Answer:
7 feet
Step-by-step explanation:
Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?
We solve this question
Length of shadow/Height
Ferris wheel = Ticket booth
64 feet/160 feet = 2.8 feet/x
Cross Multiply
64x = 160 × 2.8
x = 160 × 2.8/64
x = 7 feet
The height of the ticket booth is 7 feet
Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .
Answer:
T=10c+2p
Step-by-step explanation:
For a function, each input(x) can only have ONE output (y). Is this a function?
Il-1, 1), (-1,0),(-1,-1),(-1,-2)}
Answer C
Step-by-step explanation:
Help please 43 points
Answer:
Get the data from the table:
40, 45, 50, 55, 75, 80, 85Median is the middle number:
55Mean is the average:
(40+ 45+ 50+ 55+ 75+ 80+ 85)/7 = 61.42Rachel and Sarah spent:
80 + 85 = 165Please answer the question below
Answer:
11
Step-by-step explanation:
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).
Answer:
[tex]64\ \text{sq. units}[/tex]
Step-by-step explanation:
Area of a rhombus is the product of the length of the diagonals divided by two.
Length of one diagonal is 8 units and the other diagonal is 16 units
Area is given by
[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]
The area of the rhombus is [tex]64\ \text{sq. units}[/tex]
Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.
[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]
What is y-8=3(x+1) in standard form
Answer: 3x - y= -11
Step-by-step explanation: just rewrite in youre standard form equation
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
Write the following in slope-intercept form.
Answer:
[tex]\huge\boxed{y=4x-7}[/tex]
Step-by-step explanation:
Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.
The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.
Now that we know both changes, we can divide the change in y by the change in x.
[tex]\frac{16}{4}=4[/tex]
Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).
[tex]y=4x+b[/tex]
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
[tex]y=4x-7[/tex]
Hope this helped!
5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4
Answer:
A
Step-by-step explanation:
GENERATE THE FIRST 4 Terms of f(n)=-2(n-1)+8
Help
Answer:
8, 6, 4, 2
Step-by-step explanation:
f(n)=-2(n-1)+8
Plug n =1
f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8
Plug n =2
f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6
Plug n =3
f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4
Plug n =4
f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2
Evaluate the function: f (x)=4x-1. Find f (5)
Answer:
f(5)= 4(5)-1
=20-1
=21
The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.
The linear function is given as follows:
f(x) = 4x - 1
To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.
f(5) = 4(5) - 1
= 20 - 1
= 19
Therefore, f(5) is equal to 19.
The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.
By performing the necessary arithmetic operations, we find that f(5) is 19.
Learn more about the functions here:
brainly.com/question/12431044
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The revenue for a company producing widgets is given by y = -10x2 - 25x + 125, where x is the price in dollars for each widget. The cost of the production is given by y = 60x - 10. Determine the price that will allow the production of the widget to break even.
When they create 3.44 products and make a revenue of $76.027, they will break even.
Step-by-step explanation:
To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).
Need help asp!!!plz
What is the output of the function y = 2" + 4 if the input is -2?
Answer:
Step-by-step explanation:
4(s + 50) 52 +30s + 200
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
Write two hundred thousand and fifty seven in figures
*BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST**
Determine whether or not each expression below is a perfect square. Explain why the expression is or is not a perfect square. If it is not a perfect square, find the perfect square that seems “closest” to the given expression and show how the perfect square can be adjusted to be the given expression.
1. A(x)=x^2+6x+13
2. A(x)=2x^2+8x+14
Step-by-step explanation:
These aren't a perfect square bec. 1 st and 3rd terms must be perfect square
A(X) = X^2+6X +13 be perfect square if 13 Changed to 9
= X ^2+6X +9
A(x)= 2X^2+8X +14 be perfect square
= 4X ^2+ 8X + 16
whats the midpoint between -1,2 and -3,-4
Answer:
md(-2,-1)
Step-by-step explanation:
Md=(x1+x2/2,y1+y2/2)
or,Md=(-1-3/2,2-4/2)
or,Md=(-4/2,-2/2)
•°•Md=(-2,-1)
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?
Answer:
$15.98
Step-by-step explanation:
25% off means it is 75% of its normal cost
0.75 x 20 = 15
The scarf is $15 after 25% discount. Then we calculate its final cost after tax:
6.5% = 0.065
1.065 x 15 = 15.975 which rounds to $15.98
Answer: 15.98
Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98
44.56 divided by 4.46
Answer:
9.99103139013
Step-by-step explanation:
For the rounded version it would be 10.00 rounded to the nearest whole
round the number 1 560 to the nearest thousands place
Answer:
2000
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
the reason of this is the one becomes a two so the other numbers go to zero
then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.
if you like my question please send brainiest thanks.
Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4
Answer:
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
[tex]x-2y=4[/tex]
solving for y to writing the equation in the slope-intercept form and determining the slope
[tex]x-2y=4[/tex]
Add -x to both sides.
[tex]x - 2y + (-x) = 4+(-x)[/tex]
[tex]-2y = 4 - x[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]
[tex]y=\frac{1}{2}x-2[/tex]
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Need help on this thank you if you help
Answer:
a. 2/5
b. 1/2
c. 100/9
Step-by-step explanation:
a: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:
.12 × 100 = 12
.3 × 100 = 30
Simplify: 12/30 = 2/5
b: Multiply bottom and top by 1,000 to keep values the same and make the fraction a whole fraction:
.125 × 1,000 = 125
.25 × 1,000 = 250
Simplify: 125/250 = 1/2
c: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:
4 × 100 = 400
.36 × 100 = 36
Simplify: 400/36 = 100/9
Can somebody help me on this one
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
1 3 movie tickets cost $36. At this rate, what is the cost per ticket?
Answer:
$12 per ticket
Step-by-step explanation:
if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost
36/13= $12
The graph of y = |x − 3| + 2 is reflected across the x-axis and then translated down 2 units. What is an equation of the transformed graph?
Answer:
y=-|x − 3|
Work
y = |x − 3| + 2
-2 -2
y = |x − 3|
add a neg before the absolute value
y=-|x − 3|
Transformation involves changing the position of a graph
The equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]
The equation is given as:
[tex]\mathbf{y = |x -3| + 2}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{y = -|x -3| - 2}[/tex]
The rule of translation 2 units down is:
[tex]\mathbf{(x,y) \to (x,y-2)}[/tex]
So, we have:
[tex]\mathbf{y = -|x -3| - 2 - 2}[/tex]
[tex]\mathbf{y = -|x -3| - 4}[/tex]
Hence, the equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
Which statement describes a ratio?