Given:
Fixed cost = $150
Additional cost = $22.50
To find:
The equation that showing the cost of the gala depends on the number of attendees.
Solution:
Let x be the number of attendees and y be the cost of the gala.
Total cost = Fixed cost +Variable cost
We have,
Fixed cost = $150
Variable cost = Additional cost × Number of attendees
= [tex]22.50\times x[/tex]
= [tex]22.50x[/tex]
Total cost of gala is:
[tex]y=150+22.50x[/tex]
Therefore, the required equation is [tex]y=150+22.50x[/tex].
Help help help math math
Answer:
V = 500 cm³
Step-by-step explanation:
V = 4/3 πr³
V = (4/3) × 3 × (5 cm)³
V = 4 × 125 cm³
V = 500 cm³
What is the estimated difference between 7 6/11−5 13/15 ?
Answer:
1 1/2
Step-by-step explanation:
7 6/11−5 13/15
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.
Order the expressions by choosing >,
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
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Scale down 1/2 and a 180 degree flip
Find the slope of the line that contains (−7,−1) and (−7,9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answer:
undefined
Step-by-step explanation:
Slope = y - y / x - x
9 - (-1) / -7 - (-7)
= 9 + 1 / -7 + 7
= 10 / 0, undefined.
Cannot divide by zero.
help plz
help
help
help
help
help
help
Answer:
A
Step-by-step explanation:
-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.
-hope it helps
Answer:
answer be A
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
What is the volume of this figure?
A. 192 cm
B. 49 cm3
C. 343 cm3
D. None of the above
[tex]\qquad[/tex]____________________
It’s given–
Length of one side is = 7cm[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]
Hence, option C is the correct option!8 to the 9th power over 8 to the 7th power simplified?
Answer:
64
Step-by-step explanation:
8^9/8^7
Subtract the 9 and 7 which equals 2
Which is 8^2
8^2 is 64
Thus the answer is 64
Hope this helps!
Someone please help me solve the problem
========================================================
Explanation:
Check out the diagram below.
We have the following points
A = center of both the circle and the squareB = point on the circle directly to the left of point AP,Q,R,S = corner points of the squareE = intersection of segments AB and PSF = point on the square directly to the right of point AC and D = intersection of segment PS and the circleLet x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.
We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.
At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.
----------------------------------
To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.
Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]
The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.
Use these two facts to find the area of each in terms of x.
[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]
[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]
-----------------------------------
The last step is to divide the two results. The x^2 terms cancel out.
We'll be left with...
[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]
There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.
Question 3
Which table represents a linear function?
Answer:
Top right
Step-by-step explanation:
The change in y must be constant. 11-13 = 2, 11-9 = 2, 9-7 = 2
write an expression that is equivalent to (-16)^-2
Answer:
1/256
Step-by-step explanation:
(-16)^-2
= 1/(-16)^2
= 1/ (-16· -16)
= 1/ 256
41 - 17=
i know it's 28 but i can't really do math
please help me quickly
Answer:
D
when you look at it it is upside down so d is the right answer
Help please!!!!…
(It’s slope)
Answer:
-3; (8, -20)
Step-by-step explanation:
to find the rate of change we do (y2 - y1) / (x2 - x1)
basically we choose 2 points on y and subtract them while using the 2 points on x and subtracting them
after subtracting them we divide change of y by change of x
for this one i chose (3, -5) and (6, -14)
-14 - (-5) = -9
6 - 3 = 3
-9 / 3 = -3
the rate of change is three
to find the y intercept we can use this equation
y = -3x + b
and then plug in things
ill plug in the first set of coordinates
-5 = -3(3) + b
-5 = -9 + b
b = 4
so the y intercept is b
using this equation
y = -3x + 4
we can find out what value y is when the x value is 8
-3(8) + 4 = -20
Solve each inequality
2x + 2 - 6x > -4 - 7x
1 + 7n ≤ 15 or -2n - 2 ≤ - 18
Please show all work :D
Answer:
x > -2n ≤ -2 or n ≥ 8Step-by-step explanation:
1.Add 7x-2 to both sides and collect terms.
2x +2 -6x +7x -2 > -4 -7x +7x -2
3x > -6
x > -2 . . . . . . . divide by 3
__
2.Solve these one at a time, and form the union of the answers.
1 +7n ≤ 15 . . . .given
7n ≤ 14 . . . . . . subtract 1
n ≤ 2 . . . . . . . divide by 7
__
-2n -2 ≤ -18 . . . given
-2n ≤ -16 . . . . . add 2
n ≥ 8 . . . . . . . . divide by -2
The solution is n ≤ -2 or n ≥ 8.
Please help me y’all.
Step-by-step explanation:
6 > 4x - 5
Bringing like terms on one side
6 + 5 > 4x
11 > 4x
11/4 > x
Option none is the correct answer
need assistance with alegbra 2
Answer:
C.
Step-by-step explanation:
Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).
f(x)=(x-2)^2+1
I HAVE NO IDEA HOW TO DO THIS
Answer:
Line 1 is D
Line 2 is I
Line 3 is B
Line 4 is F
Step-by-step explanation:
Find the slope of each line to get these answers, and when you see an equation like y=3x+1 it means that 1 is the y intercept and 3 is the slope
What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A
The bearing of point Y from point X is 065°.
The bearing of point Z from point Y is 145º.
The bearing of point Z from point X is 105º.
Find the bearing of point X from point Z.
Answer:
285°
Step-by-step explanation:
You have probably learned bearing in geography and maybe even mathematics.
First off, skip the Y part since the answer you're looking for have nothing to do with it.
So, 180°+105°=285°
Those red-colored angles.. they have the same angle.
That's cause they're alternate angles and alternate angle are equal.
That arrow-like thing is to proove that they're parallel.
Ryan works at a donut shop where he makes $10.25 per hour. He works on at the school bookstore where he makes $8.75 per hour to worked 20 hours last week and made $196, how many hours did he work at each place?
Step-by-step explanation:
x = hours donuts
y = hours books
x + y = 20
10.25x + 8.75y = 196
from the first equation we get
x = 20 - y
that we use now in the second
10.25×(20 - y) + 8.75y = 196
205 - 10.25y + 8.75y = 196
-1.5y = -9
1.5y = 9
y = 9/1.5 = 6
x = 20 - y = 20 - 6 = 14
he worked 14 hours in the donut shop and 6 hours in the bookstore.
It was -5° in Copenhagen and -12° in Oslo.
Which city was colder?
Answer:
Oslo
Step-by-step explanation:
It's colder in Oslo by 7 degrees.
hope this answer helps!
Help me Please no bots I need help
Answer:
y = 2/3x + 3/2
Step-by-step explanation:
18 inches is 3/2 feet. 8 inches is 2/3 feet.
The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.
y = 2/3x + 3/2
simplify 1 and 1/6
j
Answer:0/6
Step-by-step explanation:
0/6
Y=-2|x+2|-4 i need to find y intercept and the x intercept
Answer:
x-int: ∅
y-int: (0,-8)
Step-by-step explanation:
To find the x and y-intercept, simply plug in zero for x and y:
[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]
Because an absolute value cannot be equal to a negative, there is no x-intercept.
[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]
Hope it helps :)
If you don’t answer it correctly then don’t mind answering
The answers are underneath each problem. The reason this makes sense is due to the distributive property.
27. GCF of 27 and 12 is 3
3(4+9)
28. GCF of 12 and 36 is 12
12(1+3)
29. GCF of 16 and 20 is 4
4(4+5)
30. GCF of 2x and 8 is 2
2(x+4)
31. GCF of 30 and 12x is 6
6(5+2x)
32. GCF of 42x and 49 is 7
7(6x+7)
To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF
Will give BRAINLIEST
Answer:
Quadrant 1 (1,5)
Step-by-step explanation:
The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.
Point T is in the upper right which is quadrant 1
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answer:
Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.
Step-by-step explanation:
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.
Answer:
2 Beetle juices and 3 Potion Punch
Step-by-step explanation:
j = Beetle Juice cost $2.50
p = Potion Punch Cost $3
j + p = 5 Multiply by -3 -3j - 3p = -15
$2.50j + $3p = $14 Do not change + 2.50j -3p = 14
- .50j = -1
j = 2 Beetle Juice
Substitute into the fist equation and solve for y j + p = 5
2 + p = 5
p = 3 Potion Punch
