Answers
Answer:
a) the cost of one medium drink be $3.80
b) the cost of a large popcorn be $6.25
Step-by-step explanation:
Let the cost of one medium drink be $x and the cost of a large popcorn be $y
According to question, A couple bought 2 medium drinks and a large popcorn for $13.85.
2x + y = 13.85 ..............(1)
A family bought 3 medium drinks and 2 large popcorn for a total of $23.90
3x + 2y = 23.90 ..............(2)
Using Elimination method to solve the system of equation. Multiply equation (1) by 2 , we get,
4x + 2y = 27.70 ..............(3)
Now, subtract equation (2) from (3), we get,
4x + 2y-(3x + 2y) = 27.70 - 23.90
4x + 2y-3x - 2y = 3.80
4x -3x = 3.80
x = 3.80
Substitute, x = 3.8 in (1) ,
2(3.80) + y = 13.85
7.60 +y = 13.85
y = 6.25
Therefore, the cost of one medium drink be $3.80
and the cost of a large popcorn be $6.25
Related Questions
A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a linear fashion (arithmetic).
Stock A: Equation: an = 15n + 143, where an is the value of the stock and n is the number of years.
Year Price
1 $158.00
2 $173.00
3 $188.00
4 $203.00
5 $218.00
Stock B: Equation: an = 24(1.1)n − 1, where an is the value of the stock and n is the number of years.
Year Price
1 $24.00
2 $26.40
3 $29.04
4 $31.94
5 $35.14
Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much more is this stock worth per share?
HELPPPPPP 100 POINTS PLEASE
Answers
Answer:
Use the formulas and find 5th term of both and compare
Stock A
a₅₀ = 15(50) + 143 = $893Stock B
a₅₀ = 24(1.1)⁴⁹ = $2561.25As we see Stock B share has greater value in 50 years and the difference is:
$2561.25 - $893 = $1668.25Find 50th term on both
#1
15(50)+143893#2
24(1.1)^{50-1}24(1.1)⁴⁹2561.25Difference
2561.25-893$1668.25In a bicycle store the price of a bicycle is $680. It is marked at 30% discount and then a sales tax of 6% is applied. How much money do you need to pay for the bicycle?
Answers
Answer:
447.44 is your final answer
Step-by-step explanation:
680 x 0.3 = 204
680 - 204 = 476
476 x 0.06 = 28.56
476 - 28.56 = 447.44
447.44 is your final answer.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
HELP PRETTY PRETTY PLEASE!?!?
Answers
Answer: 3, 6, 3, 6
Step-by-step explanation:
See what common factors they are able to be multiplied by
Hope this helps
12, 18=6
15, 27=3
30, 54=6
Hope I helped!
I need help plz if you can do this plz spare ur time
Answers
Answer:
77°
Step-by-step explanation:
The center of the circle is point S. That makes segment RT a diameter and it also makes the angles RST and UST a linear pair which are supplementary.
m<RST + m<UST = 180
103 + m<UST = 180
m<UST = 77°
please help me with retake questions? im really confused
Answers
Answer:
20°
Step-by-step explanation:
It's a catch. Draw a stronger line (along the circle) from V, going through Z, W, X, and getting to Y. That measures 320°.
Since the whole circle is 360° the segment YV measures 40°. Therefore, angle VXY = 20°.
Add 8 1/2% sales tax to $29.58
Answers
Answer:
$32.09
Step-by-step explanation:
Um....yeah I just used an online calculator lol
Someone help me plzzzz
Answers
Answer:
acute iscoceles
Step-by-step explanation:
cuz obtuse is 90 or more right is 90 acute is less than 90
The figure shows a large triangle divided into two smaller triangles what is the value of x in the figure
Answers
Answer:
40
Step-by-step explanation:
Find the other missing angle, which is supplementary to 100 first.
Supplementary angels are a sum of 180
The missing angle is 180-100 = 80
Now use that to find missing angle x
All angles in the triangle have a sum of 180
180 = 60+80+x
180-60-80=x
40 = x
Need this ASAP please
Answers
Answer:
C
Step-by-step explanation:
Because if we multiply by 2 both member we have
(x-12)(x-4)= 0
A product has a result that is equal to iif at least one of its factor is equal to 0, so we can solve this two equations:
x-12 = 0
x = 12
x-4 = 0
x = 4
Given triangle DEF with sides d, e, and f
opposite angles D, E, and F. respectively,
determine which angle has the smallest measure
if side d=14, e = 12, and = 10
Please help I don’t
understand how to do this!!
Answers
Answer:
F
Step-by-step explanation:
The smallest angle will be opposite the smallest side
F
The smallest angle is ∠DFE.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
Triangle DEF with sides d, e, and f opposite angles D, E, and F respectively.
And the side:
d=14, e = 12, and f = 10
To find the smallest angle:
The smallest angle is opposite to the smallest side.
And the smallest side is f = 10.
Let the angle opposite to f is ∠DFE.
Therefore, the smallest angle is ∠DFE.
To learn more about the triangle;
https://brainly.com/question/2773823
#SPJ2
What is the vertex of the parabola with equation y = 3x2 + 1?
Answers
Answer:
Step-by-step explanation:
Find the Fare without Tip: 3 passengers, 9.5 miles.
O $19.54
O$16.70
O $18.29
O$17.48
Answers
Answer:
$16.70
Step-by-step explanation:
9.5 miles / .25 = 38
The first mile is 1.25 so we do this
37 * .35 = 12.95
12.95 + 1.25 = 14.2
14.2 + 1.25 + 1.25(two additional passengers) = 16.70
Round to the nearest foot
22.65140101
Answers
Answer:
23 Ft
Step-by-step explanation:
Question 24
A teacher asked some of her students how many siblings they have. The results are displayed in the dot plot.
I.
10
How many students did she ask?
А
7 students
B
10 students
C
21 students
D
41 students
Answers
Answer:
C, 21 students
Step-by-step explanation:
if you count out each dot plotted it equal 21 people
Need help on this question asap pleasee please
Answers
Given:
A regular pentagon with side 8 cm and apothem 6 cm.
To find:
The area of the given regular pentagon.
Solution:
The area of a regular polygon is:
[tex]A=\dfrac{n\times s\times a}{2}[/tex]
Where, n is the number of sides of the regular polygon, s is the side length and a is the apothem.
In a regular pentagon the number of sides is 5.
Substituting [tex]n=5,s=8,a=6[/tex] in the above formula, we get
[tex]A=\dfrac{5\times 8\times 6}{2}[/tex]
[tex]A=\dfrac{240}{2}[/tex]
[tex]A=120[/tex]
The area of the regular pentagon is 120 cm². Therefore, the correct option is C.
Help me on this one
IM CONFUSED!!!!!!!!!
WINNER GETS BRAINLEST
Answers
Multiply then Simplify the following numbers
3√10 x 4√ 6
Answers
Answer: the answer will be 24/15
Step-by-step explanation:
PLEASE HELP ASAP WIL GIVE BRAINLYEST AND REPORT
Answers
Answer:
25%
Step-by-step explanation:
add up the total amount of ppl which was 300 people. 75300 people were females with blue cars. Simplfy and you'll get 1/4 or 25%.
Find mAC. Will give brainliest
Answers
Answer:
58° = measure of arc AC
Step-by-step explanation:
The measure of an angle formed by 2 chords is equal to 1/2 the sum of the measures of the intercepted arcs.
65 = (measure of arc AC + measure of arc BD)/2
= (measure of arc AC + 72)/2
130 = measure of arc AC + 72
58° = measure of arc AC
Sonya's backpack can carry a maximum mass of 12 kg. Her backpack is currently carrying 3/4 of that mass
Answers
Answer:
12 notebooks
Step-by-step explanation:
3/4 = 9kg =3kg left
250g=4 per kg
3 x 4= 12
The shopkeeper at a seafood store measured the weight, in pounds, of each fish
sold to each customer. The shopkeeper recorded the data on this line plot.
Weight of Fish
(pounds)
1
4
– 1 1 2 3 1
4
– 21
4
– 31
4
– 31
2 2 – 1
2
– 23
4 1 – 1
2
– 13
4
– 1
2
– 3
4
–
X X
X X X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X X
X
X
X
X
X
X
X
Based on the line plot, what was the difference between the weight of the
heaviest fish sold and the weight of the lightest fish sold?
A. 3
4 pound
B. 2 1
4 pounds
C. 2 3
4 pounds
D. 3 1
4 pounds
Answers
Answer:
21
Step-by-step explanation:
I have done this question before.
there are 4 trucks for every 5 cars in a parking lot. how many trucks and cars could be in the parking lot? A. 64 trucks and 80 cars B. 72 trucks and 73 cars C. 84 trucks and 100 cars D. 96 trucks and 110 cars
Answers
Answer:
A.
Step-by-step explanation:
64/4=16 80/5=16 They are multiplied by the same number so it is A
Please help I am confused I would really appreciate it! I know I need to find a percent but I am not sure how.
Answers
Answer:
it should be 90
Step-by-step explanation:
I hope this helps!
Find the perimeter
A) 66.4
B) 57.8
C) 62.7
D)59.2
Answers
The students in Mrs. Langford‘s fourth and sixth. Algebra class took the same test results of the scores are shown in the following table based on this data which class has the largest friend of test scores explain
Answers
Step-by-step explanation:
bdhdvdbdbdnduehbydgddcdjsogd
The height of a cone is equal to three timesthe radius of the base. If the base has area 49 pie cm2, what is the volume of the cone?
Answers
Answer:
343pi^3
Step-by-step explanation:
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
Base area = area of a circle
Area of a circle = πr²
49 pi = πr²
r² = 49
r = 7
h = 7 x 3 = 21
volume = 1/3 x 21 x 7^2 = 343pi
Which of the shaded regions below represents 3/5 of the whole circle
Answers
Answer: B
Step-by-step explanation:
If f(x)=2x+3 and g(x)=x2 -1
Answers
Answer:
Step-by-step explanation:
(f + g)(2) = 2(2) + 3 + (2)^2 - 1 = 10
(f - g)(4) = 2(4) + 3 - (4)^2 + 1 = -4
(f / g)(2) = (2(2) + 3) / ((2)^2 -1) = 7/3
(f * g)(1) = (2+3)(1-1) = 0
mayas computer screen has a ratio of width to height of 4:3 if her screen is 28 inches wide what is the height?
Answers
Answer:
21 inches
Step-by-step explanation:
Find the difference between 5 4/5 and 7 1/3
Answers
Answer: -1 8/15
Step-by-step explanation:
First turn it to improper fraction
29/5 — 22/3
87–110/15. (Here make 15 the denominator since both 3 and 5 goes in 15.
—23/15
—1 8/15
