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Answer:

1. is the answer

Step-by-step explanation:

The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The number of batch recipe calls for 1 / 2 lb of flour = 1 batch

And to calculate the number of batches , we use

The number of batch recipe calls for 1 lb of flour will be

1 / 2 lb of flours = 1 batch

Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour

Therefore , 1 / 2 x 2 = 1 x 2

1 lb of flour = 2 batches

3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4

                                          = 3 / 2 batches

                                          = 1.5 batches

1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4

                                        = 1 / 2 batches

                                        = 0.5 batch

Hence ,  The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

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The measurement of angle DEF in the triangle since it's a scaled copy is 46°.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. Angle Sum Property of Triangle is the name of this property.

The six different kinds of triangles are right, obtuse, acute, equilateral, scalene, and isosceles. A triangle having two congruent sides and one distinct side and angle is called an isosceles triangle.

In this case, the measurement of angle DEF in the triangle since it's a scaled copy is 46°. This can be seen based on the value given in the second triangle.

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Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

Answer:

625 \(cm^{2}\)

Step-by-step explanation:

The side lengths of a square are equal so each side must be 25 cm

a =\(s^{2}\)  (area = the side squared)

a = \(25^{2}\)

a = 625

Helping in the name of Jesus.

It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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Answer:

3.45

Just multiply .23 by 15

.23 is the percent

Then it's 3.45

Answer:

36

Step-by-step explanation:

Unit price: 9 / 5 = 1.8

20 box price: 1.8 * 20 = 36

Answer:

B

Step-by-step explanation:

we have to subtract the volume of the biggest one from the volume of the smallest one

for find the volume it is used the radius, not the diameter

Answer: approximately 10%

Step-by-step explanation:

the owner used 10 pounds of chocolates and 10 pounds of lollipops to make 20 pounds of candy.

Let's assume the owner used x pounds of chocolates and y pounds of lollipops to make a total of 20 pounds of candy.

The cost of the chocolates is $5.25 per pound, so the cost of x pounds of chocolates is 5.25x dollars.

The cost of the lollipops is $1.25 per pound, so the cost of y pounds of lollipops is 1.25y dollars.

The total cost of the candy is $3.25 per pound, so the cost of 20 pounds of candy is 3.25 * 20 = 65 dollars.

Since the total cost of the candy is the sum of the costs of the chocolates and lollipops, we can write the equation:

5.25x + 1.25y = 65

We also know that the total weight of the candy is 20 pounds, so we have another equation:

x + y = 20

Now we have a system of two equations:

5.25x + 1.25y = 65

x + y = 20

We can solve this system of equations to find the values of x and y.

Multiplying the second equation by 1.25, we get:

1.25x + 1.25y = 25

Now, we can subtract this equation from the first equation to eliminate the y variable:

5.25x + 1.25y - (1.25x + 1.25y) = 65 - 25

4x = 40

Dividing both sides by 4, we find:

x = 10

Substituting the value of x into the second equation:

10 + y = 20

y = 20 - 10

y = 10

Therefore, the owner used 10 pounds of chocolates and 10 pounds of lollipops to make 20 pounds of candy.

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The total area under a probability distribution is equal to 1. This means that the probabilities of all possible outcomes within the distribution add up to 1.

The concept of the total area being equal to 1 is based on the principle of certainty. In any given situation, there must be an outcome or event that occurs. Therefore, the sum of the probabilities of all possible outcomes must be equal to 1, indicating that one of those outcomes is guaranteed to happen.

This property holds true for all probability distributions, whether they are discrete or continuous. For discrete distributions, the total area corresponds to the sum of probabilities assigned to each individual outcome. In continuous distributions, the total area is represented by the integral of the probability density function over the entire range of values.

By ensuring that the total area under a probability distribution is equal to 1, we can interpret the probabilities within the distribution as relative frequencies of different events occurring, providing a meaningful way to understand and analyze uncertain situations.

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The total area under a probability distribution is always equal to 1.

In probability theory, the total area under a probability distribution represents the probability of all possible outcomes. The total area under a probability distribution curve is always equal to 1. This is because the sum of all probabilities for all possible outcomes must equal 1.

The area under the curve represents the likelihood of each outcome occurring. The shape of the curve and the specific values of the probabilities depend on the type of probability distribution being considered, such as the normal distribution, binomial distribution, or exponential distribution.

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The solution of the equation after solving for the value of x is 17 degrees.

In a figure with two intersecting lines, vertical angles are opposite angles formed by the intersecting lines, and adjacent angles are angles that share a common vertex and side.

Given that one angle measures 5x degrees and an adjacent angle measures 95 degrees, we can use the fact that adjacent angles add up to 180 degrees to set up an equation:

5x + 95 = 180

To solve for x, we need to isolate the variable on one side of the equation. We can do this by subtracting 95 from both sides:

5x = 180 - 95

Simplifying the right-hand side gives:

5x = 85

Finally, we can solve for x by dividing both sides by 5:

x = 17

Therefore, the value of x is 17 degrees.

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Answer:

x = 5

Step-by-step explanation:

Think of it like a ratio

Here is the step by step

\(\frac{x}{2} : \frac{12.5}{5} =\\5x = 2*12.5\\5x = 25\\x= \frac{25}{5}\\x = 5\)

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It would help me a lot!

Thanks! :)

Answer:

your answer would be -18

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

\(v+6b = 372\\4v + 12b = 780\)

We can use substitution to solve this system:

\(v + 6b = 372\) can be rewritten as \(v = 372 - 6b\) after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

\(4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59\)

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

\(v + 6(59) = 372\\v + 354 = 372\\v = 18\)

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Answer:

             Van: 18,  Bus: 59

Step-by-step explanation:

b   - number of students that bus can carry

v   - number of students that van can carry

6•b + 1•v = 372     -  students from A

6b + v = 372    ⇒  v = 372 - 6b

12•b + 4•v = 780     -   students from B

12b + 4(372 - 6b) = 780

12b + 1488 - 24b = 780

- 12x = - 708

   b = 59    

v = 372 - 6•59 = 372 - 354 = 18

V(t)=S ert-W/r

a. The rate at which the account changes (dt/dV) is equal to the interest rate (r) times the value of the account (V) minus the amount withdrawn (W). This can be written mathematically as dt/dV=rV-W. This is a separable differential equation, which can be solved by integrating both sides of the equation with respect to time. The solution is V(t)=S ert-W/r.

b. The value of the Jones' account at the end of 10 years can be found using the solution V(t) from part a: V(10)=500,000 e5%x10-50,000/5% = $387,468.51.

c. To keep their account unchanged at $500,000, the Jones' must withdraw an annual amount W such that V(t)=500,000. From the solution V(t)=S ert-W/r, we can solve for W: W = 500,000e5%x10 - 500,000/5% = $47,613.30.

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Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

The value of the function (f/g)(x) is (x+5)/(3x+5) if f(x) = 3x² + 10x - 25

g(x) = 9x²-25.

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability.

Given,

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

(f/g)(x)=(3x²+ 10x-25)/(9x²-25)

We have to factorize both the numerator and denominator

For the numerator

3x²+10x-25

3x²+15x-5x-25

3x(x+5)-5(x +5)

(3x-5 )(x+5)

For the denominator

9x² - 25

(3x)² - 5²

We have to use the formula,

a²- b² = (a+b)(a-b)

(3x)²-5² = (3x+5)(3x-5)

Therefore,

(f/g)(x)=(3x-5)(x+5)/(3x+5)(3x-5)

By simplifying we get,

(f/g)(x)=(x+5)/(3x+5)

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The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

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Answer:

p=1/27

Step-by-step explanation:

3p=1/9

when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied

3p*9=1

27p=1

when 27 goes the right hand side multiplication changes to division .So

p=1/27

The value of P is 1/27 for equation 3P = 1/9​

Two or more expressions with an Equal sign is called as Equation.

Given,

Equation is  3P = 1/9​

Three times of P equal to one by nine

We need to find the value of P

3P = 1/9​

Divide both sides by nine

3P/3=1/9×1/3

P=1/27

Hence, the value of P is 1/27.

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It is not possible to produce q₀=100 in the short run with the given inputs.

In the short run, capital is fixed and cannot be changed. Therefore, we can rewrite the production function as q=f(l), where f is the production function with capital held constant at k=1.

Mathematically, we can find the optimal amount of labor (l*) by solving the following equation:

MPL = Δq/Δl = f(l+1) - f(l) = w

In this case, f(l) = 5l 20(1) = 5l+20. Therefore, MPL = 5(l+1) + 20 - 5l - 20 = 5. Solving for l*, we get:

5 = w = 8

5(l*+1) + 20 - 5l* - 20 = 8

5l* + 5 + 20 - 5l* - 20 = 8

5 = 8

Since 5 is not equal to 8, there is no optimal amount of labor that can be used to produce a given level of output.

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Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Answer:

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

Step-by-step explanation:

solution: m= r-s/2nr

i) m= r-s/2nr  2)  m(2nr) = r-s (i) s=117 ,m=2, n=-3

2) 2xnxmxr= r-s        2) r= -s/(2nm-1)

3) move the "r" on the right to the 2)   r=  -117/(2x(-3)x2)-16

-2nrm-r= -s

- r(r-2nm-1)= -s                     2)  r= (-117/-13)=)r=g

- r= -s/(2nm-1)

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

The rewritten rational expression with the indicated denominator of  (6x^2) is (10x) / (6x^2). This is because when we multiply both the numerator and denominator of a rational expression by the same quantity, the value of the expression remains the same.

In this case, by multiplying the numerator and denominator of the original expression (5) / (2x) by 5, we get (10x) / (6x^2). We multiplied both the numerator and denominator by 5 because the denominator of the target expression (6x^2) is twice the denominator of the original expression (2x).

This means that the numerator of the target expression should be double the numerator of the original expression. Hence, by multiplying the numerator and denominator of the original expression by 5, we get the target expression.

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Answer:

1152 in ^ 3

Step-by-step explanation:

We know that the width is:

w = 4 in

They also tell us that the length is three times the width, therefore:

l = 3 * w

l = 3 * 4 = 12

l = 12 in

and as for the height, they tell us that it is twice the length, so:

h = 2 * l

h = 2 * 12 = 24

h = 24 in

now the volume is w * l * h, replacing:

v = 4 * 12 * 24

v = 1152

volume equals 1152 in ^ 3

Answer:

they have 43/100 or 43% out of 100

Step-by-step explanation:

Because joe has 2/10| 2/10=20% or 2

Joe=20

Ashley also has the same thing as joe so 20.

Ashley=20

Billy has 3/100 that = 3 so what's 20+20+3=43 and there's your answer.

Have a great day:)

The margin of error at a 90% confidence level is approximately $1.645.

To find the margin of error at a 90% confidence level, we can use the formula:

Margin of Error = Z * (σ / √n)

Where:

Z is the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is approximately 1.645.

σ is the population standard deviation, which is given as $4.

n is the sample size, which is 16.

Plugging in the values:

Margin of Error = 1.645 * ($4 / √16)

              = 1.645 * ($4 / 4)

              = 1.645 * $1

              = $1.645

Therefore, the margin of error at a 90% confidence level is approximately $1.645.

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Answer:

15-9= 6

Step-by-step explanation:

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