Final answer:
There are 45 students in the class.
Explanation:
If 18 girls represent 40% of a class, we can calculate the total number of students in the class using the concept of percentages. To find the total number of students, we set up a proportion, which is an equation that says two ratios are equivalent.
We know that 18 girls are to 40% what the total number of students is to 100%, since 100% would be the whole class.
We can express this relationship with the equation:
18 (number of girls) / (total number of students) = 40% / 100%
Using cross-multiplication, we can find the total number of students:
18 / x = 40 / 100
x = (18 * 100) / 40
x = 1800 / 40
x = 45
So, there are 45 students in the class list.
Solving systems of equations algebraically.
y = -3x + 4
y= 1
And SHOW YOUR WORK PLEASE!!!!
Answer:
x = 1
y = 1
Step-by-step explanation:
Since it gives you the value of y already, all you need to do is plug it into the equation, like so:
y = -3x + 4
1 = -3x + 4
Now, subtract 4 from both sides:
1 = -3x + 4
-4 - 4
________
-3 = -3x
Finally, divide both sides by -3:
-3 = -3x
1 = x
So now you have, x = 1 and y = 1.
Four times the square of a certain number increased by 6 times the number equals 108. Find the number
Which expression is represented by the
phrase "the square of y decreased by
quotient of 36 and 6"?
Answer: y^2 - 6
Step-by-step explanation:
We are given the statement which is:
The square of y decreased by the quotient of 36 and 6
We need to get the mathematical expression for the question.
Power 2 is used for square and
The sign "/" is used for quotient or division.
The sign "-" is used to subtract or decrease.
Using the sign above,
Square of y = y^2
Quotient of 36 and 6 = 36/6
The square of y decreased by the quotient of 36 and 6 = y^2 - 36/6
= y^2 - 6
Therefore, the required expression is:
y^2 - 6
The phrase is y^2 - 6.
The phrase "the square of y decreased by the quotient of 36 and 6" translates to the mathematical expression y2 - (36 / 6). This expression involves two operations:
Finding the square of y, which is y multiplied by itself (y2).Calculating the quotient of 36 and 6, which is 36 divided by 6, resulting in 6.Then, you decrease the square of y by this quotient, which gives you the final expression y2 - 6.
Explain when the median of a data set is a better
measure of center than the mean.
Answer:
SAMPLE ANSWER
Step-by-step explanation:
When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The median and mean are both measures of central tendency used to describe the center of a data set.
The mean is the sum of all the values in a data set divided by the total number of values, while the median is the middle value when the data set is ordered from least to greatest.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
For example, in a data set where one or a few very large or very small values are present, the mean will be influenced by these values, and will not be representative of the central tendency of the data set as a whole.
In such cases, the median is a more appropriate measure of the center as it is not influenced by outliers and better represents the "typical" value in the data set.
Thus,
When a data set is skewed or contains outliers, the median is a better measure of the center than the mean.
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Please help for 19 points if good enough
Answer:
X and triangle
A polygon is anything with straight lines and no holes
Step-by-step explanation:
Answer:
the x and triangle are polygons.
Need help... just part b
Answer:
I remember isosceles from the I sounding like eye and we have 2 eyes.
An isosceles triangle has two sides that are the same. We know the sides are the same because of the picture and if we subtract the angles 80 + 50 = 130 180-130=50 so that means that both A and C are 50 degrees so the triangle is isosceles.
My grammar isn't the best so you can make some edits but overall basically there are two sides that are the same.
Step-by-step explanation:
Which expression has the largest coefficient. Will mark brainliest. Plz include explanation.
Answer:
Expression 3
Step-by-step explanation:
State that a coefficient is a multiplicative factor, is a number in front of a variable, in some term of a polynomial.
The coefficients of the expression 3, for example, are 3, 7 and 24.
Expression 3 has the largest coefficient which is 24.
What is Expression?An expression is combination of variables, numbers and operators.
The given expressions are
Expression 1:
x+12y²+13y+30
Expression 2:
2x+14y²+11y+13
Expression 3:
3x+7y⁴+24y+12
Expression 4:
4x+13y⁵+12y+11
In the first expression the coefficients are 1,12,13.
Coefficients in 2 nd expression are 2,14,11
Coefficients in 3 rd expression are 3,7,24.
Coefficients in 4 th expression are 4, 13, 12.
By observing all the expressions we find that 24 is the largest coefficient.
24 is the coefficient of third expression.
Hence, Expression 3 has the largest coefficient which is 24.
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Complete the statement. The lines shown in the graph have the same A) x-intercept. B) y-intercept. C) equation. D) slope.
Answer:
B. Y-intercept
Step-by-step explanation:
Here's the proof!
Answer: b/y-intercept
Step-by-step explanation:
i did it and got it right
Solve equation. Justify your answer by checking your solution. -5(3m+10)+4m=126 someone please help I'm taking the unit 2b test I'm in 8th grade pass help !!
Answer: M = -16 hope this helps!!!!
Step-by-step explanation:
Use a number line to name two numbers that are the same distance apart as 3.2 and 4.4.
Answer:
3.3 and 4.5
Step-by-step explanation:
Answer:
1.2 and 2.4
Step-by-step explanation:To find the distance between the two you subtract the lesser number from the number with a higher value. In htis case, that'd be 1.2. From there you can use any number let's say 5 and add 1.2 to it, 6.2 and you'd have your two numbers, 5 and 6.2.
Two pyramids like the one below sit on top of the gates at the entrance to the bridge.
Which expression shows how to determine the minimum amount of cement used to make each of the pyramids?
1.1/3(10)(10)(12)
2.1/2(10)(10)(12)
3.4[1/2(10)(13)]+10(10)
4.4[1/3(10)(13)]+10(10)
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: , where B is the base area and h is the height.
Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.
Plug these into the equation:
Thus, the answer is A.
Hope this helps!
y = |x| translated one unit to the left 30 POINTS
Answer:
y = |x+1|
Step-by-step explanation:
To shift a function left, add inside the function's argument: f (x + b)
y = |x|
We will add 1 to x
y = |x+1|
To shift a function right, subtract inside the function's argument: f (x - b)
Answer:
y = |x+1|
Step-by-step explanation:
In y = |x|, the vertex is at (0,0)
When translated one unit left, vertex will be at (0,-1)
Equation:
y = |x - (-1)|
y = |x+1|
Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.
Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)
2
−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?
We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.
First of all, we need manipulate right side of our given equation.
We will factor out -3 from right side of equation as:
[tex](6x+5)^2-10=-3(6x+5)[/tex]
Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:
[tex](m)^2-10=-3(m)[/tex]
[tex]m^2-10=-3m[/tex]
Upon writing this equation in general form of equation, we will get:
[tex]m^2+3m-10=-3m+3m[/tex]
[tex]m^2+3m-10=0[/tex]
Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.
Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?
You have to make sure you follow this step by step
Step-by-step explanation:
Step 1: Subtract 4x from both sides
[tex]2x^2 - 4x = 4x - 4x - 7[/tex]
[tex]2x^2 - 4x = -7[/tex]
Step 2: Add 7 to both sides
[tex]2x^2 - 4x + 7 = -7 + 7[/tex]
[tex]2x^2 - 4x + 7 = 0[/tex]
Step 3: Use the Quadratic Formula
[tex]x = \frac{ -b \pm \sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x = \frac{ -(-4) \pm \sqrt{(-4)^2 - 4(2)(7)} }{ 2(2 )}[/tex]
[tex]x = \frac{ 4 \pm \sqrt{-40} }{4}[/tex]
[tex]x = \frac{4 \pm2i \sqrt{10} }{4}[/tex]
[tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]
Answer: [tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .
Answer:
First, you have to simplify the inequality and solve for x.
x + 2x + 6 < 50
3x + 6 < 50
3x < 44
x < 14 2/3
So, you now have another set of numbers, {13, 14, 15, 16, 17}, and you know x must be smaller than 14 2/3. The only two numbers in that set that works are 13 and 14, making A: {13, 14} the correct answer.
The only choice that fits is A.
Let f(x)=x2+6x+11 . What is the minimum value of the function? Enter your answer in the box.
Answer:
(
3
,
−
2
)
Step-by-step explanation:
Answer:
the answer is 2
Step-by-step explanation:
took the test
3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded
annually.
(a) Write an equation to represent the amount of money in the account as a function of time in yea
(b) Find the amount of time it takes for the account balance to reach $800.
The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.
The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.
To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.
For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.
Using n as the variable for the problem, solve for n.
Hosting a party for 24 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. n> 6
B. n<_5
C. n>_5
D. N>_6
Answer:
b
Step-by-step explanation:
thats the answer ^^^
Answer: n=6
Step-by-step explanation:
(24 divided by 8)x2
PLEASEE HELP!!!!30 POINTS
Charles plots the point with the polar coordinates (−5,−3π/4). How does he plot this point?
Charles first determines which line the angle of rotation places the point on. This line tells Charles that the point must lie in _____ a if r is positive or ____ if r is negative.
The radius of 5 tells Charles that the point lies on the fifth circle of the polar plane. The value of r is negative. Therefore, the point will lie _____ the angle of rotation.
Answer:
This line tells Charles that the point must lie in Quadrant 3 if r is positive or Quadrant 1 if r is negative.
The value of r is negative. Therefore, the point will lie in the opposite quadrant as the angle of rotation.
Step-by-step explanation:
With polar coordinates the first value represents the distance from the origin and the second value represents the rotation from 0. In this case the distance from the origin value is negative, which means it will be in the opposite quadrant to the angle of rotation.
(-5, −3π/4) results in the same point as (5, π/4)
A rotation of −3π/4 results in the same rotation as 5π/4
The rotation results in Quadrant 3 but because the distance value is negative the final resulting point is in Quadrant 1.
Sari drove 167 miles on the first day of her two-day trip. She drove 21 fewer miles the second day of her trip. What is the total number of miles that Sari drove on her trip?
If the endpoints AB of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ? AB
Answer:
(4,3)
Step-by-step explanation:
The coordinate of midpoint of two end points (x1,y1) and (x2, y2) is given by
[tex]( \frac{x1 + x2}{2} \: \: \: \: \: \frac{y1 + y2}{2} )[/tex]
Here, x1=9 y1=8
x2=-1 and y2=-2
So the midpoint of AB is
[tex]( \frac{9 + ( - 1)}{2} \: \: \frac{8 + ( - 2)}{2} \: )[/tex]
[tex] (\frac{9 - 1}{2} \: \: \frac{8 - 2}{2} \: \: ) \\ ( \frac{8}{2} \: \: \frac{6}{2} \: )[/tex]
(4,3)
Answer and Step-by-step explanation:
ps help me i ran out of points but pleaes
Answer:
a) 9^3 square root 13x. the exponents are the same so 4^3 and 5^3 become 9^3. just add the square roots since they have the same variable.
Step-by-step explanation:
Please help me with my math question
I will give brainliest!!!!!
Answer:
approx. 13.33%
Step-by-step explanation:
12 divided by 90 is 13.33333333333333 that goes on forever so just cap it at 13.33
please mark brainliest :)
Answer:
13%
Step-by-step explanation:
see how may time 12 can convert
Estimate the length. Then use cubes to measure
Answer:
10 cubes
Step-by-step explanation:
Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4
Answer:
60
Step-by-step explanation:
Which equation is represented by the graph below?
y= e^x +5
y= e^x +5
y= In x+4
y= ln x+5
Answer:
C) y= In x+4
Step-by-step explanation:
Took the test and got it right. Hope it helps
Answer: B
Step-by-step explanation:
on edg
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Answer: C
Step-by-step explanation:
First let’s identify that:
y = the kitten
x = the cat
Part 1 : The kitten weighs 3 pounds less than half the weight of Callie's cat.
We know that the kitten is half the size of the cat, which means the equation now looks like this:
x = [tex]\frac{1}{2}[/tex]y
But we also know that the kitten is 3 less than that equation, so now the equation is:
x = [tex]\frac{1}{2}[/tex]y -3
Part 2: Together the cat and the kitten weigh 18 pounds
Now, we have to use the other statement:
y + x = 18
But, that’s not one of the options, so we have to switch the x around and make it negative.
y = -x + 18
These are your answers!
The system of equations could be used to find the weight of each animal is option C.
Calculation of an equation:Since Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds.
Here we assume the kitten be x and cat be y
So, the equation should be
[tex]y = 1\div 2x - 3\\\\[/tex]
And,
y = -x + 18
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Use a net to find the surface area of the cylinder. Use 3.14 for π.
Step-by-step explanation:
Hope this helps you with this question
The surface area of the cylinder has a radius of 2 cm and a height of 5 cm is 62.8 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The surface area of the cylinder is given as
[tex]\rm Surface \ area = 2 \pi rh[/tex]
We have
r = 2 cm
h = 5 cm
Then the surface area will be
[tex]\rm Surface \ area = 2 \times 3.14\times 2\times5\\\\Surface \ area = 62.8 \ cm ^2[/tex]
More about the cylinder link is given below.
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please help. find the missing side
Answer:
x = 10
Step-by-step explanation:
This is because the formula of the area of a triangle is b x h divided by 2.
Since 8 is the base, you have to find what to multiply it by to get 80 (since 80 divided by 2 is the answer, 40).
80 divided by 8 is 10, therefore the base, or x, is 10.
You can put it in the formula to double check and it will equal 40.
Una rampa para descargar mercancía mide 2m. Si la distancia a la que se coloca la rampa es igual a la altura, ¿qué altura alcanza?
Answer:
~14.14m.
espero que esto ayude :)