Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.
Part A
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Part B
How much does each small bag of popcorn cost?
$
Answer:
Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
hope this helps!
The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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I'm taking a topic assessment that will really boost my grade please help
Will mark brainliest
Answer:
I believe the answer is C
Step-by-step explanation:
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)
Number line from negative 8 to positive 10 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the third tick mark to the left of 0.
Answer:
-7
Step-by-step explanation:
SRRY IF I'M WRONG IM ONLY IN 7TH GRADE BUT MY PROFILE SAYS HIGH SCHOOL srry:(
Answer:
-7 im pretty sure if wrong so so sorry
Step-by-step explanation:
Select all the fractions that are equivalent to each other.
(Choose 4)
1/3
1/4
2/8
4/16
2/12
3/12
An exterior angle of a triangle has a measure of 140 degrees. If the corresponding remote interior angles are congruent, what is the measure of each angle?
Answer:
See below, :)
Step-by-step explanation:
Hello!
From the exterior angle theorem, we know that an exterior angle is equal to remote interior angles added up. The exterior angle in this problem is 140 degrees so we also know that the remote interior angles are congruent. We can denote the interior angles as x and both combined is 2x.
Then we can create the equation:
2x = 140
x = 70
The two remote interior angles are 70 degrees.
The last interior angle is 180 - 140 = 40 degrees
Ill mark u brainlest if u know this
Answer: 780 Sheets of paper.
Step-by-step explanation:60/5=12, 12x65=780
Solve the problems:
2 1/2 + x = 5 1/3
2 4/15 - z = 1 2/3
y - 6 7/8 = 2 1/16
Answer:
1- 39/6
2-36/15
3-155/16
Step-by-step explanation:
have a nice day.
Answer:
2 1/2 + x = 5 1/3
x = 5 1/3 - 2 1/2
x = 16/3 - 5/2
x = 32/6 - 15/6
x = 17/6
x = 2 5/6
2 4/15 - z = 1 2/3
-x = 1 2/3 - 2 4/15
-x = 5/3 - 34/15
-x = 25/15 - 34/15
-x = - 9/15
-x = -3/5
x = 3/5
y - 6 7/8 = 2 1/16
y = 2 1/16 + 6 7/8
y = 33/16 + 55/8
y = 33/16 + 110/16
y = 143/16
y = 8 15/16
The range of f(x) = |x| is y ≥ 0. If a < 0 for g(x) = a|x|, what is the range of function g?
Answer:
The range of g(x) = a|x| is y=<0
The range of a function is the possible output values the function can take
The range of function g(x) is [tex]g(x) \le 0[/tex]
The function is given as:
[tex]g(x) = a|x|[/tex]
Because g(x) is an absolute function, the value of |x| will always be positive
Since (a) is negative, then the product of (a) and |x| would always be negative or 0
So, we have:
[tex]g(x) \le 0[/tex]
Hence, the range of function g(x) is [tex]g(x) \le 0[/tex]
Read more about range at:
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Chris types at an average speed of 45 words per minute. He has already typed 1,500 words of his final paper. The paper has to be more than 3,750 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to finish his paper? ANSWER CHOICES R IN COMMENTS
Answer:
C. 45x + 1,500 > 3,750
Step-by-step explanation:
You know he has already started on his paper with 1,500 words and he needs to have more words than 3,750 in his final paper which includes the 1,500. Thus, he would have 45x number of words remaining in his paper, according to his speed of 45 words per minute.
Remaining words + 1,500 words must be more than 3,750.
45x + 1,500 > 3,750
The > sign means that something on the left is more than something on the right.
Answer:
C. 45x + 1,500 > 3,750
could you mark me brainliest? xoxo
Step-by-step explanation:
please help! show your work if you can.
Answer:
35 hot dogs and 52 sodas
Step-by-step explanation:
Mary is planning a party for her brother. She has 36 prizes and 24 balloons. What is the greatest number of children who can attend the party so that each child gets an equal number of prizes and an equal number of balloons?How many prizes and balloons will each child get at the party?Solve the problem using the Distributive Property. Write the equation and show how distributive property was used, along with your final answer
Answer:
2 balloons and 3 prizes for each child for 12 children
Step-by-step explanation:
I dont really know how to show this in distributive property but thats the answer hope this helped
Answer:
2 balloons / 3 prizes for the 12 kids.
Step-by-step explanation:
I'm not sure on how to do this distributive property work, but i'm pretty sure, from doing my math, that this is the correct answer. Sorry i couldn't help you with this part ;(
Consider the division expression 7 1/2 ÷ 2. Select two multiplication equations that correspond to this division expression.
A: 2 x ? = 7 1/2
B: 7 1/2 x ? = 2
C: 2 x 7 1/2 = ?
D: ? x 7 1/2 = 2
E: ? x 2 = 7 1/2
Q#1: Amanda and Lisa are playing games at the arcade. Amanda started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13, and her machine costs $0.50 per game. After how many games will the two girls have the same amount of money remaining?
Q#2:The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?
Answer:
4 games
and it would be $37.50 for both companies
Step-by-step explanation:
9.
Pentagon ABCDE is similar to pentagon RSTUV. The perimeter of pentagon ABCDE is 36.8 centimeters.
What is the length of ST ?
18 cm
25.8 cm
15 cm
19.8 cm
Answer:
15cm
Step-by-step explanation:
Since BC is like ST but smaller, we have to find the length of BC then find the proportion for ST.
Length of BC = 36.8 - 4.4 - 13.2 - 2.2 - 11
= 6
Scale = [tex]\frac{33}{13.2}[/tex]
Length of ST = [tex]\frac{33}{13.2}[/tex] × 6
= 15
The length ST of the pentagon RSTUV is 7.36 centimeters.
What is pentagon?A polygon with 5 sides is a pentagon. The total sum of the internal angles of a pentagon is 540°.
Given is that Pentagon ABCDE is similar to pentagon RSTUV.
Since the pentagon ABCDE is similar to the pentagon RSTUV, we can conclude that the perimeter of the pentagon ABCDE is similar to that of pentagon RSTUV. Now, the sides of the pentagon are equal in length. So, we can write that -
ST = Perimeter/5
ST = 36.8/5
ST = 7.36
Therefore, the length ST of the pentagon RSTUV is 7.36 centimeters.
To solve more questions on Pentagons, visit the link-
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In the figure, square ABCD has side length 6 feet, and E is a point in the exterior of the square such that triangle ADE is equilateral. How many square feet are in the area of shaded triangle BEC? Express your answer as a decimal to the nearest tenth.
SHOW WORKING FOR BRAINLIEST
Answer:
Step-by-step explanation:
i was going to try to figure this out that is definitly hard
ravity is an attractive force that decreases as the mass of an object increases. Please select the best answer from the choices provided. T F
Answer:
True!!
Step-by-step explanation:
Just took the quiz on edge
Please help! I'll give Brainleist if someone gets this right.
*Note; I might report the people who answer, just for points.*
Answer:
Hope this helps!
Step-by-step explanation:
Brianna did it right, and 552 divided by 23 is 24!
Please give brainiest if you think my answer is good :)
Answer:
brianna's work was correct
Step-by-step explanation:
her work was correct because 20 times 23 is 460 subtact 460 from 552 and u get 92 and 92 subtracted by 92 is zero
and she will get 24 as her answer
i will give brainliest
Answer:
4 m because I put it on procreate and put tics on the 12 m to see how much each m was and measured x with that
PLEASE HELP! FINALSS!
A catering company is preparing for 200 guests. They are going to serve a punch that consists of image ginger ale and image juice. The ginger ale will be purchased in bottles that contain 0.75 gallons each.
What is the minimum number of bottles of ginger ale needed so that each guest can have up to three 12-ounce servings of punch?
A. 19
B. 16
C. 17
D. 18
The distance on the number line, is its _______________ _______________. It is always _________________________.
Answer:
answer
Step-by-step explanation:
What is the difference of the polynomials?
(5x3 + 4x2) – (6x2 – 2x – 9)
Answer:
The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.
Step-by-step explanation:
Answer:
5x3−2x2+2x+9
Step-by-step explanation:
Distribute the Negative Sign:
=5x3+4x2+−1(6x2−2x−9)
=5x3+4x2+−1(6x2)+−1(−2x)+(−1)(−9)
=5x3+4x2+−6x2+2x+9
Combine Like Terms:
=5x3+4x2+−6x2+2x+9
=(5x3)+(4x2+−6x2)+(2x)+(9)
=5x3+−2x2+2x+9
Does anyone know the answer
At Truman Middle School, 6th-grade students were given a survey about their favorite flavor of ice cream. The results showed that 22 students stated that strawberry was their favorite ice cream flavor. This number represented 10% of the total number of 6th-grade students who took the survey. What was the number of students who took the survey?
Answer:
220
Step-by-step explanation:
Please help in one part!!! Will Give Brainily!
seven divided by eight minus three square rooted by 18 and then you add 81 to it and then that's your answer
Please help!!!
Please don't do it for the points either I will give the brainiest away.
Which expression has the least value?
−14/2
negative 14 over 2
14/−2
14 over negative 2
−9 − 1
negative 9 minus 1
−9 − (−1)
Answer:c
Step-by-step explanation:
which expression is equal to 5^6
Answer:
6-5
Step-by-step explanation:
125x125
Step-by-step explanation:
so 5^6 is 15625 so 125x125=15625
One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?
Good Luck!!
Answer:
17
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.
Week 1 Week 2 Week 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11
Which salesman had the highest total earnings for the three-week period represented in the table?
Salesman A
Salesman B
Salesman C
salesman c makes the most 2700
salesman b makes the second most with 2665
salesman c makes the least with 1680
answer salesman c
make brainliest plz
The salesman that has the highest total of earnings for the three-week period is Salesman C. Give the other answerer the brainliest. :)
In slope-intercept form, write the equation of the line that passes through points (6, -1) and (3, -4).
Use an algebraic approach and show your work in order to earn full credit.
Please hurry and do all of them please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 50 points
Answer:
There is no picture
Step-by-step explanation: