9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
Given:
The lengths of the sides of a certain triangle, in feet, are consecutive even integers.The perimeter of this triangle is between 10 feet and 24 feet inclusive.Find:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
Solution:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
Your working is correct, but incomplete. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
The total number of equally-sized tiles on a circular floor
A. Circumference
B.Area
Answer:
area
Step-by-step explanation:
area............
The total number of equally-sized tiles on a circular floor is Area.
Given that, the total number of equally-sized tiles on a circular floor.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.
Hence, the total number of equally-sized tiles on a circular floor is Area.
Learn more about the area of a circle here:
https://brainly.com/question/28642423.
#SPJ3
A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
Answer:
20
Step-by-step explanation:
pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"
Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.
But From the question, the plane distance=400mile and the corresponding time =2.5 h
Then the speed of the plane=(s-k) =400mile/2.5
=160mph
By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.
From the question, the plane distance=400mile and the corresponding time =2 h
Then (s+k)= (400/2)
(s+k)=200mph
given a slope of 2 and point (-4,5) write an equation in point slope form
Answer:
y-5=2(x+4)
Explanation:
Point slope form is:
y-y1=m(x-x1)
We can plug in the point and the slope
y-(5)=(2)(x-(-4))
Remove parenthesis and simplify to:
y-5=2(x+4)
I need help I don’t know how to do this
Answer:
i need new friends
Step-by-step explanation:
Answer:
Angle 2 and angle 4 are corresponding angles, this is a transversal or since angles 1 and 3 are congruent and 2 and 4 are vertical to them, they are congruent. ,
Step-by-step explanation:
I Just want to know the difference in between graphing in two different ways...
Just, can someone tell me the difference between these if you can see how different they are? My subject is the Systems of Inequalities
Answer:
It's simple.
Step-by-step explanation:
Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x
Answer:
Step-by-step explanation:
4[tex]x^{4}[/tex]-x²+3 / x =
So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division
= 4x³- x + [tex]\frac{3}{x}[/tex]
On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine how many of these students will wear school colors on the next spirit day.
Answer:400
Step-by-step explanation:
Multiply the total number of students by the ratio given
5/7(560)
I need major help, I don't understand
Answer:
4, 10, 16, 22
Step-by-step explanation:
Plug in the variables according to the equation
So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like
A= 3(2)-2 which is A= 6-2 = 4
If we do the same for all of them then they would look like:
B= 3(4)-2
12-2= 10
C= 3(6)-2
18-2= 16
D= 3(8)-2
24-2=22
So youre basically replacing the f(x) and x by the table chart
I hope this helped :)
how to factor (x^3+3x^2)+(25x+75)
A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?
Answer:
2 : 3
Step-by-step explanation:
Given the square has a side of 6 in , then
perimeter = 4 × 6 = 24 in
area = 6² = 36 in²
Then ratio of perimeter : area
= 24 : 36 ( divide both parts by 12 )
= 2 : 3
solve the system equation
x-2y=27
y=5x
A (-4,-20)
B (3,25)
C (-3,-16)
D (-3,-15)
We will use substitution to solve this system for x.
[tex]x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3[/tex]
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
[tex]-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\[/tex]
We now have our solution.
D. [tex](-3, -15)[/tex]
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
[tex]-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27[/tex]
Since the equation checks out, our solution is correct.
(hellllppp) In which pair do both decimals represent rational numbers
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE HURRY AND HELP NOW !! PLEASE
Answer:
1. B
2. A
Step-by-step explanation:
I've done this before, very easy.
PLS HELP ME ;;;-;;;
I have the answer all I need is to show the work so pls help me with that
Find the value of X.
Answer:
X=11
Step-by-step explanation:
9x+6= (3x+2)+(70)
Simplify: 6x+6=72
6x+6=72
6x=66
x=11
Which one is correct
Answer:
7
Step-by-step explanation:
Answer:
7 m
Step-by-step explanation:
We see that the the side measuring 6 m corresponds to the side measuring 18 m. Also, the side measuring 8 m corresponds to the side measuring 24 m. In each case, the corresponding side of the right triangle is 3 times larger than the side of the left triangle. We divide 21 m by 3 to get 7 m.
Answer: 7 m
Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.
Answer:
a linear equation normally looks like y = mx + b, where m and b are constants, x is the independent variable, y is the dependent variable.
Step-by-step explanation:
The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?
Answer:
Therefore, the number of adults at the football game was 6.
Step-by-step explanation:
Let A represents the number of adults and C represents the number of children.
Therefore, the ratio of children to adults is given as follows:
23:1 = C:A ....................... (1)
Since C = 140, this is substituted into equation (1) as follows:
23:1 = = 140:A ....................... (2)
Transforming equation (2) and solve for A, we have:
23 / (23 + 1) = 140 / (140 + A)
23 / 24 = 140 / (140 + A)
0.958333333333333 = 140 / (140 + A)
0.958333333333333 (140 + A) = 140
(0.958333333333333 * 140) + 0.958333333333333A = 140
134.166666666667 + 0.958333333333333A = 140
0.958333333333333A = 140 -134.166666666667
0.958333333333333A = 5.833333333333
A = 5.833333333333 / 0.958333333333333
A = 6.08695652173878
Rounding to a whole number, we have:
A = 6
Therefore, the number of adults at the football game was 6.
*extra points* evaluate [tex]\sqrt[3]{2744}[/tex]
Answer:
14
Step-by-step explanation:
A company has 40 executives and 120 customer service representatives. If these are the only
employees, what percentage of the employees are executives? Explain how you determined the
percentage of employees are executives.
Answer:
25%.
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of Executives = 40
Number of customer service representatives = 120
Percentage of the employees that are executives =?
Next, we shall determine the total number of employees in the company. This can be obtained as follow:
Number of Executives = 40
Number of customer service representatives = 120
Total number of employees =?
Total number of employees = (Number of Executives) + (Number of customer service representatives)
Total number of employees = 40 + 120
Total number of employees = 160
Finally, we shall determine the percentage of the employees that are executives as follow:
Number of Executives = 40
Total number of employees = 160
Percentage of the employees that are executives =?
Percentage = Number of Executives/ total employees × 100
Percentage = 40/160 × 100
Percentage = 0.25 × 100
Percentage = 25%
Therefore, the percentage of the employees that are executives is 25%
Miguel drives 295 miles in 5 hours. How many miles does Miguel drive in 7 hours? *
Answer:
Step-by-step explanation:
If he drives 295 miles in 5 hours that equals to 59 miles in an hour.
So 7 hours at 59 miles per hour is 413 miles.
hi, Ryan and Abby I kinda need ur help :)
Answer:
6, 7, 63, 6, 7, 63, 130.9
Jut pit those numbers in the blanks
Answer:
63
Step-by-step explanation:
You have to multiply 10.5 by 6 and you get 63 then add that to 9.7 multipled by 7 and you get 130.9. Then subtract that by 67.9 and you get 63 to check add 63 to 67.9 and you get 130.9 so thereof the answer is 63.
Paul is buying lunch from a fast-food restaurant. He has 5 sandwiches, 7 sides, and 10 drinks to choose from. If Paul doesn’t want two of the sandwiches, how many possibilities for lunch can he have?
Answer:
He has 5 sandwiches, 7 sides, and 10 drinks to choose from
Step-by-step explanation:
Solve the following equation for A. Be sure to take into account whether a
letter is capitalized or not.
d - 4h = 30A
Step-by-step explanation:
d - 4h = 30A
A = (d-4h)/30
Topic: Algebraic equations + change of subject
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
Step-by-step explanation:
how do outputs and inputs and functions work?
Answer:
nvm someone answered
Step-by-step explanation:
14V + 6 = 2(5 + 7V) - 4
Answer:
0=0
Step-by-step explanation:
The input is an identity: it is true for all values
Tell me if you need an explanation :)
Answer:
V = Any Real Number
Step-by-step explanation:
14V + 6 = 10 + 14V - 4
14V = 14V
Could be any number
Evaluate the expression 2x-5 when x=3
Answer:
1
Step-by-step explanation:
as x=3
we substitute x with 3
so 2(3)-5
and 2(3) Is 6
so we do 6-5 which is 1
Answer: The answer is 1
Step-by-step explanation:
Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?
mY HAIR dOesNt GRoW FaStEr oN My HHeAD
Given the function f(x)=5x−6 find f(4).
Answer:
f(4)=14
Step-by-step explanation:
f(x)=5x-6
f(4)=5(4)-6
f(4)=20-6
f(4)=14
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 5x -6
f(4) = 5(4) - 6
f(4) = 20 - 6
f(4) = 14
Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver equally likely to make a free throw as he is to miss a free throw, find the probability of this outcome by expanding (m + n)8. Round to the nearest percent if necessary.
Answer: m
8 + 8 m 7 n + 28 m 6 n 2 + 56 m 5 n 3 + 70 m 4 n 4 + 56 m 3 n 5 + 28 m 2 n 6 + 8 m n 7 + n 8
Step-by-step explanation: Just use binomial theorem
The probability of this outcome by expanding (m + n)8 is 4.
What is Probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given:
Total free shots = 8
Oliver make free shots =6
Oliver missed free shots = 2
As, Oliver wanted the free throw and the free throw he missed turn both equal.
So,
=8 / 2
= 4.
Hence, probability of this outcome by expanding (m + n)8 is 4.
Learn more about probability here:
https://brainly.com/question/12629667
#SPJ2
The slope of the line that passes through the point (2,4) and (3,8)is
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4