Square
_________________
The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?
Answer: 105
Step-by-step explanation:
Given
The ratio of men to women working for a company is 4:7
There are total of 165 employees
Suppose, there is 4x men and 7x women such that the ratio remains constant
[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]
[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]
help ...........................................
thanks,,,,
Answer:
(1,0) (0,-3)
Step-by-step explanation:
x then y a baby crawls before it walks.
Please answer its fill in the blanks
the words are at the bottom
Answer:
1. Grassland
2. grass
3. Temperate grassland
4. prairies
5. steppe
6. tropical grassland
7. savanna
8. intermountain grassland
9. mixed prairie
10. tallgrass prairie
Step-by-step explanation:
hey there, please help me. thank you
Answer:
S.S.S
Step-by-step explanation:
When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .
hope it is helpful to you
the price of a ring was increased by 30% to £325 what was the price before the increase
sin theta =12/13 then find tan theta.
I hope this is help full to you
Answer:
tan(θ) = 12/5
Step-by-step explanation:
According to Pythagoras,
sin(θ) = Opposite / Hypotenuse
tan(θ) = Opposite / Adjacent
(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2
or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2
or, (Adjacent)^2 = 13^2 - 12^2
or, (Adjacent)^2 = 169 - 144
or, (Adjacent)^2 = 25
or, Adjacent = 5
So, tan(θ) = 12/5
Hope this will help. Please mark me brainliest.
round to the nearest whole number than add 4.208 + 2.482
4.208 + 2.482= 6.69 so rounding that would be 7
4.208 + 2.482 = 6.69
When we round it to the nearest, it becomes 7.
Hope it helps you..
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
A triangle and a rectangle are shown below.
The area of the rectangle is 5 times the area of the triangle.
Work out the width(w) of the rectangle
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
Help me please thank u
Answer:
your answer to this question is C.
PLEASE HELP LIKE RIGHT NOW LOL
Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.
Answer:
It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.
3/4 x . 8 = 6
2-1=1
Math question!!!!!!!! Plz help
Answer:
A (-1)
Step-by-step explanation:
If you look on number line -1 is more left (smaller).
Answer:
-1
Step-by-step explanation:
-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
if sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:
Answer:
A. csc 0 = -5/4 or B. cos 0 = 3/5
Answer:
B or A
Step-by-step explanation:
sec(theta) = 1/cos(theta)
cos(theta) = adjacent side / hypotenuse.
The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus
Since the cos(theta) is positive in quad 4, B is going to be the answer.
The value for sin(theta) should be sin(theta) = - 4/5 not 2/5
Tan(theta) = - 4/3
Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.
a^2 + b^2 = c^2
a = the adjacent side = 3
b = the opposite side = b
c = the hypotenuse = 5
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4
What is the value of the expression. -(2 1/2 - 7) - 6 1/2?
Answer:-2
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?
Answer: 25
Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.
The question is, what is that number?
Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.
So half of -10 squared or -5 squared which is 25.
So 25 is added to both sides.
Please answer these tree questions in detail...
Will give Brainliest for the best...
Want answer in detail ASAP
Answer:
Step-by-step explanation:
14.
A.
x = 5.0081818181..
10x = 50.08181818181....
100x = 500.81818181818...
100x - x = 500.8181818... - 5. 008181818....
99x = 495.81
[tex]x = \frac{495.81}{99} = \frac{495.81 \times 100}{99 \times 100} \\\\\\x= \frac{49581}{9900}[/tex]
[tex]x = \frac{5509}{1100}[/tex]
14.
B.
[tex]\sqrt{50} - \sqrt{98} + \sqrt{162} \\\\\sqrt{ 2 \times 25} - \sqrt{ 2 \times 49} + \sqrt{2 \times 81}\\\\\sqrt{ 2 \times 5^2} - \sqrt{ 2 \times 7^2} + \sqrt{2 \times 9^2}\\\\5\sqrt2 - 7 \sqrt 2 - 9 \sqrt 2\\\\\sqrt{2} ( 5 - 7 + 9 ) \\\\7\sqrt2[/tex]
15.
[tex]\frac{3 + \sqrt5}{4 - 2\sqrt 5} \\\\= \frac{3 + \sqrt5}{4 - 2\sqrt 5} \times \frac{4 + 2\sqrt5}{4 + 2\sqrt5}\\\\[/tex] [tex][ \ rationalizing \ the \ denominator \ ][/tex]
[tex]=\frac{(3 + \sqrt5)(4 + 2\sqrt5)}{(4 -2 \sqrt5)(4 + 2\sqrt5)}\\\\=\frac{12 + 6 \sqrt5 + 4\sqrt5 + 2(\sqrt5)^2}{(4)^2 - (2\sqrt5)^2}[/tex] [tex][ \ (a - b)(a +b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{12 + 10 + 10\sqrt5}{16 - (4 \times 5)}\\\\=\frac{22 + 10\sqrt5}{16 - 20 }\\\\=\frac{22+ 10 \sqrt5 }{-4}[/tex]
[tex]= \frac{11}{-2} + \frac{5 \sqrt5}{-2}\\\\= -\frac{11}{2} + \frac{-5 }{2} \sqrt5\\\\[/tex]
[tex]a = - \frac{11}{2} , \ b = -\frac{5}{2}[/tex]
16
[tex]\frac{\sqrt7 + 1 }{\sqrt7 - 1} - \frac{\sqrt7 - 1}{\sqrt7 + 1}\\\\[/tex]
[tex]\frac{(\sqrt 7 + 1 )( \sqrt7 + 1)}{(\sqrt7 - 1 )(\sqrt7 + 1)} - \frac{(\sqrt7 - 1)(\sqrt 7 - 1)}{(\sqrt7 + 1)(\sqrt7 - 1)}[/tex] [tex][ \ LCM \ of \ denominators : (\sqrt7 -1)(\sqrt7 + 1) \ ][/tex]
[tex]\frac{(\sqrt 7 + 1 )^2 -( \sqrt7 - 1)^2}{(\sqrt7)^2 - 1^2}[/tex] [tex][ \ (a \pm b)(a \pm b) = (a \pm b)^2 \ (a-b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{(7 + 1 + 2\sqrt7) - ( 7 + 1 - 2\sqrt7)}{7 - 1}\\\\=\frac{8 + 2\sqrt7 - 8 + 2\sqrt7}{6}\\\\= \frac{4 \sqrt7}{6}\\\\= \frac{2 \sqrt 7}{3}[/tex]
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000
please i need help
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
PLEASE HELPPPPP
I WILL GIVE THE BRAINIEST THINGY
Answer:
The answer is the last one....
Step-by-step explanation:
Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...
if you do these problems in a class you are taught for sum/diff of cubes
the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...
"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite Always plus (that works) ....
bottom line here is that you answer needs cubes under the division, and the
end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer
someone help please, giving brainlist to anyone who answers <3
Answer:
65 seats
Step-by-step explanation:
1. Approach
To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).
2.Find the rate at which seats are added
One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,
(3, 31), (6, 37)
Where (x) is the row number and (y) is the number of seats.
To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute in the given information and solve for the rate of change,
[tex]\frac{37-31}{6-3}[/tex]
Simplify,
[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]
Seats are added at a rate of (2) seats per row.
3. Find the equation
The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,
[tex]y=mx+b[/tex]
Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,
[tex]y=2x+b[/tex]
One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,
[tex](31)=2(3)+b[/tex]
Simplify,
[tex]31 = 6+b[/tex]
Inverse operations,
[tex]31=6+b\\25=b[/tex]
Substitute this into the equation to complete the equation,
[tex]y=2x+25[/tex]
4.Find how many seats are in the row (20)
Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.
[tex]y=2x+25[/tex]
[tex]y=2(20)+25[/tex]
Simplify,
[tex]y=2(20)+25\\y=40+25\\y=65[/tex]
Complete the equation of the line through (-8,-2)(-4,6)
use exact numbers
Answer:
y = 2x + 14
Step-by-step explanation:
Hope this helps!!!
First, you have to find the slope by using
In other words,
The slope is 2.
Then you plug the rest into point-slope form (you can use either of the points, I used the first one)
Remember that m is the slope.
Distribute the slope to the parenthesis
Isolate the y variable
Answer:
2x+14
Step-by-step explanation:
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]
Step-by-step explanation:
i'm going to assume what you have looks like
[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]
Let's start by factoring everything
x²-9= (x+3)(x-3)
x²-16= (x+4)(x-4)
x²+5x+6=(x+3)(x+2)
x-4= x-4
which means what we have looks like
[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]
And I think that's as simplified as it can get
Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies
Answer:
5
Step-by-step explanation:
A school painted 1/2 of a wall with 3 colors.Each color takes up the same amunt of space on the wall.What fraction of the wall does each color occupy?
Answer:
1/6
Explanation:
This is because if you were to take up the entire wall with these same proportions, you would need six colors.
It took six people four days to build a wall.
a) Working at the same rate, how long would it have taken eight people to build the wall?
b) Working at the same rate, how many people would have been needed if the wall had
to be completed in two days?
Answer:
a=5 days, 3 hours
b= 3 people
Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2
Answer:
I'd say 897.27cm². That's the vlosest answer that I see.
After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? 1. Make a dot plot for comparing. 2. Find the five boundary values. 3. Write a title for the box plot. 4. Plot and connect the end points.
Answer:
2. Find the five boundary values
Step-by-step explanation:
When drawing a dot, the steps are;
i) The data set (the list of numbers to be presented in the dot plot) are arranged in increasing order from left to right, with thee lowest value on the left and the highest value located at the right of the list
ii) The five boundary values are listed as follows;
The Minimum and Maximum Values
1) The minimum value is the lowest number in the list, which is the first number from the left
2) The maximum value is the final number on the right of the list
3) The Median, Q₂
The median number is the number which divides the data arranged in increasing number, into two equal parts
The First Quartile and Third Quartile
The numbers are divided from the median, such that the Lower half is to the left of the Median, and the Upper half is to the right of median
4) The First Quartile, Q₁ = The median of the Lower half
5) The Third Quartile, Q₂ = The median of the Upper half
iii) The box plot is then drawn with the five boundary values found above
Write an equation of the line and interpret the slope:
Answer:
Equation = y=3x+12
Slope is 3
Step-by-step explanation: