Answers
Step-by-step explanation:
[tex] \frac{6x - 2}{30} = \frac{5x + 13}{36} \\ 36(6x - 2) = 30(5x + 13) \\ 6(6x - 2) = 5(5x + 13) \\ 36x - 12 = 25x + 65 \\ (36 - 25)x = (65 + 12) \\ 11x = 77 \\ x = \frac{77}{11} \\ x = 7[/tex]
You can use the properties that similar triangles have sides scaled.
The value of x is 7.
Since it is given that PTS ~ PQR, thus, let the scaling is done by factor f. Then we have:
[tex]|PT| = f \times |PQ|\\ |TS| = f \times |QR|\\ |SP| = f \times |RP|[/tex]
Thus, we get the ratio of length of PT and length of TS as:
[tex]\dfrac{|PT|}{|TS|} = \dfrac{f \times |PQ|}{f \times |QR|} = \dfrac{|PQ|}{|QR|}[/tex]
How to find the value x?Using the values specified in the given figure for above obtained equation, we get:
[tex]\dfrac{|PT|}{|TS|} = \dfrac{|PQ|}{|QR|}\\
\\
\dfrac{36}{30} = \dfrac{5x + 13}{6x-2}\\
\\
\text{Cross multiplying, the denominators},\\\\
36(6x-2) = 30(5x+13)\\
216x - 72 = 150x + 390\\
216x - 150x = 390 + 72\\
66x = 462\\\\
x = \dfrac{462}{66}\\\\
x = 7[/tex]
Thus, the obtained value of x is 7.
Learn more about similar triangles here:
https://brainly.com/question/19387334
Related Questions
Select three ratios that are equivalent to 5:2
Choose 3 answers:
(Choice A)
A
2:5
(Choice B)
B
10:4
(Choice C)
C
20:50
(Choice D)
D
35:14
(Choice E)
E
55:22
Answers
Answer:
B,D,E
Step-by-step explanation:
b-multiply by 2 for both
d- multiply by 7 for both
e-multiply by 11 for both
HELP ASAP PLS I RLLY NEED HELP
Answers
Answer:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Please he me the correct answer
Answers
Answer:
It will cost $215 for 2 guests to rent a cabin.
Step-by-step explanation:
$175+20(2)=$215
The total for both 2 guests are $390. Each time someone rents a cabin they have to add $20 more. $175+$20+$195. So $195 will the cost for a cabin for a guest. But we need 2 cabins which means to multiply $195 with 2 which gives you $390. So both 2 guests needs $390 to rent 2 cabin.
6x - 12 y = 24
-X-6y=4
Answers
Answer:
x=2
y=-1
Use the system of equations to solve for it
What is the approximate area of the circle shown below?
A. 251 in
B. 5027 in 2
C. 126 in2
D. 20,106 in?
Answers
Answer:
B. 5027 in²Step-by-step explanation:
Area of a circle = π r²
where r = 80/2 = 40 in
plugin value of r=40in into the formula:
Area of a circle = π r²
= π (40)²
= 5027 in²
is 3 1/4 a rational number
Answers
Answer: Yes the mixed 3 1/4 is a rational number.
Step-by-step explanation:
The price of a math book after a discount of 25% is $45, find the original price of the book.
Answers
Answer:
Step-by-step explanation:
let original price be x
x=45/(1-25/100)= 45/(1-0.25)=45/.75=60
x=60
Answer:
25 percent off 45.00 is 33.75. The difference is 11.25. Hope that helps :)
Step-by-step explanation:
What are the slope, m, and the y-intercept, B, of a line that pases through the points (-2,1)and (8,-5)?
A. m=-5/3 and b=-7/3
B. m=-3/5 and b=-1/5
C. m=-3/5 and b=11/5
D. m=5/3 and b=13/3
Answers
Answer:
B. m= -3/5 and b= -1/5Step-by-step explanation:
Given points:
(-2, 1) and (8, -5)Slope is:
m = (y2 - y1)/(x2 - x1)m = (-5 - 1)/(8 - (-2)) = -6/10 = -3/5m = -3/5Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:
1 = (-3/5)*(-2) + b1 = 6/5 + bb = 1 - 6/5b = - 1/5Correct option is B.
Step-by-step explanation:
[tex] m \: = \: -3/5 \: and \: b \: = \: -1/5[/tex]
Please tell me how to do this or give me the answer either one is fine with me!!!!
:)
Answers
Answer:
16.85 cm²
Step-by-step explanation:
Find the area of the small circle then subtract the area of the large circle by the small circle
Area of small circle :
πr², where r = 4cm
π(4²) = 50.27 cm²
67.12 - 50.27 = 16.85 cm²
Which expression is equivalent to x^5 • x^2?
x^3
x^7
x^10
(x + x)^7
Answers
Answer: x^7
Step-by-step explanation: x5*x2
=(x*x*x*x*x)*(x*x)
=x*x*x*x*x*x*x
=x7
HELP PLEASE I ONLY NEED THESE LAST ONES
Answers
Answer:
For the first one its 600 yards...and for number 6 its 351.86
Noam solved the equation for k using the following calculations. k-7.6 = 10.35 + 7.6 +7.6 k= 1741 What error, if any, did he make? He should have subtracted 7.6 instead of adding it. He should have subtracted 10.35 from both sides. O He made a computation error when he added 10.35+746. O He made a computation error when he added -7.6 and 7.6.
Answers
Answer: C- He made a computation error when he added 10.35+7.6.
Step-by-step explanation:
Noam did not line up the decimals when he was adding 10.35 and 7.6. So if you line up the decimals, you would get 17.95 instead of 17.41.
Answer
C.
Step-by-step explanation:
He made a computation error when he added 10.35+746.
*Cough* E d g e n u i t y *Cough*
Sorry I think I am coming down with something...
*Cough* It's right *Cough*
Please give me brainliest!!
Chloe needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.5 hours and charged her $197 for parts.
The total was $389.50. What was the cost of labor, per hour?
Answers
Answer:
he took $55.8for 1hr
Step-by-step explanation:
it's because we should devid eit for calculation for minute
At the instant when the radius of a cone is 3 inches, the volume of
the cone is increasing at the rate of 9 pi cubic inches per minute. If
the height is always 3 times the radius, find the rate of change of the
radius at that instant.
Answers
Answer:
The rate of change of the radius of the cone when the radius is 3 inches is 0.[tex]\overline 3[/tex] inch/minute
Step-by-step explanation:
The given parameters are;
The radius of the cone = 3 inches
dV/dt = 9·π in.³/min
The height, h = 3 × Radius, r
The formula for the volume of a cone, V is V = 1/3×π×r²×h = 1/3×π×r²×3×r = π·r³
Therefore, we have;
dV/dt = dV/dr × dr/dt
dV/dr =3·π·r²
∴ dr/dt = dV/dt/(dV/dr) = 9·π/(3·π·r²) = 3/r²
When r = 3 inches, we have;
dr/dt = 3/r² = 3/(3²) = 1/3 inch/minute
The rate of change of the radius of the cone when the radius is 3 inches = 0.[tex]\overline 3[/tex] inch/minute
What goes on the lines I don’t understand the problem
Answers
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = [tex]-\frac{5}{3}x+14[/tex]
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
1. Fill in the blank: When I text, I mostly misspell '----' as '---'.
2. Fill in the blank: When I text, my autocorrect changes '---' to '----'.
3. True or false: You have more than one Brainly account.
4. True or false: The Eiffel Tower is high like your grades.
5. (Optional) 3x+4=13 solve for x
6. What's your Hogwarts house?
7. Draco or Harry?
8. Remus Lupin or Serius Black?
9. True or False: KPOP is trash.
10. True or False: KPOP is everything.
Answers
When i text i mostly misspell, carrot as caroot
When i text, my autocorrect changes rat to fat.
False
True B)
Answer:
5 : x=3
Step-by-step explanation:
70 points!!! Which of the following is an arithmetic sequence with common difference –5?
A. 5, 25, 125, 626, ...
B. 5, -25, 125, -625 ...
C. 8, 3, -2, -7 ...
D. 0, 5, 10, 15 ...
Answers
Answer:
c
Step-by-step explanation:
This is c because the numbers in c are moving down by -5.
Answer:
I would say b
Step-by-step explanation:
-5 times 5 is -25
-5 times -25 is 125 ect
Joseph drove to Carly’s house for dinner. He was away from his house for 2 hours. He spent 50minutes at Carly’s house. Driving to and from Carly’s house he drove at a speed of 45mph. How far away from Carly does Joseph live?
Answers
70 miles
Hope this helps
-Millie
PLEASE ANSWER ASAP TY
In triangle ABC below, BD is the altitude. Find the length of DC. Leave your answer in
simplified radical form.
Answers
Answer:
Step-by-step explanation:
Step 1: Find AB Use Pythagoras Theorem
AB = [tex]\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}[/tex]
Step 2: Find the Area of the triangle ABC
Area = [tex]\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}[/tex] = [tex]16\sqrt{5}[/tex]
Step 3: Find BD. Use the area of the triangle above
Area = [tex]\frac{1}{2}BD.AC[/tex]
We already known the Area and AC so, we just plug all the number in
BD = [tex]\frac{2. Area}{AC}[/tex] = [tex]\frac{2.16\sqrt{5}}{12}[/tex] = [tex]\frac{8\sqrt{5}}{3}[/tex]
Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC
DC = [tex]\sqrt{BC^{2}-BD^{2} }[/tex] = [tex]\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}[/tex] = [tex]\frac{16}{3}[/tex]
please help it’s due today
What is the equation of the line in point-slope form that passes through the point (7,-4) and has a slope of 1/2 ?
a. y+ 7 = 1/2 (x – 4)
b.y-7= 1/2 (x + 4)
c.y - 4 = 1/2 (x + 7)
d.y+4 = 1/2(x - 7)
Answers
Answer:
d. [tex]y+4=\frac{1}{2}(x-7)[/tex]
Step-by-step explanation:
Here m=1/2 and (x1, y1)=(7, -4)
Equation of line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Therefore
[tex]y+4=\frac{1}{2}(x-7)[/tex]
There are 50 carpenters in a crew. On a certain day, 15
were present. What percent showed up for work?
Answers
Answer:
30
Step-by-step explanation:
15:50*100 = ( 15*100):50 = 1500:50 = 30
Answer:
thirty
Step-by-step explanation:
cuz dis bussin. duh.
Determine the intercepts of the line.
Answers
Answer:
Y-intercept: (0, 0.4)
X-intercepts: (0.3, 0)
Answer:
The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)
Step-by-step explanation:
To find the intercepts of the line, you need to see what points lie on the x and y-axis.
Simplify
-6 - 7(c + 10)
A 64 - 7c
B -76 - 7c
C 4 - 13c
D -16 - 13c
Answers
-6-7c-70
-76-7c
B
Percents
Michael is leaving a 15% tip for his waitress. What percent of the
original price will he pay? Write your answer as a percent, decimal,
and fraction.
Answers
Given that,
Michael is leaving a 15% tip for his waitress.
To find,
What percent of the original price will he pay.
Solution,
Let the original price was 100%.
When he leaves a 15% tip for the waitress, he is really paying 100%+15%=115% of the original price.
[tex]115\%=\dfrac{115}{100}\\\\=1.15[/tex]
or
[tex]\dfrac{115}{100}=\dfrac{23}{20}[/tex]
So, this is the required solution.
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standard deviation of σ=5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen product.
Find the mean of T.
Answers
Answer:
The mean of T is 10 seconds
Step-by-step explanation:
The given parameters are;
The mean completion time of each step, μ = 10 seconds
The standard deviation, σ = 5 seconds
Each step is independent from the other steps
The variable that represents the total completion time for the three steps = T
We have the mean of T, [tex]\overline T[/tex], given by the combined mean as follows;
[tex]\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }[/tex]
Where;
[tex]The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds[/tex]
n₁ = n₂ = n₃ = 1, each step is taken only once, we have;
[tex]\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds[/tex]
Therefore, the mean of T = 10 seconds
Using the normal distribution, it is found that the mean of T is of 30 seconds.
A normal distribution has two parameters: Mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].In this problem, the mean is [tex]\mu = 10[/tex] and the standard deviation is [tex]\sigma = 5[/tex].
For the total completion, there are 3 instances, hence [tex]n = 3, n\mu = 3(10) = 30[/tex], hence, the mean of T is of 30 seconds.
A similar problem is given at https://brainly.com/question/24085252
Karl drove 612.9 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gallons of gas Karl used? Select all that apply.
A 1.4 gallons
B 15 gallons
C 14 gallons
D 1.5 gallons
E 140 gallons
Answers
Answer:
B. 15 gallons
Step-by-step explanation:
We don't need an exact answer, so we estimate
To do this, we round
41 is a tens number, so I'm going to round to the nearest 10
40
612.9 is a hundreds number, so I'm rounding to the nearest hundred
600
for EACH gallon, the car drives(roughly) 40 miles. If I have driven(roughly) 600 miles, that means I have used 600/40=15 gallons
The length of a rectangle is 2 feet more than twice the width. The perimeter is 34 feet. What are the dimensions of the rectangle?
Answers
Answer:
5 feet
Step-by-step explanation:
5(2) + 2 = 12
12 x 2 = 24
5 x 2 = 10
10 + 24 = 34.
Hope It Helps!
The dimensions of a rectangle are;
Length = 32 feet
Width = 15 feet
Here,
The length of a rectangle is 2 feet more than twice the width.
The perimeter of a rectangle is 34 feet.
What are the dimensions of the rectangle?
The two main dimensions of a rectangle are length (L) and width (W).
Now,
Let width of the rectangle is x
Then, length of rectangle is 2x + 2
The perimeter of a rectangle is 34 feet.
⇒ x + x + (2x + 2) +( 2x + 2) = 34
⇒ 6x + 4 = 34
⇒ 6x = 30
⇒x = 5
Hence, The dimensions of a rectangle are;
Length = 2x + 2 = 32 feet
Width = x = 15 feet
Learn more about The dimensions of a rectangle visit:
https://brainly.in/question/587424
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Tyson brought a bag of coins into the bank to be counted. The bag contained only nickels and
dimes. There were a total of 220 coins and the total value of those coins was $15.50.
Use what you have learned about systems of linear equations to determine how many of the coin
were nickels and how many were dimes. Then, fill in the blanks below with your answer.
number of nickels is
number of dimes is
Answers
There will be 130 nickels and 90 dimes. 100 nickels is 5 dollars. 90 dimes are 9 dollars. And then there will be 30 left. 30 dimes isn’t 1.50$ bur 30 nickels is 1.50$ so you add the 30 to the nickels and it’ll be exactly 15.50$.
Answer:
15 50..…......................
Characterize the slope of the line in the graph,
A. Positive
B. Negative
C. Zero
D. Undefined
Answers
i’m not positive sorry if i’m wrong
A department store buys 100 shirts at a cost of $700 and sells them at a selling price of $10 each. Find the percent markup
Answers
Answer:
30%
Step-by-step explanation:
The price for each shirt to buy is: $ 700/100 = $ 7 / each
Selling price is: $ 10 / each
So the difference between the selling and buying prices is: $ 10 - $ 7 = $ 3
So 100 each, the interest is: $ 3 X100 = $ 300 => 30%