A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costumes for all 27 students in the chorus?

Sam's height given the percentage and height of his mother is 120 cm

In order to find Sam's height, x, equate the Percentage of Sam's mother height to Sam's mother height

Percentage of Sam's mother height = Sam's mother height

125% of x = 150

1.25 × x = 150

1.25x = 150

x = 150/1.25

x = 120 cm

Therefore, Sam's height is 120 cm if the percentage of his mother's height is is 125% of Sam's height.

Read more on percentage:

https://brainly.com/question/843074

#SPJ1

Answer:

7

Step-by-step explanation:

The constant rate of change can be represented by the cost of milk. The correct option is (A).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

The options can be analysed as follows,

(A) Suppose the cost of milk per gallon be C.

And, the number of gallons be n.

Then, the total cost is given as nC.

Which implies that the total cost is proportional to the number of gallons.

It can be considered as a case of constant rate of change.

The remaining option do not show this type of relation.

Hence, the constant rate of change is shown by the cost of milk for number of gallons.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ1

Answer:

77.77

Step-by-step explanation:

100% × 77 = 77.

Adding an extra 1%,

101% × 77 = 77.77

Where 100% = 1 and

101% = 1.01

An algebraic expression which could equal n for some integer t include the following: C. 4t - 1.

In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1)

Since the remainder is equal to three (3) when a positive integer n is divided by 4, we would write an algebraic expression for the word problem and then evaluate it as follows;

n = 4t + 3

n = 4(t - 1) + 3

n = 4t - 4 + 3

n = 4t - 1.

Read more on integers here: brainly.com/question/17305372

#SPJ1

When a positive integer n is divided by 4, the remainder is 3. Which of the following could equal n for some integer t?

(A) 4t +2

(B) 4t

(C) 4t - 1

(D) 4t - 2

(E) 4t - 3

If a circle graph was constructed from the results, the lake activity that has a central angle of 54° is A. Kayaking.

The central angle of each lake activity is computed as the proportion of the total number of campers in degrees.

A circle has 360°.  Proportionately, this total is divided among the lake activities according to the number of campers who participated.

Lake Activity             Number              Degrees

                              of Campers

Kayaking                     15                          54° (15/100 x 360°)

Wakeboarding            11                          40° (11/100 x 360°)

Windsurfing                 7                          25° (7/100 x 360°)

Waterskiing                13                          47° (13/100 x 360°)

Paddleboarding        54                        194° (54/100 x 360°)

Total number           100

Thus, Kayaking, proportionately, has a central degree of 54°.

Learn more about central degrees and proportions at https://brainly.com/question/1496357 and https://brainly.com/question/1616132

#SPJ1

Two rays that extend in opposing directions from the same endpoint but have different lengths are said to be a pair of opposite rays. Rays having same endpoint E but not in the opposite directions are ED and EC.

A pair of opposite rays is defined as two rays that have the same terminus and extend in opposite directions, but have different lengths.

Consequently, a straight line is always created when two rays that are facing one another unite.

Two rays that make up an angle are referred to as its two sides.

Each of these rays originates and finishes at the vertex.

A ray is always named by beginning with the letter of the endpoint (where the ray starts), followed by the name of another point along the ray in the direction the ray advances.

Rays ED and EC share the same terminal E but do not go in the opposite directions.

These two rays have different trajectories and collide at point E. The other pair of rays, EA and EB, also have the same end point (at E), but they do not travel in the other way.

To learn more about opposite rays refer

brainly.com/question/11390581

#SPJ1

In interval (1, ∞), function h is decreasing, option (C) is correct.

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

h(x) = [tex]2^x[/tex] when x < 1,

And h(x) = √(x + 3) when x ≥ 1.

To find the interval when function h is decreasing,

Plot the graph of the function h(x) for the given intervals.

Since, in interval (-∞, 1) the graph is increasing.

And in the interval (1, ∞) the graph is decreasing.

Hence, correct option is option (C).

To know more about Function on:

https://brainly.com/question/2411204

#SPJ1

p > -19/2 is the solution for the given inequality.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given an inequality 19 + 2p >0

Solving the given inequality

19 + 2p >0

subtract 19 from both the sides

2p > -19

divide by 2 into both the sides

p > -19/2

Therefore, the solution for the inequality Given is p > -9.5.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

To represent a whole, divide it into any number of equally parts, or fractions. How many units of a particular size there are is expressed using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of such numerator to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or population of a sophisticated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of the a total number or item.

Here,

Given : Six and a half metric tons of soil are removed from a construction site by a construction company in one and a half hours.

Thus,

5/3 hours and 13/2 metric ton

So,

=> 13/2 / 5/4

=> 13/2 * 4/5

=> 52/10

=>5.2

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ4

The sampling distribution of the sample mean c. is the probability distribution showing all possible values of the sample mean. The standard error of the proportion will become larger as d. p approaches .5

The sampling distribution of the sample mean is the probability distribution of the possible values of the sample mean, given a certain sample size and population distribution. It is a theoretical construct that describes how the sample mean is likely to vary across different samples of the same size, drawn from the same population. The sampling distribution of the sample mean is approximately normal, with the mean equal to the population mean and a standard deviation known as the standard error.

The standard error is a measure of the variability of a statistic, such as the sample mean.

Learn more about standard error here: https://brainly.com/question/1191244

#SPJ4

The complete sentence is  - The rate of change of the bus is less than the rate of change of the motorcycle. The bus is moving slower than the motorcycle.

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). One input results in one output when using a function, which is a type of rule. by Alex Federspiel, the photo's author. Here, y=x2 serves as an illustration. A single output for y results from any input for x. Since x is the input value, we would state that y is a function of x.

given

as the graph shows that the bus and motorcycle travels a distance

The bus's rate of change is lower than the motorcycle's rate of change, to give the whole sentence. The motorcycle is traveling more slowly than the bus.

To know more about function visit :-

https://brainly.com/question/12431044

#SPJ1

Answer:

35 Feet

hope you like it : )

The equivalent exponential functions for this problem are defined as follows:

A. A(n) = 1,000(1.10)^t

B. A(n) = 1,000(1 + 0.008)^12t.

An increasing exponential function is defined as follows:

A(t) = A(0)(1 + r)^t.

In which the parameters are given as follows:

For this problem, the function is defined as follows:

A(n) = 1000(1 + 0.10)^t.

Hence:

A(n) = 1100(1.10)^t.

Meaning that option A is correct.

Using monthly compounding, then the function would be defined as follows:

A(n) = 1000(1 + 0.10/12)^12t.

A(n) = 1000(1 + 0.008)^12t.

Meaning that option B is also correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Option A is the correct answer because the missing step in the two column proof is;

Statement: XW/UT = XV/UV Reason: Corresponding sides of similar triangles are proportional

Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. Thus, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Now, we see from the two column proof that ΔTVU ∼ ΔWVX. This means that corresponding sides of both triangles are proportional or have corresponding proportions.

Thus, we can say that;

XW/UT = XV/UV

Read more about Similar Triangles at; https://brainly.com/question/14285697

#SPJ1

The equation (7x2-2xy +2)dx + (29-x2+7)dy = 0 is not exact, NS.

An equation is exact when the mixed partial derivatives of both sides of the equation are equal to each other. In this equation, we have derivatives of x and y, but the mixed partial derivatives are not equal, which means that the equation is not exact. Therefore, the solution is NS. An equation is exact if the sum of the differential terms on each side of the equation is equal to zero. This equation does not satisfy this condition, which is why it is not exact.

Learn more about mixed partial derivatives here:

https://brainly.com/question/2284338

#SPJ4

The vector pairs v, (22,15) and v₂ = (-2,4) are not orthogonal.

Vector algebra entails performing algebraic operations on vectors. Vector algebra performs algebraic operations on vector magnitude and vector direction. Many applications in physics and engineering use vector algebra to perform addition and multiplication operations on physical quantities represented as vectors in three-dimensional space.

Given that the vector pairs are v, (22,15) and v₂ = (-2,4). For the vectors to be orthogonal the dot product should be equal to zero.

Calculate the dot product for the given points,

V = ( 22i + 15j) . ( -2i + 4j )

V = -44 + 60  Here, (i.i =1 and j.j = 1)

V = 16

The dot product is not equal to zero. Hence, the vectors are not orthogonal.

To know more about vector algebra follow

https://brainly.com/question/17173459

#SPJ1

Expression  8[cos(pi/2) + i sin (pi/2)]  is equal to ([tex]\sqrt{3\\}[/tex] + i )³.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  ([tex]\sqrt{3\\}[/tex] + i )³ lets simplify it

Apply the binomial formula [tex](a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}[/tex]

You can find the coefficient multipliers in row 3 of Pascal's triangle.

=> 3[tex]\sqrt{3}[/tex] + 3*     ([tex]\sqrt{3}[/tex])²* i + 3* √3* (i)² + (i)³

=> 3√3 + 9i  - 3√3 -i

=> 8i

Now simplify the given equations in the options

For 6[cos(pi/2) + i sin (pi/2)]

=> 6[ 0  + 1*i ]

=> 6i

For 8[cos(pi/2) + i sin (pi/2)]

=> 8[ 0  + 1*i ]

=> 8i

For 6 [cos(pi/6) + i sin (pi/6)]

=> 6[ √3 / 2 + i/2]

For 8 [cos(pi/6) + i sin (pi/6)]

=> 8 [ √3 / 2 + i/2]

Therefore, ([tex]\sqrt{3\\}[/tex] + i )³ is equals to the value of equation  8 [cos(pi/2) +  i*sin(pi/2)].

Learn more about expression here:

https://brainly.com/question/24242989

#SPJ1

The probability of all five people are still living is 0.1317.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability (Event) = Favorable Outcomes/Total Outcomes = x/n

Let us check simple application of probability to understand it better. Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.

As per the given data,

Probability of a person living in these conditions for 30 years or more[tex]$=p=2 / 3$[/tex]

Total number of samples[tex]$=n=5$[/tex]

Let [tex]$X$[/tex] be the number of people living.

[tex]$X \sim \[/tex] Binomial [tex](n=5, p=2 / 3)$[/tex]

Probability mass function of [tex]$X$[/tex]  :

[tex]$$P(X=x)=\left(\begin{array}{l}n \\x\end{array}\right) p^x(1-p)^{n-x}$$[/tex]

a) Probability that all five people are still living:

[tex]$$P(X=5)=\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5}=0.1317$$[/tex]

b) Probability that at least three people are still living:

[tex]$$P(X=5)=\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5}=0.1317$$[/tex][tex]$$\begin{aligned}& P(X \geq 3)=P(X=3)+P(X=4)+P(X=5)=\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{2}{3}\right)^3\left(1-\frac{2}{3}\right)^{5-3}+ \\& \left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{2}{3}\right)^4\left(1-\frac{2}{3}\right)^{5-4}+\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{2}{3}\right)^5\left(1-\frac{2}{3}\right)^{5-5} \\& =0.7902 \\&\end{aligned}$$[/tex] c) Probability that exactly two people are still living:

[tex]$$P(X=2)=\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{2}{3}\right)^2\left(1-\frac{2}{3}\right)^{5-2}=0.1646$$[/tex]

Therefore, the probability of all five people are still living is 0.1317.

For more such questions on probability:

https://brainly.com/question/11234923

#SPJ4

Answer:14

Step-by-step explanation:

Answer: 9/2

Step-by-step explanation:

Answer:

9:2

Step-by-step explanation:

Find the HCF of the numerator and denominator which is 6.

Divide the numerator and denominator by the HCF (54÷6)÷(12÷6)

The answer will be 9÷2 which is also 9:2

Number of miles to travel for result in both taxi services costing the same amount for that trip will be 60 miles.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Taxi service A costs $5 plus $0.25 for every mile traveled.

And, Taxi service B costs $8 plus $0.20 for every mile traveled.

Now,

Let the number of miles for both taxi reach at same time = x

So, We can formulate;

For Taxi A;

The total cost for x mile = $5 + $0.25x

For Taxi B;

The total cost for x mile = $8 + $0.20x

So, For same number of miles,

⇒ $5 + $0.25x = $8 + $0.20x

⇒ 0.25x - 0.20x = 8 - 5

⇒ 0.05x = 3

⇒ x =3/0.05

⇒ x = 300/5

⇒ x = 60 miles

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).

To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.

The derivative of

y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).

At the origin, x = 0, so the slope of the tangent at the origin is

y' = (1/2)cos(0) = 1.

Therefore, the equation for the tangent to the graph of

y = arcsin(x/2) at the origin is y = x, which has a slope of 1.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Therefore , the solution of the given problem of integral comes out to be 8ln2 is solution for the integral expression.

The region beneath a curve among two set limits is referred to as a definite integral. The representation of the definite integral for such a function of two variables), defined to reference to the x-axis, is ∫ baf(x)dx a b f (x) d x, where an is the lower bound and b is the upper bound.

Here,

Given :

[tex]\int\limits \int\limitsa_R[/tex] 3xy²/x²+ 1 dA

=> R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} ·

So,

=>  [tex]\int\limits^1_{x=0} \int\limits^2_{y=-2}[/tex] 3xy²/x²+ 1  dxdy

=> [tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1  [tex]\int\limits^2_{y=-2}[/tex] y²

=>[tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1 ( y³/2)²dx

=>   [tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1 (8 + 8 /3) dx

=> [tex]\int\limits^1_{x=0}[/tex] 16x/x²+ 1

=> 8 [ln(x²+ 1) ]

=>  8 [ln2 -ln1 ]

=>8ln2

Therefore , the solution of the given problem of integral comes out to be

8ln2 is solution for the integral expression.

To learn more about the integral here;

https://brainly.com/question/18125359

#SPJ4

Answer:

Step-by-step explanation:

ME EITHER UGHHHHHHHH

The equation that represents two third times the difference of a number and four will be ten is  [tex]\frac{2}{3} x -4 =10[/tex] and number is 21.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let the unknown number be represented as x.

The two thirds of a number is written as [tex]\frac{2}{3} x[/tex]

The difference of two-thirds of number and four is [tex]\frac{2}{3}x -4[/tex]

The equation is equal to 10, so the complete equation is written as:

[tex]\frac{2}{3}x -4=10[/tex]

Multiply both sides of the equation with 3.

[tex](\frac{2}{3}x -4) (3) = (10)(3)[/tex]

[tex]2x - 12 = 30[/tex]

Add 12 to both sides of the equation:

[tex]2x -12 + 12 = 30 +12[/tex]

[tex]2x = 42[/tex]

Divide both sides of the equation with 2.

[tex]\frac{2x}{2} = \frac{42}{2}[/tex]

[tex]x=21[/tex]

Hence the equation that represents two third times the difference of a number and four will be ten is  [tex]\frac{2}{3} x -4 =10[/tex] and number is 21.

Learn more about mathematical expression here:

https://brainly.com/question/14462529

#SPJ1

The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔABC and ΔDEF, we have

∠B = ∠D    (Given)

∠C = ∠F    (Given)

Then the triangles ΔABC and ΔDEF will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

AC / DF = BC / EF

x / 12 = 6 / 8

x = 12 x 6 / 8

x = 72 / 8

x = 9 inches

The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1