The ratio 4:7 means for every 4 men there are 7 women.
Divide total number of men by 4:
487/4 = 121.75
Multiply that by 7:
121.75*7 = 852.25 Round to the nearest whole number.
There is approximately 852 women.
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
What is the image of the point (-5,2) under a translation of a shift right three and down 4?
A. (-2,-2)
B. (-8,6)
C. (-9,5)
D. (-15,-8)
Answer:
A- (-2,-2)
Step-by-step explanation:
If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).
Hope this helped.
What is the value of x rounded to the nearest hundredth?
Question 4 options:
67
94
73
59
Answer:
73 could be wrong
Step-by-step explanation:
55x55+48x48=5329
✓5329
73
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
calculate the size of angle AEF
Answer:
Accuate Angel 230 digre
Answer:
90 degrees
Step-by-step explanation:
The sum of the measures of interior angles in a quadrilateral is 360 degrees. A quadrilateral is any shape that has 4 sides. ABCD is a square, and squares have 4 sides, so the sum of the angles inside of the square will be equal to 360. A square has 4 angles, each with equal measure, so to find the measure of one angle, divide 360 by 4: 360/4=90. Each angle in a square measures 90 degrees.Triangle DEF is an equilateral. This means that each side is equal, but it also means that each angle will be equal too. The sum of the measure of interior angles in a triangle is 180 degrees, and a triangle has 3 angles, therefore you can find the measure of each angle in an equilateral by dividing 180 by 3: 180/3=60. Each angle in an equilateral triangle measures 60 degrees.The measure of a straight line is always 180 degrees. CDF is a straight line, and it is made up of 3 angles:-Angle CDA
-Angle ADE
-Angle EDF
Since the measure of CDF has to be 180 degrees, the measures of angles CDA, ADE, and EDF must add up to 180.Angle CDA is an angle of a square, so it is equal to 90 degreesAngle EDF is an angle of an equilateral triangle, so it is equal to 60 degrees.The angles must add up to 180, so 90+60+ADE=180You can subtract 90 and 60 from 180 to find the measure of ADE: 180-90-60=30The question tells us that triangle ADE is isosceles. There is a theorem called base angles theorem, and it states that if two sides of a triangle are equal in length, then the two angles opposite from them will be equal in measure. Using this theorem, we can find that the measure of angle ADE is equal to the measure of AED. We already found out that ADE is 30 degrees, so AED is also 30 degrees. But the angle we are looking for is AEF:AEF is made up of angles AED and DEF, so the measures of angles AED+DEF=AEF. DEF is part of the equilateral triangle, so we know it is 60 degrees. We already found that AED is 30 degrees, so add 30 and 60 degrees: 30+60=90. AEF is 90 degrees.Which expression is equivalent to Cube root of 216 x cubed y Superscript 6 Baseline z Superscript 12?
6xy2z4
18xy3z6
36xy2z4
72xy3z6
Answer:
6xy²z^4
Step-by-step explanation:
[tex]\sqrt[3]{216x^3y^6z^12}[/tex] = ∛(6³)(x³)(y³)(y³)(z³)(z³)(z³)(z³) = 6x·y·y·z·z·z·z = 6xy²z^4
Answer:
A.6xy²z^4Step-by-step explanation:
I took the test and the person that is/was above me said the something but I just put the letter for faster response.
Can someone help?????
Hola plz answer
Give points n thanks
Answer:
460 pounds.
Step-by-step explanation:
5% of 2,300 is 115. Since it is in there for four years, you multiply 115 by 4 to get 460.
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
Answer:
See answers below
Step-by-step explanation:
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
a) Note that 1000g = 1kg
8250g = x
1000 * x = 8250
1000x = 8250
x = 8250/1000
x = 8.25kg
b) 10 3/4 l to ml
1l = 0.001ml
10 3/4 l = x
Cross multiply
1 * x = 10 3/4 * 0.001
x = 43/4 * 0.001
x = 0.043/4
x = 0.01075ml
c) 6m 5cm to cm
Since 1m = 100cm
6m 5cm
= 6(100) + 5
= 600 + 5
= 605cm
d) 600km 50m to m
1000m = 1km
x = 9km
x = 9000m
600kn 50m
= 9000m + 50m
= 9050m
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
Need help will give brainlest please this practice test makes no sense need explanation
Answer:
D
Step-by-step explanation:
Well, I can tell the answer just by looking:
- The shape moved counterclockwise by one quadrant
- The shape got SMALLER
- Rotations go counterclockwise. So that's a 90 degree rotation.
- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2
[tex]3(6 + 7) [/tex]
Answer:
39
Step-by-step explanation:
3(6+7)
=18+21
=39
or
3(6+7)
=3(13)
=39
6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given
[tex]-x + 1 = -4[/tex]
[tex]-x = -5[/tex]
Required
State which property is used
The word that describes the operation is; subtraction property of equality.
This property states that:
if [tex]x = y[/tex] then
[tex]x - a = y - a[/tex]
So, for the given equation:
[tex]-x + 1 = -4[/tex]
When the subtraction property of equality is applied
[tex]-x + 1 - 1 = -4 - 1[/tex]
[tex]-x = -5[/tex]
So:
(a) Subtraction Property of Equality is correct
Which of the following expressions are equivalent to -4/7 - 8/9 + 4/7 + 9/8?
Answer:
C and D
Step-by-step explanation:
I'm too braindead to explain this, read comments
Answer:
-2 1/72
Step-by-step explanation:
Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.
Hope this helps!
I need help pls and thank you
Solving this system using substitution: 2x+6y=28/y=-5x
Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. What is his horizontal distance to the cornfield?
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
~
Marking brainliest!
In your own words, why does erosion mean?
Answer:
the process of being eroded by natural agents such as wind, water, ice, etc.
this process moves sediment or material from one place to another
Step-by-step explanation:
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
Answer:
157.08
Step-by-step explanation:
Hello There!
The first step in solving this problem is to find the formula for volume of a cylinder
To find the volume of a cylinder we use this formula
[tex]V=\pi r^2h[/tex]
Where r = radius and h = hypotenuse
we are given the height and the diameter
To convert the diameter to radius we divide the diameter by 2
5/2=2.5
so the radius is 2.5
now we plug in the values
[tex]V=\pi 2.5^28\\2.5^2=6.25\\6.25\pi =19.63495408\\19.63495408*8=157.0796327[/tex]
So the volume of the cylinder is 157.0796327
now we just round to the nearest hundredth and get that the volume of the cylinder is 157.08
2. Lena can finish 2 math homework problems in 15 minutes. At this rate, how many problems can she finish in 75 minutes? Use the rate table below to find the answer.
10.
Because the ratio is how many problems:How much time so it is 2:15
Multiply each side by 5 10:75
So that means 10 problems in 75 minuets.
HOPE THIS HELPED!!!
Answer:
10
Step-by-step explanation:
Set up the following proportion.
2 questions /15 minutes = x questions / 75 minutes.
Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.
Mulltiply both sides by 75
2 * 75 / 15 = x
2 * 5 = x
x = 10
She would be able to solve 10 problems in 75 minutes.
HELP ME PLEASE FOR THE SAKE OF GOD LOL
Answer:
Cells we are made of Stem cells
Red blood cells
White blood cells
Step-by-step explanation:
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
what is the area of this triangle?
Answer:
A = 21 sq units
Step-by-step explanation:
base = 6 units
height = 7 units
A = 1/2(6)(7) = 42/2 or 21
help :c!!!!!!!!!!!!!!!!!
Answer:
-4
Step-by-step explanation:
Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D
Brenda likes to swim when she is at her cottage. She swam 12 m north from her dock, and then 60 m east. How far will she have to swim if she wants to go directly back to the dock?
Answer:
72 m
Step-by-step explanation:
If Brenda is going 12m north and 60m east, that's a total of 72m because 12+60 = 72, so if Brenda wants to come directly back to the dock she will just have to follow her footsteps back 72m.
The length of a rectangle is 2x inches. The width is x + 4 inches. Find the value of the x if the perimeter
of the rectangle is 50 inches.
full Remember that nerimeter is the sum of sides or distance around)
Help ASAP pleaseeee
Answer:
17/6
Step-by-step explanation:
We know that,
perimeter of rectangle=2(l+b)
or,50=2(2x+x+4)
or,50=2(3x+4)
or,25=6x+8
or,17=6x
•x=17/6