Answer:
n = 5
Step-by-step explanation:
- Move all terms not containing n to the right side of the equation.
7n = 31 + 4
7n = 35
- Divide each term by 7 and simplify.
n = 5
i hope this helps :)
Maria and Don had $20,800 in medical expenses. Their family medical insurance covered 60% of these expenses. The IRS allows medical and dental expense deductions for the amount that exceeds 10% of a taxpayer's adjusted gross income. If their adjusted gross income is $101,598, how much can they claim as a medical deduction? Fill in the blank 1 Next
Maria and Don has claimed $1839.8 as a medical deduction.
Calculate medical expenses after removing medical insurance expense, that is
20,800 - 60% of 20,800
= 12480
Now, 20,800-12480
=$8,320
Now calculate 10% of gross income
10% of 101,598
= 10/100 × 101,598
= 0.1 × 101,598
= $10,159.8
Now medical deduction = 10% of income - Medical expenses
= 10,159.8-8,320
= $1839.8
Therefore, the medical deduction is $1839.8.
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Is 4 a solution of 7 < 5x – 16
Answer:
no
Step-by-step explanation:
7 < 5*4 - 16
7 < 20-16
7 <4
Answer:
[tex] x > \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]
[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]
PLEASE PLEASE HELP ME ASAP
Answer: DC=30.5
Step-by-step explanation:
Use trigonometry to solve this question
sin=O/Hcos=A/Htan=O/A----------------------------------------------------------
First Step: find BD
- AB relative to 54° is [hypotenues]
- BD relative to 54° is [opposite]
- Therefore, we need to use O/H, which is Sin
- sin(54°)=O/20=20·sin(54°)=16.2
Second Step: Find DC
- DC relative to 28° is [adjacent]
- BD relative to 28° is [opposite]
- Therefore, we need to use O/A, which is tan
- tan(28°)=16.2/A=16.2/tan(28°)=30.5
Hope this helps!! :)
Please let me know if you have any questions
A model car travels around a circular track with radius 5 feet. Let Z denote the distance between the model car and a fixed point that is 20 feet to the left of the center of the circular track. The diagram above indicates the fixed point at the origin, the center of the circular track at the point (20,0), and the position of the car at the point (x,y). Z is the length of the line segment from the origin to the point (x,y). If x and y are functions of time t, in seconds, what is the rate of change of Z when x=23, y=4, and dxdt=2 ?
Answer:
[tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,[tex]\frac{dx}{dt}[/tex] , and [tex]\frac{dy}{dt}[/tex] gives [tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] ,
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
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18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?
Answer:
1 rice cake has 23.761 calories
Step-by-step explanation:
18 rice cakes weigh a total of 130 g.
There are 329 calories in 100 g of rice cakes.
Step 1
We calculate the number of calories is 18 rice cakes
18 rice cakes = 130g
Hence,
100g = 329 calories
130g = x
Cross Multiply
100g × x = 130g × 329 calories
x = 130g × 329 calories/100g
x = 427.7 calories
Therefore, 18 rice cakes had 427.7 calories
Step 2
How many calories are there in one rice cake?
18 rice cakes = 427.7 calories
1 rice cake = x
Cross Multiply
18 × x = 1 × 427.7
x = 427.7/18
x = 23.761111111 calories
Approximately = 23.761 calories
Therefore, 1 rice cake has 23.761 calories
The graphs below have the same shape. What is the equation of the blue
graph?
RX) = x
g(x) = ?
9(x) =
Answer:
A
Step-by-step explanation:
it is A
The function of g(x) is g(x)=(x+2)². Therefore, option B is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given function is f(x)=x².
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
From the graph, we can see vertex of f(x) is (0, 0) and vertex of g(x) is (2, 0).
The graph of g(x) is shifted 2 units to right.
Thus, g(x)=(x+2)²
Therefore, option B is the correct answer.
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Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10
feet.
Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular
wall?

Answer:
[tex]W \le 6[/tex]
Step-by-step explanation:
Given
[tex]Area = 60ft^2\ (max)[/tex]
[tex]Length = 10ft[/tex]
Required
Represent the width as an inequality
First, we represent the area as an inequality.
[tex]Area = 60ft^2\ (max)[/tex]
max as used above means less than or equal to.
So, we have:
[tex]Area \le 60[/tex]
The area of a rectangle is:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W \le 60[/tex]
Substitute 10 for L
[tex]10 * W \le 60[/tex]
Divide both sides by 10
[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]
[tex]W \le \frac{60}{10}[/tex]
[tex]W \le 6[/tex]
Problem 1
Twenty pounds of strawberries are being shared equally by a group of friends. The equation 20÷5=4 represents the division of strawberries.
a. If the 5 represents the number of people, what does the 4 represent?
:
Answer:
it represents how many each person gets
Answer:
Hello im pretty sure that the represents the friend prove me if im wrong
Step-by-step explanation:
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
Find an equation for the nth term of the arithmetic sequence.
-20, -16, -12, -8, ...
Answer:
-4
Step-by-step explanation:
that is the nth termmmmm
How does collecting like terms in an expression differ from collecting like terms in
an equation/inequality? Explain.
Answer:
I think its different from each other because maybe combining like terms in a inequality your trying to compare them? Or maybe they're just advanced. Can someone give me an example of an inequality please so I can try finding out the difference?
?
Expand & simplify
(x + 3)(x – 8)
What is the sine of angle C?
Answer:
4/5 or 53°
Step-by-step explanation:
soh
cah
toa
you want soh
sine=opposite/hyp
therefore sine of C is 4/5
to find the degrees you have to something a lil different.
sin^-1 (theta)= 4/5
sin^-1(4/5)=theta
53°=theta
Please help it's due today. Also please don't answer if you don't know.
Answer:
the second answer
Step-by-step explanation:
hope u do well :)))))))))))))
Answer:
[tex]\frac{3a^4b}{7}[/tex]
Step-by-step explanation:
thats the simplified version
What is the solution to 0.5x - 2 < 5.5?
Which of the following products is negative? 4 A -31-7) B-3.7567 4 © 6.5. 4.25 D -5.5(-0.25)
Answer:
the answer is D and just keep practicing
Find the equation of a line traveling through the points (-6, -5) and (12, 7).
Helpp pls due soon
Helppp! 20 points!
Find m
m
Answer:
M∠ABC=58°
Step-by-step explanation:
The sum of Angle ∠ABD and Angle ∠DBC
37°+21°=58°
10
36
X=
Find the value of x. Round answers to the nearest tenth
PLEASE HELP ITS URGENT!
Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD. Show your work.
Answer:
Thats the answer from american school
Step-by-step explanation:
The value of the common length BD would be 8 units aprroximately.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given information;
1. Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD.
So, We know that
Sin A = BD / AB
Sin A = BD / c
c Sin A = BD
Substitute;
(10) Sin (53.13) = BD
BD = 10 ( 0.79)
BD = 7.99
Therefore, the value of the common length BD would be 8 units aprroximately.
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Estimate sun and round to the nearest hundred 534+271
Answer:
805.00
Step-by-step explanation:
The answer is 805.00 for sure
Answer:
800
Step-by-step explanation:
534 + 271 = 805
805 rounded to the nearest hundred is 800. Remember that when numbers between 750 and 849 are rounded to the nearest hundred it is always 800.
select all equations where b=11 is a soultion
Answer:
so where is the equations
Hola me podrían ayudar por favor Convertir las fracciones a números decimales y colocar los decimales en la recta numérica: a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 h. -7/4
Answer:
a. 2/3 = 0.67
b. 8/5 = 1.6
c. -5/2 = -2.5
d. 7/4 = 1.75
e. 9/2 = 4.5
f. -11/3 = -3.67
g. 13/5 = 2.6
h. -7/4 = -1.75
Step-by-step explanation:
Convirtiendo las fracciones dadas a decimales, tenemos:
a. 2/3 = 0.67
b. 8/5 = 1.6
c. -5/2 = -2.5
d. 7/4 = 1.75
e. 9/2 = 4.5
f. -11/3 = -3.67
g. 13/5 = 2.6
h. -7/4 = -1.75
please help me asap!!!!!!
Answer:
z-12
Step-by-step explanation:
you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12
Need help on this.. First one to answer it correctly gets a BRANLIST
Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?
Answer:
Step-by-step explanation:
1.0825×(34.99+3) = $41.124175, and the government always rounds up.
$41.13
The polynomials (3y^2+4) cm, (2y^2-5x) cm, and (6x+2) cm represents the three sides of a triangle. What is the perimeter of the triangle?
Answer:
[tex]5y^2 +6 + x\ cm[/tex]
Step-by-step explanation:
The computation of the perimeter of the triangle is shown below:
As we know that
The Perimeter of the triangle is
= one side + second side + third side
[tex]= 3y^2 + 4 + 2y^2 - 5x + 6x + 2\\\\= 5y^2 +6 + x\ cm[/tex]
Hence, the same is relevant
Bella is x years old. Jake is 9 years older than Bella. Five times Jake’s age is equal to 300. (a) Write an equation that could be used to solve for Bella’s age, x. (b) How old is Bella? Show your work. (c) How old is Jake? Show your work. Answer: (pls and thanks)
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
Answer:
3mph
Step-by-step explanation:
his speed per hour will be 3 miles per hour