Answer:
(a) $479.50
Step-by-step explanation:
You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.
SplitApparently, the cost of the non-bedroom area is to be split evenly. That common area is ...
1225 ft² -(150 +130) ft² = 945 ft²
Then the proportion due from the occupant of the smaller bedroom is ...
(945/2 +130)/1225 = 241/490 ≈ 0.49184
RentThat fraction of the rent is ...
0.49184 · $975 = $479.54
The nearest answer choice is $479.50.
__
Additional comment
If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.
We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)
If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9
Answer:
f⁻¹(x)= 9x + 18
Step-by-step explanation:
1. Replace f(x) with x, and x with y: x=1/9y-2
2. Solve for y:
x=1/9y-2
9x=y-18
9x+18=y
3. Replace y in step 2 with f⁻¹(x)
Find the values of x and y.
x + 2 = 3y
A half circle is joined to an equilateral triangle with side lengths of 12 units.Select all the expressions that correctly calculate the perimeter of the shape.
The perimeter of the figure described in the question is 42.84cm
How to get the perimeter of the figure?The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.
So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.
The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:
C = 3.14*D
In this case, the circumference of half circle is:
C = 3.14*D/2
Replacing the value of the diameter:
C = 3.14*12cm/2 = 18.84cm
Adding the two sides of the triangle we get the perimeter.
P = 18.84cm + 2*12cm = 42.84cm
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-14x - 6 + 8 What is the answer???
Answer:
The answer is 2-14x or
-12x
The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.
The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000
The value of the car zero km is given by the expression x = 60000.
LET ME EXPLAIN SOMETHING:
An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.
LET'S GO TO THE SOLUTION:
Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:
When you leave the agency, your value decreases by 10%:
x·(100% - 10)% = 90% of x = 0.9xAfter a year, its value decreases by 5%:
0.9x·(100% - 5)% = 95% of 0.9x = 0.855x0.855x = 51300
x = 60000
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https://brainly.com/question/953809The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )
The coordinates of the points are given as follows:
Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).The coordinates of the fourth vertex are of:
(4,1).
What are the ordered pairs?The notation of an ordered pair is given as follows:
(x-coordinate,y-coordinate).
The x-coordinate is the horizontal movement, defined as follows:
Right: positive x-coordinate.Left: negative x-coordinate.The y-coordinate is the vertical movement, defined as follows:
Up: positive y-coordinate.Down: negative y-coordinate.The equivalent sides on a rectangle are congruent, hence the equivalent sides are:
TZ and PM.
Hence the missing coordinate M is:
1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.More can be learned about ordered pairs at brainly.com/question/1528681
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A line has a slope of 1 and passes through the point (-2, 8). What is its equation in slope-intercept form?
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y -8= 1 (x +2) \\\\\\ y-8=x+2\implies {\Large \begin{array}{llll} y=x+10 \end{array}}[/tex]
Answer: The answer is y=x+10
mean of 1/3 and - 2/5
Answer:
-1/30
Step-by-step explanation:
add the two numbers and divide by 2
solve for U
3u − –2 = 8
U=
Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her hours. What is the percent error of her estimate relative to the time it actually took?
The percent error of her estimate relative to the time it actually took is approximately 5.9%
What is the percent error?Estimated time to construct the shed = 18 hoursActual time taken to build the shed = 17 hoursError = Estimated time to construct the shed - Actual time taken to build the shed
= 18 hours - 17 hours
= 1 hour
Percent error = error / actual time × 100
= 1/17 × 100
= 0.058823529411764 × 100
= 5.882352941176470
Approximately,
5.9%
Consequently, the percent error of Keiko estimation and actual time is 5.9%
Complete question:
Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her 17 hours. What is the percent error of her estimate relative to the time it actually took?
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If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a
The given statement would be "false".
What is the quick ratio?A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.
As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.
Thus, the given statement would be "false".
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The question seems to be incomplete the correct question would be:
Find the statement true or false.
If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)
Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.
Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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If one of the factors from the product of 3 identical factors of a number is 4, what is that number?
Answer:
64
Step-by-step explanation:
Since one of the 3 identical factors is 4, then the number is 4×4×4, or 4³
Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19
a. y= (1/4)x - 7
b. y= (1/4)x + 9
c. y = 4x + 3
d. y = 4x + 7
Answer:
Step-by-step explanation:
You dont even need to look at the slope. For it to pass through (0,7) answer d with the +7 at the end is the only right answer
your welcome
D
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
From the solution to the given inequality, the correction representations are -6x + 15 < 10 - 5x and a number line from -3 to 7, with an open circle at 5 and an arrow pointing to the right.
Solving Linear InequalitiesFrom the question, we are to determine the correct representations of the given inequality
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representation, we will solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
Clear the parentheses by applying the distributive property
-6x + 15 < 10 - 5x
Add 6x to both sides
-6x + 6x + 15 < 10 - 5x + 6x
15 < 10 + x
Subtract 10 from both sides
15 - 10 < 10 - 10 + x
5 < x
Therefore,
x > 5
Hence, the correction representations are -6x + 15 < 10 - 5x and the number for x > 5
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HELP PLEASE this is urgent
Answer:
10.5 cm
Step-by-step explanation:
YZ corresponds to TU
YZ:TU = 9:3 = 3:1
XY corresponds to ST
ST = 3.5 cm
XY:ST = 3:1
XY/ST = 3/1
XY/3.5 cm = 3
XY = 10.5 cm
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
PLEASE HELP ME.!! I WILL GIVE BRAIN LIST
Which graph shows the image of ΔABC after a rotation about the origin?
Answer:
B
Step-by-step explanation:
A is a reflection across the y-axis.
B is the result of a rotation around the origin either by 90° counterclockwise, or by 270° clockwise.
C is a reflection across the x-axis.
D is a translation (shift) by -5 to the left.
Question 43 of 50
The graph of an exponential function that is increasing is ƒ(x) = (1/5)x.
False
True
Answer:
Option: A is the correct answer.
Step-by-step explanation:
Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.
Hence, the rate has to be less than 1.
So, option: B and D are ruled out as they represent a growth exponential function.
Also from the graph given in the question we could observe that when x=0 the value of y is:
y=4
So, the exponential function that is represented by the graph is:
Answer: true
Step-by-step explanation:
7x - 10y = 28
7x - 3y = 28
Answer:
(4, 0)
Step-by-step explanation:
7x - 10y = 28
7x - 3y = 28
------------------
(7x - 10y = 28) × -1
-7x + 10y = -28
--------------------------
-7x + 10y = -28
7x - 3y = 28
--------------------------
7y = 0
y = 0
7x - 10y = 28
7x - 10(0) = 28
7x = 28
÷7 ÷7
----------------
x = 4
(x, y)
(4, 0)
I hope this helps!
x-intercepts for 7x - 10y = 28:
(4,0)
y-intercepts:
(0, -14/5)
x-intercepts for 7x - 3y = 28:
(4, 0)
y-intercepts:
(0, -28/3)
Step-by-step explanation:I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
n Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat.
The percentage of time that Emerson actually hit the ball is given by the following option:
C. 68%.
How to calculate a percentage?A percentage is calculated applying proportions, as it is a fraction of the total amount, obtained as the division of the number of desired outcomes by the number of total outcomes and multiplied by 100%.
Hence the outcomes in this problem are given as follows:
Desired: outcomes that he did not struck out.Total: all the at bats.Then the number of desired outcomes is obtained as follows:
(90 - 30) + (120 - 40) + (140 - 42) = 238.
The number of total outcomes is obtained as follows:
90 + 120 + 140 = 350.
Then the percentage is given as follows:
P = 238/350 x 100% = 68%.
Meaning that the correct option is given by option C.
Missing InformationThe problem is:
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat. What percentage of times at bat did Emerson actually hit the ball? a. 39% b. 85% c. 68% d. 45%
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For the following write the converse , inverse, contrapositive and biconditional.
If the capital of Virginia is Richmond, then Halloween is in September.
Is the conditional true or false?
Is the converse true or false?
Is the bi-conditional true or false?
The converse of the conditional statement is “If Halloween is in September then the capital of Virginia is Richmond”.
The inverse of the conditional statement is “If Halloween is not in September then the capital of Virginia is Richmond”
The contrapositive of the conditional statement is “If the capital of Virginia is not Richmond, then Halloween is in not September”.
What is the conditional statement?The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).
The given conditional statement is "If the capital of Virginia is Richmond, then Halloween is in September"
The converse of the conditional statement is “If Halloween is in September then the capital of Virginia is Richmond”.
The inverse of the conditional statement is “If Halloween is not in September then the capital of Virginia is Richmond”
The contrapositive of the conditional statement is “If the capital of Virginia is not Richmond, then Halloween is in not September”.
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The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?
PLEASE HELP ASAP 20 POINTS
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 22.75°. What is the measure of ∠P?
22.75°
78.625°
134.5°
157.25°
Answer:
<P = 78.625°
Step-by-step explanation:
All of the angles in a triangle add up to 180.
<R + <Q + <P = 180
We can use x for <P and <Q, as they represent the same value because they are congruent.
<R + x + x = 180
Now, we want to substitute known values in and work backwards to find out what angle <P and <Q are.
2x + <R = 180
Put 22.75 in for <R.
2x + 22.75 = 180
Subtract on both sides.
2x = 157.25
Divide 2 on both sides to isolate x
x = 78.625
Since x represents <P and <Q, that means they are both 78.625 degrees each.
<P = 78.625
The school principal ordered 3,500 snack bars for the after-school program. There are 136 middle school students and 244 elementary school students in the after-school program. Each student in the program eats one snack bar each day. Which equation can be used to find the number of days, d, there will be enough snack bars for the students in the after-school program? *
Answer:
I think about 9 days
(I'm pretty sure, but don't get mad if it's wrong
31 MULTIPLE CHOICE which of the following is not possible geometry
Answer:
? where are the questions i will edit when answer arrive.
Step-by-step explanation:
NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 1
Answer:
1. Line, Point, Rotational
2. Line, Rotational
3. None
4. Rotational
Step-by-step explanation:
Definitions
A figure has line symmetry when a line can divide the figure into two mirror images.A figure has point symmetry when the figure appears unchanged if rotated 180° about the center point. (Point symmetry can also be described as rotational symmetry of 180°).A figure has rotational symmetry if the figure appears unchanged if rotated around the center of rotation by less than 360°. (If a figure has point symmetry, then it also has rotational symmetry by definition).Figure 1
[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has vertical and horizontal lines of symmetry.
As this figure has point symmetry, it also has rotational symmetry of 180°.
Figure 2
[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has a vertical line of symmetry.
This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.
This figure has rotational symmetry of 120°.
Figure 3
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf None[/tex]
It's difficult to tell as the provided picture of this figure is not flat, but it appears not to have any symmetry.
Figure 4
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]
[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]
This figure has no line symmetry.
This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.
This figure has rotational symmetry of 120°.
HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.
Answer:
no, it isn't symmetrical
Step-by-step explanation:
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