It is correct
Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.
Answer:
The cost of one drink is $5
Step-by-step explanation:
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
Which expressions are equivalent to 5 the power of 18
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
For the following right triangle, find the side length x.
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
What the word please. Identify the vocabulary word that matches the picture.
Answer:
Step-by-step explanation:
BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.
The key word is complementary. The angles are <CBA and <DBA are complementary.
Answer:
Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.
Step-by-step explanation:
Which one?
A. B. C. or D?
The answer is to the question is c.11
A boy's mark for a test is 18 out of a total of 30 marks. If the
test had been marked out of 40 what would the boy's mark have
been?
Please help me, with explanation. Thank you<3
Answer:
It would be 18/40 and his grade would be a 45%
Answer:
24
Step-by-step explanation:
18/30×40=24
Question 9 (1 point)
The histograms and summary statistics summarize the data for the number of hits in the season by baseball players
in two leagues. Each data set contains one outlier. What are the values of the two outliers? Explain how each value
is determined to be an outlier.
Some summary statistics for the number of hits by players in each league.
mean median standard deviation minimum Q1 Q3
maximum
league A 151.12 148 26.83
29
136 167 207
league B 163.25 157 24.93
136 145 178 256
Plsss helppp
Answer:
Step-by-step explanation:
League A League B
151.12 163.25
148 157
26.83 24.93
29 136
136 145
167 178
207 256
League A in ascending order :
26.83 , 29 , 136, 148 , 151.12 , 167,207
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=148
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 26.83 , 29 , 136, 148
n = 4
Q1=82.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 148 , 151.12 , 167,207
n = 4
Q3=159.06
IQR = Q3-Q1=159.06-82.5=76.56
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](82.5-1.5\times 76.56,159.06+1.5\times 76.56)[/tex]
(-32.34,273.9)
So, There is no outlier
Maximum = 207
2)
League B in ascending order :
24.93,136,145,157,163.25,178,256
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=157
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 24.93,136,145,157
n = 4
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5[/tex]
Q1=140.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 157,163.25,178,256
n = 4
Q3=170.625
IQR = Q3-Q1=170.625-140.5=30.125
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](140.5-1.5\times 30.125,170.625+1.5\times 30.125)[/tex]
(95.3125,215.8125)
24.93 and 256 are outliers
Maximum = 256
HELP PLEASE!!!
1. what's x if
18=6x
2. How do I change my username here on brainly?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Simply divide both sides of the equation by 6 and it'll be the answer.
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
∠ Q = 75°
Step-by-step explanation:
Since PR and PQ are equal then the triangle is isosceles, thus
the base angles R andQ are congruent
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 15 + 2x + 15 = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°
Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.
Answer:
120 square inches
Step-by-step explanation:
From the above question, we are told that:
Rectangle ABCD is similar to Rectangle WXYZ .
The area of ABCD is 30 square inches.
We are also given the ratio of their side length = 1/2
To the find the area of the second rectangle, the scale factor = k² is required where:
k = ratio of the side lengths
Let us represent the area of the.secind Rectangle as = x
Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.
Hence
30/x = k²
30/x = (1/2)²
30/x = 1/4
We cross Multiply
= 30 × 4 = x
x = 120 square inches.
Therefore, the area of Rectangle WXYZ is 120 square inches.
also need help with this question
Answer:
Using PEDMAS, you would have to do the parentheses part first(you would multiply 5 by 4 and 5 by -1.5x.
Step-by-step explanation:
A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.
Question 1
Part A
Where is the ant on the number line now?
Enter the correct answer in the box.
Answer:
Position = -5
Step-by-step explanation:
The number line is not shown, however the question can still be answered.
Given
Start Point: +2
Left Movement: 3.5cm and 7.9cm
Right Movement: 4.8cm
Required
Determine the Ant's position
To do this, we treat all left movements as negative and all right movements as positive.
So, we have:
Position = 2 - 3.5 - 7.9 + 4.8
Position = -4.6
Since the number line is spaced by 1cm, we have to approximate to the nearest integer.
Position = -5
x^3 + 3x^2 + 16x + 48
Answer:
(x2 +16)⋅(x+3)
Step-by-step explanation:
Discussion For a discrete function, can the number of elements in the range be greater than the
number of elements in the domain? Explain.
Answer:
Step-by-step explanation:gdndvdsjfehsk
which of the following is equivalent to (4x^2)^3
Answer:
x=3
x=−3
Step-by-step explanation:
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
You've decided to open a checking account. You know there are a number of differences with individual banking institutions. Name at least 3 good questions to ask to get started, and explain why knowing this information is helpful. Use complete sentences.
Answer:
Step-by-step explanation:
The three best questions to ask would be the following
What are the fees?What are the bonuses and rewards?What is the interest rate?Most bank checkings account charges fees and these fees may or may not be hidden. These can include maintenance fees, overdraft fees, balance fees, etc. and can stack up if not managed correctly. Therefore it is best to know beforehand.
One of the main things that set these accounts apart between banks are the bonuses and rewards. Some banks may offer a sign-up bonus which can be 200$ or higher when opening a new account. Others may offer higher interest rates for returning customers, or even a physical reward for spending money or depositing a certain amount into the account. These are features that set the different banks apart.
Lastly, would be the interest rate. This is especially important if you have a large sum of money that will be in the account as your money can generate more money with an interest rate. Banks may offer anywhere between 1% to 3% annual interest rate. This can be a deciding factor when choosing one bank over another.
Someone helppppppppppppp
Answer:
10 and 11
Step-by-step explanation:
10 and 11.
These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.
If this helped, please rate and give THANKS!
simplify the expression 6(x+4)+1=
Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b
If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4
Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?
which could be the function graphed below?
f(x) = √x - 5+1
f(x) = √x-2
f(x) = √x
f(x) = √x+4
Answer:
Option (4)
Step-by-step explanation:
Parent function of the graph attached,
f(x) = [tex]\sqrt{x}[/tex]
If the given function is shifted by 'a' units to the left,
Rule for the transformation is,
g(x) = f(x + a)
So the transformed function will be in the form of g(x) = [tex]\sqrt{x+a}[/tex]
Therefore, from the given options, f(x) = [tex]\sqrt{x+4}[/tex] will match our requirements.
Option (4) will be the answer.
Answer:
D
Step-by-step explanation:
Simplify: 3x-4(2x-6) + 9
(GIVING BRAINLIEST TO FIRST CORRECT ANSWER)
What is the equation, in slope intercept form, for the given graph?
Answer:
y=1/2x-1
Step-by-step explanation:
0,-1
2,0
0--1 si 1
2-0 is 2
1/2
Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45
-4v5i
Step-by-step explanation:
need help with number 2 please.
Answer:
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint: combine the 2 angles and set equal to 90
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .