Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154
Factorise it
(x + 2y)² – (x – 2y)²
[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
Can I get the answers for all the questions and if you can explain how you got it that would help PLSSSSS!!!!
A small boat leaves a port town and travels due north for 7.4 miles and then turns due east for 3.6 miles
and stops. If the boat's captain then turns back to town. a) how far does the boat travel and b) along
what bearing would the boat have to travel from its stopped position?
11 miles far does the boat travel
Step-by-step explanation:
hope it helps
The total distance travelled will be 22 miles and the bearing will be 60.89° .
It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.
We have to find out the total distance travelled and bearing from stopped position.
What are bearings ?
A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.
As per the question ;
Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.
So ;
a)
Total distance travelled from port town to destination is ;
= 7.4 miles + 3.6 miles
= 11 miles
And
If boat's captain turns back to town , then total distance will be ;
= 11 + 11
= 22 miles
b)
We know that ;
cos θ = B/H
The bearing would be ;
cos θ = [tex]\frac{3.6}{7.4}[/tex]
cos θ = 0.486
θ = [tex]cos^{-1}[/tex] (0.486)
θ = 60.89°
Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .
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P(x)=x-3
g(x) = 2x-5
Find the following.
(p °q) (5)= and (q °p) (5)=
Part 1) Computing (p °q) (5)
[tex]p(x) = x-3\\\\p(q(x)) = q(x)-3\\\\(p \circ q)(x) = 2x-5-3\\\\(p \circ q)(x) = 2x-8\\\\(p \circ q)(5) = 2(5)-8\\\\(p \circ q)(5) = 2\\\\[/tex]
Answer: 2===========================================================
Part 2) Computing (q °p) (5)
[tex]q(x) = 2x-5\\\\q(p(x)) = 2(p(x))-5\\\\q(p(x)) = 2(x-3)-5\\\\(q \circ p)(x) = 2x-6-5\\\\(q \circ p)(x) = 2x-11\\\\(q \circ p)(5) = 2(5)-11\\\\(q \circ p)(5) = -1\\\\[/tex]
Answer: -13. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.
Answer:
4/3 1.333 1 1/3
Step-by-step explanation:
plz help verbal expression
Answer:
3(9+r) = 27 + 3r
Sum = addition
Distributive property
For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.
Y=1/3x-4 + Y=-7/3x+4
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
How old would u be if you was born in 1475 and died in 1946
Answer: 471 years old
Step-by-step explanation:
1946-1475= 471
*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number
Answer:
5-w
2n
17+y
2m-12
n-11
(n stands for number)
Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
there is many ways but he could put them side to side or top and bottom
Step-by-step explanation:
The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing angle measure?
Answer:
32
Step-by-step explanation:
72 + 76 = 148
180 - 148 = 32
I hope this helps!!
Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail
Answer:
3 hours
Step-by-step explanation:
WHAT PERCENT OF 200 IS 28???? HELP MEEEEEE!!!!!!!!!
Answer:
14%
Step-by-step explanation:
Find the quotient of 29 and 200.
[tex]\frac{28}{200}=0.14[/tex]
Therefore, 28 is 14% of 200.
The number 28 is 14% of the number 200.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 200 and 28 is what percent of 200 will be calculated as:-
The percentage will be calculated as:-
200 x (X)% = 28
X% = ( 28 x 100) / 200
X% = 14%
Therefore, the number 28 is 14% of the number 200.
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Pls need help
Also making this 10 points so i have 169 points left B)
Answer:
Second and fourth
Step-by-step explanation:
A line is in point-slope form when you write down as [tex]y-y_0=m(x-x_0)[/tex] - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.
What is 3894 x 6? Use the distributive property to solve.
Answer: 23,364
Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4
Select all of the trip that would take 2 hours
Answer:
what are your options ??
Step-by-step explanation:
Please Help - For the equation given below, evaluate y′ at the point (−1,2).
ey+19−e2=3x2+4y2.
y′ at (−1,2) =
[tex]e^y +19-e^2 = 3x^2 +4y^2\\\\\implies \dfrac{d}{dx}(e^y +19-e^2) = \dfrac{d}{dx}(3x^2 +4y^2)\\\\\implies e^y \dfrac{dy}{dx}+0 = 3\dfrac{d}{dx} x^2 +4\dfrac{d}{dx} y^2\\\\\implies e^y y' = 6x + 8y y'\\\\\implies e^y y' -8yy' = 6x\\\\\implies y'(e^y -8y) = 6x\\\\\implies y' = \dfrac{6x}{e^y -8y}\\\\\text{At point (-1,2)}\\\\y' = \dfrac{6(-1)}{e^2 -8(2)} = - \left(\dfrac{6}{e^2 -16}\right) =-0.25[/tex]
The given triangles are similar. Find x.
Answer:
9
Step-by-step explanation:
Each side is being multiplied by 1.5.
3 times 1.5 is 4.5.
7 times 1.5 is 10.5.
6 times 1.5 is 9.
A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)
Check the picture below.
let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]
[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]
find the inverse of f(x)=x^2-3x+2
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
product of (x+2y^2)(2x-2y^2)
Answer:
Step-by-step explanation:
(x + 2y²)(2x - 2y²)
FOIL
First
x(2x) = 2x²
Outside
x(-2y²) = - 2xy²
Inside
2y²(2x) = 4xy²
Last
2y²(-2y²) = - 4y⁴
combine like terms
2x² + 2xy² - 4y⁴
Answer:
-4y^4 + 2xy^2 + 2x^2
Step-by-step explanation:
(x + 2y^2) (2x - 2y^2)
x(2x) + x(-2y^2) = 2x^2 - 2xy^2
2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4
2x^2 - 2xy^2 + 4xy^2 - 4y^4
2x^2 + 2xy^2 - 4y^2
or
-4y^4 + 2xy^2 + 2x^2
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
Pleaze help brainlyest
What is the solution to this problem
1. A store in Grand Rapids, Michigan, advertised a side-by-side
refrigerator for $1,699.99.
a. What is the sales tax if the combined state and city rate is 6%?
b. What is the total purchase price?
The store Grand Rapids in Michigan placed and advert for a refrigerator for $1,699.99, also the tax rate is 6%.
Total cost = Tax + cost of refrigerator
$2719.984
Solution
let us find 6% of $1,699.99, this will be the amount paid as tax
Tax = 6/100*$1,699.99
Tax = 0.6*1,699.99
Tax = $1019.994
Now let us find the total amount paid for the refrigerator
This will be the cost of the refrigerator plus the Tax paid
Total = 1,699.99+1019.994
Total = $2719.984
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three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!!!!
Write an equation involving absolute value for the graph.
Answer:
-3<lxl<5
Step-by-step explanation:
take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid
