Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bill. Next, she spent one-half of what was left on her phone bill. After spending $56.00 on gas for her car, Marlina had $102.00 left. How much did Marlin spend on rent?
Answers
Answer:
Marlina spent $654 on rent.
Step-by-step explanation:
Let the amount of money Marlina's received for her salary be x.
We know that she spent one-half of her salary on rent and then $338 on her electric and water bill. Therefore, the amount of money she has left can be so far can be represented by:
\(\displaystyle x-\frac{1}{2}x-338\)
Next, she spent one-half of what was left on her phone bill. So, we can subtract one-half of the above expression to what we have so far.
\(\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)\)
Finally, she spent $56 for gas. Thus, we will subtract 56:
\(\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56\)
And we know that after all of the expenses, she will have $102 left. Therefore:
\(\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56=102\)
We want to know how much Marlina spent on rent. So, we can find her salary, since we know the rent is one-half of the salary. To find the salary, we will solve for x.
Distribute:
\(\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102\)
Rearrange:
\(\displaystyle \left(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x\right)+(-338+169-56)=102\)
Combine like terms:
\(\displaystyle \frac{1}{4}x-225=102\)
Add 225 to both sides:
\(\displaystyle \frac{1}{4}x=327\)
Multiply both sides by 4:
\(x=\$ 1308\)
Therefore, Marlina received a total of $1308 for her salary.
We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:
\(\displaystyle r=\frac{1}{2}(1308)=\$ 654\)
Marlina spent a total of $654 on rent.
9514 1404 393
Answer:
$654
Step-by-step explanation:
Let r represent the amount of Marlina's rent. Since that is half her salary, the amount remaining after paying rent is also equal to r. The disposition of that remaining amount is ...
$338 on electric and water (E&W)
(1/2)(r -338) on phone . . . this is half of what is left after paying E&W
$56 on gas
$102 unaccounted
__
The total of these amounts is equal to r, so we have ...
r = 338 + 1/2(r -338) +56 +102
1/2r = 338 -169 +56 +102 = 327 . . . . . eliminate parentheses, subtract 1/2r
r = 2(327) = 654 . . . . . multiply by 2 to get r by itself
Marlina spends $654 on rent.
Related Questions
does anyone have the keys for edmentum guided notes!!! please help
Answers
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
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Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
Answers
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is:
Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answers
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answers
Answer:
d. -4
Step-by-step explanation:
4p – 12 = 8 + 4p + 5p4p – 12 = 8 + 9p4p – 9p = 8 + 12– 5p = 20p = 20 ÷ (– 5)p = – 4What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answer:-Option d. -4
Explanation:-=> 4p – 12 = 8 + 4p + 5p
=> 4p - 4p - 5p = 8 + 12
=> -5p = 20
=> p = 20/(-5)
=> p = -4
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answers
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Flight times An airline flies the same route at the
same time each day. The flight time varies according
to a Normal distribution with unknown mean and
standard deviation. On 15% of days, the flight takes
more than an hour. On 3% of days, the flight lasts
75 minutes or more. Use this information to deter-
mine the mean and standard deviation of the flight
time distribution.
Answers
Answer:
Mean = 41.588
Standard Deviation = 17.765
Step-by-step explanation:
60 - N/D = 1.03643
75 - M/D
75 - (60 - 1.03643D)/D = 1.88079
15 + 1.03643D = 1.88079D
15 = 0.84436D
17.765 = D
D = 17.765
-----------------------------------
60 - M = 1.03643D
60 - 1.03643D = M
M = 60 - 1.03643(17.765)
M = 41.588
A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal
Answers
394 subscribers are represented in the venn diagram.
What is venn diagram?Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.
Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.
according to the venn diagram
196+41+21+52+84 = 394
There are 394 subscribers
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Find the area of the figure
Answers
Answer:
186.66
Step-by-step explanation:
Find the perimeter of the following shape:
Answers
But if it's for the area then its supposed to be A=hb/2 which is height times base divided by 2. For the area I did the math which is in the image
HELP!?? Please hurry due today!!!!
Answers
Answer:
348m^2
Step-by-step explanation:
Part B: In complete sentences, explain how a circle can be used to find the circumcenter of the triangle graphed below.
Part C: Use a circle to locate the circumcenter of the triangle. Provide the location of the circumcenter.
Answers
Answer:
Step-by-step explanation:
Part B:
The center of the circumscribed circle around a triangle is equidistant from vertices of that triangle. To find the circumcenter need to draw at least two perpendicular bisectors to the sides of the given triangle. Point of intersect of them is center of the circumscribed circle.
Part C:
Coordinates of the midpoint of line BC ( y = - 1 ) are
( \(\frac{-6+2}{2}\) , \(\frac{-1-1}{2}\) ) = ( - 2 , - 1 ) and the equation of the line ⊥ to BC is x = - 2
Because BC is ║ to x-axis and m∠A is 90° , the center of the circle is midpoint of BC and r = \(\frac{BC}{2}\) = 4
(-2+8i)(3-10i)
Step by Step
Answers
-2 x 3 - 2 x (-10i) +8i x 3- 8i x 10i
-6+20i+24i - 80i ^2
-6+20i+24i - 80 x (-1)
-6+20i+24i + 80
Answer: 74+44i
Five children have to form a queue. In how many different ways can they be arranged?
A. 120
B. 100
C. 60
D. 80
Answers
Answer:
120 different ways
The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.
Find the volume of the cone. Use 3.14 for π. Remember that there is a formula for calculating the volume of a cone.
Answers
The volume of the cone is 314cm³
What is volume of a cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.
The volume of the cone is 1/3πr²h
h²= 13²-5²
h = √169 - 25
h = √144
h = 12 cm
V = 1/3πr²h
V = 1/3 ×3.14 × 5² × 12
V = 942/3
V = 314 cm³
therefore the volume of the cone is 314cm³
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James and Alex recorded the hours they worked and the amount of money they earned in the tables below. Which statement is true?
Group of answer choices
No answer text provided.
James earned $13 per hour, and Alex earned $12 per hour.
They both earned the same amount of money per hour.
James earned $12 per hour, and Alex earned $13 per hour.
Answers
James earned a $13 per hour rate and Alex earned a $12 per hour rate thus option (A) is correct.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change concerning time.
For example the speed 3meter/second.
As per the given number of hours and money earned table.
For James,
Rate of change or earned per hour = 26/2 = $13
For Alex,
Rate of change or earned per hour = 36/3 = $12
Hence "James earned a $13 per hour rate and Alex earned a $12 per hour rate".
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Name a pair of adjacent angles.
Answers
Answer:
Angle ACB And Angle ECD
Step-by-step explanation:
if a person bikes 3 miles at 12 miles per hour, how long does it take them to reach the end? Answer in minutes
Answers
Answer
I think it is 144 minutes but I'm not sure. Never mind it is correct because I checked my answer.
Answer:
15 minutes
Step-by-step explanation:
3 miles/12 miles per hour = 0.25
0.25 * 1hr = 15 minutes
WILL MARK BRAINLIEST. NEED HELP ASAP!
Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is sighted from B. if the bearing of the boat from B is N 61 degrees E, how far from B is the boat?
The boat is either ___ miles or ___ miles from lighthouse B, to the nearest tenth of a mile.
Answers
9.986 miles.
When to use miles in distance?A mile is a unit of length or distance measurement that is equal to 5,280 feet.
Given:
location of light house B from A = 10 miles west
distance of the boat from A = 5 miles
bearing of the boat from A = NE65
Now,
sinB = bsinA/a
=10 sin29/5
= 10*0.484/5
= 0.9696
B = 75.836166
Now,
\(\theta\\\) = 180 - 29 - 75.836166
= 75.16
Thus,
a/sinA = c/sinC
c = asinC/sinA
= 5* sin 75.16°/sin 29°
= 5* (0.9666)/0.484
= 4.833/0.484
= 9.986 miles
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compare compare post to be below having to do with Ben's
Answers
Given the voting system {17:14, 5, 2}
The coalitions, their weight, critical player and if they win or loose will be presented below
From the table above, the only coalition cases we have win are {14+5} and {14+5+2}, Player with weight 14 is critical two times, while playerwith weights 5 is critical twice and player with weight 2 is never critical, thus the following extraction can be made
\(\begin{gathered} T\Rightarrow\text{The total number of times players are critical = }4 \\ B_{14}\Rightarrow\text{ the number times player 14 is critical= 2} \\ B_5\Rightarrow\text{ the number times player 5 is critical= }2 \\ B_2\Rightarrow\text{the number times player 2 is critical= }0 \end{gathered}\)Given the formula for the Banzhaf power index for a player to be;
\(P_i=\frac{Bi}{T},\Rightarrow\begin{cases}P_i\Rightarrow\text{ player index} \\ B_i\Rightarrow\text{ the number times player is critical} \\ T\Rightarrow\text{ the total number times players are is critical}\end{cases}\)Thus to calculate the Banzhaf for each player we have
\(\begin{gathered} P_{14}=\beta_1=\frac{B_{14}}{T}=\frac{2}{4}=\frac{1}{2} \\ P_5=\beta_2=\frac{B_5}{T}=\frac{2}{4}=\frac{1}{2} \\ P_2=\beta_3=\frac{B_2}{T}=\frac{0}{4}=0 \end{gathered}\)Hence, the Banzhaf power distributions are
\(\beta_1=\frac{1}{2},\beta_2=\frac{1}{2},\beta_3=0\)b) Given the voting system {19: 16, 9, 1}
The winning coalitions and their respective critical players is given below
\(\begin{gathered} \mleft\lbrace16,9\mright\rbrace\Rightarrow critical\text{ player (16,9)} \\ \mleft\lbrace16,9,1\mright\rbrace\Rightarrow\text{ critical players (16,9)} \end{gathered}\)From the table above, the only coalition cases we have win are {16,9} and {16,9,1}, Player with weight 16 is critical two times, while playerwith weights 9 is critical twice and player with weight 1 is never critical, thus the following extraction can be made
\(\begin{gathered} T=2+2+0=4 \\ B_{16}=2 \\ B_9=2 \\ B_1=0 \end{gathered}\)The Banzhaf distribution fo the voting sysytem is
\(\begin{gathered} \beta_1=\frac{B_{16}}{T}=\frac{2}{4}=\frac{1}{2} \\ \beta_2=\frac{B_9}{T}=\frac{2}{4}=\frac{1}{2} \\ \beta_3=\frac{B_1}{T}=\frac{0}{4}=0 \end{gathered}\)Hence, the Banzhaf distribution power is
\(\beta_1=\frac{1}{2},\beta_2=\frac{1}{2},\beta_3=0\)Conclusion, the Banzhaf power distributions are the same in both (a) and (b),
Option D is right answer
The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
6 ounces
12 ounces
18 ounces
27 ounces
Answers
The correct Option is C. Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
From the pie chart, we can infer that the percentage of romaine lettuce in the salad mix is 27%.
We can find the number of ounces of romaine lettuce in a 64-ounce container of salad mix by multiplying 64 by 27/100.
This is because we want to find what fraction of the whole salad mix is romaine lettuce, and then multiply it by the total number of ounces in the container.
Using proportions, we can find that:Let x be the number of ounces of romaine lettuce in a 64-ounce container of salad mix.
27/100 = x/64
Solving for x, we get:x = (27/100) * 64 = 18.28
Therefore, there are about 18.28 ounces of romaine lettuce in a 64-ounce container of salad mix.
However, since we are asked to give an approximate answer, we can round this to the nearest whole number, which is 18.
So, Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
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This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answers
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
John gave 23/25 of an orange to his best friend. What
percentage of the orange did John give to his friend?
%
Answers
Answer:
80%
Step-by-step explanation:
First, look at the denominator.
in the fraction 23/25, the denominator is 25. A denominator is the number on the bottom of the fraction. 25 can easily be multiplied by 4 to get to 100, which will allow for an easy way to find the percentage.
Since we already know that 25 x 4 = 100, now we must do the same thing for the numerator, or the number on the top of the fraction.
23 x 4 = 92
Now we know that 23/25 = 92/100
therefore the answer is 92%
John gave 92% of his orange to his friend
What is 7/10,7/12,3/8 in order from least to greatest
Answers
Answer:
3/8, 7/12, 7/10
Step-by-step explanation:
3/8 = .375
7/10=.70
7/12=.583
Answer:
3/8 7/12 and 7/10
Step-by-step explanation:
i looked it up
Without multiplying tell which is greater 4/5x45 or 2/3x45
Answers
Answer:
2/3 x 45 < 4/5 x 45
Step-by-step explanation:
Rearrange from smallest to largest:
2/3 x 45 < 4/5 x 45
I hope this helps!
Solve for t:
t + 1 = 24
A. t = 23
B. t = 25
C. t = 31
D. t = 20
Answers
Answer:
t = 25
Step-by-step explanation:
T is 25 because you take 1 away from the t+1 side and add the 1 to the 24 side.
Please look at the graphs in the photo. Thank you!
Answers
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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What is the area of the kite?
Answers
Answer:
Step-by-step explanation:
area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²
What is the reference angle for the angle with the measure 2x/3
Answers
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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How many pounds of candy that sells for $0.85 per Ib must be mixed with candy that sells for $1.22 per lb to obtain 9 lb of a mixture that should sell for $0.92 per lb? 50.85-per-lb candy: 73 lb (Type an integer or decimal rounded to two decimal places as needed.) $1.22-per-b candy
Answers
This system gives two equations
\(\frac{0.85x+1.22y}{9}=0.92\)\(x+y=9\)where x is the number pounds of $0.85/lb candy and y is the number of pounds of $1.22/lb candy.
The solution to the system is
\(x=7.297\)\(y=1.70\)Hence, 7.297 lb of $0.85 candy is required in order that if we mix them with 1.70 lb of $1.22 candy, we will get a 9 lb solution of 0.92 /lb candy.
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answers
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62