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
-8x+1/4(20x-12)=qx-3
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:
Write the ordered pairs when rotated 270 clockwise around the origin A (2,-3) B (-4,6) C (-5, -7)
Does this procedure describe a completely randomized design for this experiment?
Answer:
Yes
Step-by-step explanation:
PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?
Answer:
x the (x) value of the ordered pair, it is proportional.
Step-by-step explanation:
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
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
What is the simplified form of the following expression?
Helppppppppppp Bobby hill I need help
Answer:
a and d
Step-by-step explanation:
trust
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?
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
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
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?
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]
simplify the expression t+2+6t
Answer:
2+7t
Step-by-step explanation:
combine like terms
t+2+6t
2+7t
The sum of -5, -9, and 10 is _______.
A. 14
B. -14
C. 4
D. -4
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
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%
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%.
The width of a rectangle is 10 less than the length. If the perimeter is 80 yards, find the length and width.
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
Please need help ASAP I would really appreciate if you help me
Answer:
y = 900(1 - .40)^3
y = 194.4 or rounds to $194
Step-by-step explanation:
please help i don't understand
Which graph represents the function
Answer:
The Fourth One.
The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3
hope it helps!
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.
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
Find the height of an equilateral triangle with side length 8.
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
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
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:
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
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]
What the answer? plzzz help be serious
Answer:
It’s the 3 one
Step-by-step explanation:
Question???
-9 - (-4) =
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!
Can you help me, please?
Answer:
594 and i have to add words or else i cant submit the answer
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?
Answer:
$40.00
Step-by-step explanation:
Answer:
$1400
Step-by-step explanation:
7/8 divided by 1/8 pluse 2by the power of 2
Answer:
Hey
Step-by-step explanation:
You answered a similar way on my page so im taking revenge :)
getting those points back
solve the inequality
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!!!
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]
A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?
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
3.
5y + 3y for y = 2
Answer:
16
Step-by-step explanation:
You plug in the value of y into the expression:
5(2) + 3(2)
10 + 6 = 16