We have the following response after answering the given question: Hence, the comparable fractions with 12 as the denominator are: 5/12= 60/144 and 1/2 and 5/6 = 10/12
What is the equation?
In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilized. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.
2 x 2 x 3 is the prime factorization of 12.
2 x 1 is the prime factorization of the number 2.
Two by three is the prime factorization of six.
The LCD is the sum of all the prime factors with the largest powers, giving us 2 × 2 × 3
5/12 = 5/(12 * 1) = 5/12 * 12/12 = 60/144
1/2 = 1/2 * 6/6 = 6/12
5/6 = 5/6 * 2/2 = 10/12
Hence, the comparable fractions with 12 as the denominator are:
5/12 = 60/144
1/2 = 6/12
5/6 = 10/12
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Please help
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 15 + 7.6n and 11 + 8n, where n is the number of
smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the large
box?
The larger box of cereal has as much cereal as
(Type a whole number.)
smaller boxes
Answer:
Step-by-step explanation:
A cereal box manufacturer changes the sizeof the box to increase the amount of cereal itcontains. The equations 12 + 7.6n and 6 + 8n,where n is the number of smaller boxes, areboth representative of the amount of cereal thatthe new larger box contains. How many smallerboxes equal the same amount of cereal in thelarger box?
Find the
1. End behavior
2. X-intercepts
3. Positive/negative
4. Multiplicity
The end behavior is that as x moves toward negative infinity, f(x) moves toward negative infinity and as x moves toward positive infinity, f(x) moves toward positive infinity. F(x) only has one x-intercept, which is x = 3.
What is the end behaviorThe given function is f(x) = -x³ + 2x² + 3
1. End behavior:
As the leading coefficient of f(x) is negative, -x^3 dominates the behavior of the function as x moves towards -∞ or +∞. Therefore, the end behavior of the function is:
As x approaches negative infinity, f(x) approaches negative infinity.As x approaches positive infinity, f(x) approaches negative infinity.2. X-intercepts:
To determine the x-intercepts of the function, we have to calculate the equation f(x) = -x^3 + 2x^2 + 3 = 0. We can factor out a common factor of -1 to simplify the equation:
-x^3 + 2x^2 + 3 = 0
x^3 - 2x^2 - 3 = 0
Applying synthetic division or long division, one of the roots of this equation is x = 3. We can then factor out (x - 3) using polynomial division to find the other two roots:
x^3 - 2x^2 - 3 = (x - 3)(x^2 + x + 1)
The factor of x^2 + x + 1 has no real roots, so the only x-intercept of f(x) is x = 3.
3. Positive/negative:
To determine the sign of f(x) for different values of x, we can look at the sign of each factor in the polynomial:
The leading coefficient of f(x) is negative, so for very large negative or positive values of x, f(x) is negative.The factor -x^3 is negative for negative values of x and positive for positive values of x.The factor 2x^2 is positive for all values of x.The constant term 3 is positive.Putting these together, we can make the following sign chart for f(x):
x f(x)
x < 0 -
0 < x < 3 +
x > 3 -
4. Multiplicity: The single root of f(x) has multiplicity 1 and is given by x = 3. This indicates that at x = 3, the graph of f(x) crosses the x-axis and switches signs.
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Find a positive value of c so that the following trinomial is factorable. x^(2)-4x+c
Find a positive value of c so that the following trinomial is factorable. [tex]x^2-4x+c[/tex], The value of [tex]c[/tex] will be given by [tex]c=4[/tex].
To find a positive value of c so that the trinomial [tex]x^2-4x+c[/tex] is factorable, we need to use the formula for the sum of two squares. This formula states that [tex](a-b)^2=a^2-2ab+b^2[/tex].
In this case, we can let [tex]a=x[/tex] and [tex]b=2[/tex], so the formula becomes [tex](x-2)^2=x^2-4x+4.[/tex]
Comparing this formula to the given trinomial, we can see that the value of c must be 4 in order for the trinomial to be factorable.
Therefore, the positive value of c that makes the trinomial [tex]x^2-4x+c[/tex] factorable is [tex]c=4[/tex].
In factored form, the trinomial becomes [tex](x-2)^2[/tex].
Answer: [tex]c=4.[/tex]
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Edgar and his older sisters, Anne and Maya, are going to visit their grandmother. Edgar is too young to drive, so Anne and Maya each drive the same amount of time to complete the 5-hour trip.
How long does each of Edgar's sisters drive?
Write your answer as a proper fraction or mixed number.
Anne and Maya drive for 2 1/2 hours.
What is mixed fraction?A mixed fraction is a combination of a whole number and a proper fraction. For example, 2 1/3 is a mixed fraction, where the whole number is 2 and the proper fraction is 1/3.
To convert an improper fraction into a mixed fraction, Divide the numerator by the denominator and write down the whole number result as the whole number part of the mixed fraction.
Write down the remainder as the numerator of the fractional part of the mixed fraction.
Here we have
Anne and Maya each drive the same amount of time to complete the 5-hour trip.
Let both of them be derived for 'x' hours
=> x + x = 5 hours
=> 2x = 5 hours
=> x = 5/2
Hence, Anne and Maya drive for 5/2 hours
Here 5/2 can be converted as 2 1/2
Therefore,
Anne and Maya drive for 2 1/2 hours.
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If X ~ Exp^) with 1 2.0. Then Markov's inequality says that P(X > 1) < a where a is (choose the closest): (A) 1.0 (B) 0.25 (C) 0.5 (D) Can't tell. Not enough info. (E) 0.75
The probability that X is greater than 1 is less than or equal to 0.5, making the correct answer (C) 0.5.
Markov's inequality states that for a non-negative random variable X and a positive number a, the probability that X is greater than a is less than or equal to the expected value of X divided by a. In mathematical terms, this can be written as:
P(X > a) ≤ E(X) / a
In this case, X follows an exponential distribution with a mean of 1/2.0, or 0.5. Therefore, the expected value of X is 0.5. If we plug in the values for X and an into Markov's inequality, we get:
P(X > 1) ≤ 0.5 / 1
P(X > 1) ≤ 0.5
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Suppose the following information is known about an LP: The extreme points of the feasible set are
(0,0),(1,0),(0,1),(1,1). The objective is to maximise f(x,y)=3x+19y. Prove that (x,y)=(1,1) is an optimal solution. (Hint: This isn't as obvious as it looks! Determine the constraint set.)
By substituting the extreme points of the feasible set into the objective function and comparing the values, (x,y)=(1,1) is an optimal solution for the given LP problem.
The given LP problem is to maximize f(x,y)=3x+19y subject to the constraint set of the feasible set. The extreme points of the feasible set are (0,0), (1,0), (0,1), and (1,1).
To prove that (x,y)=(1,1) is an optimal solution, we need to show that f(x,y) is maximized at this point. We can do this by plugging in the extreme points into the objective function and comparing the values.
At (0,0), f(x,y) = 3(0) + 19(0) = 0
At (1,0), f(x,y) = 3(1) + 19(0) = 3
At (0,1), f(x,y) = 3(0) + 19(1) = 19
At (1,1), f(x,y) = 3(1) + 19(1) = 22
From these calculations, we can see that f(x,y) is maximized at (1,1), with a value of 22. Therefore, (x,y)=(1,1) is an optimal solution for this LP problem.
In conclusion, by plugging in the extreme points of the feasible set into the objective function and comparing the values, we have proved that (x,y)=(1,1) is an optimal solution for the given LP problem.
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Graph the inequality y<-2/3x+6. (the “<“ is a less than equal to sign)
For the inequality y ≤ -2/3x + 6 the graph is plotted with the points (0, 6) and (9, 0).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The inequality y ≤ -2/3x + 6 is already in slope-intercept form (y = mx + b), where the slope is -2/3 and the y-intercept is 6.
To find some possible solutions for this inequality, we can choose any value of x and then solve for y.
Let's choose x = 0 -
y ≤ -2/3(0) + 6
y ≤ 6
So when x = 0, any y value less than or equal to 6 will satisfy the inequality.
This gives us the solution set -
{(x, y) | y ≤ 6}
Now choose a value of y to find another point that satisfies the inequality. Let's choose y = 0 -
0 ≤ -2/3x + 6
2/3x ≤ 6
x ≤ (6 × 2)/3
x ≤ 9
So when y = 0, any x value less than or equal to 0 will satisfy the inequality.
Therefore, some possible solutions for the inequality y ≤ -2/3x + 6 are -
(0, 6) and (9, 0).
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Which of the following could be classified as a POLYNOMIAL?
a) 2^x+3^2x-x
b) 5n-1
c) 2x^-3+5x^-1-x
d) 2w-2√w
c) 2x^-3 + 5x^-1 - x
A polynomial is a mathematical expression that consists of variables and coefficients, combined using the operations of addition, subtraction, and multiplication, and raised to non-negative integer powers.
Answer:
Only the (a) and (c) can be classified as polynomials here.
Reason is that a polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, but not division by a variable. A polynomial can have one or more terms, where each term contains a product of a coefficient and a variable raised to a non-negative integer power. For example, 2x^3 + 5x^2 - 3x + 7 is a polynomial with four terms.
look up for a general expression for a polynomial for more info :
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What is the current through a 2.5 ohm resistor that is connected across a 6.0 V potential difference?
The current thrοugh the 2.5 οhm resistοr is 2.4 A.
What is current?Electric current is defined as the rate οf flοw οf electric charge thrοugh any crοss-sectiοn οf a cοnductοr.
Tο calculate the current thrοugh a 2.5 οhm resistοr cοnnected acrοss a 6.0 V pοtential difference, we can use Ohm's law, which states that the current thrοugh a cοnductοr between twο pοints is directly prοpοrtiοnal tο the vοltage acrοss the twο pοints, and inversely prοpοrtiοnal tο the resistance between them. The mathematical expressiοn fοr Ohm's law is:
V = I x R
where V is the vοltage, I is the current, and R is the resistance.
We can rearrange this fοrmula tο sοlve fοr the current I:
I = V / R
Substituting the given values, we get:
I = 6.0 V / 2.5 οhm
I = 2.4 A
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A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road The time spent on the winding road was 3 hours Find the average speed on the level road the entire trip was 534 miles
The bus’s speed was on the level road was ( ) mph?
The bus’s speed on the level road was 72 mph if the bus traveled on a level road for 6 hours at an average speed of 20 miles per hour.
The given data is as follows:
The bus traveled on road time = 6 hours
Average speed = 20 miles/hour
Time spent on the winding road = 3 hours
Entire trip distance = 534 miles
The equation will be written as:
(x+20) * (6) + (x)(2) = 534
Now, "x" is the average speed on the winding road.
solving for x value,
6x + 120 + 2x = 534
8x = 534 -120
x = 414/8
x = 52
Now, we calculated the average speed for the winding road.
The average speed for the level road is calculated as:
u1 + v1 = 52 + 20 = 72
Therefore we can conclude that the bus’s speed on the level road was 72 mph.
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in the whitch of blackbird pond chapters 13-15 what causes several townsmen to gather at the wood household until late at night
Answer:
In the novel "The Witch of Blackbird Pond" by Elizabeth George Speare, in chapters 13-15, several townsmen gather at the Wood household until late at night because they suspect that Kit's grandfather, Matthew Wood, is hiding royalist sympathies. The men search through Matthew's belongings and find books and pamphlets that are considered to be treasonous, including a pamphlet by William Penn. They also find a prayer book that Matthew had brought with him from England. The men take the items and leave, warning the Woods to be careful about their political leanings. This event foreshadows the tension and conflict that will arise later in the novel between the royalists and the patriots.
Step-by-step explanation:
cuz graaa thag boys a lier da boys a lier
Find a polynomial function whose graph passes through (7,13), (9,- 11), and (0,3).
Step-by-step explanation:
I am going to assume this is a quadratic so
[tex]f(x) = {ax}^{2} + bx + c[/tex]
When 3 is c
[tex] {ax}^{2} + bx + 3[/tex]
When x is 7,
[tex]a( {7}^{2} ) + b(7) + 3 = 13[/tex]
[tex]49a + 7b = 10[/tex]
When x is 9,
[tex]a(9) {}^{2} + 9b + 3 = - 11[/tex]
[tex]81a + 9b = - 14[/tex]
We have two system, let's eliminate the b variable by multiplying the second system by
[tex] \frac{7}{9} [/tex]
[tex]63a + 7b = - \frac{98}{9} [/tex]
Bring down the first system
[tex]49a + 7b = 10[/tex]
Subtract the two system,
[tex]14a = \frac{ - 188}{9} [/tex]
[tex]a = - \frac{94}{63} [/tex]
Plugging in a, we will eventually get
[tex]b = \frac{748}{63} [/tex]
So our quadratic is
[tex] - \frac{94}{63} {x}^{2} + \frac{748}{63} x + 3[/tex]
Four different forecasts and have calculated the following MSE levels:
2 Month moving average = 4.5
3 Month moving average = 2.1
Exponential smoothing = 3.7
Exponential Smoothing with Trend = 2.45
Which forecast is best?
A. 2 Month Moving Average
B. 3 Month Moving Average
C. Exponential Smoothing
D. Exponential Smoothing with Trend
The best forecast is the one with the lowest MSE level. In this case, the "3 Month Moving Average" has the lowest MSE level of 2.1, making it the best forecast. Therefore, the correct answer is B. 3 Month Moving Average.
One common metric used to compare forecasting methods is the Mean Squared Error (MSE). The MSE measures the average squared difference between the actual values and the forecasted values, so a lower MSE indicates a better fit.
In this case, we have four different forecasting methods and their respective MSE values. The 3 Month Moving Average has the lowest MSE of 2.1, which suggests it is the best forecasting method among the four options.
Thus, the answer is B. 3 Month Moving Average.
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Out of 25 26 27 28 29 30 31 and 32 which one is a factor of 27
Answer:
27
Step-by-step explanation:
factors are numbers that divide exactly into a number , leaving no remainder.
then the only factor of 27 from the list is 27
Evaluate the expression 8 - 4x * y ^ 2 for x = 3 and y = - 2
Answer:
16
Step-by-step explanation:
8-4x times y^2, x=3 and y=-2
First, plug in both variables. Since x=3, you would substitute 4x in the equation to 4(3). You would do the same to y, but instead it would be in replace of y^2. So it would be -2^2. You now have a new equation:
8-4(3) times -2^2
Next, you start solving the equation. You should follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction). This method is sometimes controversial, but it still works for this problem.
Start by multiplying 4 times 3 which equals 12. Then I solve the exponent. The exponent -2^2 is the same as -2 times -2. The -2 is the number that gets multiplied, and the exponent is how many times -2 gets multiplied times itself. -2 times -2 is 4. You can plug your new numbers back in the equation now.
8-12 times 4
The equation is much easier to solve now. 8-12 is -4. -4 times 4 is 16.
The answer is 16.
A person walks into a insurance company looking for life insurance. If they die, their family is to receive $130,000. The insurance company calculates that their chance of dying is .0014. Round answers to two decimals if needed. What is the expected payout for the insurance company? $ If the insurance company wants to charge 15% over the expected payout, how much should the insurance company charge the person?
a) The expected payout for the insurance company is $182.
b) If the insurance company wants to charge 15% over the expected payout, the insurance company should charge the insured $27.30.
What is the expected payout?In a game of chance, the expected payout is the expected value of the game minus the cost.
For the insurance company, the expected payout is the probability-weighted value of the insurance undertaking.
The expected payout is the product of the amount to be paid to the insured family and the probability or chance of the insured dying.
The amount the insured family will receive = $130,000
The chance of the insured dying = 0.0014
The expected payout = $182 ($130,000 x 0.0014)
Charge over the expected payout = 15%
The amount the insurance company should charge the person = $27.30 ($182 x 15%)
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Question 1 (1 point
Find the value of s. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
FG L OP RS 1 00, F5=2885-37, OP-13
R
Q
The value of x in the chord is 4.8 units
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
Next, we calculate the radius using each chord using the Pythagoras theorem
Using the above as a guide, we have the following:
r² = x² + (37/2)²
r² = 13² + (28/2)²
By substitution, we have
x² + (37/2)² = 13² + (28/2)²
So, we have
x² = -(37/2)² + 13² + (28/2)²
Evaluate
x² = 22.75
Take the square root
x = 4.8
Hence, the value of x is 4.8 units
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The area of a circle is 1.1304 square kilometers. What is the circle's diameter? Use 3.14 for .
Answer:
Step-by-step explanation:
the diameter of the circle is approximately 1.2 kilometers.
We can use the formula for the area of a circle:
Area = pi x (diameter/2)^2
where pi is a constant approximately equal to 3.14, and diameter is the distance across the circle passing through its center.
We are given the area of the circle as 1.1304 square kilometers, so we can substitute this value into the formula and solve for diameter:
1.1304 = 3.14 x (d/2)^2
1.1304 = 0.785d^2
d^2 = 1.1304/0.785
d^2 = 1.440
d = sqrt(1.440)
d ≈ 1.2
Therefore, the diameter of the circle is approximately 1.2 kilometers.
In the above rectangle, what is the length of each of the longer sides of the perimeter is 36?
Answer:
Step-by-step explanation:
2(2x+2) + 2(x+4) = 36
4x+4 +2x+8 =36
6x+12= 36
6x = 36-12
6x =24
x = 4
longer side = 10
Megan And Mindy saw a plan for 2/6 of a playground they each drew a picture of the whole playground which one is NOT correct tell how you know
By answering the above question, we may state that Without having both expressions the original concept and Megan and Mindy's drawings, it is impossible to tell which drawing is mistaken.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
If Megan and Mindy both depicted the entire playground, then their pictures ought to match. Their designs ought to depict the remaining 4/6 of the playground if the plan they viewed only showed 2/6 of it.
You may assess a drawing's accuracy by contrasting it with the first design that Megan and Mindy viewed. They are correct if their designs depict the remaining 4/6 of the playground and the original plan matches. Their drawings are incorrect if they do not reflect the original design or do not depict the remaining 4/6 of the playground.
Without having both the original concept and Megan and Mindy's drawings, it is impossible to tell which drawing is mistaken.
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Of 35 cars, one-fifth are blue and the rest red. How many are red?
Answer:
28 are red
Step-by-step explanation:
(1/5) are blue. The rest are red, which would be 4/5 of the total. (1/5)+(4/5) = 1 or 100%
(1/5)*(35) = 7 are blue
(4/5)*(35 = 28 are red
--------------------
Total = 35 cars
A small kiddie pool starts with 110 gallons of water. The pool is being drained at a constant rate of 4 gallons per minute. How many minutes could have passed if the pool now has less than 74 gallons of water left? Write an inequality to represent the situation. Use x to represent the number of minutes.
Thank you sooo much if you answer this I have like five missing assignments and grades are due in two days and it takes that long for my teacher to grade it. She slow.
The number of minutes that could have passed if the pool now has less than 74 gallons of water left is greater than 9 minutes.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The amount of water remaining in the pool after x minutes is given by:
110 - 4x
We want to find the number of minutes, x, such that the pool now has less than 74 gallons of water left.
110 - 4x < 74
To solve for x, we can first subtract 110 from both sides of the inequality:
-4x < 74 - 110
Simplifying, we get:
-4x < -36
Divide both sides of the inequality by -4,
x > 9
Therefore, the number of minutes that could have passed if the pool now has less than 74 gallons of water left is greater than 9 minutes.
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Part One: Line DE is tangent to circle A at point E. If line CD = 8cm and line DE = 12cm, what is the length of line BC. (You may assume A, B, C, and D are colinear)
Part 2: What is the area and circumstance of Circle A
The length of line BC is 10cm ,The area of the circle is 78.5 cm² and The circumstance of Circle is 31.4 cm.
Part-1
To Find the length of BC, We have the lenghts of CD=8cm and DE=12cm
To find out length. We have to make a perpendicular line construction joins AE.
Triangle AED forms a right angled triangle.
As we all know pythagoras theorem.
Pythagoras formula c²=a²+b²
To findout radius of circle
Let AE=AC=r
AD=CD+AC
AD=8+r
AD²=AE²+DE²
Submit all values in the above equation.
(8+r)²=r²+12²
(a+b)²=a²+b²+2ab use the formula
64+r²+16r=r²+144
Cancel r² each other.
64+16r=144
16r=144-64
16r=80
r=5
Radius of the circle r=5cm
Therefore , the value of BC=2AC
BC=2r
BC=2*5
BC=10cm
The length of line BC is 10cm
Part-2
To find out area of the circle
We have the formula for area of circle.
Area=πr²
Area=(22/7)*5*5
Area=78.5 cm²
The area of the circle is 78.5 cm².
To find out the circumstance of Circle
We have the formula for circumstance of circle. 2πr
circumstance=2*(22/7)*5
circumstance=31.4 cm
The circumstance of Circle is 31.4 cm.
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Find the perimeter of triangle pqr
The perimeter of the triangle PQR is 309 units
Calculating the perimeter of a triangle?The figure represented in the question is a triangle
Given that the triangle side lengths are 92, 107 and 110
The total length of all sides of the triangle is equal to the perimeter of the triangle.
So, we have
Perimeter = 92 + 107 + 110
Evalyate the sum
Perimeter = 309
Hence, the perimeter is 309 units
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What is the decimal multiplier to increase by 6.1%? Give me the answer pleaseeeeee
The decimal multiplier to increase by 6.1% is 1.061.
What is multiplication ?
Multiplication is a mathematical operation used for finding the result of adding a number to itself a certain number of times. It involves multiplying two or more numbers to find their product. For example, 2 times 3 is equal to 6, written as 2 x 3 = 6. In multiplication, the numbers being multiplied are called factors, and the result is called the product. Multiplication is often denoted by the symbol "x" or a dot ".".
A decimal multiplier is a factor that is used to increase or decrease a number by a certain percentage. It is commonly used in financial calculations such as interest rates, discounts, and taxes.
To find the decimal multiplier to increase by a certain percentage, you can use the following formula:
Decimal multiplier = 1 + (percentage increase/100)
For example, if you want to increase a number by 6.1%, the decimal multiplier would be:
Decimal multiplier = 1 + (6.1/100)
Decimal multiplier = 1.061
This means that to increase a number by 6.1%, you would multiply it by 1.061. For example, if you had a number of 100, to increase it by 6.1%, you would multiply it by 1.061 to get 106.1.
On the other hand, if you wanted to decrease a number by a certain percentage, you would use a decimal multiplier that is less than 1. For example, to decrease a number by 10%, the decimal multiplier would be 0.9, which means you would multiply the number by 0.9 to get the new decreased value.
Therefore, decimal multiplier to increase by 6.1% is 1.061.
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I need help guys
I need this by friday plsss
The length of the midsegment of the given trapezoid is 16.
What is a trapezoid?
A trapezoid is necessarily a convex quadrilateral in Euclidean geometry. The parallel sides are called the bases of the trapezoid.
Given is a trapezoid TUVW, with bases UV and TW given by expressions, 3x-1, 8x and the midsegment XY is 3x+7.
We need to find the length of the midsegment,
We know,
Midsegment = (base 1 + base 2) / 2
Therefore,
XY = UV+TW / 2
3x+7 = 3x-1 + 8x / 2
6x+14 = 11x-1
5x = 15
x = 3
XY = 3(3)+7 = 16
Hence, the length of the midsegment of the given trapezoid is 16.
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Math question 8 help
I NEED HELP! WILL GIVE BRAINLIEST IF YOU GIVE STEPS!
[tex]y = \frac{1}{2} x - 2[/tex]
the line of stars is parallel to the blue line, so the slope doesn't change.
if you take the star at x = 4, the y coordinate is zero. at this same point of x = 4, the y coordinate of the blue line is 6. So to get from 6 to 0, subtract 6. This means the whole line goes down 6 points, and so does the y intercept. 4-6 = -2, so the new y intercept is -2.
4^2 =2 x (----- + 3) complete this calculation
Rates and Unit Rates
Use ratios to solve.
3/4
Tyler reads page per minute.
What is the ratio of pages to minutes?
How many pages will he read in 16 minutes?
Tyler has to read 24 pages for homework.
How long will it take him to read 24 pages?
Tyler takes 32 minutes to read 24 pages.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Tyler reads 3/4 pages per minute. Then the ratio of pages to minutes is given as,
Ratio = (3/4)/1
Ratio = 3:4
If he read 16 minutes, then the number of pages is calculated as,
(3/4) x 16
3 x 4
12 pages
Tyler has to read 24 pages for homework. Then the number of minutes is given as,
24 / (3/4)
24 x (4/3)
8 x 4
32 minutes
Therefore, it takes 32 minutes to read 24 pages.
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