Answer:
The concession stands needs to sell 14 or more bags.
Step-by-step explanation:
Given that:
Cost per bag of popcorn = $2.50
Number of bags already sold = 30
Cost of 30 bags = 30*2.50 = $75
Bags needs to be sold to make $110 = x
2.50x + 75 ≥ 110
2.50x ≥ 110-75
2.50x ≥ 35
Dividing both sides by 2.50
[tex]\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14[/tex]
Hence,
The concession stands needs to sell 14 or more bags.
At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answer:
A
Step-by-step explanation:
If 7 out of 9 voted to plant, that means 2 voted against
so the ratio we are looking at here for vote for and vote against is 7:2
So let the total that voted be x
7/9 * x = 119
x = (9 * 119)/7
x = 153
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back. Function represents Amy's total time spent hiking,
and x represents amy's hiking speed in miles/hour
It is the time it takes Amy to hike to the waterfall.
The term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
What is speed?"It is defined as the distance traveled per unit times."
What is relation?"It defines a relation between input values and output values."
For given example,
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.
we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]
This function represents Amy's total time spent hiking,
and x represents Amy's hiking speed in miles/hour.
Let 't' be the time required to reach Amy from ranger hills to a waterfall.
As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.
Using the formula of speed,
⇒ x = 6/t
⇒ t = 6/x
Therefore, the term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
Learn more about the speed here:
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Jada and Alexandra sell spices at the marketplace. They each charge a constant price per kilogram of spices.
Jada has weekly expenses of \$200$200dollar sign, 200. She covers her expenses and makes a profit of \$280$280dollar sign, 280 for selling 808080 kilograms of spices.
The graph of Alexandra's weekly profit (in dollars) as a function of the amount of spices sold (in kilograms) is shown below.
Who has greater weekly expenses?
Answer:
Alexandram has greater weekly expenses
They charge the same price
Step-by-step explanation:
I got this answer for khan academy!
Answer:
Alexandram
They charge the same price
Step-by-step explanation:
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.
Complete question :
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.
Answer:
44°
Step-by-step explanation:
From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 30 / 30
Tanθ = 1
θ = tan^-1(1)
θ = 45°
Hence, bearing of B from C is 45°
Triangle ABC is similar to triangle DEF What are the lengths of sides DF and EF ?
Answer:
A)
Side DF=3
Side EF=6/5
Bye
The values of DF and EF are 3 and 6/5 respectively. (option A)
What are similar triangles?When two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Given that, Δ ABC ~ Δ DEF
The proportion = AB/DE = BC/EF = AC/DF = 5/3
2/EF = 5/3
EF = 6/5
5/DF = 5/3
DF = 3
Hence, The values of DF and EF are 3 and 6/5 respectively. (option A)
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Adam rode a train that traveled at a constant speed of 60 miles per hour. Which graph represents the distance traveled by his train over time?
Answer: need pictures
Step-by-step explanation
What are the next three terms of the geometric sequence 32, -16, 8, …?
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Answer:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = 1313.3[/tex]
Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:
[tex](x_1,v_1) = (0,2220)[/tex]
[tex](x_2,v_2) = (6,1540)[/tex]
Solving (a): The linear function
First, we calculate the slope (m)
[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1540-2220}{6-0}[/tex]
[tex]m = \frac{-680}{6}[/tex]
[tex]m = -\frac{340}{3}[/tex]
The linear function is calculated using:
[tex]v - v_2 = m(x - x_2)[/tex]
Where:
[tex](x_2,v_2) = (6,1540)[/tex]
[tex]m = -\frac{340}{3}[/tex]
So, we have:
[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]
Open bracket
[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]
[tex]v - 1540 = -\frac{340}{3}x +680[/tex]
Make v the subject
[tex]v = -\frac{340}{3}x +680+1540[/tex]
[tex]v = -\frac{340}{3}x +2220[/tex]
So, the function is:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
Solving (b): When x = 8
Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]
[tex]V(8) = -\frac{340*8}{3} +2220[/tex]
[tex]V(8) = -\frac{2720}{3} +2220[/tex]
Take LCM
[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]
[tex]V(8) = \frac{-2720+6660}{3}[/tex]
[tex]V(8) = \frac{3940}{3}[/tex]
[tex]V(8) = 1313.3[/tex]
Hence, its value after 8 years is 1313.3
Shawn earned 5% commission on a $500 sale. How much did he earn
Answer:
$25
Step-by-step explanation:
5% of 500 = 0.05 × 500 = 25
Answer:
25$
Step-by-step explanation:
500*.05=25
Hope this helps :0
A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1,5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
4y -9x =-23 x=y-3 what is the y-value
Answer:
y = 10
Step-by-step explanation:
Use the substitution method since you already know what x equals.
4y - 9(y - 3) = -23
Simplify:
4y - 9y + 27 = -23
Combine like terms:
-5y + 27 = -23
Isolate y by subracting 27 from both sides:
-5y = -50
Divide by -5 to get y by itself:
-5/-5 = y
-50/-5 = 10
Find the slope and the y-intercept of the line.
5x - 4y= -8
Write your answers in simplest form.
Answer: The slope is 5/4 and the y intercept will be 2
Step-by-step explanation:
First convert the equation to slope intercept form ( y = mx+b) where m will be the slope and b will be the y intercept.
5x - 4y = -8 Subtract 5x from both sides
-5x -5x
-4y = -5x - 8 Divide both sides by -5
y = 5/4x + 2
A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles,
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road Round your answer to the nearest tenth,
Answer:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
Help as quick as possible plz :(
find the area of the shaded portion the one who answer first will get brainliest
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )
Answer:
[tex]A_s=76.97\ cm^2[/tex]
Step-by-step explanation:
Circular Sector
It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:
[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]
Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:
[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]
The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:
[tex]A_s=A_1-A_2[/tex]
The larger area is calculated with a radius of r1=14 cm:
[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_1=102.626\ cm^2[/tex]
The smaller area is calculated with r2=7 cm:
[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_2=25.656\ cm^2[/tex]
The shaded area is:
[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]
[tex]\boxed{A_s=76.97\ cm^2}[/tex]
p/5 = 10 what is p
It is for a late assignment!!! I have so many late assignments. I feel like crying.
sorry to many emotions.
Answer:
50
Step-by-step explanation:
p/5=10
Your main goal is to isolate p
p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.
(5)p/5 = 10(5)
p=50
plssss helpppp.i need itt nowww
Answer:
cant see from the light retake the photo
Step-by-step explanation:
We learnt this way in Turkey.
Pls show workings it due in a hour
Answer:
The inequality describes all possible value of x is 14 < x < 32 ⇒ D
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesIn the given figure
∵ ABC is a triangle
∵ AC = 9 and BC = 21
∵ AB is the third side of the triangle
→ By using the rules above
∴ BC - AC < AB < BC + AC
∵ AB = x - 2
→ Substitute their values in the inequality above
∵ 21 - 9 < x - 2 < 21 + 9
∴ 12 < x - 2 < 30
→ Add 2 to the 3 terms
∴ 12 + 2 < x - 2 + 2 < 30 + 2
∴ 14 < x < 32
∴ The inequality describes all possible value of x is 14 < x < 32
The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405
What is DjDan's hourly rate?
Answer:
$80
Step-by-step explanation:
DJ Dan's hourly rate will be $80.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.
Assume that the hourly rate is $[x]. Than, we can write -
3.5x + 125 = 405
3.5x = 405 - 125
3.5x = 280
x = (280/3.5)
x = 80
Therefore, DJ Dan's hourly rate will be $80.
To solve more questions on equations, expressions and polynomials, visit the link below -
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please help with this. i need your help please ;)
Answer:
b
Step-by-step explanation:
becuse
Answer:
top right
Step-by-step explanation:
BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!
5 puonds of grapes cost 9.35 how much would 2 pounds cost
Answer:
$3.74
Step-by-step explanation:
5 pounds is 9.35 means 1 pound is 1.87 dollars
2 pounds is 3.74 dollars
HELP PLEASEEEEEEEEEEEEE
A cruise ship can travel at a constant speed of 24 miles per hour. Approximately how many days will it take for the cruise ship to travel 1,200 miles?
9514 1404 393
Answer:
2 1/12 days
Step-by-step explanation:
Time is the ratio of distance to speed.
(1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days
What is the slope of y = -4x - 3
Answer:
-4
Step-by-step explanation:
Answer:s
slope of -4x-3: m=-4
WHAT IS O/O PLS ANSWER
Answer:
Its 0
Step-by-step explanation:ur not smart if u dont know that
Find the GCF of 20m and 45.
Answer:
5
Step-by-step explanation:
20/5=4
45/5=9
cant simplify farther
Answer:
the answer is 5.
Step-by-step explanation:
Factors for 20: 1, 2, 4, 5, 10, and 20.
Factors for 45: 1, 3, 5, 9, 15, and 45.
Same numbers is 5.
the answer is 5.
PLS HELP NEW THIS QUICK!!!
Answer:
Option C
Step-by-step explanation:
[tex]3\frac{1}{5} \times 2\frac{1}{5}[/tex]
Lets convert it into improper fraction.
[tex]\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}[/tex]
Lets convert [tex]\frac{176}{25}[/tex] into a mixed fraction.
[tex]=> \frac{176}{25} = 7\frac{1}{25} = 7.04[/tex]
Rounding off 7.04 gives 7 and rounding 7 further gives 10.
So , the estimate of the product is 10
Mr James spent $62.60 ordering sandwiches for his staff he tipped the delivery driver 20% how much did he spent altogether.
Answer:
He spend 75.12
Step-by-step explanation:
First determine the amount of the tip
62.60 * 20%
62.60 *.20
12.52
Add this to the cost of the sandwiches
62.60+ 12.52
75.12
Answer:
He spent 75.12! hope this helps :)
Step-by-step explanation:
Hellooooo can sumbody answer this?
Answer:
D
Step-by-step explanation:
y=-x-4
First, we can match the graphs with the y-intercept of -4 given from the equation.
Only graphs C and D crosses the y-axis at -4.
The slope from the equation is -1.
If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)
Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.
Hope I was able to help! Good Luck!
A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?
A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second
Answer:
answer is C
average speed=distance÷time=120÷4=30