3) The length of JM is 9x + 6 units, the length of JK is
5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8
Answer:
[tex] JM = 60 units [/tex]
Step-by-step explanation:
Given:
[tex] JM = 9x + 6 [/tex]
[tex] JK = 5x [/tex]
[tex] KM = 3x + 12 [/tex]
[tex] JK + KM = JM [/tex] (segment addition postulate)
[tex] (5x) + (3x + 12) = (9x + 6) [/tex] (substitution)
Solve for x
[tex] 5x + 3x + 12 = 9x + 6 [/tex]
Collect like terms
[tex] 5x + 3x - 9x = -12 + 6 [/tex]
[tex] -x = -6 [/tex]
Divide both sides by -1
[tex] x = 6 [/tex]
[tex] JM = 9x + 6 [/tex]
Plug in the value of x
[tex] JM = 9(6) + 6 [/tex]
[tex] JM = 54 + 6 [/tex]
[tex] JM = 60 units [/tex]
Let f(x) = x^2 - 2 and h(x) = x - 1;
compute h(f(2))
Answer:
1
Step-by-step explanation:
2^2-2=2
2-1=1
hopefully you will find it helpful
Michael received $275 more from relatives than friends. He received $4275 dollars in all, how much money did he receive from relatives and how much money did he receive from friends?
Answer:
4000 thousand from relatives and 275 from friends
Answer:
Michael received $2275 ftom relatives and $2000 from friends
Step-by-step explanation:
Let r represent the amount of money from relatives
Let f represent the amount of money from friends
f+r=4275
f+275=r
Use substitution, f+(f+275)=4275
2f+275=4275
2f=4000
f=2000
Substitute 2000 in for f
2000+275=r
2275=r
ANSWER:
Micheal received $2275 from relatives and $2000 from friends
$46 for 5 toys
$ / toy
Answer:
$9.20 for 1 toy
Step-by-step explanation:
If it's $46 for 5 toys, we can divide both $46 and 5 to get $9.20 for 1 toy.
Pls can y’all tell me how many points will Tessa have scored in all ?
Answer: 48 points
Step-by-step explanation:
i hope this helps
The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent
ratio.
Answer:
54
Step-by-step explanation:
It’s getting multiplied by 3
so if 6x3=18 then 18x3=54
:DDD
To which expression does 3(a + 2b) - 3a simplify? a. -6a + 6b c. 2b b. 3a + 6b d. 6b
Answer:
d. 6b
Step-by-step explanation:
Simplify the following:
[tex] \longrightarrow [/tex] 3(a + 2b) - 3a
3(a + 2b) = 3a + 6b:
[tex] \longrightarrow [/tex] 3a + 6b - 3a
Grouping like terms,
3a + 6b - 3a = 6b + (3a - 3a):
[tex] \longrightarrow [/tex] 6b + (3a - 3a)
3 a - 3 a = 0:
[tex] \longrightarrow [/tex] 6b
Lin runs 5 laps around a track in 6 minutes.
1. How many minutes per lap is that?
2. How many laps per minute is that?
3. If Lin runs 21 laps at the same rate, how long does it take her?
Step-by-step explanation:
its takes her 1.2 mins it would take her 126 mins
factor completely 16a^3-50a^2+36a
Answer: (2a+4)(8a-9)
Step-by-step explanation:
16a^3-50a^2+36a 16(36)=576
18,32( add to 50, multiply to 576)
16a^3+18a+32a+36
2a(8a-9)4(16-9)
(2a+4)(8a-9)
Sarah needs to find a plumbing company to fix the plumbing in her house. Pat’s Plumbing Company charges a flat rate of $650 to inspect the house plus $25.75 per hour of labor to fix the problem. Her friend Kristin tells her that AAA Plumbing will charge a fee on $675 to inspect the house and an hourly fee of $24.50 for labor. Kristin knows that AAA Plumbing will cost no more than Pat’s Plumbing Company. Which inequality correctly shows the relationship between the total cost of the two plumbing companies?
Answer:
An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]
Step-by-step explanation:
Pat’s Plumbing Company
Cost of inspecting house = $650
Cost of labor per hour = $25.75
Cost of labor in x hours = 25.75x
Total cost = 650+25.75x
AAA Plumbing
Cost of inspecting house = $675
Cost of labor per hour = $24.50
Cost of labor in x hours = 24.5x
Total cost = 675+24.5x
We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company
[tex]675+24.5x \leq 650+25.75x[/tex]
Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]
Answer:
carlo scored 65 out of 100 item in math. what percent of the test did he get correctly
place an x in the table to show the precent decrease from the first number to the second number. giving brainliest!!
Answer:
150 to 117 is 25%
340 to 255 is 25%
450 to 351 is 22%
Step-by-step explanation:
Answer:i added a picture, I hope it’s good.
150 - 22% = 117
340 - 25% = 255
450 - 22% = 351
¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo
Answer:
?
Step-by-step explanation:
what is the GCF of 3 and 18
Answer:
3
Step-by-step explanation:
3 is a factor of 3 and of 18.
Answer: 3
Answer:
3 is the GCF!!!!!!HOPE THIS HELPS!!!
hujknjk jk jjkjj help
Answer:
x≤ -7 or x≥ -4
Step-by-step explanation:
There is a closed circle at -7 and the line goes to the left
x≤ -7
There is a closed circle at -4 and the line goes to the right
x≥ -4
Since they both can't be true at the same time it is an or
x≤ -7 or x≥ -4
[tex]0=24-16t^2[/tex]
Answer:
Step-by-step explanation: Simplify both sides of the equation.
0=−16t2+24
Step 2: Add 16t^2 to both sides.
0+16t2=−16t2+24+16t2
16t2=24
Step 3: Divide both sides by 16.
16t^2/16=24/16
t^2=3/2
Step 4: Take square root.
t=± √ 3/2
t=1.224745,−1.224745
Compute the probability of Carl turning 44 years old (event A), given that Susan has reached the age of 44 (event B).
Answer:
Events A and B are independent of each other, so it would be 0.95726
Step-by-step explanation:
I’ll mark as brainliest!!
Answer:
7/10
Step-by-step explanation:
0.7 = 7/10
You can't simply further so this is the final answer.
Answer:
x = 7/9
Step-by-step explanation:
Let x = 0.7777.....
Multiply both sides by 10
10x = 7.7777......
x = 0.7777...... {Subtract}
9x = 7
x = 7/9
Fruit flies, like almost all other living organisms, have built-in circadian rhythms that keep time even in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior, such as the frequency of wingbeats in male courtship behaviors. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. But do these two mutations affect copulation time in similar ways? The following table summarizes some data on the duration of copulation for flies that carry either the tim mutation or the per mutation (Beaver and Giebultowicz 2004).
Mutation Mean copulation duration (min) Standard deviation of copulation duration Sample size, n
per 17.5 3.37 14
tim 19.9 2.47 17
Assume that the copulation time data are normally distributed. Do tim and per mutations lead to different mean copulation durations? Determine the absolute value of the test statistic for the appropriate test.
Answer:
The decision Rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to states that tim and per's mutations lead to different mean copulation duration.
The test statistics is [tex]z =-2.2187[/tex]
Step-by-step explanation:
From the question we are told that
The Mutation Mean copulation duration is for per [tex]\= x_1 = 17.5[/tex]
The Mutation Mean copulation duration is for tim [tex]\= x_2 = 19.9[/tex]
The Mutation Standard deviation copulation duration for is per [tex]s _1 = 3.37[/tex]
The Mutation Standard deviation copulation duration for is tim [tex]s _2 = 2.47[/tex]
The sample size for per is [tex]n_1 = 14[/tex]
The sample size for tim is [tex]n_2 = 17[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\=x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2 }{n_2} } }[/tex]
=> [tex]z = \frac{17.5 - 19.9 }{ \sqrt{\frac{3.37^2 }{14} + \frac{2.47^2 }{17} } }[/tex]
=> [tex]z =-2.2187[/tex]
From the z table the area under the normal curve to the left corresponding to -2.2187 is
[tex]P(Z < -2.2187) = 0.013254[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z <-2.2187 )[/tex]
=> [tex]p-value = 2 * 0.013254[/tex]
=> [tex]p-value = 0.02651[/tex]
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
So
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision Rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to states that tim and per's mutations lead to different mean copulation duration.
predict the number of roses in a garden with 16 sunflowers if there are 3 sunflower in a garden with 81 roses
juwad picked 30 bags of apples on Monday and sold them at his fruit stand for $3.45 each. The following week he picked and sold 26 bags. Each bag Juwad picked holds 15 apples. How many apples did he pick in two weeks?
Can someone help me figure this out?
Answer:
Option A
Step-by-step explanation:
62 and x are consecutive supplementary angles and so, x = 180 - 62 = 118
And this makes the lines parallel
Total sales is $55,000.
The commission is 3.5%.
Determine the commission .
Answer:
The commission is 1925
Step-by-step explanation:
This is because you are taking 3.5% of $55,000. After doing the percent you are left with $1925 which is the commission.
Hope I helped, Have a great day! :-)
The commission of the total sales of $55000 will be $1925.
What is the percentage?A specific number in every hundred is what is meant by the percentage. The percentage symbol percent is used to denote a fraction with 100 as the denominator.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.
Principle amount = $55000
Commision rate = 3.5%
3.5% of 55000 = (3.5 × 55000)/100
3.5% of 55000 = $1925
Hence the 3.5% commission of the amount of $55000 will be $1925.
For more about the percentage
brainly.com/question/13450942
#SPJ2
At a basketball game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
Hot dogs - 27, soda - 81
Step-by-step explanation:
Soda to Hot dog ratio = 3:1
If the total is 108, we can divide 108/4 ---> 27
now, multiply 3 and 1 by 27 and there you go!
edit: also if you don't know why I divided 108 by 4, its because you add together both sides of the ratio
Is brainly getting hacked?
Answer:
I think so
Step-by-step explanation:
6:what=1:3 what:30=8:5
Answer:
x = 18 and x = 36
Step-by-step explanation:
let unknown value is x
6:x = 1:3
product of means = product of extremes
6*3 = 1 *x
18 = x
x:30=8:5
product of means = product of extremes
5x=180
x=180/5
x=36
Sun-Li has 10 blue marbles, 3 red marbles, and 17 white marbles. Write each ratio in ALL three forms.
a.) blue marbles to red marbles =
b.) red marbles to white marbles =
c.) red marbles to total number of marbles =
Answer:
a.) 10:3
b.) 3:17
c.) 3:30
Step-by-step explanation:
There is 10 blue marbles, 3 red marbles, and 17 white marbles.
in total there is 30 marbles because 10+3=13 and 13+17=30.
the ratio of blue marbles to red marbles is 10:3 because there is 10 blue marbles to three red marbles.
the ratio of red marbles to white marbles is 3:17 because there is three red marbles to 17 white marbles.
the ratio of red marbles to total number of marbles is 3:30 because there is three red marbles to 30 marbles in total
Help me find the equation of the line please need it now
Giving extra points
Correct answer only
Answer:
Step-by-step explanation:
If AB ⊥ CD, then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
P( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
y = - 2x + 6 and P(3, 3) , m = - 2
Slope of ⊥ line is [tex]\frac{1}{2}[/tex]
y - 3 = [tex]\frac{1}{2}[/tex] ( x - 3 )
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] or y = 0.5x + 1.5
The triangles are congruent by the SSS congruence theorem.
Which transformation(s) can map ΔLMN onto ΔL'M'N'?
translation only
reflection only
rotation then translation
reflection then translation
Answer:
Rotation then Transition C on Edge.
Step-by-step explanation
Because im smart like that
A robot can complete 7 tasks in 5/6 hour. Each tasks takes the same amount of time. A. How long does it take the robot to complete one tasks? B. How many tasks can the robot complete in 1 hour?
Step-by-step explanation:
5/6 = 50 minutes
50 divided by 7 = (your answer)
Which systems have infinite solutions? Check all that apply. y = 0.5x + 2.75 and 2y = x + 2.75 y = 0.5x + 2.75 and y – 0.5x = 2.75 y = 0.5x + 2.75 and 0.5x + y = 2.75 y = 0.5x + 2.75 and y = 0.5(x + 5.5) y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75
Answer:
Three solutions
Step-by-step explanation:
Infinite solutions means each and every point satisfies both the equations which means there would be a graph that overlaps the original graph.
So compare the equations with the equation
y = 0.5x + 2.75
each and every equation in this form has infinitely many solutions like
y = 0.5x + 2.75 and y - 0.5x = 2.75 these both equations are same. So they have infinitely many solutions as they overlap each other. Furthermore
y = 0.5x + 2.75 and y = 0.5(x + 5.5)
y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75
all these 4 equations are the same which is y = 0.5x + 2.75 so three systems have infinite solutions we can confirm this by using the desmos online graphing calculator just insert these equations into it and you will see all these equations are the same just like for example
y = 2x and 2y = 4x
Answer: B, D, and E.
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!