\dfrac{19.6}{14}\\\\i.e.\\\\Variance=1.4[/tex]
We know that the standard deviation is the square root of the variance.
i.e.
[tex]Standard\ deviation=\sqrt{1.4}\\\\i.e.\\\\Standard\ deviation=1.1832[/tex]
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A triangle has side lengths of 7, 24, and 26. Is the triangle right, acute, or obtuse? a. right c. obtuse b. acute Please select the best answer from the choices provided A B C
Answer:
Option C. Obtuse
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
If [tex]c^{2}=a^{2} +b^{2}[/tex] ----> is a right triangle
If [tex]c^{2}>a^{2} +b^{2}[/tex] ----> is a obtuse triangle
If [tex]c^{2}<a^{2} +b^{2}[/tex] ----> is an acute triangle
where
c is the greater side
Verify
[tex]c^{2}=26^{2}= 676[/tex]
[tex]a^{2} +b^{2}=7^{2} +24^{2}=625[/tex]
therefore
[tex]676>625[/tex]
[tex]c^{2}>a^{2} +b^{2}[/tex] -----> is a obtuse triangle
f(x)=e^(x) where it is translated 1 unit right and 2 units down
hey can you please help me posted picture of question
The polar coordinates of a point are given. find the rectangular coordinates of this point.(5, 3pi/4
If the mean waiting time for the next arrival is 12 minutes, what is the median waiting time? 8.3 minutes 12 minutes 9.1 minutes 7.2 minutes
Since the mean waiting time is 12 minutes, the median waiting time would also be 12 minutes.
Here's how we can find the median waiting time:
Since the mean waiting time is 12 minutes, it means that if you were to add up all the waiting times of different arrivals and divide by the number of arrivals, you would get 12 minutes.
Now, for the median waiting time, we're looking for the value that falls exactly in the middle of all the waiting times.
If the distribution is symmetrical, which is often the case with waiting times, the mean and median will be the same.
A right cylinder has a radius r of 19.4 cm and a height h of 48.3 cm. what is the volume of the cylinder in m3
If f(3) = 11 and f '(x) ≥ 2 for 3 ≤ x ≤ 8, how small can f(8) possibly be?
Given the derivative f '(x) ≥ 2, the function f(x) increases by at least 2 units for every increase in 'x' from 3 to 8. Therefore, the smallest possible value of f(8) is reached when the increase is exactly 2 per 'x', giving us a result of 21.
Explanation:
The question is about calculus, specifically related to the concept of derivatives and their role in function interval analysis. Given the information that f(3) = 11 and f '(x) ≥ 2 for 3 ≤ x ≤ 8, we are asked to find the smallest possible value of f(8).
The derivative, f '(x), represents the rate of change of the function f(x). It is mentioned that f '(x) ≥ 2, which means that the function f(x) is increasing at a rate not less than 2 units per increase in 'x' from 3 to 8.
This suggests that the smallest possible value of f(8) could be achieved by assuming that f(x) increases exactly by 2 units for every increase in 'x'. So, from x = 3 to x = 8 is a change of 5 units in 'x'. Multiply this by the rate of change 2 to obtain the total change in f(x), which is 5 * 2 = 10. Added to the initial value f(3) = 11, we get the smallest possible value for f(8) is 11 + 10 = 21.
Learn more about Derivatives here:https://brainly.com/question/32963989
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Fill in the blank 300mm =___m
Final answer:
To convert 300mm to meters, divide 300 by 1000 because there are 1000 mm in a meter, resulting in 0.3 meters.
Explanation:
To convert millimeters to meters, we use the conversion factor that 1000 mm equals 1 m. Therefore, to convert 300mm to meters, you divide 300 mm by 1000 because there are 1000 mm in a single meter. So, let's carry out the calculation:
300 mm ÷ 1000 = 0.3 m
Thus, 300 mm is equal to 0.3 meters.
for triangle cab find the length of a Side a
PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?
What are the different types of solutions that you can get when you solve a system of linear equations? Describe the graphs of these different types of systems.
Answer:
there are no solutions (lines do not intersect)there is one solution (lines intersect at one point)there are an infinite number of solutions (lines overlap—are the same line)Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
The lines may be parallel, hence never intersect. (No points will be on all the lines.)The lines may intersect at one point.The lines may be the same line, overlapping, identical, coincident, consisting of all the same points, an infinite number.Jewelry is commonly weight in carats.Five carats are equivalent to one gram.How many grams of gold are contained in 24-carat gold chain
The price of a pair of jeans at a store increased by 25% to $40. Find the price of the pair of jeans before the increase
(Giving Brainliest)
what is the solution to...
[tex]|x| +19 \leqslant 3[/tex]
Express Express 0.45 as a percent
To change 0.45 to a percent, we can move the decimal point 2 places to the right and add the percent sign.
If we move the decimal 2 places to the right, we will end up with 45 and then we will add the percent sign and it will become 45%
Therefore, 0.45 to a percent is 45%
Which of these points does not change its location when it is reflected across the y-axis? (2, 0) (0, 6) (3, 3) (–5, 5)
Answer:
-5,5
Step-by-step explanation:
Q9 Q11.) Complete the first and second equations of the system of equations.
A collection of dimes and quarters worth $9.25. There are 46 coins in all. Find how many of each there are. How many dimes are there?
The poplution of Las vegas, Nevada has been increasing at an annual rate of 7.0%. If the poplution of las vegas was 478,434 in the year 1999, predict its population in 2010.
all real cube roots of 27
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3 NextReset
in the sport competition France won more gold medals than Italy, who won more good medals than Korea. if the total number of gold medals won by the consecutive intergers whose sum is 36. find the number of gold medals won by each.
using the quadratic formula to solve 7x^2-x=7, what are the values of x?
solve for x z= 19+2 (x+y)
Victor Malala has a net income of $1240.00 per month. If he spends $150.00 on food, $244.00 on a car payment, $300.00 on rent, and $ 50.00 on savings, what percent of his net income can he spend on other things?
For his phone service, Jason pays a monthly fee of $19, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $75.10.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.