Answer:
2,802 boys and 3,693 girls went to Disneyland this weekend
Step-by-step explanation:
System of Equations
Let's call:
b = Number of boys who went to Disneyland this weekend.
g = Number of girls who went to Disneyland this weekend.
The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:
[tex]b+g=6,405\qquad\qquad [1][/tex]
The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:
[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]
To eliminate denominators, multiply [2] by 9g:
[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]
Simplify:
[tex]9b=7g\qquad\qquad [3][/tex]
From [1]:
[tex]b=6,405-g[/tex]
Substituting into [3]
[tex]9(6,405-g)=7g[/tex]
Operating:
[tex]57,645-9g=7g[/tex]
Simplify:
[tex]16g=57,645[/tex]
Solve:
[tex]g=57,645 / 16 \approx 3,603[/tex]
Take the approximate value:
g=3,603
Find b:
[tex]b=6,405-3,603=2,802[/tex]
2,802 boys and 3,693 girls went to Disneyland this weekend
Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.
what's the value of X?
Answer: X is 107.5
Step-by-step explanation:
Answer:
107.5
Step-by-step explanation:
Multiply 10.75 by 10 to get the value of x.
Hope this helps!
Solve the following step by step
Answer:
12
by-step explanation:
HELP URGENT !!!!!!!!!!!
Dustin surveyed 50 students at his school about their music preferences. The results are in the table.
Music Preference Survey
Type of Music
Hip-Hop- 18
Country- 13
Rock- 11
Other- 8
There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?
A. 180 students
B. 240 students
C. 260 students
D. 405 students
Answer:
240
Step-by-step explanation:
260 students prefer hip-hop music.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
According to Dustin Survey Hip hop music liked by 18 out of 50
In percentage we can write
x% of 50= 18
50x /100 = 18
x/2 = 18
x= 36%
So, Out of 722 students number of students who prefer hip-hop music
= 36% of 722
= 36/100 x 722
= 260
Hence, 260 students prefer hip-hop music.
Learn more about percentage here:
https://brainly.com/question/29306119
#SPJ6
can y’all please answer this
Answer: 35 , 14
Step-by-step explanation:
[3(-2)^2-4 ]+[8 (3)-3] [8(3)-3] -[ 3(-1)^2-4]
35 14
Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?
Answer:
42.5
Step-by-step explanation:
Point for correct score = [tex]\frac{11}{2}[/tex] = 5.5
Point for incorrect score = [tex]\frac{1}{2}[/tex] = 0.5
Unknown:
Final score = ?
Solution:
Number of correct score = 8
Points gained = 8 x 5.5 = 44
Number of incorrect score = 3
Points lost = 3 x 0.5 = 1.5
His final score = 44 - 1.5 = 42.5
The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second
Answer:
Divide 9944 by 12 feet per second
828.666 or 828.7
Step-by-step explanation:
9514 1404 393
Answer:
829 ft/s
Step-by-step explanation:
Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.
[tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]
line m passes through point (-2,-1) and is perpindicular
What is the slope of the line graphed below?
30x + 40y =
what is the answer please help me
Answer:
10(3x + 4y)
Step-by-step explanation:
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answer:
-2,-3
Step-by-step explanation:
find m ABC (2x) (5x+5)
Answer:
=130
Step-by-step explanation:
(2x) (5x+5) = 180
7x + 5 = 180
7x = 175
x = 25
5(25) + 5 = 125 + 5 = 130
Hope this helps (:
The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.
Answer:
An increase of $0.94
Step-by-step explanation:
Please help (click picture)
Answer:check photo
Step-by-step explanation:
Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.
Answer:
A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelleStep-by-step explanation:
Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.
Option B is untrue because 15 macaroni noodles and 21 rotelle pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.
Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.
Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.
Option E is true as this combination of macaroni noodles and rotelle below the maximum.
Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation
Answer:1.7 x 10 ^ -5
Step-by-step explanation:
Answer:1.7 x 10-5
hope this helps
So Can anyone help me with this
The grandpapa car traffic function is shown check although following statements are true of the function
2x=(-x)+6 answer and I’ll give brainiest
Answer:
x = 2
Step-by-step explanation:
[tex]2x=-x+6[/tex]
[tex]2x+x=6[/tex]
[tex]3x=6[/tex]
[tex]\frac{3x}{3} =\frac{6}{3}[/tex]
[tex]x=2[/tex]
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
Learn more about of Demand Function: https://brainly.com/question/25938253
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.
Answer:
4x4=shaggy
Step-by-step explanation:
y = x²+1 at x=1 what’s the solution?
20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *
Answer:
3
Step-by-step explanation:
he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones
A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?
A) 4
B) 5
C) 6
D) 7
Answer:
the answer it 5 also my proff is on Google
What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.
Answer:
-1
Step-by-step explanation:
Solve for y into y=mx+b
2x-2y=20
-2y=-2x+20
y=(-2x+20)/-2
y=x-10
the slope is m, so it’s 1
A line perpendicular to that would be -1
The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?
Subtract the new value from original value to find the difference:
35 - 28 = 7
Divide the difference by the original amount and multiply by 100:
7/35 = 0.2 x 100 = 20%
The decrease was 20%
Answer:
20%
Step-by-step explanation:
First, subtract the new value from the original value to find the difference between the two.
35 - 28 = 7
Next, divide the difference by the original amount.
7 / 35 = 0.2
Then, multiply by 100.
.2 x 100 = 20%
We now know that the decrease was 20%
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
488 points for defeating 61 enemies
Divide 488 by 61 to find the unit rate.
488/61 = 8
You get 8 points for defeating each enemy.
Hope this helps
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96