After substituting the number of members into the equation and solving for the total cost, Elise's 5-member team's entry fee into the race is $25.
Explanation:The total cost of entering a team into a 5-kilometer race can be modeled by the linear equation -2x + y = 15, where x is the number of members on the team and y is the total cost. To calculate the total cost for Elise's 5-member team, we need to substitute x = 5 into the equation and solve for y.
First, we multiply the number of members by the additional cost per member: 5 members × $2/member = $10. Then, we add the team entry fee to get the total cost: $15 (team entry) + $10 (members) = $25. Therefore, the total cost for Elise's team is $25.
Final answer:
To find the total cost for Elise's team of 5 members, substitute x=5 into the equation -2x + y = 15 and solve for y to get the total cost of $25.
Explanation:
The student's question involves finding out the total cost of entering a team in a 5-kilometer race with a given equation that models the costs based on the number of team members. The equation provided is: -2x + y = 15, where x is the number of members on the team, and y is the total cost. To find the total cost for Elise's team that has 5 members, we replace the variable x with the number 5 in the equation and solve for y:
-2(5) + y = 15
-10 + y = 15
y = 25
The total cost for Elise to enter a team with 5 members in the race is $25.
Can someone tell me if the answer is correct?
A company need to package hazardous chemicals in special plastic rectangular prism containers that had 80 cubic feet. Find the whole number dimensions of the container that would use the least amount of plastic.
To package hazardous chemicals in special plastic containers the dimensions of the container should be 4 × 4 × 5 feet.
A rectangular prism with a volume of 80 cubic feet needs to be designed to use the least amount of plastic. To do this, we need to find the dimensions (length, width, height) that, while maintaining the given volume, result in the minimum surface area.
The volume of a rectangular prism is given by:
Volume = length × width × height
For our case: length × width × height = 80 cubic feet
To minimize the surface area, the dimensions should be close to a cube as this shape has the smallest surface area-to-volume ratio. We will seek integer dimensions. The formula for the surface area (SA) of a rectangular prism is:
SA = 2(length × width + width × height + height × length)
We start by considering potential combinations of whole numbers whose product is 80:
1 × 1 × 801 × 2 × 401 × 4 × 201 × 5 × 161 × 8 × 102 × 2 × 202 × 4 × 102 × 5 × 84 × 4 × 5Calculating the surface area for each configuration:
1 × 1 × 80: SA = 2(1×1 + 1×80 + 80×1) = 2(1 + 80 + 80) = 322 sq. feet1 × 2 × 40: SA = 2(1×2 + 2×40 + 40×1) = 2(2 + 80 + 40) = 244 sq. feet1 × 4 × 20: SA = 2(1×4 + 4×20 + 20×1) = 2(4 + 80 + 20) = 208 sq. feet1 × 5 × 16: SA = 2(1×5 + 5×16 + 16×1) = 2(5 + 80 + 16) = 202 sq. feet1 × 8 × 10: SA = 2(1×8 + 8×10 + 10×1) = 2(8 + 80 + 10) = 196 sq. feet2 × 2 × 20: SA = 2(2×2 + 2×20 + 20×2) = 2(4 + 40 + 40) = 168 sq. feet2 × 4 × 10: SA = 2(2×4 + 4×10 + 10×2) = 2(8 + 40 + 20) = 136 sq. feet2 × 5 × 8: SA = 2(2×5 + 5×8 + 8×2) = 2(10 + 40 + 16) = 132 sq. feet4 × 4 × 5: SA = 2(4×4 + 4×5 + 5×4) = 2(16 + 20 + 20) = 112 sq. feetThus, the dimensions 4 × 4 × 5 feet are the ones that use the least amount of plastic, giving a surface area of 112 sq. feet.
What is the common ratio of the sequence. -2,6,-18,54
Answer: The required common ratio of the given geometric sequence is -3.
Step-by-step explanation: We are given to find the common ratio of the following geometric sequence :
-2, 6, -18, 54, . . .
We know that
if a(n) denotes the nth term of a geometric sequence, then the common ratio is given by
[tex]r=\dfrac{a_{n+1}}{a_{n}}.[/tex]
For the given sequence, we see that
[tex]\dfrac{a(2)}{a(1)}=\dfrac{6}{-2}=-3,\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{-18}{6}=-3,\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{54}{-18}=-3,\\\\\vdots[/tex]
Therefore, the common ratio is given by
r = -3.
Thus, the required common ratio of the given geometric sequence is -3.
Ravi is driving 440440 miles to visit his grandma. He drives at a rate of 5555 miles per hour. How many hours will it take him to get 3434 of the way there?
How would you solve for side a? Pythagorean theorem, cause if that's the case wouldn't
a=?
b=15
c=7
But we know that 2 sides of a triangle can't be greater than the third (or am I getting that rule wrong?)
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
Factor by grouping m^2 +8mn -3mn-24n^2
20 POINTS
Two consecutive integers have a sum of 45 . find the integers.
PLESSSSSS HELP WILL CROWN BRAINLIEST!!!! 20PTS!!!!!!!!!!!!
Three weeks ago John bought stock at 49 1/4 ; today the stock is valued at 49 7/8. We could say the stock is preforming at which of the following?
Solution:
Value of Stock three weeks ago = [tex]49 \frac{1}{4}[/tex]
Current value of stock = [tex]49 \frac{7}{8}[/tex]
Total increase= [tex]49 \frac{7}{8}[/tex]-[tex]49 \frac{1}{4}[/tex]=[tex]\frac{5}{8}[/tex]
So, we can conclude from above two observation, that
The market value of that stock or bond has rose higher the reason being value of the organization or product i.e stock is slanting in upward direction.Why value of organization has increased because company has cordial relationship with it's employees, clients and the people attached with this organization, means distribution of profit is equally shared between owner and people attached with this organization.
Anne had 28 pens, but 23 of them ran out of ink. How many of Anne's pens still have ink?
___of Anne's pens still have ink.
does the function y=4^-2x represent an exponential growth or decay? what is the percent rate of change?
The function y=4^-2x represents exponential decay. The percent rate of change is 6.25%.
Explanation:The function y=4-2x represents exponential decay. In an exponential decay function, as the value of x increases, the value of y decreases. On the other hand, in exponential growth, as the value of x increases, the value of y increases.
The percent rate of change can be found by determining the decay factor, which is equal to 1 divided by the base of the exponential function raised to the power of the exponent.
In this case, the decay factor would be 4-2 = 1/16. To find the percent rate of change, we can convert the decay factor to a percentage by multiplying it by 100%, so the percent rate of change would be 1/16 * 100% = 6.25%.
Trevor is going to Debra's Steakhouse and really wants filet for dinner and creme brulee for dessert. He knows that the probability of getting a filet at Debra's is 0.9 and the probability of creme brulee being a desert is 0.77. If he knows the two events are independent of one another, show the calculation for P(getting a steak and getting a creme brulee)
Answer:
(0.9)(0.77)
Step-by-step explanation:
(0.9)(0.77)
Since the two events are independent you can use the multiplication rule
The diameter of the circle above is 98 cm. What is the circumference of the circle?
which of these equations represent functions where x is the input and y is the output? Select each correct answer.
A- x=5
B- y=4
C- y=3x
D- x=3y
E- x+y=5
help me....................
Simplify: (8x4)(4x3)/7x2
A. 32x5/7
B. 1/28x
C. 1/3x
D. 7/9x4
Step-by-step explanation:
The answer is A: (32 × ^5)/7
Team tool Bella gathered 15 pounds of wood in 1/3 of an hour. What was their speed in pounds per hour.
Team tool Bella gathered 15 pounds of wood in 1/3 of an hour.
1/3 of an hour is equal to 1/3 of 60 mins = 1/3 * 60 mins = 20 mins
We have to find their speed in pounds per hour( 60 mins).
Pounds of woods gathered in 1 hour or 60 mins = 15/20*60
= 15 * 3
= 45 pounds
Therefore, their speed in pounds per hour is 45 pounds / hour
Hope this helps ..!!
Thank you :)
MATH HELP!!!
Dwight's gross semimonthly pay is $1220. To maintain his current lifestyle, how much should he save up by the time he retires?
$292800
$317200
$702720
$761280
Answer:
292,800
Step-by-step explanation:
1220*24 (24 is semimonthly)=29,280
Then you want to multiply by 10
29280*10=292,800
Dwight's save up by the time he retires will be 292800$
Dwight's gross semimonthly pay is $1220
What is the meaning of semimonthly?
semimonthly means two times per month
Semimonthly for per year is,
12(2)=24
Dwight's gross semimonthly pay is $1220.
1220*24 (24 is semimonthly)=29,280
For one year the amount will be 29280
Then you want to multiply by 10
29280*10=292,800
Therefore Dwight's save up by the time he retires will be 292800$.
To learn more about the saving visit:
https://brainly.com/question/25787382
Part 1.] In two or more complete sentences, describe the difference between an infinite series and a finite series.
Part 2.] In two or more complete sentences, explain why the following sequence is an example of a finite series.
2 + 4 + 8 + 16 + ... 256
Part 3.] In two or more complete sentences describe why the following series is an example of an infinite series.
1 + 2 + 3 + 4 + 5 + ...
Part 4.] The first picture
Part 5.] Express the series in summation notation.
2 + 4 + 6 + 8 + 10 + 12
Part 6.] Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $____
Part 7.] Find the sum picture
Answer:for oddysey the answer to number 6 is 10833
Step-by-step explanation:
Answer Check!! Which domain restrictions apply to the rational expression.
[tex]1,\frac{1}{8},\frac{1}{27},\frac{1}{64},...,\frac{1}{n^{3}},...[/tex]
The denominator of the seventh term is
A.] 125
B.] 216
C.] 343
D.] 513
Answer:
the answer is C.] 343
Does the point ( 3 , 3 ) lie on the circle that is centered at the origin and contains the point (3, 0)? Why?
A) Yes, because ( 3 )2 + ( 3 )2 = 9
B) Yes, because you can create always create a circle through two given points. C) No, because ( 3 , 3 ) is less than 3 units away from the origin.
D) No, because ( 3 , 3 ) is greater than 3 units away from the origin.
Answer:
Its actually C his whole explanation is wrong
Step-by-step explanation:
help me please ASAP !!!!!
The three sides of a triangle are in the ratio 2:3:5. If the longest side of the triangle is 45m, find the perimenter of the triangle
The expression 146 ÷ 144 is equal to _____. 142 2 1410 1
The correct answer is 1.
To solve this problem, we need to evaluate the expression [tex]146 \div 144[/tex]and determine which of the given options it is equal to.
The calculation can be represented as:
[tex]146 \div 144 = \frac{146}{144}[/tex]
We can simplify this fraction by finding the common factor between the numerator and denominator and dividing both by that factor.
[tex]\frac{146}{144} = \frac{73 \times 2}{72 \times 2} = \frac{73}{72}[/tex]
Now, we can divide the numerator by the denominator to find the final value.
[tex]\frac{73}{72} = 1.0138\overline{8}[/tex]
Therefore, the expression [tex]146 \div 144[/tex] is approximately equal to 1.
Complete question:
The expression [tex]146 \div 144[/tex] is equal to _____.
A) [tex]142[/tex]
B) [tex]2[/tex]
C) [tex]14^{10}[/tex]
D) [tex]1[/tex]
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need…
to make 1.5% of syrup
1.) Four teachers bought an old boat for $60.
The first teacher paid one-half of the sum of the amounts paid by the other teachers.
The second teacher paid one-third of the sum of the amounts paid by the other teachers.
The third teacher paid one-fourth of the sum of the amounts paid by the other teachers.
How much did the fourth teacher pay?
2.) What is the smallest number of coins that you need so that you can give exact change for any amount from 1 cent to 99 cents?
Show your work please. Any improper answers will be reported and removed- thanks!
:) Have fun!
Which of the following is equivalent to log7 50 rounded to three decimal places?
2.010
1.772
0.854
0.497
Answer:
Option A - [tex]log_7 50=2.010[/tex]
Step-by-step explanation:
Given : The expression [tex]log_7 50[/tex]
To find : Which of the following is equivalent and rounded to three decimal places.
Solution :
We solve the given expression [tex]log_7 50[/tex] using calculator
We get, [tex]log_7 50=2.0103821378[/tex]
Rounded to three decimal places
[tex]log_7 50=2.010[/tex]
Therefore, Option A is correct.
helppppppppppppppppp