Answers
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{x}{2x - 3} = \frac{10}{14}[/tex] --> Triangle Proportionality Theorem
10(2x - 3) = 14(x) --> Cross Multiplying
20x - 30 = 14x --> Distributing 10 and 14 to the parentheses
20x -30 - 14x + 30 = 14x - 14x + 30 --> Subtracting 14x and adding 30 on both sides
6x = 30 --> Simplifying
6x/6 = 30/6 --> Dividing 6 on both sides
x = 5 --> Simplifying
Hope this helped!
By the way, I'm not so sure you understand the concept of "Triangle Proportionality Theorem" since you asked a similar one before that. So I'll post an image that I found on the internet that explains it. :D
Related Questions
The width of a rectangle is 10 less than the length. If the perimeter is 80 yards, find the length and width.
Answers
Answer:
Width is 15, length is 25
Step-by-step explanation:
80=2(X+(X+10)
40=2x+10
30=2x
x=15
Width is 15, length is 25
Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answers
Answer:
−6cos( π/3 t)+21
Step-by-step explanation:
The length of the accordion is −6cos( π/3 t)+21.
How to derive a sinusoidal expression?We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.
Given
A = 5+1 = 6
Shift = 21
ω =- π/3[because of 4th quadrant]
exp = Asin[-ωt] + shift
=-Acosωt + shift = -6cosπ/3 t + 21
To know more about sinusoidal expression refer to :
https://brainly.com/question/2410297
#SPJ2
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
Answers
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
Can you help me, please?
Answers
Answer:
594 and i have to add words or else i cant submit the answer
7/8 divided by 1/8 pluse 2by the power of 2
Answers
Answer:
Hey
Step-by-step explanation:
You answered a similar way on my page so im taking revenge :)
getting those points back
Helppppppppppp Bobby hill I need help
Answers
Answer:
a and d
Step-by-step explanation:
trust
What is the simplified form of the following expression?
Answers
A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?
Answers
Answer:
here,
15 pound bag =$6.30
or, 1 pound bag = 6.30/15
or, 1 pound bag = $0.42
or,29 pound bag = 29 X $ 0.42
or, 29 pound bag = $ 12.18
Hence, a 29 pound bag of apple cost $12.18
Write the ordered pairs when rotated 270 clockwise around the origin A (2,-3) B (-4,6) C (-5, -7)
Answers
Find the height of an equilateral triangle with side length 8.
Answers
Answer:
4 root 3
Step-by-step explanation:
formula of height equalitral triangle:
side/2 root 3:
side = 8
8/2*root 3
4 root 3
Please need help ASAP I would really appreciate if you help me
Answers
Answer:
y = 900(1 - .40)^3
y = 194.4 or rounds to $194
Step-by-step explanation:
-8x+1/4(20x-12)=qx-3
Answers
Answer:q= -3
Step-by-step explanation:
Let's solve for q.
−
8
x
+
1
4
(
20
x
−
12
)
=
q
x
−
3
Step 1: Flip the equation.
q
x
−
3
=
−
3
x
−
3
Step 2: Add 3 to both sides.
q
x
−
3
+
3
=
−
3
x
−
3
+
3
q
x
=
−
3
x
Step 3: Divide both sides by x.
q
x
x
=
−
3
x
x
q
=
−
3
Answer:
simplify the expression t+2+6t
Answers
Answer:
2+7t
Step-by-step explanation:
combine like terms
t+2+6t
2+7t
What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1
Answers
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!
here is the question and again if you were on the other question and u get it right then i will give brainilst on both
Answers
Answer:
[tex]3x^3-3y-3[/tex]
Step-by-step explanation:
[tex]3-3+x^{3}+6x^{3}-3y-3-4x^{3}=3x^3-3y-3[/tex]
1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?
Answers
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for a certain item was twice as big as the original. By what percent was the first increase, if the second increase was 25%
Answers
Answer:
The first increase was of 60%.
Step-by-step explanation:
The initial value of the product is x.
The first increase was of y.
The second increase is of 25%, that is, 1.25.
The final price was double the original, so 2x.
This situation can be modeled by the following equation:
[tex]xy(1.25) = 2x[/tex]
We want to find y.
Simplifying by x
[tex]1.25y = 2[/tex]
[tex]y = \frac{2}{1.25}[/tex]
[tex]y = 1.6[/tex]
After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.
Does this procedure describe a completely randomized design for this experiment?
Answers
Answer:
Yes
Step-by-step explanation:
solve the inequality
Answers
Answer:
-18>t
Step-by-step explanation:
just move the 7 over the > sign lol
A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)
PLEASE HELP GIVING 50 POINTS!!!
Answers
Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
A
[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]
What the answer? plzzz help be serious
Answers
Answer:
It’s the 3 one
Step-by-step explanation:
A high school club has 10 members who are seniors and 8 members who
are juniors. If a member is randomly selected to be the club president,
what is the probability that the person will NOT be a senior?
Answers
Answer:
The probability that the person will not be a senior
P(E⁻) = 1 - P(E)
= [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]
Step-by-step explanation:
Explanation:-
Given A high school club has 10 members who are seniors and 8 members who are juniors
n(S) = 10 + 8 = 18
If a member is randomly selected to be the club president
Let 'E' be the event that the person will be a senior
The probability that the person will be a senior
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}[/tex]
The probability that the person will not be a senior
P(E⁻) = 1 - P(E)
= [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]
Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?
Answers
Answer:
$40.00
Step-by-step explanation:
Answer:
$1400
Step-by-step explanation:
please help i don't understand
Answers
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 6 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answers
Answer: 90 different meal packages.
Step-by-step explanation:
Given data:
Types of drinks available = 5
Types of sandwiches available = 6
Types of chips available = 3.
Solution:
No of meal packages possible for this combination
= 6*5*3
= 90
A total of 90 different meal packages would be gotten:
3.
5y + 3y for y = 2
Answers
Answer:
16
Step-by-step explanation:
You plug in the value of y into the expression:
5(2) + 3(2)
10 + 6 = 16
The sum of -5, -9, and 10 is _______.
A. 14
B. -14
C. 4
D. -4
Answers
Answer:
D. -4
Step-by-step explanation:
-5 + -9 = -14
-14 + 10 = -4
Answer:
the sum of -5, -9, and 10 is -4
Step-by-step explanation:
add all of them together
Which graph represents the function
Answers
Answer:
The Fourth One.
The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3
hope it helps!
PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?
Answers
Answer:
x the (x) value of the ordered pair, it is proportional.
Step-by-step explanation:
Question???
-9 - (-4) =
Answers
Answer:
-5
Step-by-step explanation:
Answer:
-5
Please mark as brainliest if this helped you the most, thanks if you do and have a good day/night!