Complete question :
Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.
Answer:
y = 850 + 100x
y = 850 + 1.08^x
Step-by-step explanation:
SCHOOL A:
Initial Number of students = 850
Increase per year = 100
SCHOOL B:
Initial Number of students = 850
Increase per year = 8%
Let the total number of students after x years = y
Hence,
SCHOOL A:
y = initial population + 100 * Number of years
y = 850 + 100x
SCHOOL B:
Using the growth rate relation
y = initial population + (1 + rate per year)^number of years
y = 850 + (1 + 0.08)^x
y = 850 + 1.08^x
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (4 points)
Coordinate grid with points labeled home, video store, fast snacks, and grocery store. Home is located at negative 3, 4, video store is at 4, 4, fast snacks is at negative 3, negative 3, and grocery store is at 4, negative 3.
Group of answer choices
14 units
21 units
28 units
35 units
4. A sum of money is divided among Khairul, Michael and Ethan in the ratio 6:4:5. After Khairul
gives $30 to Michael and $15 to Ethan, the ratio becomes 7: 6:7. Find the amount of money Khairul
had initially
Answer:
Step-by-step explanation:
Find the actual sum 1 3/4+ 1 5/8 to determine how much david grew in two years. Use the estimate to explain how you know your answer is reasonable.Show your work.
Answer:
S = 27/8
Step-by-step explanation:
We need to find the actual sum of [tex]1\dfrac{3}{4}+1\dfrac{5}{8}[/tex].
We need to find how much Devid grew in two years.
[tex]1\dfrac{3}{4}=\dfrac{7}{4}[/tex]
and
[tex]1\dfrac{5}{8}=\dfrac{13}{8}[/tex]
Sum means,
[tex]S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}[/tex]
Hence, the answer is 27/8.
how are the graphs of y=2x+1 and y=-2x+1 similar? how are they different?
We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.
Linear equations:
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here the two equations are:
y = 2*x + 1y = -2*x + 1So you can easily see that the two equations have the same y-intercept but opposite slopes.
So both of them pass through the point (0, 1) and both are lines, these are the similarities.
And the difference is that the slopes are just different.
If you want to learn more about linear equations you can read:
https://brainly.com/question/14323743
Help with both questions please
First one is -1. The second one is 1/2.
5 + 2x/ 3x - 1 = 6/7
Step-by-step explanation:
5-1+0.85= -0.666x
4.85/-0.666= -0.666/-0.666x
x= -5.6
Can you find the slope and type the correct code?
Answer:
C
A
H
F
Step-by-step explanation:
graph shows slope =2
2. slope is y2-y1 / x2-x1
(4-7)/(1-0)
-3
so A
3. slope is 28-18 / 4-2
10/2 = 5
so H
4. graph shows slope =1
please give thanks by clicking the heart :)
Alton is making a sandbox for his kids in the backyard. He has 400 feet of board for the sides of the sandbox. A. Define the function A(w) to represent the area of the sandbox as a function of the width. Explain your reasoning. B. Determine the maximum area of the sandbox as well as the length and width that will result in the maximum area. Explain your reasoning.
Answer:
The answer is below
Step-by-step explanation:
a) Let the width be represented as w and the length be represented as l.
The perimeter of the sand box = 2(l + w)
Since there is 400 feet of material for the sides of the sandbox, hence:
400 = 2(l + w)
200 = l + w
l = 200 - w
The area (A) is:
A = length * width
A = (200 - w) * w
A(w) = 200w - w²
b) The maximum area is at A'(w) = 0. Hence:
A'(w) = 200 - 2w
200 - 2w = 0
2w = 200
w = 100 feet.
l = 200 - w = 200 - 100
l = 100 feet.
Area = length * width = 100 * 100 = 10000 feet²
The maximum area of the sandbox is 10000 feet², with a length of 100 feet and width of 100 feet.
What is the slope for y=-7x+12
Answer:
-7
Step-by-step explanation:
Answer:
-7. the number with x is always the slope in this sort of equation. The 12 in this equation is the y-intercept
Step-by-step explanation:
Round 2.92538 to the nearest thousandths
Answer:
2.925
this is the answer
Answer:
2.93
Step-by-step explanation:
This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.
How much is nash459 worth
Answer:a lot
Step-by-step explanation:
Nash+459 = 100000000000000000
Hello There!! I need help in this question...Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3, 1), (6, 2), (9, 3) (2, 4), (4, 6), (7, 9) (1.5, 3), (3, 6), (4, 8) (3, 1), (4, 3), (8, 6) Plus, please make a explained to. And, do not guess to this...
Answer:
is this functions because if it is I can help
I need helpppp....:(
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!
Answeefefeefefeefefe
lanation:
anwer it on ur, own nah im just kidding bruh i gatchu
i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree
Evaluate the expression: 5x - 4y + 10 for x = 2, and y = -3
Step-by-step explanation:
5x - 4y + 10
= 5(2) - 4(-3) + 10
= 10 + 12 + 10
= 32.
which ordered pair is NOT a solution to the equation y=2x
Step-by-step explanation:
Point C with coordinates (3, 8) does not satisfy y = 2x as 8 is not equal to 2(3).
Hence the answer is C.
Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? PLZZZ I NEED THIS ASAP WITH THE EXPLANITION
Answer:
(57.1 miles per hour. )
7.8 hours
Step-by-step explanation:
15 3/8 + 7 5/6 =
Helppp what’s the. Answer
Answer:
Exact Form:
557/24
Decimal Form:
23.208¯3
Mixed Number Form:
23 5/24
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Determine the numbers of solutions for 18x – 12 = 3(6x – 12).
A) Infinite Solutions
B) One Solution
C) No Solutions
Find the measure of each angle.
What is numerical coefficient of this term?
-3z
If you took all of the DNA out of your body would it all fit on a plate? If not a plate what would it fit in? WILL GIVE BRAINLIEST
Hurryyyyy I’m giving brainliest
Solve for w.
16 = W/2
Answer:
W=32
Step-by-step explanation:
16x2=32
32/2=16
En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?
Answer:
Hay 50 latas en total que tocan el fondo de la caja.
Step-by-step explanation:
Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:
[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)
Donde:
[tex]n_{V}[/tex] - Total de latas de atún, adimensional.
[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.
[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.
[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.
De acuerdo con el enunciado, tenemos las siguientes relaciones:
[tex]n_{V} = 400[/tex] (2)
[tex]n_{l} = n_{w} +5[/tex] (3)
[tex]n_{h} = n_{w}+3[/tex] (4)
Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:
[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]
[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]
[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]
Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:
[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]
En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):
[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]
La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:
[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)
[tex]n_{A} = (5)\cdot (10)[/tex]
[tex]n_{A} = 50[/tex]
Hay 50 latas en total que tocan el fondo de la caja.
help me on number 4 you get brainliest
Step-by-step explanation:
The car travels 600 feet in 20 seconds
=> 30 feet per second
The moyorcycle travels 300 feet in 12 seconds
=> 25 feet per second
Since 30 > 25, the car travels faster than the motorcycle.
Answer:
The car
Step-by-step explanation:
It tralves 600 ft in 20 seconds as compared to the motercycle travling 600 ft in 24 seconds
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
To know more about Trapezoid
https://brainly.com/question/8643562
#SPJ2
Point A is the incenter of DEF.
What is the value of n?
A. 7
B. 11
C. 14
D. 15
Answer:
B.11
Step-by-step explanation:
It's 27 degrees so,
3 times 11 is 33 and 33 - 6 is 27
Answer: Answer is B- 11
Step-by-step explanation: got it right on edge
What equation in slope intercept form represents the line that passes through the two points? (5, 6), (9, –2)
Anwsers
A. Y=2x- 16
B. Y= -1/2x- 16
C. Y= 1/2x+ 16
D. Y= -2x+ 16
Uma downloaded 8 songs. The total cost of the songs was $15.92. Each song cost the same amount. What was the price of one song?
Answer:
1.99
Step-by-step explanation:
15.92 divided by 8 = 1.99
Hope this helps. :)
Also you can find this on a calculator.
Two brothers are 3 year apart in age. The sum of their ages is 35.How old is the younger brother?
Answer:
The younger brother is 16 years old.
Step-by-step explanation:
The younger brother is aged x.
It follows that the older brother is aged x+3.
x + (x+3) = 35
2x + 3 = 35
2x = 32
x = 16
Answer:
they are 16 and 19
the younger bro is 16
Step-by-step explanation:
if you add 16 and 19 you get 35
Hope this helps!! Pls mark me brainliest!!