Answer:
67.5=discount
382.5= Sale Price
Total=409.27
Step-by-step explanation:
450/100=4.5
4.5*15=67.5
67.5=discount
450-67.5
382.5= Sale Price
382.5(1.07)
Total=409.275
Determine whether the function f(x) = -920 + 6 + 2 is even, odd or neither.
Answer:
Even
Step-by-step explanation:
The answer is -912 which is even because it ends with a 2.
I hope this helps. Your Welcome:)
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<
Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
What is the difference between 3 more than 1/3 and 3
Answer:
Step-by-step explanation:
3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3
PLEASE HELP ALGEBRA 2
Question is on the photo below
Answer:
The value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
Given
f(x) = 3x² + x - 3
g(x) = x² - 5x + 1
To determine
f(x) - g(x)
Using the formula
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4
Therefore, the value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Select the correct answer. Which graph represents this inequality? 3x+y<1
Answer:
the answer is c the one above d
Step-by-step explanation:
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)
1.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class
Answer:
They are both the same
Step-by-step explanation:
(ratio of brown eyes to blue eyes)
Ms. Abbott's class- 18:12
Ms. Downey's class- 15:10
if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.
Pls anaerw this fast
Answer:
what do you need help with
2 cents using dollar symbols
answer:
$0.02
-- let me know if you have any questions regarding this.
Rounded to the nearest tenth of a cubic foot, what is
the volume of the robot's body?
You are taking a vocational course in night school. The
group you belong to is building a robot made of tin.
Your task is to build the cylindrical body of the robot.
The cylindrical body must have a height of 2 feet and a
radius equal to 1 of the body's height.
00.4
1.6
O 3.1
6.3
9.9
Answer:
the answer is 3.1
Step-by-step explanation:
Write an equation of the line with a slope of —3 and y-intercept of 0.
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
Learn more about Law of Cosines here :
https://brainly.com/question/17289163
#SPJ2
Without a calculator, solve 2 1/3 + 6 3/5 = ?
(answer in fraction form)
Answer:8 14/15
Step-by-step explanation:
(2+6)+(1/3+3/5)
8+ (1/3+3/5) Find the common denominator
8+(5/15+9/15)
8 14/15
Clarissa is saving for a coat that costs $55.99. She earns $22.75 babysitting and $10.50 dog walking. How much more money does Clarissa need?
please tell me the answer
[ ]
Answer:
22.74 i think
Step-by-step explanation: Add 22.75 to 10.50 then subtract that number to 55.99
Answer:
22.74
Step-by-step explanation:
is y=4x+2 proportional?
Answer: yes
Step-by-step explanation:
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
determine the value of x
Answer:
21
Step-by-step explanation:
Subtract 6q from 10z
Answer:
10z-6q..............
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
Kendyl started reading a new book over the weekend. She was able to read 8 pages in the 20 minutes before dinner.at this rate how long will it take for her to read the entire book if it has 300 pages?
Answer:
750 minutes
Step-by-step explanation:
8 pages in 20 minutes
300 / 8 = 37.5
37.5 * 20 = 750
15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the
birdhouse and the pole?
.a. 12
c. 18.75
b. 15
d. 13.25
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet
The birdhouse and the pole are 18.75 ft tall.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.
Assume that for the birdhouse and the pole are [x] ft tall.
Now, for a 4 feet tall person, the shadow is 5 feet long.
Then, for one feet long person, the shadow would be (5/4) feet long.
Then, for 15 feet long -
x/15 = 5/4
x = (15 x 5)/4
x = 75/4
x = 18.75 feet tall
Therefore, the birdhouse and the pole are 18.75 ft tall.
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/9144182
#SPJ2
What decimal represents 1/4
PLZ HELP ME I REALLY NEED IT?!?
Answer:
he bought 17 book.