Let the number of men and the number of women in the beginning be x and y
Now,[tex]\sf \frac{x} {y} =\frac{5}{2} \\\\\sf
=2x=5y \\\\\sf
=x=\frac{5y}{2}[/tex]
Now, In 2nd case,
No. Of men=x-63 and no. Of women =y-12
Now,the ratio becomes[tex] \frac{x-63}{y-12}=\frac{7}{4} \\\\\sf
=4(x-63)=7(y-12) \\\\\sf
=4x-252=7y-84 \\\\\sf
Putting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf
10y-252=7y-84 \\\\\sf
=10y-7y=252-84 \\\\\sf
=3y=168 \\\\\sf
=y=56 \\\\\sf
=\boxed{Y=56}
[/tex]
Now,we have, 2x=5y
Putting the value of Y=56 in 2x=5y,we get,
[tex]\sf 2x=5\:x\:56 \\\\\sf
x=\frac{5\:x\:56}{2} \\\\\sf
x=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf
=x=5\: x\: 28 \\\\\sf
x=140 \\\\\sf
\boxed{x=140}
[/tex]
Hence, the number of men was 140 and the no. of women was 56
Hi...I am from India.. Where are you from?
there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange
Answer:
11 out of 39
Step-by-step explanation:
Answer:
\frac{11}{39}
39
11
Step-by-step explanation:
There are 39 fruits in all.
11 + 6 + 9 + 13= 3911+6+9+13=39
Therefore, there would be 39 total events.
There are 11 preferred events, as there are eleven oranges out of the 39 fruits.
\frac{preferred}{total} =\frac{11}{39}
total
preferred
=
39
11
So, there should be a 11/39 chance that a person would pick an orange.
\frac{11}{39}
39
11
is already in it's lowest terms
The string is 30 centermeters long how long is string in inches
Answer:
11.811 inches
Step-by-step explanation:
every inch is 2.54 centimeters
Answer:
11.811 inches
Step-by-step explanation:
divide the length value by 2.54
Combine like terms to create an equivalent expression.
11/12 - 1/6q + 5/6q - 1/3
Answer:
The answer is 8q+7/12
Step-by-step explanation:
2/3 x-4 = -2
A -3
B -4
C -9
D 3
Answer:
i think its d
Step-by-step explanation:
cause i solved it and got the same answer
Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.
Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1
Which statement is true?
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.
Answer: -3.7
Step-by-step explanation:
Step 4 is wrong 6.1 - 9.8 = -3.7
Jamal wants to subtract 16-7. First he subtract 16-6 then he subtracts 1 why will he get the correct answer
Step-by-step explanation: He will get the answer correct because if you add the 6 & 1 together it equals Seven. Seven was the original number that was supposed to be subtracted from 16.
Sorry if I didnt help
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function
A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation
Answer:
C:Neither funtion nor relation
C:Ni función ni relación
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
relation only
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
What are the 4 terms for f(x)=7-2x
Answer:
f, x, 7, -2
Step-by-step explanation:
please help. im really struggling,
Answer:
3/10 =a
Step-by-step explanation:
X*1/5×3/2 =X*a
X*3/10 =X*a
base are same so
3/10 =a
Six multiplication problems involved in solving 325 x 89
Answer:
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9) = 28925
Step-by-step explanation:
Given;
325 x 89
Expand 325 = 300 + 20 + 5
Expend 89.0 = 80 + 9
now multiple to two expanded numbers;
(300 + 20 + 5) x (80 + 9)
distribute the number accordingly as follows;
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9), now we have Six multiplication problems.
= 24,000 + 2700 + 1600 + 180 + 400 + 45
= 28925
Which expression is equivalent to -51 - (-60)?
Answer:
The answer is 9.
Step-by-step explanation:
I had the question on one of my quizzes.
Write the standard form of the equation:
Slope= 3 y-intercept= -1
Answer:
y=3x-1
Step-by-step explanation:
y=mx+b
y=3x+b
y=3x-1
what is the measure of an angle that is linear pair with 10 degrees
Answer:
170 degree bcause 180 -10 = 170 ( linear pair )
Answer:
170 degree bcause 180 -10 = 170 ( linear pair )
Step-by-step explanation:
Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?
Answer:
(y, -x -6)
Step-by-step explanation:
The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)
The first transformation: 6 units right
[tex](x,y) -> (x + b, y)[/tex]
Where b = 6
So, the new coordinates will be
[tex](x + 6, y)[/tex]
The second transformation: 90° clockwise
[tex](x,y) -> (y,-x)[/tex]
So, the new coordinates will be
[tex](x + 6, y)-> (y, -x -6)[/tex]
Hence, the new coordinates of PQRS is (y, -x - 6)
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 students using Method 1 produces a testing average of 61. A sample of 156 students using Method 2 produces a testing average of 64.6. Assume the standard deviation is known to be 18.53 for Method 1 and 13.43 for Method 2. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval.
Answer:
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between population means is:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}[/tex]
The information provided is as follows:
[tex]n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43[/tex]
The critical value of z for 98% confidence level is,
[tex]z_{\alpha/2}=z_{0.02/2}=2.326[/tex]
Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}[/tex]
[tex]=(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)[/tex]
Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
a recipe calls for 4 teaspoons of cinnamon to make 2 dozen oatmeal cookies .how many teaspoons of cinamon are needed to make 60 oatmeal cookies?
Answer:
10 teaspoons
Step-by-step explanation:
1 dozen of cookies= 12 cookies
4 teaspoon of cinnamon ----- 2(12)= 24 cookies
Amount of cinnamon needed per cookie
[tex] = \frac{4}{24} \\ = \frac{1}{6} \: teaspoon[/tex]
Teaspoons of cinnamon needed for 60 cookies
[tex] = 60( \frac{1}{6} ) \\ = 10[/tex]
Thus, 10 teaspoons of cinammon is needed for 60 oatmeal cookies.
Help me for free brainlyist
Answer:
30. 5 and 6
31. about 7 feet
32. E
33. 7 and 8
34. 111
Answer:pappy happy jigen
Step-by-step explanation:
twice the cube root of a number is 24. find the number
Answer:
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...
What is the least common multiple of 4 and 12?
Answer:
The lcm (least common multiple) of 4 and 12 is 12.
Step-by-step explanation:
Find the prime factorization of 4
4 = 2 × 2
Find the prime factorization of 12
12 = 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3
LCM = 12
The Least common multiple of 4 and 12 is 12.
I hope this helps!
devisibility rules for 3, 6, and 9
Answer:
★ Divisibility rule for 3 -
If the sum of all the digits divisible by 3 then the number is divisible by 3.
Here, we take an example for better understanding -
Example 1 - 3525
Add up the digits - 3 + 5 + 2 + 5
→ 15
As, 15 is divisible by 3. So, 3525 is a factor of 3.
★ Divisibility rule for 6 -
A number is to be divisible by 6 , if the number is also divisible by 2 and 3.
Example 2 - 132
Add up the digits = 1 + 3 + 2 = 6
As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.
★ Divisibility rule for 9 -
If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.
Example 3 - 1052
Add up the digits - 10 + 5 + 2 = 17
As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.
What is the value of x that makes the equation true?
2x+21 =-3 (2x-3)+2x
Answer:
-2
Step-by-step explanation:
x = -2
Answer:
Step-by-step explanation:
2x+21 =-3 (2x-3)+2x
distributive property
2x+21=-6x+9+2x
combine variables
2x+21=-4x+9
simplify
-2x=12
simplify
x=-6
in general how does perimeter "a" affect y=a(b x-c)?
A affects the slope of the graph.
When a is less than 1, the amplitude of the graph decreases which causes the slope of the graph to appear more flat.
When a is greater than 1, the amplitude of the graph increases which causes the slope of the graph to appear more steep.
D
Question 2
1 pts
Witch-in-training Blythe buys a box of chocolate frog cupcakes for her new neighbors, but they look so delicious, she decides to try a copy spell to create an extra batch for herself. But oh,
no, the spell goes wrong, and now the cupcakes won't stop copying themselves. There were 12 cupcakes to start off with, and their numbers increase at a rate of 20% per minute. Which
equation below could be used to determine how many cupcakes there will be after 'm' minutes?
Answer:
Step-byWhich of the following is a common sign that a chemical change has occurred?-step explanation:
The norman h.s. math club has twice as many male members as female members twenty percent of the male members and 30 female members participated in a math contest. What fraction of those members participating in the math contest were female? express your answer as a common fraction
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
20% male and 30% female. 20% + 30%= 50% It is asking us what members participating was female. *50% out of 100%
> [tex]\frac{30}{70}[/tex] reduce or divide by 10 we get our fraction and answer, [tex]\frac{3}{7}[/tex].
The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
Answer:
y = |-x-1| + 8.
Step-by-step explanation:
A reflection across the y axis gives the equation y = |-x -1| + 7.
Then a translation up 1 unit gives the equation y = |-x-1| + 8.
What is the expanded form of (a + b)^2?
Answer:
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
Answer:
(a + b) × (a + b)
Step-by-step explanation:
(a + b)²
(a + b) × (a + b)
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
Is -0.25 irrational or rational
Answer: Irrational
Step-by-step explanation:
-0.25 is irrational because it can be written as a terminating decimal.
Answer:
irrational
Step-by-step explanation:
y2=2x2−1 is a function
Answer:
what do you need to to know 1) what kind of function its or 2) whats the answer of y and/or x
8^(1/2)+16^(1/4)-12^(1/2)+81^(1/4) and 〖8∙2〗^(1/2)-24^(1/4)-3^(1/2)+128^(1/4)
Answer:
Im too gucci. 88.
Step-by-step explanation:
