Answer:
230
Step-by-step explanation:
multiply 12 by 15 and add it onto the 50 to get your answer!
Have a good day!
David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What equation should David use to help him maximize the area?
A. f(x)=x(400-2x)
B. f(x)=x(400+2x)
C. f(x)=2x(400-x)
D. f(x)=2x(400+x)
Answer: f(x)=x(400-2x)
The equation for the area in terms of x gives the function David should
use to maximize the area.
Response:
The equation that David should use to help him maximize the area is option A.
A. f(x) = x·(400 - 2·x)How can the function for the area be obtained?The given parameter are;
Length of fencing David has = 400 yards
Area to be enclosed = Rectangular area with pre-existing fence (on one side)
Required:
The equation David should use to maximize the area.
Solution:
Let x represent the width of the area (the sides perpendicular to the pre-
existing fence), and let y represent the length of pre-existing fence
We have;
Length of fencing available = Opposite side to pre-existing fence + 2 × Width of the area
Opposite side to pre-existing fence = Length of pre-existing fence
Which gives;
Length of fencing available = Length of pre-existing fence + 2 × Width of the area
400 = y + 2·x
y = 400 - 2·x
Area = Length × Width
Which gives;
Area = y × x
Area as a function of x is therefore;
Area, f(x)= (400 - 2·x) × x
Which gives;
f(x) = x·(400 - 2·x)The correct option is therefore;
A. f(x) = x·(400 - 2·x)Learn more about writing equations here:
https://brainly.com/question/1461621
Can anyone help me find the missing coefficient?
2n + (7n + 8) = n + 8
Answer:
Step-by-step explanation:
2n + 7n + 8 = n + 8
9n + 8 = n + 8
9n = n
n = 0
Answer:
n = 0
Step-by-step explanation:
2n + (7n + 8) = n + 8
2n + 7n + 8 = n + 8
9n + 8 = n + 8
9n -n = 8 - 8
8n = 0
n = 0
PLS ANSWER AS SOON AS POSSIBLE
Answer:
[tex]3(7b - c)( {c}^{2} + 2)[/tex]
My solved. is on the picture hope it helps brainliest if correct.
please help with step by step
Answer:
Alright breakdown
Step-by-step explanation:
#7. Constant of Proportionality.
divide the 276 by the 184: 276 / 184
which will give you an answer: 1.5
now, multiply 208 by 1.5: 312
Answer: YES
#8 same context, 300 / 425: 0.70
680 x 0.70 : 476
Answer NO
Which function is graphed below?
Answer:
C. f(x)=sin(x)
Step-by-step explanation:
Graphed each equation on desmos to see which one matched your image.
Good luck with your work, edge is the worst xD
Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.
How many Golden Delicious apples did Mary buy?
Answer:
Mary bought 9 Golden Delicious apples
Step-by-step explanation:
This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.
[tex].75d+1.25g=21.00\\d+g=22[/tex]
I prefer to solve using substitution, but elimination can be used as well
[tex].75d+1.25g=21.00\\g=22-d[/tex]
We can now plug in this g value to the first equation
[tex].75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13[/tex]
This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.
22 - 13 = g
9 = g
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`
Let me know if you have any questions! Spread the love.
Please help!!
-5x+6y=12
y=5/6x+2
Answer:
this is the first answer
Step-by-step explanation:
hope this helps
HELP i don’t know what the slope is or how to do this!!!
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
please like
Answer:
undefined
Step-by-step explanation:
Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.
m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)
It does not matter which points you call point 1 and point 2.
__
For the points given on the graph we can compute the slope to be ...
m = (2 -(-3))/(-1 -(-1)) = 5/0
The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."
If A= (-4 -1 -9) (-9 6 9) (-1 -1 3) and B= (-10 -7 -5) (9 -7 -1) (9 -4 2), find 6A - 8B
estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit
1
A coffee pot holds 3 quarts of coffee. How much is this in cups?
4
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
12 cups
Step-by-step explanation:
You multiply the the quarts amount by 4
Graph the parabola.
y=3x²-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.
Answer:
Vertex: (0, -4)
Graph: I can't share a link so you can go to desmos and paste your equation
Step-by-step explanation:
the vertex is where the axis of symmetry meets with the parabola.
The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value
therefore,
y=3(0)^2-4
=-4
so the vertex is (0, -4)
to find the other points, list two x values larger than 0 and substitute into the equation to find y
list two x values smaller than 0 and substitute to find the points on the left of the vertex.
An isosceles triangle has an angle that measures 54°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answer:
54 degrees
54 degrees
72 degrees
or
54 degrees
63 degrees
63 degrees
an isosceles triangle has 2 equal angles, and the angles of a triangle always add up to 180 degrees
How much sugar syrup what you get by making the following concentration 10% sugar syrup is it 80 g of sugar
Solve
Answer:
800g
Step-by-step explanation:
10% of x = 80 g
x = 80 x 10
x = 800g
Ned paid a sale price of $44 for two concert
tickets. If he wants to make a 75% profit on the
tickets, how much will he need to raise the price
of the tickets by? What will be the new selling
price for the tickets?
Answer:
$33
Step-by-step explanation:
75% profit = 44 x 75% = $33
So, he will need to raise it by $33 to make a 75% profit
New price : #77
Check : If he sell it for $77, he makes a $33 profit, which is 75% of $44.
PLS HELP
answer this quick questions please!!
1. c - (-3) = 15
2. (-7) + b = (-11)
3. d x (-4) = 32
Answer:
12, -4, -8
Step-by-step explanation:
1) c=12
c+3=15 subtract 3 from each side. c=12
2) b= -4
-7+b=-11 add 7 to each side. b = -4
3) d= -8
-4d=32 divide each side by negative 4. d = -8
Frank is on the swim team. Each week he swims a total of 6,000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer
Answer:
6 km
Step-by-step explanation:
1 meter = 1/1000 km
(1 meter = 1/1000 km) x 1000
1000 meters = 1 km
6000 meters = ?
1 x 6000m = 1000 x ?
6000 = 1000 x 6
6000/1000 = 1000 x 6/1000
6 = 6
Both sides divided by 1000 are 6, so the answer is 6 km.
225° transformarlos a radianes
Step-by-step explanation:
[tex]225 \times \frac{\pi}{180} = 3.927 \: radianes[/tex]
help please find the midpoint
i need help to solve 4x^2-400=0
Answer:
x = 10
Step-by-step explanation:
Isolate the variable and get x by itself
4x^2 -400 = 0 add 400 to both sides
4x^2 = 400 divide both sides by 4
x^2 = 100. take the square root of both sides
x = 10
2. Which of the following expressions is equal to (2g)^3
Answer:
8g³
Step-by-step explanation:
(2g)³ = 2³·g³
answer 7 and 10 only
7.
We are given:
abcissa(x-coordinate) of given point: -6
let's say the ordinate(y-coordinate) of the given point is y
distance of the given point from (1,3) = √74
we can rewrite the given information as:
the distance between the points (-6,y) and (1,3) is √74
finding y:
we know that in order to find the distance between any two points, we use the distance formula, which goes as follows:
distance = [tex]\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]
from the data we are given, let's say that:
(x₁, y₁) = (-6, y)
(x₂, y₂) = (1, 3)
(you can use them interchangably, there is no restriction on which point gets to be labelled as 1)
plugging this in the distance formula, we get:
distance = [tex]\sqrt{(-6-1)^2 + (y - 3)^2}[/tex]
we are also given that the distance is √74,
√74 = [tex]\sqrt{(-7)^2 + (y - 3)^2}[/tex]
squaring both sides to get rid of the square root
74 = (-7)² + (y - 3)²
74 = 49 + y² + (3)² -2(y)(3) (using the "square of sum" identity)
74 = 49 + y² + 9 - 6y
74 = 58 + y² - 6y
y² - 6y + 58 - 74 = 0 (subtracting 74 from both sides)
y² - 6y - 16 = 0
y² - 8y + 2y - 16 = 0 (splitting the middle term)
y(y - 8) + 2(y - 8) = 0
(y + 2)(y - 8) = 0
which means that:
y + 2 = 0 , y - 8 = 0
y = -2 , y = 8
These are the two possible values of y
8.
We are given:
points A and B
A: (3, y)
B: (6, 2)
distance between A and B = 5 units
finding possible values of y
here, we will use the distance formula again to find the value of y
distance formula: [tex]\sqrt{(x_a-x_b)^2 + (y_a - y_b)^2}[/tex]
plugging the given values, we get:
5 = [tex]\sqrt{(3-6)^2 + (y - 2)^2}[/tex]
25 = (3 - 6)² + (y - 2)² (squaring both sides)
25 = (-3)² + (y - 2)²
25 = 9 + y² + (2)² - 2(y)(2)
25 = 9 + y² + 4 - 4y
y² - 4y + 9 + 4 - 25 = 0 (subtracting 25 from both sides)
y² - 4y - 12 = 0
y² - 6y + 2y - 12 = 0 (splitting the middle term)
y(y - 6) + 2(y - 6) = 0
(y + 2)(y - 6) = 0
y + 2 = 0 , y - 6 = 0
y = - 2 , y = 6
These are the two possible values of y
1+17+29+14+33 how to calculate quickly
Step-by-step explanation:
take all numbers, and add all of the numbers under 25 first, then add the ones over 25, then add the sum of both:
1
17
14
= 32
29
33
= 62
32 + 62 = 94
What are the coordinates of the image of vertex D after
a reflection across the x axis?
Answer:
6. Which displays the properties of the selected object?
a) Timeline
b) Property Inspector Box
c) Tools Panel
d) Stage
7. What is the extension of the Animate CC file ?
a) .mp3
b) .fls
c) .xls
d) .fla
8. This is a list of clear instructions for solving a problem.
a) Algorithm
b) Abstraction
c) Decomposition
d) Analysis
9. This is a diagrammatic representation of steps to solve a problem.
a) Looping
b) Flowlines
c) Flowchart
d) Algorithm
10. The ____ tool is used to draw star shapes.
a) Rectangle
b) Oval
c) Square
d) Polygon
1)Find the quadratic equation
3(3x [tex] {}^{2} [/tex]+ 1)=12x
2)Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex]
Step-by-step explanation:
"find" ?
the equations are already there.
do you mean solve in the sense of finding the zero points of the equations ?
if so,
the general solution of a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
3(3x² + 1) = 12x
9x² + 3 = 12 x
9x² - 12x + 3 = 0
a = 9
b = -12
c = 3
x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =
= (12 ± sqrt(36))/18 = (12 ± 6)/18
x1 = (12 + 6) / 18 = 18/18 = 1
x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...
9y² - 12y - 14 = 0
same thing, we just use y instead of x.
a = 9
b = -12
c = -14
y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =
= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =
= (12 ± 18×sqrt(2))/18
y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =
= 0.942809042...
y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =
= -0.747546896...
Write a word problem that can be solved by dividing 6 by 5
Answer:
If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.
Step-by-step explanation:
Anthony is going to invest in an account paying an interest rate of 4.6% compounded monthly. How much would Anthony need to invest, to the nearest ten dollars, for the value of the account to reach $240,000 in 20 years?
The principal investment required to get a total amount of $240,000.00 from compound interest at a rate of 4.6% per year compounded 12 times per year over 20 years is $95,812.95.
Computation of Compound InterestGiven Data
Interest Rate r= 4.6%
Final Amount A = $240,000
Time T = 20 years
Answer:
P = $95,812.95
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.6/100
r = 0.046 per year,
Then, solve the equation for P
P = A / (1 + r/n)^nt
P = 240,000.00 / (1 + 0.046/12)^(12)(20)
P = 240,000.00 / (1 + 0.003833333)^(240)
P = $95,812.95
Learn more about compound interest here:
https://brainly.com/question/24924853
Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer
690.28
650.83
500.83
791.28
Answer:
C) 500.83
Step-by-step explanation:
Surface area for a cylinder formula:
SA = 2πrh + 2πr²
Given:
d = 11
r = d/2 = 11/2 = 5.5
h = 9
Work:
SA = 2πrh + 2πr²
SA = 2(3.14)(5.5)(9) + 2(3.14)(5.5)²
SA = 310.86 + 2(3.14)(30.25)
SA = 310.86 + 189.97
SA = 500.83
How do you Solve for x
Answer:
C. x=12
Step-by-step explanation:
Angles in a triangles add up to 180 degrees. We are given that one angle is a right angle which means it's 90 degrees so...
2x+1+5x+5+90=180
Add like terms
96+7x=180
Subtract 96 from both sides
7x=84
Divide both sides by 7
x=12
find the side of a cube whose surface area is 216 sq. m
Answer:
6 m
Step-by-step explanation:
Side = x
Surface area = [tex]6x^2[/tex]
[tex]6x^2 = 216[/tex]
[tex]x^2 =36[/tex]
x = 6
The answer is 6m
Hope this helps :)
Have a nice day!
The side length of the cube is calculated as 6m
Data;
Surface Area = 216 sq. medge length = xSurface Area of a CubeThe surface area of a cube is given as
[tex]A = 6x^2[/tex]
This indicates all the six sides in the cube.
Let's substitute the values and solve for x
[tex]A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6[/tex]
The side length of the cube is calculated as 6m
Learn more on surface area of a cube here;
https://brainly.com/question/9573057