Answer:
84 women
Step-by-step explanation:
Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.
4x = men and the unknown variable that will solve the amount of men
3x = women and the unknown variable that will solve the amount of women
Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!
4x + 3x = 196
We will use this equation to solve for X by the process of addition and division.
4x + 3x = 196
7x = 196
196 ÷ 7 = 28
x = 28
Now we will use this variable and apply it for x to find the number of women.
3 x 28 = 84 women!
Checking the answer:
4 x 28 = 112 men
84 + 112 = 196
Therefore, this answer checks out.
solve for x 7(x-3)+3(4-x)= -8
Answer:
Step-by-step explanation:
7x - 21 + 12 - 3x = -8
4x - 9 = -8
4x = 1
x = 1/4
Answer:
x= 0.25, or x=1/4
Step-by-step explanation:
First, use the distributive property and multiply 7 within the parenthesis:
7x -21
Next, use the distributive property again, and multiply 3 within the parenthesis:
12 -3x
Combine Like terms: 7x - 21 + 12 - 3x
4x - 9
Add 9 to both sides: 4x - 9 = -8
-8 + 9 = 1
Divide 4 by both sides: 4x = 1
1 / 4 = .25 or 1/4
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?
Answer:
The maximum height the ball reaches is 64 feet
Step-by-step explanation:
The given function is f(x) = -16·(x - 2)² + 64
From the equation, the path described by the ball is an inverted n-shaped parabola
The maximum height is therefore, the tip of the parabola
At the maximum height, the slope = 0 because the tip is momentarily flat
Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height
Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64
To check if it is a maximum, we have;
d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope
Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0
64 = 32·x
x = 64/32 = 2 seconds
We now have the x-value at the slope, the f(x) value, is therefore;
f(2) = -16·(2 - 2)² + 64 = 64 feet
Therefore, the maximum height the ball reaches is 64 feet.
Answer:
D: 6
Step-by-step explanation:
I got it right on the test Edge nuity
Consider the following points. (−4, −1) and (4, 2) Let Y'O' be the image of YO after a reflection across line . Suppose that ′ is located at (1, 4) and ′ is located at (−2, −4). Which of the following is true about line ?
The line was reflected about the line y = -x.
-----------------------------------------
This question is solved using reflection concepts.
There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.
-----------------------------------------
In this question:
Point (-4,-1) became (1,4).Point (4,2) became (-2,-4).From this, we have the following rule: (x,y) -> (-y,-x)
Checking the rules, it can be said that the line was reflected about the line y = -x.
A similar question can be found at https://brainly.com/question/16130908
Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
Answer:
Below,...
Step-by-step explanation:
They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...
Hope it helps,... Chow!
Points A, B, and C are collinear. Point B is between point A and point C. Find the length of AB if AB=20+x, BC=2x+31, and AC=18. *
Answer:
ab=9
Step-by-step explanation:
AB=BC
2X+31=20+X
X=-11
ab= 20+(-11)
= 9
bc= 2(-11) +31
=9
ab+bc= ac
9+9=18
Find y. A. 63–√ B. 33–√ C. 23√3 D. 3
This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.
Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)
Answer:
D.) 3
Step-by-step explanation:
I got it correct on founders edtell
Find four rational number between 1/4 and 2/3.
Answer:
4/12, 5/12, 6/12, 7/12
Step-by-step explanation:
1/4 x 3/3 = 3/12
2/3 x 4/4 = 8/12
between 3/12 and 8/12
4/12, 5/12, 6/12, 7/12
you can simplify these if you wish
Hope that helped!!! k
Rodrigo and his cousin have 8 bags of marbles. Some of the bags contain 5 white marbles. The rest of the bags contain 7 pink marbles. They have 48 marbles in all. How many bags of each color marble do the cousins have?
Answer:
The cousins have 4 bags of white marbles and 4 bags of pink marbles.
Step-by-step explanation:
If x is the number of bags with white marbles and y is the number of bags with pink marbles, we can write the following system:
x + y = 8 -- Equation 1
5x + 7y = 48 -- Equation 2
5x + 5y = 40 -- Equation 3 (Multiply Equation 1 by 5)
2y = 8 -- (Subtract Equation 3 from 2)
y = 4 -- (Divide both sides by 2)
x + 4 = 8 -- (Substitute y = 4 into Equation 1)
x = 4 -- (Subtract 4 from both sides)
5. Which property was used to simplify the expression?
a) distributive property
b) commutative property
c) associative property
d) inverse property
Answer:
a
Step-by-step explanation:
distributive property
Solve for b. -11b+7 = 40 b=
Answer:
B= -3
Step-by-step explanation:
Move the terms that do not contain b to the right then solve. Hope this helps!
Answer:
[tex]\large \boxed{{b=-3}}[/tex]
Step-by-step explanation:
[tex]-11b +7=40[/tex]
Subtract 7 from both sides.
[tex]-11b +7-7=40-7[/tex]
[tex]-11b=33[/tex]
Divide both sides by -11.
[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]
[tex]b=-3[/tex]
Can anyone help idk how to do it
Answer:
Carl can type 450 words in 5 minutes at that rate.
Step-by-step explanation:
Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)
if we multiply 90wpm by 5 Minutes, we get 450 words per minute
another one another one...........
Answer:
B
Hope it helped you out
Tysm
A football stadium splits ticket sales in ratio of 3 : 4 between the away team and the home team. The home team make £36,000. What is the total amount of ticket sales?
The ratio 3:4 means for every 3 pounds made in away team tickets versus home team tickets. Multiply both sides by 9000 to have that 4 turn into 36000. The ratio 3:4 will then turn into 27000:36000
With this new ratio, we see that the away team pulls in 27000 and the home team pulls in 36000. Add the two amounts to get the final answer
27000+36000 = 63000
------------
We could alternatively add 3 and 4 (from the ratio 3:4) to get 3+4 = 7. Then multiply by that same scale factor 9000 getting 9000*7 = 63000.
please help me for the homework
Answer:
refer to the pic attached
What is the smallest number than can be subtracted from 438 to make it
exactly divisible by 5? Give a reason for your answer.
Answer:
3
Step-by-step explanation:
basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3
Answer:
Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.
HELP ME PLEASE.
find the perimeter,area and T.S.A of the following solids
Answer:
I think the perimeter is 50cm the solids is 600cm³
Step-by-step explanation:
Perimeter: (5×10)=50cm
Solids: divided with 2box(A box & B box)
Abox: 5cm x 5cm x 12cm
=300cm³
Bbox: 5cm x 12cm x 5cm
=300cm³
Solids:(Abox +Bbox) 300cm³ + 300cm³
=600cm³
I think, I'm sorry if it's wrong
What is the values of x and y
Answer:
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
Answer:
Hey there!
I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.
Hope this helps :)
Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x
Answer:
Baba
Step-by-step explanation:
Booey
a=v^2/r Solve the formula for r
Answer:
[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]
Step-by-step explanation:
[tex]\displaystyle a=\frac{v^2 }{r}[/tex]
We need to rearrange and solve the formula for [tex]r[/tex].
Multiply both sides of the equation by [tex]r[/tex].
[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]
Simplify the equation.
[tex]ar=v^2[/tex]
Divide both sides of the equation by [tex]a[/tex].
[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]
Simplify the equation.
[tex]\displaystyle r =\frac{v^2 }{a}[/tex]
How many solutions exist for the given equation?
3(x-2)=22-x
O zero
Oone
Otwo
Oinfinitely many
Answer:
one solution
Step-by-step explanation:
3(x-2)=22-x
Distribute
3x -6 = 22-x
Add x to each side
3x-6+x = 22-x+x
4x-6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
There is one solution
Answer:
It has only one solution
Step-by-step explanation:
[tex]3(x - 2) = 22 - x [/tex]
open the brackets:
[tex]3x - 6 = 22 - x[/tex]
collect like terms together:
[tex]3x + x = 22 + 6[/tex]
then solve:
[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
Simplify 4^2+6(.5)-2^
Please show step by step :)
———————
Simplify 10- (15/5+4)
Please show step by step :)
Answer:
4^2 + 6(5)-2^3
16+30-8
38
Translate each verbal expression to an algebraic expression.
1. 6 less than the product of a cubed number and 15
2. The sum of the product of 4 and a squared number and the quotient of 5 and 3.
Step-by-step explanation:
Let the number be x, thenx³×15-6
15x³-6
2. Let the number be y, then
(4×y)+(5/3)
4y+5/3
(08.02)How many solutions are there for the system of equations shown on the graph? No solution One solution Two solutions Infinitely many solutions
Answer: Infinitely many solutions
Step-by-step explanation:
There are many solutions because the lines lies on top of each other.
i dont know the exact answer but its not
One solution
Two solutions
so its most likely
Infinitely many solutions
Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm
Answer:
P = 98 cmStep-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
The table below shows the number of cars Jing sold each month last year.
What is the median of the data in the table.
13
16
19
20.5
23.5
Other:
Answer:
The median of the data in the table is 19.
Step-by-step explanation:
We are given the following data that shows the number of cars Jing sold each month last year below;
Number of cars Jing sold: 13, 16, 19, 20.5, 23.5
For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in our data is odd, i.e. n = 5.
So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]
= 3rd obs. = 19
Hence, the median of the data in the table is 19.
3. a. Simplify (2x + y) (x-7)
b. Find the truth set of 2x-3 +3 = -1
Answer: b. X=-1/2
Step-by-step explanation:
2x-3+3=-1-3 and +3 cancel each other
2x=-1 both sides divided by 2
X=-1/2
The volume of a sphere whose diameter is 18 centimeters is π cubic centimeters. If its diameter were reduced by half, its volume would be of its original volume.
Answer:
3053.5517 cm^3 ; 1/8
Step-by-step explanation:
Given the following :
Volume (V) of sphere = (4/3)πr^3 where r = radius
Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm
V = (4/3) × π × 9^3
V = 1.3333 × π × 729
V = 3053.5517 cm^3
When diameter(d) is reduced to half
d = d/2
Volume (V1) of sphere with diameter 'd' =
V1 = (4/3)π(d/2)^3
Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4
V2 = (4/3)π(d/4)^3
V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]
V1 / V2 = (d/2)^3 / (d/4)^3
V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]
V1 / V2 = 8 / 64
V1 / V2 = 1 / 8
Answer:
first blank is 972
second blank is 1/8
yup
Step-by-step explanation:
simple way to differentiate between speed and average speed.
Answer:
speed
1)the distance travelled by a body per unit time is known as speed.
2) speed is speed, or something how fast is going,
3) while velocity is speed how fast something is going in a specific direction.
average speed
1) average speed is the speed added up and divided by number of speed .
2)the average of all the instantaneous speed in a give time interval.
3) the average speed as the duration of the time interval approaches zero.
Someone plz help me I’m stuck with this one T^T
Answer:
SID WILL FINISH FIRST
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{6} =[/tex]
[tex]\frac{2}{3}[/tex] * [tex]\frac{6}{1} =[/tex] = 12/3 = 4
~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{9} =[/tex]
[tex]\frac{1}{3}[/tex] * [tex]\frac{9}{1} =[/tex] = 9/3 = 3
In a bag of M&MS there are 4 green, 6 yellow and 8 blue candies. What is the probability of drawing a blue then a green if you replace the candy after the draw?
Answer:
8/81
Step-by-step explanation:
8/18 x 4/18 = 32/324 = 8/81
The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.
The probability for blue = 8/18
The probability for green = 4/18
The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-
Probability = 8/18 x 4/18
Probability = 32/324
Divide the number 32 by 324 to get the probability.
Probability = 8/81
Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.
To know more about probability follow
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