Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
In one year, Linda's parents spend $2400 on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family's income? *
Answer: $200
Step-by-step explanation:
Given: In 1 year ,
Linda's parents spend $2400 on cable and internet service.
If they spend the same amount each month, Monthly payment = [tex]\dfrac{\text{Total money spent in 1 year}}{\text{Number of months in a year}}[/tex]
[tex]=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200[/tex]
Hence, the resulting monthly change in the family's income = $200
If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22
Answer:
C. 2 ( x − 3 ) = 22Step-by-step explanation:
if x = 14
2 ( x − 3 ) = 22
2 (14 - 3) = 22
2 (11) = 22
22 = 22
therefore, the answer is C.
I need help please lol
Answer:
Omg I have a test too and it's due at midnight :/
Step-by-step explanation:
brainlest for whoever gets it right
3/4 - 1 and 1/2
Answer:
-0.75
Step-by-step explanation:
Answer: the answer would be -0.75, or -3/4
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
The owner of a pet store sells 5 goldfish for $9 . What is the cost in dollars for one goldfish
Answer:
The answer is C.
Step-by-step explanation:
Took the lesson on edge 2021
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Answer:
C.
-48x7y3
Step-by-step explanation:
The next answer on edge is also C. 9a8 + 24a4 + 16
The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.
What is multiplication?Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given the two terms,
-8x⁵y² and 6x²y
If we multiply
-8x⁵y² × 6x²y = (-8)×6 × x⁵y² × x²y
⇒ - 48 × x⁵x² y²y¹
⇒ - 48 × x⁵⁺²y²⁺¹
⇒ - 48x⁷y³
Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".
For more information about multiplication,
brainly.com/question/14059007
#SPJ2
I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.
PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)
Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Answer:
The tip that the family gave the waiter is 16.69$
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
(SHOW YOUR WORK) 67.5+23.57
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
Answer:
The person above meh
Step-by-step explanation:
Answer:
b. 29
Step-by-step explanation:
Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working
Answer:
Roman civilization lasted for 985 years.
Step-by-step explanation:
Given that Roman civilization began in 509 BC and ended in 476 A.
All we have to do is to subtract -579 from 476.
i.e.
[tex]476 - (-509)[/tex]
[tex]=476+509[/tex]
[tex]=985[/tex] years
Thus, Roman civilization lasted for 985 years.
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes
A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?
Answer: 39,600
This is what the cars value is after 1 year.
Answer:
Step-by-step explanation:
45,00 -12% =39,600
the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600
which =5,400
hope this helps!
can I get brainliest please?
Solve 2 + 1/6x = -4.
X=
Please help I really need it I am in a timed test I will choose brainliest!
Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).
Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0
I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]
Step 2: Now we write the equation in slope-intercept form.
[tex]y = -4x[/tex]
Step 3: We can now change the above equation to standard form by moving variables to one side.
[tex]y = -4x\\\\4x + y = 0[/tex]
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
Answer:
9
Step-by-step explanation:
because thats the answer i just did the quiz
have a good day
The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
How to find the solution to a quadratic equation?Given the quadratic equation
(x+2)^2=a
If one of the solution is 1, then x = 1
substitute
(1 + 2)^2 = a
3^2 = a
a = 9
Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
Learn more on quadratic equation here:https://brainly.com/question/1214333
Given the following system, the x-value of the solution is -1. Solve for y.
Answer:
1. y=3
2. y=3
Step-by-step explanation:
Let's start with the first one, 2x-2y=-8...
Substitute x with -1 -----> 2(-1)-2y=-82 times -1 makes -2 so new equation is ---> -2-2y=-8Now add 2 on each side to get rid of 2 and get this ----> -2y=-6Now divide -6 by -2 to get this ----> y=3Let's start with the second one, 2x+2y=4
Substitute x with -1 -----> 2(-1)+2y=42 times -1 makes -2 so new equation is ---> -2+2y=4Now add 2 on each side to get rid of 2 and get this ----> 2y=6Now divide 6 by 2 to get this ----> y=3I hope my explanation and answer helps:)
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
Can someone plz explain I would appreciate it
Answer:
Angle of depression
Step-by-step explanation:
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
find the inverse ratio of 12:13
Answer:
13/12
Step-by-step explanation:
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
I NEED THIS FAST!
You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?
9514 1404 393
Answer:
30
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators.
Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:
LCD = 3×10 = 30
The least common denominator is 30.
__
If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.
25 POINTS!!!! AND BRAINLIEST!
1. An internet company surveyed their users. The first 25 people who responded gave the ages shown below. Answer the following questions and create a histogram to display the data.
(You may want to make a frequency table to help organize the data)
What intervals would you use to make the histogram?
Find the mean, median and mode of the data
Find the mean absolute deviation for the data
Identify skew of the data (normal or asymmetric)
Identify any peaks, gaps or clusters in the data from the histogram
Age of internet users:
25, 43, 65, 12, 8, 30, 44, 68, 18, 21, 25, 33, 37, 54, 61, 29, 31, 38, 22, 48, 19, 34, 55, 14, 21
2. What does it mean for data to have variability as it refers to statistical questions? Give an example.
A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?
Answer:
46 1/2 miles
Step-by-step explanation:
Given that:
Bus traveled at a constant speed ;
Miles traveled = 15 1/2 miles
Time taken for the travel = 1/3 of an hour
Number of miles bus will travel in 1 hours :
Let number of miles traveled in 1 hour = n
15 1/2 miles = 1/3 hour
n miles = 1 hour
Cross multiply :
1/3 * n = 15 1/2 * 1
1/3n = 31/2
Divide both sides by 1/3
n = 31/2 ÷ 1/3
n = 31/2 * 3/ 1
n = 93/2
n = 46.5 miles = 46 1/2 miles