Answer: no of women before they walked in is 8.
Step-by-step explanation:
given data:
ratio of men and women = 3:5
when 2 men and 1 woman walks in = 2:3
solution:
no of women in the theatre before they walked in
men/women= 3/2,
let men =3x............eqn1
women = 2x................eqn2
Total =20
therefore:
[tex]3x+2x=20[/tex]
collect like terms
[tex]5x=20[/tex]
[tex]x=[/tex][tex]\frac{20}{5}[/tex]
[tex]x=4[/tex]
substitute the value gotten for x into equation 1 and 2
[tex]men = 3x= 3(4)=12\\women=2x=2(4)=8[/tex]
Determine the intercepts of the line.
y = -2x-21
X-intercept:
y-intercept:
(-6+51)+(2-5i)-(1+61)
Answer:
-15 - 5 i
Step-by-step explanation:
Answer:
−15 − 5i
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
what is 1.117468769rounded two decimal places
What is the least common multiple of 2x^2 and 4x+12
Answer:
4 x ^2 ( x + 3 )
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Compare and contrast the attributes of a square and a rhombus
Answer:
They both have edges
Step-by-step explanation:
Can somebody help me??
Answer:
65 miles
Step-by-step explanation:
Answer:
65MPH (or 65 miles)
Step-by-step explanation:
I used a proportion:
487.5MI/7.5HR = ?MI/1HR
(mi/hr = mi/hr)
cross multiply:
487.5 x 1 = 487.5
then divide:
487.5 divided by 7.5 =
65 miles
Hope this helps!
Bri <3
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 = 7. Describe what this statement means about the number of solutions and about the graph of the system. .
Answer:
System of equations are independent, if 2nd equation is not multiplication of firstequation by some number . ... Simplify the 2nd equation: ... y - 2x = -7 ... If you solve the equationsalgebraically and you get a solution such as 5=5, then ... If you use either method and end up with astatement that's always true i hope this helps
Step-by-step explanation:
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Step-by-step explanation:
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
(12x³+x²)-(18x³-3²+6)
write an equation for the nth term of the arithmetic sequence -5 -4 -3 -2
What is that answer to that math problem ?
Answer:
1. x = 20
2. x = 5.25
3. x = 35
Step-by-step explanation:
Hope this helps!
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%
If two complementary angles have measures of (5x + 3) and (3x - 1)º. Find the value of x.
7b + 15 +4 it says write two equivalent expressions.Help
Answer:
1. 4b+3b+15+4
2. 7b+19
Step-by-step explanation:
Both are equivalent expressions :))
Write each number in scientific notation
A: 907,000,000,000,000,00
B: 168,000,000,000,000
C: 0.00000304
D: 0.000000000000865
Answer:
A.9.07 × 10^16
B.1.68 × 10^14
C.3.04 × 10^-6
D.8.65 × 10^-13
Step-by-step explanation:
please mark brainliest!!!
HELPPPPPPPPPPPPPPPPPP
Answer:
23 or 22....
Step-by-step explanation:
because he got 3 questions wrong sooooo yeah... ya✋
Answer:
The student had a total of 25 questions on his test.
Step-by-step explanation:
Given that:
Number of questions answered correctly in the test = 20
Percentage scored in the test = 80%
Let,
x be the total number of questions on test.
We know that 80% of the test is 20 questions, therefore,
80% of x = 20
[tex]\frac{80}{100}x=20\\0.8x=20[/tex]
Dividing both sides by 0.8
[tex]\frac{0.8x}{0.8}=\frac{20}{0.8}\\x=25[/tex]
Hence,
The student had a total of 25 questions on his test.
Need help for this assignment
the answer is 124
Step-by-step explanation:
when calculating the angles of a triangle, all angles need to add up to 180 total. So take 180 and substract 28 from it twice to find the remainder.
Answer:
i think its 58?
Step-by-step explanation:
15 POINTS AND BRAINLIEST What is the value of x + y?
A system of equations is shown.
2x + 2y = 24
x = 3y
Answer:
(9,3)
Step-by-step explanation:
т.N лежи на отсечката AB, така, че AN:NB=7:4, AN=22,4dm. Дължината на отсечката AB
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
Solve the system if equations by substitution
Y=4x+9
y=9x+10
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
If f(x)f(x) is an exponential function where f(4.5)=23f(4.5)=23 and f(8)=42f(8)=42, then find the value of f(5.5)f(5.5), to the nearest hundredth.
Answer:
f(5.5)≈27.32
Step-by-step explanation:
The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60([tex]1.19^{x}[/tex]).
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
Suppose the exponential function is f(x) = a[tex]b^{x}[/tex].
As per the given,
f(4.5) = 23
Put x = 4.5 as
23 = a[tex]b^{4.5}[/tex] (1)
As per the given,
f(8) = 42
Put x = 8 as
42 = ab⁸ (2)
Divide equation (2) by (1) as,
ab⁸ / a[tex]b^{4.5}[/tex] = 42/23
[tex]b^{8-4.5}[/tex] = 42/23
b = 1.19
Again put into (2)
42 = a(1.19)⁸
a = 10.60
Thus, the function will be f(x) = 10.60([tex]1.19^{x}[/tex]).
Hence "The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60([tex]1.19^{x}[/tex])".
For more about exponential function,
https://brainly.com/question/15352175
#SPJ2
What is -2(3x - 9) + 5x = -10
Answer:
x=28
Step-by-step explanation:
-2(3x-9)+5x =-10
now we times -2 to to the inside of the parenthese
giving us
-6x+18 +5x= -10
add like terms
add -6x and 5x
-1x+18=-10
now we add like terms of the constants
minus 18 on both sides
-1x=-28
now divide by -1
x = 28
Answer:
x = 28
Step-by-step explanation:
First, remove the parentheses by distributing -2.
-6x + 18 + 5x = 10
Next, collect the like terms.
-x + 18 = -10
Next, move the constant to the right-hand side and change its sign.
-x = -10 - 18
Next, calculate the difference
-x = -28
Lastly, change the signs on both sides of the equation.
x = 28
These are the steps to answer this equation.
A circular path runs around a circular plot. If the circumference of the plot and the path are 44m and 88m,respectively, find the width of the path
Answer:
7 meters
Step-by-step explanation:
circumference of path=88m
⇒2πr=88
⇒2.
7
22
.r=88
⇒r=14m
circumference of plot=44m
⇒2πr
′
=44
⇒2.
7
22
.r
′
=44
⇒r
′
=7m
therefore width of path=r−r
′
=14−7
=7m
You make 12 equal payments. You pay a total of $2100. How much is each payment?
(-1, 7) and (2, -2) find the slope between each pair of points
Answer:
-9/3 or -3
Step-by-step explanation:
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
Use____to isolate the variable
Answer:
inverse operation(s)
Step-by-step explanation: