Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
how to find inflection points from first derivative
Answer:
For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).
What is the distance between the points (-4, 6) and (1, -6)?
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.
[tex]-6-6=-12[/tex]
Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.
[tex]1--4=5[/tex]
Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:
[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]
The distance between these 2 points is 13.
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.
The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.
Sebastian can make more cherry trail mixReasons:
The given recipe are;
1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.
1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds
The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;
[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]
The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes
[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]
[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]
The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix
Therefore;
Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.
Learn more about division of numbers in arithmetic here:
https://brainly.com/question/917110
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
Learn more:https://brainly.com/question/15013012?referrer=searchResults
Percent of speed the machine increase is 20%
Where is 0.5 on the graph? I have to do ( 0.5, 4)
Answer:
It would be between the 0 and the 1 on the horizontal line
0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there
1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4
it's polynomial ✨✨✨✨✨✨✨
Answer: polynomial
Step-by-step explanation: I'm not that great at math tell me if this is correct.
7. One serving of Ms. Scott's tomato soup is 0.75 cup. How many servings are in the 72-cup pot? 104.2. servings 10.42 servings 96 servings O 9.6 servings
Answer:
96 Servings
Step-by-step explanation:
Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings
Answer:
96 servings
Step-by-step explanation:
Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.
[tex]\frac{72}{0.75} = 96[/tex]
(1, 5), (2, 7), (3, 10), (4, 12) solve for domain
D={5, 7, 10, 12}
D={1, 2, 3, 4}
D={1, 5, 2, 7}
Cannot be determined
All the numbers round to 7 except
6.61
7.89
6.58
7.37
What is the equation 5x+6y=18 equal
Answer:
y = -5/6x + 3
Step-by-step explanation:
what is the answer
simplify 2(5x+3)-2(2x-3)
Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
Answer:
x+2
Step-by-step explanation
2 x 5x =10x 2 x 3=6 -2 x 2x = -4x -2 x -3=6
10x-4x + 6+6
6x+12
simplified: x +2
((7,4),(6,3),(5,2)
Function?
Domain:
Range:
Answer:
see explanation
Step-by-step explanation:
For a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so it is a function.
The domain is the x- coordinates of the points
domain is { 5, 6, 7 }
The range is the y- coordinates of the points
range is { 2, 3, 4 }
Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.
The description of the intersection of plane A and plane B is line CD
From the question (see attachment for the diagram of both planes), we have the following highlights
Point C is on plane A and plane BPoint D is on plane A and plane BBoth planes meet at the line that joins points C and D.
Hence, the description of the intersection of plane A and plane B is line CD
Read more about planes and lines at:
https://brainly.com/question/13099718
Answer:
The first answer, CD, is correct.
Edg, 2023
Can someone help and explain please!
Answer:
19.56
Step-by-step explanation:
Discount 25% of $24.60 is :
(25/100) x 24.6 = 6.15
$24.60 - 6.15 = $18.45
Tax 4.5% of $24.60 is :
(4.5/100) x 24.6 = 1.107 approx. 1.11
Amount to be paid = $18.45 + $1.11 = $19.56
Calculate the distance between the points M=(-1, -2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
nearest hundredth 8.944
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.944
answer for this question plz
Step-by-step explanation:
in that case we can imagine a diagonal line DB that splits the quadrilateral into 2 right-angled triangles: ADB and CDB.
the area of the quadrilateral is then the sum of the areas of the 2 triangles.
the area of a right-angled triangle is
leg1 × leg2 / 2
with the legs being the sides that enclose the 90 degree angle.
so, for ADB we get
AD × AB / 2 = 3 × 11 / 2 = 33/2 = 16.5
for CDB we get
BC × CD / 2 = 7 × 9 / 2 = 63/2 = 31.5
so, in total for the area of the quadrilateral we get
16.5 + 31.5 = 48
what is i to the power of 5
Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.
Answer:
i
Step-by-step explanation:
i^5=(i)(i)(i)(i)(i)
Since i^2=(i)(j)=-1,
it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.
Thus i^4*i=i^5=1*i=i.
Therefore, i^5=i.
10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?
Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.
Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?La regla de três es:
10 obreros - 336 días
15 obreros - x días
Aplicando multiplicación en línea:
[tex]15x = 336(10)[/tex]
[tex]x = \frac{336(10)}{15}[/tex]
[tex]x = 24[/tex]
15 obreros hacerían el mismo complejo en 24 días.
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
1+1=3 proof
needs step by step explanation
Answer:
1+1=3, See explenation
Step-by-step explanation:
1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3
-4.67 + (5.24 –
) – (
+ 7.98) = 13.26
Answer:
6
Step-by-step explanation:
The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.
The solution of the equation can be determined by substituting the points in the equation and solving it.
The solution of the given equation would be interpreted by solving the equation for the value of x and y.
The solution of the equation is (400, 3200) and it can be determined by using substitution method.
Given that,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
The solution of the system is (400, 3,200).
We have to determine,How would you interpret this solution?
According to the question,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
On solving both the equation,Substitute y = 8x in the equation 2,
[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]
The value of x is not -800 because the cost can not be negative.
Then the value of x is 400.
Substitute the value of x in equation 1,
[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]
Hence, The solution of the equation is (400, 3200).
For more details about System of Equation refer to the link given below.
https://brainly.com/question/281027
I giv Brainliest
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
The best answer is option C.
Step-by-step explanation:
Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...
Shirt Circuit Graphic Tees has fixed expenses of $25,560 for the production of their
t-shirts. They have a variable expense of $4.50 for each t-shirt that they
produce, and they sell their t-shirts for $22.50 each.
How many t-shirts does Shirt Circuit Graphic Tees have to sell to reach their
breakeven point?
Answer:
Step-by-step explanation:
Cost price = fixed expenses + variable expenses× number of products (x)
Selling price = total cost price + profit
At break even point,
Profit = 0
Therefore, total selling price = total cost price
X(22.50)= 25560 + x(4.50)
(22.50 - 4.50)x = 25560
18x= 25560
X = 1420
PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?
3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2
Answer:
2. "a number is greater than 17.2"
Step-by-step explanation:
m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
Some nuts cost $22/kg. How much would 150 g cost?
Answer:
$3.30
Step-by-step explanation:
1 kg = 1000 g
therefore, 150 g = 0.15 kg
multiply the cost by the amount
22 x 0.15 = 3.3, or $3.30
Victoria is 30 years old. She has $700 in a checking account, $9000 in a savings account $16,000 in a retirement account, and owns a car worth $6000. What is the total value of her liquid assets?
A. $31,700
B. $9700
C. $15,700
D. $16,000
Answer:
B
Step-by-step explanation:
Please mark as brainliest
Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)
4x^2 + 2x - 4
Hope this helps
Tyson is 6 feet 2 inches tall. There are 2. 54 centimeters in 1 inch. What is Tyson's height in centimeters?.
Answer:
187.96cm
Step-by-step explanation:
first convert 6 feet to cm=182.88
then convert 2 inches to cm=5.08
add your answers together=187.96