2x + 12 = 18 - X
A. X= 3
B. X = 10
C. x = 6
D. X= 2
Answers
Related Questions
Pete, Dan, Ilya, Ed and Leo went to the movies and stood in line to get tickets. If Pete were to stand in the middle of the line, he would be between Dan and Leo; if Pete were to stand at the end of the line, then he would be next to Ilya. But Pete chose to stand in front of all his friends. Who is standing where, if we know that Leo is standing behind Dan?
Answers
Answer:
Pete -> Dan -> Ed -> Leo -> Ilya
Step-by-step explanation:
Quite tricky, but here it is.
If Pete stood in the middle, let's call it position 3.
He would be between Dan and Leo. Let's say Dan is at position 2, and Leo is at position 4. I got that from arithmetic, numbers before and after 3. In this scenario, we don't know we're both Ed and Ilya are.
Now, another says if Pete were to stand at the end, say position 5, he would be next to Ilya, say position 4. In this scenario, we don't know where Ed, Leo and Dan are, but we know for certainty they are ahead of Ilya since Ilya is 4th.
Last scenario, if Pete is standing in front of his friends, then who is where?
From the first scenario, we know that Dan is second, ahead of Leo.
From the second, we know that Ilya is just behind, so, Dan and Leo are ahead of him, yeah? That means we've established them in this order.
Dan -> Leo -> Ilya
And that leaves us with where Ed is.....
Going by the second scenario, we can adjudge that Ilya is the last person and thus, Ed is before him. If Pete stands in front with Dan at second, Leo at fourth and Ilya at fifth, that leaves us with the 3rd position for Ed.
So, we have
Pete -> Dan -> Ed -> Leo -> Ilya
For the following right triangle, find the side length x.
¿
Answers
Answer:
13Step-by-step explanation:
Pythagorean theorem
a²+b²=c²
so
5² + 12² = x²
25 + 144 = x²
169 = x²
x = √169
x = 13
Which function is shown in the graph below?
Answers
Answer:
y=log6x is your answer.
Step-by-step explanation:
I went and took the equation and put it into photo math and scrolled down to look at the graph till i found the matching one.
The minutes of daylight each day of the year in a certain northern town are approximately modeled by the function ()=−125−1732+1424 Where x represents the day of the year (January 1 is x=1) and()represents the minutes of sunlight.The vertex of this function means that on the longest day of the year —June 22nd (day 173)—this town saw _____minutes of sunlight.
Answers
Answer:
X is missing from the equation
Step-by-step explanation:
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
Answers
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
�
=
�
(
1
+
�
�
)
�
�
A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
�
12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
)
108
Divide by 11000
1.8181818
=
1.8181818=
(
1
+
�
12
)
108
(1+
12
r
)
108
(
1.8181818
)
1
/
108
=
(1.8181818)
1/108
=
[
(
1
+
�
12
)
108
]
1
/
108
[(1+
12
r
)
108
]
1/108
Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
+
�
12
1+
12
r
−
1
−1=
−
1
−1
Subtract 1
0.0055509
=
0.0055509=
�
12
12
r
12
(
0.0055509
)
=
12(0.0055509)=
(
�
12
)
12
(
12
r
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Multiply by 12
0.0666108
=
0.0666108=
�
r
6.66108
%
=
6.66108%=
�
r
Convert to percent (multiply by 100)
�
≈
r≈
6.66
%
6.66%
Round to the nearest hundredth of a percent
Amanda can jog 18 miles in 5 hours.
Answers
Answer:
the probelm does not make sense
Step-by-step explanation:
you can try dividing
Answer:
14.4 miles
Step-by-step explanation:
Amanda can jog 18 miles in 5 hours.
At the same rate how many miles can Amanda jog in 4 hours=??
solution:
Distance covered by Amanda in 5 hours = 18 miles
Distance covered in 1 hour = 18/5 miles
Distance covered in 1 hour is =3.6
Distance covered in 4 hours = 4*3.6=14.4
Hence Amanda can jog 14.4 miles in 4 hours
Leigh and Sara paid $1,178 last month to rent their apartment. Last month had 31 days. They divide to find out how much they paid per day. ?
Answers
Answer:
1,178 divided by 31 is equal to 38. $38 paid each day.
(Please give me branilest)
Find the surface area of the net below.
Answers
Answer:
472 in²
Step-by-step explanation:
This net is made up of 3 identical rectangles and 2 identical triangles.
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Rectangle
width = 8 inlength = 19 inTriangle
base = 8 inheight = 2 inSurface Area
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
Are the triangle similar
Answers
Answer:AAS
Step-by-step explanation:
solve it plssssssssssssss
Answers
Answer:
52
length = 12+2=14 feet
P = 2l+2w = (2 x 14) + (2 x 12) = 52
Step-by-step explanation:
Hope that helps! Have a wonderful day :)
In one week , Connor's family drank 2 5/8 cartons of regular milk and 2 7/8 cartons of soy milk . How much milk did they drink in all?
Answers
Add the quantities of regular milk and soy milk consumed;
\(\begin{gathered} \text{Total}=2\frac{5}{8}+2\frac{7}{8} \\ \text{Total}=\frac{21}{8}+\frac{23}{8} \\ \text{Total}=\frac{21+23}{8} \\ \text{Total}=\frac{44}{8} \\ \text{Total}=\frac{11}{2} \\ \text{Total}=5\frac{1}{2} \end{gathered}\)Therefore, they drank 5 1/2 cartons of milk altogether
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
Answers
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Answers
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
Need help with #6 please help
Answers
Answer:
20 m
Step-by-step explanation:
Leander planted 100 acres with soybeans and he plans to increase his field size by 3% each year. What will be the size of Leander's field after 5 years? Round to the nearest whole number.
Answers
We use the following exponential function, to model the problem:
\(S=100(1+0.03)^t,\)where t is the time in years.
Substituting t=5, we get:
\(S=100(1.03)^5.\)Computing the above operations, we get:
\(S\approx116.\)Answer: \(116\text{ acres.}\)Calculator Triangle ABC is similar totriangle DEF. The length of AC is 12 cm. The length of EF is 35 cm. The length of DF is 20 cm What is the length of BC ? Enter your answer in the box. cm
Answers
Answer:
BC = 21 cm
Step-by-step explanation:
In similar triangles the corresponding sides are in same proportion.
Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.
\(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)
\(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)
Can someone plz solve this
Answers
hi I need help with this problem. can anyone you tell me what 5+(-3)
Answers
Answer:
2 is the answer.
Step-by-step explanation:
Essentially, you are subtracting 3 from 5.
5 - 3 = 2 is the same as 5 + (-3) = 2
Im having trouble with this not sure if I did it right and the last one I don't know
Answers
For the shown figure:
The answer of 1):
The names of the shapes are correct
inside the parallelogram, we have: a square inside a rhombus and a square inside a rectangle
And we also have a trapezoid
The answer of 2:
The trapezoid inside the quadrilateral but outside the parallelogram because for the parallelogram every two opposite sides are parallel but the trapezoid not.
both of the parallegram and trapezoid are quadrilaterals
The answer of 3:
The opposite sides of the rhombus and the rectangle are parallel like the prallelgram
The answer of 4:
There is a square inside the rhombus because the diagonals of both of them are perpendicular
There is a square inside a rectangle because the adjacent sides are perpendicular and the opposite sides are parallel
The answer of 5:
the two observations are:
1) All the shapes are quadrilateral
2) The shapes that have every two opposite sides are parallel are inside the parallelogram.
Write an equation in standard form of the line that passes through (1, 3) and has a slope of –4.
Answers
Answer:
work is shown and pictured
In the following diagram,
What is the measure of
∠x
Answers
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
Answers
Answer:
(-4,6)
Step-by-step explanation:
Answer:
I can't help you
Step-by-step explanation:
but I recommend looking up videos to help you does not need to be the same problem but practice
Divide.
1.95 -0.5
please answer asap:(
Answers
Answer:
Step-by-step explanation:
3.9
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Evaluate the expression when x = 8 and y = 1.
x2y
Answers
Answer:
1/8
Step-by-step explanation:
I took the test this is it
Find the equation of the line that satisfies the conditions given in each of the following: 1. Through (3, 2) and (5, 7) 2. Through (-3, 4), m = 2 3. m = -3, b = 5 4. x-intercept = 3, y-intercept
Answers
The equation of each line that satisfies the given conditions are:
1. y - 2 = 5/2(x - 3)
2. y - 4 = m(x + 3)
3. y = -3x + 5
What is the Equation of a Line?If we know the slope (m) and the y-intercept (b) of a line, we can write the equation of the line as y = mx + b in slope-intercept form.If we know the point (a, b) and the slope (m) of the line, we can write the equation of the line in point-slope form as y - b = m(x - a).1. Given the points, (3, 2) and (5, 7), find the slope (m):
Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)
m = 5/2
Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):
y - 2 = 5/2(x - 3)
2. Given:
A point = (-3, 4)
Slope (m) = 2
Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):
y - 4 = m(x + 3) [equation of the line]
3. Given:
Slope (m) = -3
Y-intercept (b) = 5
Substitute m = -3 and b = 5 into the equation y = mx + b:
y = -3x + 5
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Solve the quadratic equation 8x2 + 6x = 5 using the quadratic formula.
Question 19 options:
A)
x = –5∕4, x = 1∕2
B)
x = –5∕4, x = –1∕2
C)
x = –1∕2, x = 5∕4
D)
x = 1∕2, x = 5∕4
Answers
Answer: A
Step-by-step explanation:
\(8x^2 +6x=5\\\\8x^2 +6x-5=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(8)(-5)}}{2(8)}\\\\x=\frac{-6 \pm 14}{16}\\\\x=-\frac{5}{4}, \frac{1}{2}\)
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided into two equal experimental groups—one receives type A and the other type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year’s end, the manager reviews the performances of salespeople in these groups and finds the following results:
Answers
In the book Business Research Methods, Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe ...
PLSSS HELP ME 14 POINTS
Answers
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
Vertically compressed by a factor of 9Shifted down by 2Read more about transformation at
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Can anyone help me I don’t know what to do
Answers
Answer:
y=8
Step-by-step explanation:
5=-3+y
move the term
-y= -3-5
then calculate the difference
-y= -8
then change the signs
y=8
Answer:
5=-3+y
5=y-3
+3 +3 (add 3 on both sides) *where 5 and -3 are located at*
8=y would be your answer
Step-by-step explanation:
i just explained lol