Algebraic expression to represent the given situation would be, P = 2N - 7
What is algebraic expression?
When we utilize numbers and words to solve a mathematical problem, we are using algebraic expressions.
Let P represent the number of pennies in Greg's pocket.
We know that the number of pennies is 7 less than twice the number of nickels, which can be written as:
P = 2N - 7
This expression represents the number of pennies in terms of the number of nickels.
Therefore, Algebraic expression to represent the given situation would be, P = 2N - 7
To know more about algebraic expression visit,
https://brainly.com/question/4344214
#SPJ1
Solve the system by substitution.
Answer:
x=3
y=-34
this should be correct
Helppp
Find the radius of a circle which has a sector area of 9pi whose central angle is 90 degrees.
Explanation:
90/360 = 1/4
We have 1/4 of a pizza here. This slice is equal to an area of 9pi square units. The full pizza is 4*9pi = 36pi square units.
Use the circle area formula to determine r.
A = pi*r^2
36pi = pi*r^2
36 = r^2
r = sqrt(36)
r = 6
The circle has radius 6 units.
You examine a contemporary DNA sculpture. You use a
curdboard square to line up the top and bottom of the sculpture with your eye, as shown at the left. Approximate the height of the sculpture
To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.
What is DNA?
DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.
To learn more about DNA:
brainly.com/question/264225
#SPJ1
The number of people signed up for a bus trip increased from 32 to 45.what is the percent increase round to the nearest percent
Answer:
41
Step-by-step explanation:
You got to first divide 45 by 32. Which is 1.40625 so 1.40625 - 1 = 0.40625 x 100 = 40.625. Round to the nearest whole percent ... 41
How to Calculate the Moment of Inertia for a Cylinder?
The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:
I = (1/2) × m × r²
where:
I is the moment of inertia of the cylinder
m is the mass of the cylinder
r is the radius of the cylinder.
Here are the steps to calculate the moment of inertia for a cylinder:
Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:
m = density × volume
Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.
Substitute the values of m and r into the moment of inertia formula:
I = (1/2) × m × r²
Calculate the moment of inertia using a calculator.
Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.
Learn more about inertia here: brainly.com/question/30459596
#SPJ4
The graph below shows the cost of college tuition per credit hour at a local community college.
(graph in image)
Write the equation in slope-intercept form for the cost of college tuition in terms of the number of credits. Then, complete the table of values for the function.
y = __x + __
How much money, y, will it cost to take 12 college credits, x?
It will cost $___.
Answer:
y = 350x + 225
It will cost $4425 for 12 credits
Step-by-step explanation:
From the two points shown in the graph, we can write the equation of the line.
(5, 1975), (8, 3025)
slope = m = (y_2 - y_1)/(x_2 - x_1) = (3025 - 1975)/(8 - 5) = 1050/3 = 350
y = mx + b
y = 350x + b
1975 = 350 × 5 + b
b = 225
The equation is
y = 350x + 225
For 12 credits, x = 12.
y = 350 × 12 + 225
y = 4425
Answer: It will cost $4425 for 12 credits
If you were given the choice of between more initial zombies, but a slower growth rate or fewer initial zombies, but a greater growth rate, which would you pick and why? use at least 3 of these words in the answer, initial value, rate of change, exponential growth or exponential decay.
I would chose more initial zombies, but a slower growth rate because when they grow stronger, you get stronger so you have a better chance of survival if their development rate is gradual, giving you time to collect weapons and construct a shelter.
What is growth rate?Growth rate refers to the percentage increase or decrease in a particular variable over a specific period of time. It is commonly used in finance, economics, and business to describe the rate of change of various economic indicators such as gross domestic product (GDP), population, revenue, profit, and so on.
To calculate the growth rate, you need to divide the difference between the final value and the initial value of the variable by the initial value, and then multiply the result by 100 to express it as a percentage. The formula for growth rate is as follows:
Growth rate = ((Final value - Initial value) / Initial value) x 100
Learn more about growth at:
https://brainly.com/question/27161222
#SPJ1
Arrange the following decimals in ascending order.
4. 7569 ; 47. 569 ; 4.9675 ; 4.0007 ; 47. 965 ; 47.005 ; 4.5
Answer:
4.0007, 4.5, 4.7569, 4.9675, 47,005, 47.569, 47.965
Step-by-step explanation:
If someone has done this before please help me.
The prove is as follows
Statement Reason
line BC || line DA Definition of parallelogram
Draw line AC Unique line postulate
AC = CA Reflexive property (common sides)
∠BAC = ∠DCA Alternate interior angles
∠BCA = ∠DAC Alternate interior angles
Δ ABC ≅ Δ CDA ASA triangle postulate
AB ≅ CD CPCTC theorem
BC ≅ DA CPCTC theorem
What is ASA postulate?The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.
Learn more about CPCTC at:
https://brainly.com/question/6076251
#SPJ1
In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race time
Answer: Let's call the number of bananas your character slipped on as "x". Then, the total points from slipping on bananas would be -3x. And since the total points from slipping on bananas during one race were at most -27, we can write an inequality to represent this:
-3x ≤ -27
Now we'll solve for x:
Divide both sides by -3:
x ≥ 9
So, the least number of bananas your character slipped on is 9.
To find the least number of seconds of race time, we need to multiply the number of bananas by 2 seconds per banana:
9 bananas * 2 seconds/banana = 18 seconds
So, the least amount of race time your character took to slip on bananas is 18 seconds.
Step-by-step explanation:
What is the value of 30 ml in teaspoon?
The conversion from ml to teaspoon is 1 ml = 0.202884 tsp. This means that 30 ml is equal to 6.08652 teaspoons.
This conversion can be calculated by multiplying the volume in ml with 0.202884. The formula for this conversion is Volume (tsp) = Volume (ml) x 0.202884. For example, if the volume is 30 ml, the calculation would be 30 ml x 0.202884 = 6.08652 tsp. This means that 30 ml is equal to 6.08652 teaspoons.To convert between other units of volume, such as liters and gallons, the conversion factor must be changed. For example, to convert from liters to teaspoons, the conversion factor would be 0.0147867. To convert from gallons to teaspoons, the conversion factor would be 76.7526. It is important to remember that the conversion factor must be changed depending on the units being converted.In conclusion, 30 ml is equal to 6.08652 teaspoons. The conversion from ml to teaspoon is done by multiplying the volume in ml with 0.202884. To convert between other units of volume, the conversion factor must be changed.
Learn more about Volume here:
https://brainly.com/question/12237641
#SPJ4
How long will it take Ramon to read the entire novel if he continues to read his current rate
Based on the provided information, a. Ramon reads faster and b.it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.
To answer this question, we need to calculate the reading rate of both Skyler and Ramon, and then compare them to see who reads faster. We also need to use Ramon's reading rate to calculate how long it will take him to read the entire novel.
a. To calculate Skyler's reading rate, we can divide the number of pages she has read by the number of hours she has spent reading:
Skyler's reading rate = 145 pages / 5 hours = 29 pages/hour
Similarly, we can calculate Ramon's reading rate:
Ramon's reading rate = 124 pages / 4 hours = 31 pages/hour
Since Ramon's reading rate is higher than Skyler's, Ramon reads faster.
b. To calculate how long it will take Ramon to read the entire novel, we can use his reading rate and the total number of pages in the novel:
Time = Total number of pages / Reading rate
Time = 520 pages / 31 pages/hour = 16.77 hours
So, it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.
In conclusion, Ramon reads faster than Skyler, and it will take him approximately 16.77 hours to read the entire Vigo the Vampire Hunter novel at his current reading rate.
Note: The question is incomplete. The complete question probably is: The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours. a. Who reads faster, Skyler or Ramon? b. How long will it take Ramon to read the entire novel if he continues to read at his current rate? Explain.
Learn more about Rate:
https://brainly.com/question/4895463
#SPJ11
The probability of
A video game randomly chooses your car color and type.
getting a
red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You a get a red car.
Event B = You get a convertible.
A and B are independent events if
• A. The probability of getting a red car or a convertible is 0.10.
• B. The probability of getting a red convertible is 0.
• C. The probability of getting a red convertible is 0.10.
• D. The probability of getting a red car or a convertible is 0.65.
Answer:
The answer is C, as you'd need to multiply the chance of getting a convertible by the chance of getting a red car, or vice versa.
Step-by-step explanation:
Notice in A it says OR, meaning that it can't be both red and a convertible. B would be impossible, and D would be adding and not multiplying, so C would be the answer. 0.40*0.25=0.10
Solve for x show proofs
The value of the hypotenuse , x is 19.2
How to determine the value of the hypotenuse , xFrom the question, we have the following parameters that can be used in our computation:
Rise = 17
Length = 9
The value of the hypotenuse , x is calculated as
x^2 = Rise^2 + Length^2
Substitute the known values in the above equation, so, we have the following representation
x^2 = 17^2 + 9^2
So, we have
x^2 = 370
Take the square root of bpth sides and evaluate
x = 19.2
Hence, the value of x is 19.2
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
A teacher charges $2 for a
pencil to student who forgot to
bring one to class. If Nelson was
charged at least $30, how many
times did he forget his pencil?
Answer:
15 or more times
Step-by-step explanation:
30/2=15. It says that at least so 15 or more
Using the metric system, a ___ is 10 of a unit? A. Kilo B. Hecto C. Deka D. Base number
Using the metric system, a Deka is 10 of a unit. In the metric system, the prefix "deka" (also written as "deca") represents 10 of a unit. So, the correct option is C.
The metric system is an internationally recognized system of measurement that is used in many countries around the world. It is also known as the International System of Units (SI), and it is based on a decimal system, meaning that units are related to each other by powers of 10.
The metric system has a set of base units that are used to measure different types of quantities. The base units are:
Meter (m): used to measure length or distance
Kilogram (kg): used to measure mass or weight
Second (s): used to measure time
Each base unit has a set of prefixes that can be used to create larger or smaller units. These prefixes are based on powers of 10, and they are added to the base unit to indicate the size of the unit. Here are the most common prefixes and their meanings:
Kilo- (k): 1000 times the base unit (e.g., 1 kilogram = 1000 grams)
Hecto- (h): 100 times the base unit (e.g., 1 hectometer = 100 meters)
Deka- (da): 10 times the base unit (e.g., 1 dekagram = 10 grams)
Using these prefixes, you can create units that are appropriate for the quantity you are measuring.
To learn more about metric system click on,
https://brainly.com/question/13209030
#SPJ4
independent vairable can change what?
An independent variable is a variable that can be changed or manipulated in a scientific experiment.
What is independent variables?Independent variables are variables in an experiment or research study that are independent of other variables, meaning they are unaffected by the other variables in the experiment. Independent variables are often manipulated by the researcher and are used to observe the effect on a dependent variable. Examples of independent variables include the type of treatment, the level of education, the amount of money offered, and the type of incentive.
It is used to determine the effect that the change has on the dependent variable, which is the variable being tested and measured in the experiment. By changing the independent variable, researchers can observe how the change affects the dependent variable. Examples of independent variables include the amount of light, temperature, time, type of material, and other factors that could influence the outcome of the experiment.
To know more about independent variables click-
https://brainly.com/question/25223322
#SPJ1
what is 250 seconds in minutes
We know that 60 second is equal to 01 Minutes.
and 90 second is equal to 01 and half minutes.
Therefore, 04 minutes and 10 seconds consists 250 second.
Second:
The second is the critical unit of time. The default unit of time in the SI system of units. It can be defined as the time required for an electromagnetic field to propagate through a vacuum of 3 x 10 5 km.
1 solar day consists of 86,400 seconds. One minute is 60 seconds.
The second is not small enough and is limited to use by scientists and engineers, so we got a smaller unit like this:
1 millisecond equals 10 -3 seconds.1 microsecond, equal to 10 -6 seconds.1 nanosecond, 10 -9 seconds.10 -1 picosecond equal to 12 seconds.Minutes:
Minutes are a significant unit of time. Equal to 60 seconds. One hour includes 60 minutes. Minutes can be expressed as min. Included in the SI measurement system.
According to the Question:
250 seconds = 4 minutes and 10 seconds.
To obtain this result proceed as follows:
Divide 250/60, take the integer part of INT(250/60) and write it as minutes: 4.
Calculate the remainder, MOD(250,60), and write it down as seconds: 10.
Proof: (4 × 60) + 10 = 250.
Learn more about minutes:
https://brainly.com/question/15600126
#SPJ4
Name the segments in the figure below.
**SCREENSHOT INCLUDED**
The segments in the figure are:
segment QT
segment QR
segment QS
segment RS
segment ST
segment RT
How to differentiate between a ray and a line?A line is a straight path of points that has no beginning or end.
A ray is a portion of a line which has one endpoint and extends forever in one direction.
Note: the arrow is an indication no endpoint.
Let's put the definitions:
Line QT (lines are bound by two arrows pointing left and right)
ray ST (rays are bound by a dot and an arrow)
ray RT
ray QT
ray TQ
ray SQ
ray RQ
segment QT (segments are bound by two dots)
segment QR
segment QS
segment RS
segment ST
segment RT
Check the attached image for the correct selection
Learn more about rays and lines on:
brainly.com/question/24217504
#SPJ1
PLS HURRY! Q3. What is the slope and y-intercept of the linear function?
The slope is ___ and the y-intercept is ____ .
The required slope of the linear function is $30, and the y-intercept is $75.
What is slope-intercept equation of line?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
According to question:To find the slope of the linear function, we need to calculate the change in cost divided by the change in time.
Change in cost = $285 - $105 = $180
Change in time = 7 - 1 = 6
Slope = Change in cost / Change in time = $180 / 6 = $30
To find the y-intercept, we can use the point-slope form of a linear equation, y = mx + b, where y is the cost, x is the time, m is the slope, and b is the y-intercept.
Using the point (1, $105), we can substitute x = 1 and y = $105 into the equation and solve for b:
$105 = $30(1) + b
b = $105 - $30 = $75
Therefore, the slope of the linear function is $30, and the y-intercept is $75.
The linear function can be written as: y = $30x + $75, where x is the number of months of membership and y is the cost of the membership.
To know more about Equation of line visit:
brainly.com/question/21511618
#SPJ1
10x-9y=46 and -2x+3y=5 solve using elimination
Answer:
x = 15.25
y = 71/6
Step-by-step explanation:
10x -9y = 46
-2x + 3y = 5
Time the second equation by 5
10x - 9y = 46
-10x + 15y = 25
6y = 71
y = 71/6
Now put 71/6 back in for y and solve for x
10x -9(71/6) = 46
10x -106.5 = 46
10x = 152.5
x = 15.25
Let's check
-2(15.25) +3(71/6) = 5
-30.5 + 35.5 = 5
5 = 5
So, x = 15.25 and y = 71/6 is the correct answer.
Keenan went out in his sailboat on Lake Tahoe one Sunday afternoon. He sailed at 5 miles per hour for the trip out. He sailed twice as fast on the trip back. The entire trip took 6 hours. How far out did he go on the sailboat?
The distance covered is. 90 miles
DistanceSpeed is the distance an object travels in a given time.
This is represented as
Speed = Distance ÷ Time
We can also use the speed formula to calculate the distance or time by substituting the known values in the formula for speed and further evaluating,
Distance = Speed × Time or,
Time = Distance/Speed
To find the distance covered, we find the total speed
= 5 + 10(twice as fast on the trip back)
= 15
Distance = speed x time
= 15mph x 6hours
= 90miles
To learn more visit https://brainly.com/question/10113134
#SPJ1
Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus.
Consumer surplus $5 as we solve the Q by given data
Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.
Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
Consumer Surplus = Willingness to Pay - Price of the Good.
Item Price = $35 - $10 = $25
$30 - $25 = $5
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
know more about consumer surplus click here;
https://brainly.com/question/14852681
#SPJ4
14. A box of mineral water contains 24 bottles from a given factory. A woman bought 135 boxes from the company. If each bottle of water has a mass of 728g, find the total mass in kilograms of all the 135 boxes of water, correct to 1 decimal place.
The total mass of the 135 boxes that the woman bought is 2358.7 kg
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Each bottle of water has a mass of 728g. A box of mineral water contains 24 bottles from a given factory, hence:
Mass of each box = 24 bottles * 728 g per bottle = 17472 g
The woman bought 135 boxes, therefore:
Total mass of boxes = 135 boxes * 17472 g per box = 2358720 g
But 1 kg = 1000 g
2358720 g = 2358720 g * 1 kg per 1000 g = 2358.7 kg
The total mass is 2358.7 kg
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
4. Greta has finished reading 15 pages from a 20-page
magazine article. Which decimal represents the
fraction of the 20 pages Greta read?
A. 0.15
B. 0.35
C. 0.75
D. 1.33
Answer: C. 0.75
Step-by-step explanation:
formulate 15 ÷ 20
= 15/20
= 3/4 (convert 3/4 to a decimal)
= 0.75
Solve for “x” (round your answer to the nearest tenth).
8
8.2
9
16
The value of x in the triangle is 8.2 units
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
Angle = 12 degrees
Hypotenuse = x
Length = 8
The length of hypotenuse, x is calculated as
cos(12) = 8/x
Make x the subject of the formula
x = 8/cos(12)
Evaluate the expression
x = 8.2
Hence, the value of x is 8.2 units
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
now about 1997 consumption of oil click here;
https://brainly.com/question/26509694
#SPJ4
Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If
the diagonal of the table measures 43", is the table square? A table which is "square" has right
angles at the corners.
No, the table is not a square.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Given that, Seth made a small rectangular table having sides 36" and 18", and the diagonal measures 43",
Squares has congruent sides,
But here the sides are 36" and 18"
Hence, the table is not a square.
Learn more about squares, click;
https://brainly.com/question/14198272
#SPJ9
There are only Year 10 pupils,
Year 11 pupils and Year 12
pupils in a group
The ratio of Year 10 to Year 11
is 1 : 40
The ratio of Year 11 to Year 12
is 10: 9
Find the ratio Year 10: Year
11: Year 12
Give your ratio in its simplest
form with integer parts.
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
What is ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The ratio of Year 10 to Year 11 is 1: 40. Then the ratio is given as,
y₁₁ / y₁₂ = 1/40
y₁₁ / 1 = y₁₂ / 40 ...1
The ratio of Year 11 to Year 12 is 10: 9. Then the ratio is given as,
y₁₂ / y₁₃ = 10 / 9
y₁₂ / y₁₃ = 40 / 36
y₁₂ / 40 = y₁₃ / 36 ...2
From equations 1 and 2, then we have
y₁₁ / 1 = y₁₂ / 40 = y₁₃ / 36
y₁₁: y₁₂: y₁₃ = 1: 40: 36
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
More about the ratio link is given below.
https://brainly.com/question/13419413
#SPJ9
Write a function that models y in terms of x. Round any coefficients to the nearest tenth.
X 0 5 10 15 20
y 0 4.02 5.69 6.97 8.05
y= ?
The exponential equation representing the given table is -
y = 2.84(1.072)ˣ.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a function table as shown in below -
{X} 0 5 10 15 20
{Y} 0 4.02 5.69 6.97 8.05
Let the expression be -
y = A(B)ˣ
At {x} = 5, y = 4.02.
We can write -
4.02 = A(B)⁵ ... Eq { 1 }
At {x} = 10, {y} = 5.69
We can write -
5.69 = A(B)¹⁰ ... Eq { 2 }
Refer to the graph. The point of intersection represents -
A = 2.84
B = 1.072
The equation would be -
y = 2.84(1.072)ˣ ... Eq { 3 }
Therefore, the exponential equation representing the given table is -
y = 2.84(1.072)ˣ.
To solve more questions on functions & expressions, visit the link below
brainly.com/question/17613163
#SPJ1