Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
simplify
√45 + √80 − 3√20
√45+√80−6√5
Step-by-step explanation:
Exact Form:
√45+√80−6√5
Decimal Form:
7.29108201…7.29108201…
17 gallons = ? liters
Answer:
64.345
Step-by-step explanation:
1 gal=3.785
multiply 3.785 x 17
PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12
Answer:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
All statements of equality below are correct.
A.True
B.False
it's all on the picture
Answer:
i believe its 24+12
Step-by-step explanation:
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Answer:
(0, - 1) maximum
Step-by-step explanation:
The vertex is the turning point of the graph.
That is vertex = (0, - 1 )
Since the graph opens down then it is a maximum
Q. factorize by regrouping the expression
xy-2x+3y-6
Answer:
xy-2x+3y-6
(xy-2x) (3y-6)
x(y-2) 3(y-2)
(x+3) (y-2)
hope this answer helps you.....
Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55
Answer:
16
Step-by-step explanation:
because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16
71-(27+28)
Answer:
Grace sold 16 tickets.
Step-by-step explanation:
We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.
If correct I’ll give brainlist
Answer:
should look like this a bit
Step-by-step explanation:
heres another pov
Use a number line to add and subtract.
+7 + (-3)=
Answer:
4
Step-by-step explanation:
You have positive number and it is bigger that negative so your result will be positive too:
7-3=4
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =
Answer:
The system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
Step-by-step explanation:
Let
x represent the number of polyester-fill bags sold
y represent the number of down-fill bags sold.
In one week the store sold 17 sleeping bags
x + y = 17 ...... Equation 1
x = 17 - y
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.
Hence:
$76 × x + $141 × y = $1460
76x + 141y = 1460....... Equation 2
Therefore, the system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by the information in the table?
A)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is more than $300.
B)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is less than $300.
C)The fee at Starlight Bank will always be more than fee at Lakeshore Bank.
D)The fee at Starlight Bank will always be less than the fee at Lakeshore Bank. Bank Monthly fee Starlight
Starlight: 1% of checking account balance
Lakeshore: $3
a is the answer i took the test
PLEASE HELP I WILL MARK BRAINLIEST
The graph of the function B is shown below. find B(1).
Answer:
B(1) = 2
Step-by-step explanation:
Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.
Help me pleaseeeeeeeeeee
Answer:
I'm pretty sure it's a
Step-by-step explanation:
step by step
If anyone wants to help that would be awesome 40 points for the the 2 people who answer and brainlest for the person who s correct. Thank You!
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn? 1)Approximately 68%
2) Approximately 75%
3)Approximately 95%
4)99.7%
Answer:
Your answer is approxamantly 68%
Step-by-step explanation:
I don’t like to beg but I guess I’m in need..
Answer:
-4 < n ≤ 5
Step-by-step explanation:
Since the left inequality is an open circle and going to the right, the sign will be >
Since the right inequality sign is a closed circle and is going left, the sign would be ≤
The open circle ends at -4 so, n > -4
The closed circle ends at 5 so, n ≤ 5
You combine them and it looks like this:
-4 < n ≤ 5
What is the equivalent for 4/6
Answer:
2/3
Step-by-step explanation:
please mark this answer as brainliest
Answer:
[tex] \frac{4}{6} \\ = \frac{2}{3} \\ = 0.66[/tex]
I need help with this
Answer:
y=3/4x +7
Step-by-step explanation:
The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.
To find b, we can plug in the x,y, and given slope.
[tex]4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7[/tex]
so now we can write b and m in the original equation.
which gives us, y =3/4x +7
If I girl lost her Vcard at the age of 13, does that make her a bad person or no?
Which product is modeled by the number line below?
2
3
4
5
B
7
8
(-3)(4)
(-2)(4)
(2)(4)
(3)(4)
Answer:
(-2)(4)
Step-by-step explanation:
(-2)(4) because we made four ”steps” of the lenght of two on the left
Find the midpoint of the segment with the following endpoints.
(10,1) and (3,-6)
Answer:
(13/2,-5/2)
Step-by-step explanation:
I hope this helps
Solve for x and show work.
Answer:
x = 2
Step-by-step explanation:
The four sides of a rhombus are equal. Thus, 10x + 6 = 4x + 18.
Solve this equation for x:
6x = 12
So, finally, x = 2
Classify the triangle based on its angles
Answer:
The triangle is scalene triangle because its all sides are different
So, you can go with it and
Request :- if you are helped with my answer pls tag me brianliest I really want it.......
THANK YOU.. Plzz see to my request
A toy store was selling stuffed animals for $7.00 each. The stuffed animals go on sale and are now sold for $2.50 each. What is the markdown?
Help asap plz!!! 30 points
A human's eyeball is shaped like a sphere with a diameter of 2.5 cm. A
dog's eyeball is shaped like a sphere with a diameter of 1.75 cm. About
how many times greater is the volume of a human's eyeball than the
volume of a dog's eyeball?
Answer:
I think it is 1.5
Step-by-step explanation:
I'm not that sure sorry :(
Volume of human eyeball is 3 times more than volume of dog's eye .
Given,
Human eyeball diameter = 2.5 cm
Dog eyeball diameter = 1.75 cm
Now,
Firstly calculate the volume of humans eye,
Volume of sphere = 4/3 πr³
r = radius of eyeball
r = d/2
r = 2.5/2
r = 1.25 cm
Volume = 2.60π cm³
Now calculate the volume of dogs eye,
V = 4/3 πr³
r = d/2
r = 1.75/2
r = 0.875 cm
V = 0.893π
Thus from the calculation volume of human eye is more by approximately 3 times .
Know more about volume of sphere,
https://brainly.com/question/21623450
#SPJ4
Chip’s favourite snack food is Dingles potato chips. He enjoys layering 3 chips together to make a stack of interesting flavours. If he only has Regular flavoured Dingles, there is only one way to stack the three chips. That is Regular, Regular and Regular which can be written as rrr. The order in which the chips are layered does not matter. For example, if we have Regular and BBQ Dingles then the stack BBQ, BBQ and Regular (bbr) is the same as BBQ, Regular and BBQ (brb).
a) If he has Regular and BBQ flavoured Dingles, list all the different stacks of 3 chips he can make.
b) If he has three flavours of chips, Regular, BBQ, and Vinegar, list all the different stacks of 3 chips he can make.
c) If he adds a fourth flavour, Ketchup, list all the different stacks of 3 chips he can make.
Answer:
I'm sorry I don't understand this
Step-by-step explanation:
20 points for correct answer and a brainliest for first correct answer!
Answer:
D
Step-by-step explanation:
Find the mean, median, and mode for the following data set.
3, 8, 10, 14, 14, 17
Answer:
Mean = 11
Median = 12
Mode = 14
Step-by-step explanation:
I hope this helped!
Please Help! Trigonometry Problem:
find the solution in 0< x < 2π
cos 2x = 2sinx
Answer:
[tex]\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}[/tex]
Or their approximations:
[tex]x\approx \left\{0.375, 2.767\right\}[/tex]
Step-by-step explanation:
We are given:
[tex]\cos(2x)=2\sin(x)[/tex]
And we want to find the solution in [0, 2π).
Recall the double-angle identities for cosine:
[tex]\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
We will use the third version. Hence:
[tex]1-2\sin^2(x)=2\sin(x)[/tex]
Move all terms to one side:
[tex]-2\sin^2(x)-2\sin(x)+1=0[/tex]
This is now in quadratic form. For simplicity, let u = sin(x):
[tex]-2u^2-2u+1=0[/tex]
Solve for u. Simplify:
[tex]2u^2+2u-1=0[/tex]
By the quadratic formula:
[tex]\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}[/tex]
Evaluate:
[tex]\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366[/tex]
Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)
Back-substitute:
[tex]\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}[/tex]
Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:
[tex]\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375[/tex]
Using reference angles, the other solution is:
[tex]\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767[/tex]