In Alana's math class, there are 12 boys and 13 girls. What is the ratio of boys to girls? A 12 13 B. 13 12 C 12 25.
Answers
Answer:
A
Step-by-step explanation:
there are 12 boys and 13 girls so the ratio of boys to girls is 12:13.
hope this helps!
Related Questions
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Answers
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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the bottom angle is also 45 could some one answer this for me
Answers
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
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8.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = −2x2 + 2x − 4
C. y = 4x2 + 2x − 4
D. y = −4x2 − 2x − 4
Answers
Answer: y= 4x² +2x -4
C. y = 4x2 + 2x − 4
Step-by-step explanation: f(x)=4x^2+2x-4
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
...............................................................................................................................................
Answer:
y = 4x² + 2x − 4
Step-by-step explanation:
The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.
y = 4x² +2x -4
There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...
y = 4x² +2x -4 . . . . . as above
...............................................................................................................................................
portions Summativo (2021) / 2 of 15
The bag of pretzels contains four pounds. Two pounds were eaten on Monday, and 6 ounces were eaten on Tuesday. How many ounces of pretzels remain in
the bag? (1 pound = 16 oz.)
Answers
Answer:
72 full bags
Step-by-step explanation:
A pound is 16 ounces
22.75 lbs * 16 =364 ounces
Take the total ounces and divide by the ounces per bag
364 ounces/5 ounces per bag
72.8 bags
72 full bags, 1 bag 4/5 full
Round down since the decimal is a partially filled bag
72 bags
72 full bags
Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.
Answers
Answer:
y = -7/4
Step-by-step explanation:
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
Solve for x...............
Answers
Answer:
x = 12 degrees
Step-by-step explanation:
They all have to add up to 360, so:
\(5x + 4 + 4x+9+7x+4+9x-6+4x+1=360\\29x + 12 = 360\\29x = 348\\x = 12\)
a company that makes hair care products had 5,000 people try a new shampoo. Of the 5,000 people 30 had a mild allergic reaction. What percent of the people had a mild allergic reaction.
Answers
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p
Answers
Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.
Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.
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the complete question is
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain
It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.
What is Momentum ?
The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .
So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,
whereas the object with 0 velocity will only have No (zero) momentum if the mass is also 0 .
Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .
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what fraction does each get if six people share one whole pizza
Answers
Answer:
Does it say how many peices the pizza has? (if not then 1/6 ^^)
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
Answers
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.
The number of minutes to read 6.25 pages will be given as,
⇒ 6.25 x 0.8
⇒ 5 minutes
The number of minutes to take the test will be given as,
⇒ 5.5 - 5
⇒ 0.50 minute
⇒ 0.50 x 60
⇒ 30 seconds
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
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PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%
Answers
the answer is b
cccxcxcxcxcxzczczxc
The percentage of the rate of decrease in the medication will be 75%. Option A is correct.
What is an exponential function?The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.
It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.
f(x) = 500(0.75)ˣ
Compare the function with the standard function as
y=baˣ
Where b is the constant value, a is the percent of the rate of decrement and x is the time period,
The value of a for the given function will be 0.75. The value is in percentage form and can be written as,
=0.75 ₓ 100
=75%
Thus, the medication's rate of decline will be 75%. Option A is correct.
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Which expression is a simplified form of –10g – 4h^2 + 15g – 8h^2 – 4?
a. -12h^2 + 25g-4
b. 4h² + 25g-4
c. -12h² + 5g - 4
d. none of the above
Answers
The required simplified expression is given as -12h² + 5g - 4. Option C is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expressions
y = –10g – 4h² + 15g – 8h² – 4
y = -4h² - 8h² -10g + 15g - 4
y = -12h² +5g -4
Thus, the required simplified expression is given as -12h² + 5g - 4. Option C is correct.
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Fill in the blanks by standardizing the normally distributed variable.
Dave drives to work each morning at about the same time. His commute time is normally
distributed with a mean of 40 minutes and a standard deviation of 5 minutes. The percentage of
time that his commute time is less than 44 minutes is equal to the area under the standard normal
curve that lies to the __of_
left, -0.8
Oright, 0.8
Oright, 1
left, 0.8
Previous
Next >
Answers
Answer:you know how to get it look it up :D
Step-by-step explanation:
Give me big brain plz
This graph shows a proportional relationship.
What is the constant of proportionality?
Answers
The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.
The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.
To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.
For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.
In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
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Factorize this does it have Any breaking form??
4a^2+4a-5
Answers
Answer:
\((2a + 1+\sqrt{6})(2a + 1-\sqrt{6})\)==========================
Identities we will use:
\(a^2+2ab+b^2=(a+b)^2\)\(a^2-b^2=(a+b)(a-b)\)===========================
Given expression:
\(4a^2+4a-5\)Factorize it by completing the square and setting the difference of squares:
\(4a^2+4a + 1-6=\)\((2a)^2+2*1*2a + 1^2-6=\)\((2a+1)^2-6=\)\((2a + 1+\sqrt{6})(2a + 1-\sqrt{6})\)What is the solution to the equation 8b+32=104?
Answers
Answer: the answer is b=9
Step-by-step explanation:
Step 1: Subtract 32 from both sides.
104-32= 72
Step 2: Divide both sides by 8.
72 divided by 8 is 9
therefor the answer is 9
prove that it is congruent
Answers
Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
Hi! Can someone help, please with a cherry on top?
Answers
Answer:
b bbb bbhdixbxidndidjd
Hakim is saving money to buy a new bicycle. So far, he has saved $12. This amount is 8% of the amount he needs to buy the new bike. What is the cost of the bicycle?
Answers
Answer:
150 hope this helps
You recorded the actual expenses you incurred for a previous month in the above table. Determine your monthly budget based on the expenses given. a. $2,298.45 c. $2,205.24 b. $2,376.76 d. $1,879.12
Answers
Answer: Therefore, the closest option to the monthly budget based on the expenses given is (a) $2,298.45.
Step-by-step explanation:
$1,200.00 (rent) + $245.60 (electricity) + $80.00 (gas) + $60.00 (water) + $200.00 (groceries) + $150.00 (dining out) + $100.00 (entertainment) + $72.85 (internet) + $100.00 (miscellaneous) = $2,208.45
what is the surface area for this figure
Answers
The surface area of the triangular prism is 313.47 cm².
Given is a triangular prism, we need to find the surface area,
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.
Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.
so, the surface area of a triangular prism =
perimeter × length + 2 × base area
So,
SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9
= 167.67 + 145.8
= 313.47
Hence the surface area of the triangular prism is 313.47 cm².
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Based on the graph how many bottles will be filled in 80 seconds? 
Answers
Answer:
Below
Step-by-step explanation:
Find unit rate (since it starts at 0,0)
at 45 seconds it is 900 bottles
900 bottles / 45 seconds = 20 bottle / sec
20 bottles / sec * 80 sec = 1600 bottles
w=32-0.05n what is the glass tanks volume
Answers
The equation W = 32 - 0.05n represents the volume of water used, the glass tank's volume will be equal to W plus the volume occupied by the marbles.
In the given equation W = 32 - 0.05n, W represents the volume of water (in liters) Andrei uses, and n represents the number of marbles used. We can interpret this equation as follows: as Andrei increases the number of marbles used (n), the volume of water required (W) decreases.
To determine the glass tank's volume, we need to consider the relationship between the volume of water used and the number of marbles used. We can rearrange the equation to solve for n:
W = 32 - 0.05n
0.05n = 32 - W
n = (32 - W) / 0.05
The volume of the glass tank can be inferred from the equation, as the total volume will be the sum of the volume occupied by marbles and the volume occupied by water.
If we assume that the volume occupied by the marbles is constant, then the remaining volume in the tank will be filled with water. Therefore, the glass tank's volume can be represented as:
Glass Tank Volume = Volume of Water (W) + Volume of Marbles
The given equation W = 32 - 0.05n represents the volume of water used based on the number of marbles, but it does not directly provide information about the glass tank's volume. Further information about the marbles or the tank's dimensions is required to determine the glass tank's volume accurately.
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I REALLY NEED HELP WITH THIS STATISTICAL QUESTION CAN SOMEONE PLEASE HELP ME
Answers
Answer:
ill help u if you answer my recent questing
Step-by-step explanation:
HELP HELP PLEASE I NEED HELP
Answers
Answer:
FALSEStep-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:order of PEMDAS
parenthesesexponentmultiplication ordivisionadditionsubtractionleft to rightlet's solve:L.H.S=\( \sf simplify \: divition: \\ \tt 14 + 33 + 0.4\)\( \sf simplify \: additio n : \\ \tt 47.4\)≠R.H.Stherefore
the equality is falsea political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. at the end of the questionnaire is an (optional) invitation to donate money to the political action committee. which of the following statements about this survey is true?
A) The survey results are invalid because it’s impossible to word questions about politics without creating bias.
B) The survey results are invalid because only surveys conducted by phone are free from bias.
C) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money.
D) The survey results will overestimate support for this political action committee in the entire population because people more likely to respond if they are prepared to donate money.
E) Since the survey was sent to randomly-selected households, it should be free of bias.
Answers
Option c; The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money. This is the correct statement about the survey.
Given,
A political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. at the end of the questionnaire is an (optional) invitation to donate money to the political action committee.
We have to find the correct statement about the survey from the given options;
Because respondents are less inclined to support a group that solicits donations, the survey results will understate public support for this political action committee.
The correct statement about the survey is option c;
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What number comes next in the sequence?
1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Answers
Answer:
55
Step-by-step explanation:
1+1 = 2
1+2 = 3
2+3 = 5
3+5 = 8
5+8 = 13
8+13 = 21
13+21 = 34
21 +34 = 55
PLEASE GIVE BRAINLIEST
A certain college had 3,000 students enrolled in
2015. The college predicts that after 2015, the
number of students enrolled each year will be 2%
less than the number of students enrolled the year
before. Which of the following functions models the
relationship between the number of students
enrolled, f (x), and the number of years after 2015,
x?
A. f(x) = 0.02x(3000)*
B. f(x) = 0.98x(3000)*
C. f(x) = 3000(0.02)*
D. f(x) = 3000(0.98)*
Answers
The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x, is D. f(x) = 3000(0.98)*.
What is a function?Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).
There are four main types of mathematical functions, including:
Constant Function, example, the polynomial function of degree zero.Linear Function, for example, the polynomial function of degree one.Quadratic Function, for example, the polynomial function of degree two.Cubic Function, the polynomial function of degree three.The number of students enrolled in 2015 = 3,000
The annual decrease in students enrollment = 2%
Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.
Let the number of years after 2015 = x.
Thus, the correction function is D. f(x) = 3000(0.98)*.
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. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answers
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.