Total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
What is monthly payment?The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.
The rent of the apartment is $650 per month. The rent of the two months (first and last) is,
[tex]M=2\times650\\M=1300[/tex]
This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,
[tex]P=\dfrac{1300}{3}\\P=433.33[/tex]
They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. Therefore,
[tex]P=640-433P=206.67[/tex]
Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,
[tex]SD=206.67\times3\\SD=620.01[/tex]
Hence, total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
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The coordinates of a rectangle are (-11,20), (-11,3), (-1,20), (-1,-3). Find the perimeter and the area of the rectangle.
Answer:
The perimeter of the rectangle is 54, and the area is 170.
Step-by-step explanation:
First, we must plug the coordinates into a graph (attached below).
[tex]l=10\\w=17[/tex]
Now, we must solve for the perimeter.
[tex]P=2(l+w)\\P=2(10+17)\\P=2*27\\P=54[/tex]
Lastly, we must solve for the area.
[tex]A=wl\\A=(17)(10)\\A=17*10\\A=170[/tex]
You're welcome!
I need answers for those asap
Answer: x = -5 and y = -5
Step-by-step explanation:
They drew the linear graph for the simultaneous equations on the graph already
The answer the the equations is the intersection of the lines which is (-5,-5) or x = -5 and y = -5
Hello! can someone help with these questions? I provided photos of the triangles below.
1. Determine which sides correspond with each angle in triangle ABC below.
a. angle XYZ corresponds with side length ____
b. angle ZXY corresponds with side length ____
c. angle YZX corresponds with side length ___
2. Determine which angles correspond with each side in the triangle below.
__
a. side length KL corresponds with angle ___
__
b. side length LJ corresponds with angle ___
__
c. side length JK corresponds with angle ___
thanks for any help!
The sides that correspond to each angle in triangle ABC are:
Angle XYZ corresponds with side length YZAngle ZXY corresponds with side length XZAngle YZX corresponds with side length YXThe angles correspond with each side in the triangle are:
Side length KL corresponds with angle KSide length LJ corresponds with angle JSide length JK corresponds with angle LHow to determine the corresponding sides
The corresponding sides are segments located at the same relative position of an angle.
So, the corresponding sides of the angles are:
Side YZ & angle XYZ, Side XZ & angle ZXY, and Side YX and angle YZX
How to determine the corresponding anglesOn the other hand, the corresponding angles are segments located at the same relative position of the sides.
So, the corresponding angles of the sides are:
Side KL & angle K, Side LJ & angle J, and Side JK and angle L
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Which point is located at (2, -3)?
Point K because its x-coordinate is at 2 and its y-coordinate is at -3.
A) Point K
Answer:
Point K
Step-by-step explanation:
Remember, in a rectangular coordinate plane, every point is shown as (x, y)
x is moving left and right while y moves up and down. Looking at the point provided, (2, -3).
x = 2
A positive x value means the point will be shifted to the right, while the number 2 tells you to shift to the right 2 units.
y = -3
A negative y value means the point will be shifted down, while the number -3 tells you to shift down 3 units.
Now, looking at the graph, starting at (0, 0), move to the right 2 units and move down 3 units. The point resting at this point is Point K.
A store owner asks each person to write “Yes” or “No” on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 12 slips at random and looks at them.
These were the results:
yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes
a. Estimate the proportion of all shoppers who were happy with their experience that day.
Answer:
2/3
Step-by-step explanation:
Probability=number of favourable outcomes/number of possible outcomes
P(customers who were happy with their experience)= 8/12 = 2/3
two-third of total customers (12 people) were happy with their experiences.
show the linear graph obtained by joining the following points is a staright line. (6,-3),(6,1)and(6,6)
Points be
A(6,-3)B(6,1)C(6,6)Slope of AB:-
[tex]\\ \tt\hookrightarrow m=\dfrac{1+3}{6-6}=\dfrac{4}{0}=\infty[/tex]
Slope of BC
[tex]\\ \tt\hookrightarrow m=\dfrac{6-1}{0}=\infty[/tex]
As
Slope of AB=Slope of BCA,B,C are colinear.
Yesterday the temperature at noon was 28.8°F. By midnight, it had dropped by 30.9°F. What was the temperature at midnight?
Answer:
-2.1°F
Step-by-step explanation:
We will subtract 28.8°F from 30.9°F and then reverse our answer.
30.9°F - 28.8°F = 2.1°F
= -2.1°F.
Answer: -2.1°F
The correct answer is -2.1°F. You do this by simply subtracting 28.8 by 30.9. When doing this, you get -2.1. So the temperature at midnight was -2.1°F.
Step-by-step explanation:
Hope this helps =)
What is the solution to this inequality?
X-6<-4
Step-by-step explanation:
[tex]x - 6 < - 4[/tex]
[tex]x - 6 + 6 < - 4 + 6[/tex]
[tex]x < 2[/tex]
what is x
x/2 = (8 - 2x)/4
Answer:
x = 2
Step-by-step explanation:
x*(4) = (8-2x)*(2)
4x = -4x+16
+4x +4x
8x = 16
x = 2
Answer:
x = 2
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
The following rectangle has area 16.4icm² and length 8.207cm. Work out its width, xcm. Area = 16.41 cm x cm 8.207cm
help me with this math pls
Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x.
Answer:
2(−2x^28+3x^2−4)=0
Step-by-step explanation:
this is your answer factored. but i will you the real answer after you tell me all the other options
Answer:
Step-by-step explanation:
Solve for x. The problem is in the picture!
According to the diagram:-
Angle D = (6x+ 8)°Angle E = (5X+8)°Exterior angle C = 82° Answer:- Exterior angle property:-Exterior angle is equal to the sum of two opposite interior angle
ATQ :-[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]
The value of x from the figure is 6
Angles of a triangleThe sum of the interior angles of a triangle is equal to its exterior
Acording to the figure shown;
6x + 8 + 5x + 8 = 82
11x = 82 - 16
11x = 66
Divide both sides by 11
111x/11 = 66/11
x = 6
Hence the value of x from the figure is 6
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Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.
Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
What is the distance formula?Distance formula for calculating the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Let,
(-3, 4) = (x1, y1)
(2, -3) = (x2, y2)
Plug in the values
[tex]c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\[/tex]
c = 8.6 units.
Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
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17. Hayden earns $ 9.50 per as a lifeguard . He earns a bonus of $50.00 For taking a training
course. How many hours must he work to earn at least $300.00
Variable:
Inequality
Answer:
26.32
Step-by-step explanation:
50 + 9.5x = 300
9.5x = 250
x = 26.32
Have a good day!
HELP ILL GIVE YOU BRAINLIEST
Determine the absolute maximum value of the function f.
Answer: I think 7
Step-by-step explanation:
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog.
A long rectangle is the top section. 2 smaller rectangles are the bottom section.
The top section represents
.
The bottom section represents
.
The equation is
.
PLEASE HELP ME!!
A line has this equation: 5y+x=-40
Write an equation for the perpendicular line that passes through the point (1, 10)
Answer:
look it up go to demos
Step-by-step explanation:
What is n in n:44 = 7:11?
Answer:
n = 28
Step-by-step explanation:
hope this helps :)
[tex]\frac{n}{44} =\frac{7}{11} \\\\11n=308\\n=\frac{308}{11} \\n=28[/tex]
Find the volume of a sphere with a radius of x – 1.
will give u 20 points brainlist
Answer:
once a plats grew in 2 weeks he was 12 weeks old and he grew by 10 to 60 height lead and and he gained 140 to 155 fat
Step-by-step explanation:
Solve for xx. Round to the nearest tenth of a degree, if necessary.QRSx°2755Answer: x=x=
The measure of x is an illustration of the cosine trigonometry ratio
The measure of x to the nearest tenth of a degree is 58.7 degrees
How to calculate the measure of xThe measure of x is calculated using the following cosine ratio
[tex]\cos(x) = \frac{4.1}{7.9}[/tex]
Evaluate the quotient
[tex]\cos(x) = 0.5190[/tex]
Take the arccos of both sides of the equation
[tex]x = \cos^{-1}(0.5190)[/tex]
Evaluate the arccos(0.5190)
[tex]x = 58.73[/tex]
Approximate to the nearest tenth of a degree
[tex]x = 58.7[/tex]
Hence, the measure of x is 58.7 degrees
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hi pls help it’s pretty simple i think
Answer:
The radicals is the name of the sign we use in roots. The numerator is the power of the exponential, and the denominator is the power of the root.
So we take the radical:
√((-4)^2/7)
And move the denominator to the place where we list the root's power:
7√((-4)2)
Do note you can remove the outermost parentheses if you were to extent the radical's top line, something like so:
_____
7√(-4)2
[tex]the \: answwr \: is \: 1.48 \: or \\ 7 \sqrt{( - 4) {}^{2} } [/tex]
# be careful #
5x+3y=15
x+2y= -5 solve for x and y
Answer:
x=-3/5y+3
Step-by-step explanation:
Let's solve for x.
5x+3y=15
Step 1: Add -3y to both sides.
5x+3y+−3y=15+−3y
5x=−3y+15
Step 2: Divide both sides by 5.
5x/5 = -3y+15/5
Answer
x=-3/5y+3
The amount of region enclosed by a plane closed figure is calles
Answer:
The amount of region enclosed by a plane-closed figure is called its Area. Hence, correct answer is Area.
FROM
SURAJ SAINI
Need answer as soon as possible
Answer:
adding all like terms the answer will be:
[tex]\frac{3}{8} x + \frac{1}{2} y + \frac{3}{8}[/tex]
Step-by-step explanation:
Answer:
sec answer
[tex] \frac{3}{8} x + \frac{1}{2} y + \frac{3}{8} [/tex]
Solve each system of equations using the elimination method
4x-y=-2
2x+y=2
x = 0
y = 2
Step-by-step explanation:
4x - y = -2
2x + y = 2
-------------- add the equations
6x = 0
x = 0
substitute x in equation 1
0 - y = -2
y = 2
What is the answer of 5/8 + 2 1/8
Step-by-step explanation:
11/4 or 2¾
easy peasy....
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charged $3 per shirt, plus a $50 flat fee for shipping. If the school spends $113 total, how many T-shirts did they buy?
Answer:
21
Step-by-step explanation:
Let x = number of t-shirts
Let y = total cost
If the company charges $3 per shirt, plus a $50 flat fee for shipping:
⇒ y = 50 + 3x
If the school spends $113 total, subtitute y = 113 and solve for x:
⇒ 113 = 50 + 3x
⇒ 113 - 50 = 3x
⇒ 63 = 3x
⇒ x = 63 ÷ 3
⇒ x = 21
Therefore, the choir bought 21 t-shirts
Solution:
Note that:
Equation created: 50 + 3(Shirts) = $113Solve the equation to find out how many shirts did the school choir bought.
=> 50 + 3x = $113=> 3x = 113 - 50=> 3x = 63=> x = 21The school choir bought 21 shirts.
4+5(p-1) how to expand brackets and then simplify
Step-by-step explanation:
these are multiplications.
you could also write
4 + 5×(p - 1)
now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.
if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.
so,
4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1
remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).