Answer:
Popcorn=$6
Step-by-step explanation:
1) Setting variables
d= price of drinks
p= price of popcorn
2) Writing the system of equations
10d+7p=132
2d+14p=102
3) Simplifying one equation
2d=102-14p
d=51-7p
4) Solving the other equation by plugging the first equation in
d=51-7p
10d+7p=132
10(51-7p)+7p=132
510-70p+7p=132
510-63p=132
63p=378
p=6
5) Substituting p=6 into the first equation
d=51-7p
d=51-42
d=9
Complete 8 for 15 points.
Answer:
756 is evenly divisible by 2, 3, 4, 6, and 9.
Step-by-step explanation:
756 is evenly distributed by the numbers (above).
756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
Answer:
12
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
25 * 3 = 75
87 - 75 = 12
A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is not an E
Answer:
your chances would be 9 out 10 or in fraction form 9/10
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.
Answer:
2 1/2
Step-by-step explanation:
take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2
You have a 10 gallon jug and a 3 gallon jug. Both jugs are unmarked. You need exactly 5 gallons of water. How can you get it if a water faucet is available?
Answer:
Step-by-step explanation:
You have a 10 gallon jug and a 3 gallon jug and need exactly 5 gallons of water.
This what you do:
- Fill the 3 gallons jug full and pour into the 10 gallons keg
- Repeat the above a second time making a total of 6 gallons of water in the 10 gallons jug.
- Fill the 3 gallons jug a third time and pour into the 10 gallons jug making 9 gallons
- Fill the 3 gallons jug the fourth time and pour into the 10 gallons jug till full leaving 2 gallons of water remaining in the 3 gallons jug.
- Then empty out the 10 gallons jug and pour the 2 gallons of water in the 3 gallons jug into the 10 gallons jug.
- Then, fill the 3 gallons jug again and pour into the 10 gallons jug holding the 2 gallons of water making a total of 5 gallons of water in the 10 gallons jug.
Hope, that helps!!!
Find cos x if sin x =0.82.
Answer:
cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...
Missing: =0.82 | Must include: =0.82
Step-by-step explanation:
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answer:
C. [tex]b^{27}[/tex]
Step-by-step explanation:
Assume b is a number like 3
([tex]3^{9}[/tex])³=19683³=7625597484987
[tex]3^{24}[/tex]=282429536481
B is definitely wrong. Not even going to try.
[tex]3^{27}[/tex]=7625597484987
D is definitely wrong. Not even going to try.
Using a fair, six-sided die, what is P(2 or 3)?
Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.
Answer:
y = -3x - 9
Step-by-step explanation:
Equation of line in point slope form is given as:
[tex]y - y_1 = m(x-x_1) \\
y - 3= - 3\{x - (-4)\}\\
y - 3 = - 3(x + 4)\\
y =- 3x - 12 +3\\
y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
0.62
Step-by-step explanation:
Evaluate the expression when c= -4.
c² – 5c+2
Answer:
The answer is 38.
Step-by-step explanation:
You have to substitue c = -4 into the expression :
Let c = -4,
[tex] {( - 4)}^{2} - 5( - 4) + 2[/tex]
[tex] = 16 + 20 + 2[/tex]
[tex] = 38[/tex]
Maya has $270. She spends one third on shoes and buys 3 shirts for $12. She spends the remaining amount to buy dresses for $32 each. Determine the number of dresses she buys?
Answer: 4 dresses
Step-by-step explanation:
Hope you get it right!
The table shows the battery life of four different mobile phones:
Mobile Phone Battery Life
Phone: Battery Life (hours)
A: 20
B: 25
C: 10
D: 18
If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day?
1. Phone A
2. Phone B
3. Phone C
4. Phone D
Answer:
phone C
Step-by-step explanation:
since, 8.45% of (×) 10
= 0.845
= 0.8
Answer:
probably phone C
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 10 buses with 410 students. High School B rented and filled 10 vans and 12 buses with 556 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Answer:
A van can carry 15 students and a bus can carry 966 students
What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2
Answer:it’s 31.7 cm^2
Step-by-step explanation:
The approximate area of the shaded sector is 31.7 cm² (Option A).
To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.
The formula to find the area of a sector is given by:
Area of sector = (θ/360) * π * r²
where θ is the central angle and r is the radius of the circle.
In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.
Let's calculate the area of the shaded sector:
θ = 30 degrees
r = 11 cm
Area of sector = (30/360) * π * 11²
= (1/12) * π * 121
= π * 10.0833...
Now, we can approximate the value of π as 3.14:
Area of sector ≈ 3.14 * 10.0833...
≈ 31.7 cm²
Therefore, the approximate area of the shaded sector is 31.7 cm².
The correct option from the given choices is A. 31.7 cm².
To know more about sector, refer here:
https://brainly.com/question/12051312
#SPJ2
Discussion Topic: As part of their job, meteorologists make weather predictions from data. How accurate are their predictions? What are other scenarios in which you would use data to make a prediction? How would you defend your prediction using data?
Answer: 1. Not always accurate.
2. A football game.
3. By using the data from the winning percentage against number of games played.
Step-by-step explanation:
Meteorologists are responsible for making weather predictions, but their predictions are always not accurate because they use datas and theory to predict the scenarios of the weather or what it might be. Their predictions are not accurate because of changes in weather or data being used unexpectedly.
A scenario where I would use data to make a prediction could be in a football match or game where you i have a percentage of winning, which depends on how many times the game is played.
The winning percentage gives us the data on the probability of winning the game which would help predict how many times you'll win a game by how many times the game is played.
Plz help! Question on picture :)
Answer:
125 students participated
Step-by-step explanation:
66% + 30% = 96%
100% - 96% = 4%
4% = 5 students
100% ÷ 4% = 25
25 × 5 = 125
125 students participated
Answer:
125 students
Step-by-step explanation:
30+66=96
100-96=4
5 students make up 4%.
100/4=25
25x5=125 students
Kendra gets a paycheck of 300 after 5 days of work at this rate how much does she get paid for working 24 days
Answer:
$1,440; Possible work: Since 300 4 5 5 60, Kendra gets paid $60 per day: 60 3 24 5 1,440. So, she gets paid $1,440 for working 24 daysStep-by-step explanation:
HOPE THIS HELPS
Answer:
1440 = x
Step-by-step explanation:
We can use a ratio to solve
300 dollars x dollars
----------------- = ------------
5 days 24 days
Using cross products
300*24 = 5x
Divide each side by 5
300*24/5 = 5x/5
1440 = x
Given: 6|x/3| < 18
Part A: Show the step(s) to get the absolute value expression by itself.
Part B: Write the two equations used to solve the absolute value equation.
Part C: Solve the equations and check your equations.
Answer:
see below
Step-by-step explanation:
6|x/3| < 18
Divide by 6
6/6|x/3| < 18/6
|x/3| < 3
Now we get two equations, one positive and one negative, remembering to flip the inequality
x/3 < 3 x/3 > -3
Multiply by 3 to isolate x
x/3 *3 < 3*3 and x/3*3 > -3*3
x < 9 and x > -9
Rewriting
-9 < x<9
Check -12
6|-12/3| < 18
6|-4| <18
24<18 False good
Check 0
0<18 true
Check 12
6|12/3| < 18
6|4| <18
24<18 False good
Find the number, if...
3/8 of it is 24.
Answer:
64
Step-by-step explanation:
To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).
Answer:
The number is 64
Step-by-step explanation:
Let the number be x
3/8 of x = 24
x = 24 ÷ (3/8)
[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]
x = 64
x: 3 5 6 10
y: 45 84 116 372
What is the result if the best fit exponential model for the following data set was used to predict the output when x=15?
A) 593
B) 783
C) 1284
D) 1693
A 25ft ladder is propped against a storeroom. The angle the ladder forms is 50°. How far up the storeroom does the ladder reach?
Answer:
This means the store room is 19.15ft up
Step-by-step explanation:
The set up of the question will form a right angle triangle.
The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.
Using the SOH CAH TOA trigonometry identity,
According to SOH;
Sin∅ = opposite/hypotenuse
∅ is the angle the ladder forms
sin50° = x/25
x = 25sin50°
x = 19.15ft
This means the store room is 19.15ft up
the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?
Answer:The length of the third side 2.5.
Step-by-step explanation:
We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.
4b + 3b+15 +b =12b + 5
Solve for b.
8b +15=12b +5
-8b -8b
15+4b +5
-5 -5
4b/4=10/4
B=2.5
So the length of the third side is 2.5
4(2.5) + 3(2.5)+15+2.5=12(2.5)+5
35=35
PLEASE HELP
For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?
A. The finding is significant at α = 0.05, but not at α = 0.01.
B. The finding is significant at α = 0.01, but not at α = 0.05.
C. The finding is significant at both α = 0.05 and α = 0.01.
D. The finding is not significant at α = 0.05 and α = 0.01.
Answer:
C
Step-by-step explanation:
Is is a one-tailed test
P(z < 2.45) = 0.9929
1 - 0.9929 = 0.0071
Significant at both 0.05 and 0.01 because both are greater than 0.0071
Answer:
The finding is significant at both α = 0.05 and α = 0.01.
15 5 6 6 19 4 5 5 3 4 5 19 5 4 6
What is the mean? Round your answer to the nearest tenth.
Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.
Answer:
Step-by-step explanation:
A) One student is chosen from Classroom A, then a student is chosen from Classroom B
the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause
Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discount?
Answer:
The total value of the discount was $10.80.
Step-by-step explanation:
Since we are finding the value of the discount, we just need to find 18% of 60.
We can convert 18% into a decimal.
18%=0.18
Multiply.
0.18*60=10.8
The total value of the discount was $10.80.
I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!
Answer:
Keith; -5, -12
Step-by-step explanation:
Logic ( Subtract 12 from both sides, then factor it out)
The student government-collected data on club membership by grade level. Data on club membership are summarized in the table shown below.
Grade Level Club Membership No Club Membership Total
9 125 250 375
10 165 155 320
11 201 101 302
12 206 69 275
Total 697 575 1272
a.no, bc P(Club Membership) not equal to P(12)
b. no, bc P(Club Membership/Grade 12) not equal to P( Club Membership)
c.yes because P(Grade 12)= P(Club Membership)
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Answer:
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Step-by-step explanation:
A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?
Answer: 37.64
Step-by-step explanation:
Given data:
Height of the cone = 4feet
Radius of the cone = 3feet
Therefore:
Perimeter of a cone = 1/3 * π * r*h
= 1/3 * 22/7 * 3² * 4
= 0.333 * 3.14 * 9 * 4
= 37.64 feet
The perimeter of the The cone and plane is 37.64feet
