Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
The selling price of an item is Rs 194. If the loss is 3 %, find the cost price
Answer:
188.88
Step-by-step explanation:
What is the result when you change the line y = 6/5 x + 2 to
Ax + By + C = 0 form?
Answer:
14x+7y=-214x+7y=−2
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.
What is the percent of change in the cost of a hot dog? il mark you brainly
Answer:
devide them by each other and then when it is deamal form put it in %
:)
Step-by-step explanation:
Brainliest plz
Answer:
Cost of the Pizza is 20%
Cost of the Cheeseburger is 30%
Cost of the Fries is 125%
Step-by-step explanation:
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
19 - 4x + 15x.
Please Help And Explain How To Do This.
Answer:
Step-by-step explanation:
19-4x+15x combine like terms
19+11x
can someone graph y=x+4 i hate khan academy
Answer:
I hope this is good enough:
Step-by-step explanation:
I dis graph it just use demo's graphing system.
√-125 Help what is the equal to
Answer:
Evaluation: √2
Simplified: |-2|+2
Hope this helps!
Answer:
11.18033989
Step-by-step explanation:
4b
6c for b = (-3) and c = 5
Answer:
Today: Friday, 06 November 2020
Hour: 10.15 WIB (Indonesia)
_______________________________
so,
6c = 6 × 5 = 30
4b = 4 × (-3) = -12
Example:
4b - 6c
= 4(-3) - 6(5)
= -12 - 30
= - 42
4b + 6c
= 4(-3) + 6(5)
= -12 + 30
= 18
PLEASEEEEEEEER HELP ME!!
The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle
Answer:
L=8, W=4
Step-by-step explanation:
2L+2W=p
2(4)+2(8)=p
8+16=24
Answer:
length = 8 in.; width = 4 in
Step-by-step explanation:
True or False. When adding a positive and negative integer, the sum maybe a positive Integer.
Answer:
True
Step-by-step explanation:
If the positive integer is greater than the negative integer, the sum will be positive.
Answer:
True
Step-by-step explanation:
Eg: 9+ -5=
Since 9 is the greater number, the answer shall take that value.
So, The main point is that when adding a positive to a negative, you can get a positive integer!
I hope this helps you!! :)
Need help with this question, Its geometry
Answer:
B. FE=40
Step-by-step explanation:
A. correct because FE = 58 6(8)+10=58
C. correct because 6(8)+10=40
D. correct because DF= 40 8(8)-24=40
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
What is 78/100 in standard form
Answer:
0.78 x 10^ 0
Step-by-step explanation:
Find the area of the given triangle. 16 5. 20
Answer: 160 m^2.
Step-by-step explanation:
In order to find a constant rate of change, the function must be linear.
True or False?
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
Midpoint (24,-20), endpoint (16,-17)
Answer:
Endpoint = (32,-23)
Step-by-step explanation:
end point = (16,-17)
midpoint = 24,-20)
other point = (x,y)
(x + 16)/2 = 24
x + 16 = 24 * 2
x + 16 = 48
x + 16-16 = 48-16
x = 32
======================
(y - 17/2 = - 20
y - 17 = - 20 * 2
y - 17 = - 40
y - 17+17 = - 40 + 17
y = - 23
5 (2k - 8 ) - 15 = -25
how do I solve this?
Answer:
3=k
5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=kILL MARK U BRAINLIEST IF U EXPLAIN!!
Answer:
93
Step-by-step explanation:
the total of all those are 150 so if you multiply it by three you get 450
so multiply pizza by three too
to get 93
Answer:
93 students
Step-by-step explanation:
You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.
Therefore, 93 students would say pizza is there favorite food.
Hope this helps :)
Here please do this. 25 pts
Answer:
the correct answer is A
A taxi charges a flat fee of $2 and $0.75 per mile.
Angela can spend no more
than $20. How many miles
can she travel in the taxi?
Answer:
She can travel 7 miles in the taxi.
Step-by-step explanation:
2.75×7=19.25
Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
The two functions have the same discriminant b² - 4a = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.
Now, From the graph the discriminant and properties here,
D = 0 as the vertex of the parabola intersect only at one point.
b² - 4ac = 0.
The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).
So, they have the same discriminant.
learn more about quadratic equations here :
https://brainly.com/question/30098550
#SPJ2
Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?