Jin completed 8 pages in his math workbook and
12 pages in his science workbook. This is 25% of the
total number of pages in both workbooks together.
If there are 32 pages in his math workbook, how
many pages are there in his science workbook?
A. 20
B.
48
C. 80
D. 128

The graph of the equation given by a = 4g is attached.

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y intercept.

Let a represent the total amount of money spent on bowling for g number of games the family play

The family can bowl for $4 per game, hence:

a = 4g

The graph of the equation is attached.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The minimum number of sets of knives Gabriel should buy will be 10sets.

A chef's knife, a paring knife, and a serrated knife are the only three knives that are essential in a kitchen. Any more knives are a luxury; while they can facilitate cooking and enhance the experience, they are not required.

Given the least number of knives needed = 587 knives

Amount currently available on ground = 387knives

The remaining amount of knives needed = 587 - 387

The remaining amount of knives needed = 200 knives

If each set on sale contains 20 knives, the number of sets Isabella will need will be:

The number of sets of knives=200/20 =10

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

To learn more about  minimum number refer to:

https://brainly.com/question/1538273

#SPJ1

Answer:

Step-by-step explanation:

Choice D is the only one that is applicable.

Answer:

17,222,222

Step by Step Solution:

If 26% equals 6,200,000, then

1% equals 6,200,000/23, and

100% equals (6,200,000/23)*100 = 17,222,222.222222222222222222222222

Hence, there were about 17,000,000 (seventeen million) students.

To be a bit closer to the number, there where about 17,222,222 students.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.

Since the supplement weighs 16 lb, hence:

x + y + z = 16          (1)

Also supplement contains thirteen times as much mulch as iron. Therefore:

x = 13z

x - 13z = 0     (2)

The supplement also has twice as much potassium as iron, hence:

x = 2y

x - 2y = 0          (3)

solving equations 1, 2 and 3 simultaneously gives:

x = 10.1 lb, y = 5.1 lb, z = 0.8 lb

This means that the soil supplement contains 0.8 lb of mulch

Answer:

should be 42

Step-by-step explanation:

5 x 2 + 8 x 4

10 + 8 x 4

10 + 32 =

42

Answer:

15

Step-by-step explanation:

1/10 of 50 = 5

50 -5 = 45

2/3 of 45 =30

45-30=15

The forward premium on the dollar based on the indirect quotation is -1.91%.

Given that the spot rate is 0.9574 €/$ and the 2-month forward rate is 0.9391 €/$.

We are to determine the forward premium on the dollar based on the indirect quotation.

Let's calculate the forward premium on the dollar below;

Forward premium on dollar = (Forward rate - Spot rate)/Spot rate× 100%.

Substitute the known values in the above formula:

Forward premium on dollar = (0.9391 - 0.9574)/0.9574× 100%.

Forward premium on dollar = (-0.0183)/0.9574× 100%.

Forward premium on dollar = -0.0191× 100%.

Forward premium on dollar = -1.91%.

Therefore, the forward premium on the dollar based on the indirect quotation is -1.91%.

To know more about indirect quotation visit:

https://brainly.com/question/30187913

#SPJ11

The value of f(x) approaches zero (0). Thus, limx→−[infinity]f(x) = 0.

Evaluate limx→[infinity]f(x) as shown below:

f(x) = x^2 / (x^4 - 3x^3 + 3x) = x^2 / x(x^3 - 3x^2 + 3)

Taking x as a common factor in the denominator,x^3 - 3x^2 + 3 = x(x^2 - 3x + 3)

Thus ,f(x) = x^2 / x(x^3 - 3x^2 + 3) = 1 / (x(x^2 - 3x + 3))

Now, as x approaches infinity, the value of f(x) approaches zero (0) because the denominator grows much faster than the numerator.

Thus, limx→[infinity]f(x) = 0.

Let's calculate the limit for the function f(x) given below by substituting negative infinity as the value of x. Therefore, evaluate limx→−[infinity]f(x) as shown below:

f(x) = x^2 / (x^4 - 3x^3 + 3x) = x^2 / x(x^3 - 3x^2 + 3)

Taking x as a common factor in the denominator,x^3 - 3x^2 + 3 = x(x^2 - 3x + 3)

Thus ,f(x) = x^2 / x(x^3 - 3x^2 + 3) = 1 / (x(x^2 - 3x + 3))

Now, as x approaches negative infinity, the value of f(x) approaches zero (0) because the denominator grows much faster than the numerator. Thus, limx→−[infinity]f(x) = 0.Both the limits evaluate to 0.

Learn more about limit from:

https://brainly.com/question/30679261

#SPJ11

Answer:

64

Step-by-step explanation:

Lets take mei lin's first four test scores to be 60 since it average out to be 60.

After the 5th test,

mei lin new average score is

\( \frac{new \: total \: score}{total \: number \: of \: tests} \\ = \frac{60 + 60 + 60 + 60 + 80}{5} \\ = \frac{320}{5} \\ = 64\)

The average of mei lins marks in science after all five tests is 64.

Since her science teacher gives tests that are marked out of 100. mei lin has an average of 60 marks on her first four science tests. on the fifth test she got 80 marks.

So here the average be like

= (60 + 60 + 60 + 60 + 80 ) / 5

= 320 / 5

= 64

hence, The average of mei lins marks in science after all five tests is 64.

Learn more about an average here: https://brainly.com/question/9882283

Answer:

Step-by-step explanation:

There are three people who each use 1 cup of milk for breakfast.  That's a total of 3 cups, just for breakfast.  There is no information given on any other milk consumption, so we have to assume that is all the milk they drink in a day.

Over a 4 day period, that amounts to (4 days)*(3 cups/day) = 12 cups of milk in 4 days.

1 cup of milk is equal to 8 fluid ounces.  We can make this into a conversion factor:

                                (8 fluid oz)/(1 cup)

Since the top is equal to the bottom (8 oz = 1 cup), this numerically is equivalent to 1, which we can multiply by anything.

Let's multiply it times the 12 cups of milk the three consume in 4 days:

  (12 cups/4 days)*(8 fluid oz/cup)

Note that the cups cancel and we are left with the unit fluid oz/4 days.

 96 fluid oz over 3 days.  I don't see that as an option, so please check the numbers.

where:

θ = central angle

r = radius of the sector

In the question, we are given the following parameters:

Radius of the sector = 4cm

Arc length = 1.396 cm

Arc length = θ/360 x 2πr

Hence,

1.396 = θ/360 x 2 x π x 4

Cross Multiply

1.396 x 360 = θ x π x 8

502.56 = θ x 25.132741229

θ = 502.56/25.132741229

θ = 20°

The central angle is 20°

Formula = θ/360 x πr²

= 20/360 x π x 4²

= 2.7925268032 cm²

Approximately to the nearest thousandth = 2.793 cm²

Therefore. the area of the sector is 2.793 cm²

To learn more, visit the link below:

https://brainly.com/question/22481512

The scenario that would result in an increase in productivity is when the total number of hours worked by the US labor force increases from 256 billion hours to 285 billion hours while the GDP stays at $20 trillion.

Productivity is a measure of output per unit of input, and in this case, the input is the total number of hours worked by the labor force. When the number of hours worked increases while maintaining the same level of GDP, it suggests that the labor force is becoming more efficient and productive.

By working additional hours without a corresponding decrease in GDP, the workforce is able to produce more output for the same amount of time invested. This increase in productivity can be attributed to factors such as improved efficiency, technological advancements, or better utilization of resources.

On the other hand, the other scenarios described do not necessarily indicate an increase in productivity. Maintaining the same GDP and hours worked or experiencing a decrease in GDP suggests stagnation or a decline in productivity, while an increase in GDP without a corresponding increase in hours worked does not necessarily reflect an improvement in productivity.

For more such questions on hours

https://brainly.com/question/14534845

#SPJ8

The square meters in square feet is 1026 square feet

To convert square meters to square feet, we need to multiply the number of square meters by the conversion factor of 10.8 square feet per square meter.

So, the number of square feet in 95 square meters can be calculated as:

95 square meters x 10.8 square feet per square meter = 1026 square feet

Therefore, 95 square meters of carpeting is equivalent to 1026 square feet of carpeting.

Read more about metric unit at

https://brainly.com/question/3851249

#SPJ1

For parts 1 and 2, you'll need to find a way to gather these data points, either by measuring them yourself or by asking your friends. Another option is to search out "Census at School", with quotes, and it will lead you to spreadsheets of data on this sort of thing (that some researchers have already done previously).

In short, the answers to parts 1 and 2 will vary depending on what the actual data values you collect. So I'm not much help here in this case.

============================================================

Part 3

Part A

In this case, we have x = 17 as the length of the person's forearm in inches. We'll plug it into the given regression equation to find an estimate of y

y = 0.860x + 3.302

y = 0.860*17 + 3.302

y = 14.62 + 3.302

y = 17.922

The person's foot is approximately 17.922 inches long

Rounding to the nearest whole number, this is approximately 18 inches

Note: 18 inches = 12 in + 6 in = 1 ft, 6 in = 1.5 ft

------------------

Part B

Unfortunately I can't help with this part either because I don't know what data set you're working with. So it all depends on how you do parts 1 and 2.  You shouldn't get the same exact values, but you should get close to the average.

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

To know more about Null hypothesis:

https://brainly.com/question/28920252

#SPJ4

Answer:

An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry

Answer: a)0.0399, b)0.2995, c)0.6588, d)0.3412

Step-by-step explanation:

It is the same exact formula as the only other user here made, it's just that their final answer is wrong. Just put it in your calculator (the formulas of the other users) and these are the answers you should be getting

Answer:

  (a)  0.0399

  (b)  0.2995

  (c)  0.6588

  (d)  0.3412

Step-by-step explanation:

You want the probability distribution in 5-card hands for 2, 1, 0, and not 0 aces.

The probability of some number of aces is the product of the ways that number of aces can be drawn from the 4 in the deck, multiplied by the number of ways the remaining cards in the hand can be drawn from the 48 non-aces in the deck, all divided by the number of possible 5-card hands.

  P(2 aces) = 4C2 · 48C3 / 52C5 ≈ 0.0399

  P(1 ace) = 4C1 · 48C4 / 52C5 ≈ 0.2995

  P(0 aces) = 48C5 / 52C5 ≈ 0.6588

  P(>0 aces) = 1 -P(0 aces) = 1 -0.6588 = 0.3412

__

Additional comment

  nCk = n!/(k!(n-k)!) . . . the number of ways k can be chosen from n

<95141404393>

The given figure represents translation transformation. Therefore, option A is the correct answer.

"It is the method of transforming the shape or size of a geometric object using different rules and methods."

"It is a geometric transformation in which the object is moved from one place to another without change in its shape, size and orientation."

"It is a transformation where changing the size of an object without changing its shape."                                                                      

"It is a geometric transformation in which the object is rotated about the axis of rotation without changing the size and shape of an object."

In the given figure, ΔABC is transformed to ΔA'B'C' we can observe that the transformation is translation.

The given figure represents translation transformation. Therefore, option A is the correct answer.

Learn more about the transformation here:

brainly.com/question/22532832

#SPJ2

the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

Learn more about Probability here

https://brainly.com/question/32117953

#SPJ4

We can conclude that the square pyramid has a volume of 111.5 in³.

A square pyramid in geometry is a pyramid with a square base.

It is a right square pyramid with C4v symmetry if the apex is perpendicular to and above the square's center.

It is an equilateral square pyramid, the Johnson solid J1 if all edge lengths are equal.

A polyhedron with seven faces is called a heptahedron.

One "normal" heptahedron exists, and it is formed up of a surface with one side made up of four triangles and three quadrilaterals.

So, 6.6 inches wide is the square pyramid's base.

The square pyramid's height is 7.7 inches or h.

V = a²(h/3) is the formula for the square pyramid's volume.

By changing the values given:
V = 6.6²(7.7/3)

V = 43.56(2.56)

V = 111.51 ≈ 111.5

Therefore, we can say that the square pyramid has a volume of 111.5 in³.

Know more about the square pyramid here:

https://brainly.com/question/22744289

#SPJ9

Answer:

0.42686626268 yeah that it

In general, a change in the price of the product causes a movement along the demand curve; and a change in production cost and related factors causes a shift in the supply curve.

The demand curve is a graphical representation of the relationship between the price of a good or service and the quantity demanded for a given period of time. In a typical representation, the price will appear on the left vertical axis of the graph, and the quantity demanded on the horizontal axis.

The supply curve is a graphic representation of the relationship between product price and quantity of product which a seller is willing and able to supply. Product price is measured on the vertical axis of the graph, and the quantity of product supplied on the horizontal axis.

Learn more about supply demand curve at: https://brainly.com/question/1915798

#SPJ4

The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

Learn more about Net Operating Income

https://brainly.com/question/25895372  

#SPJ4

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

The answer is , the general solution to the given system of linear differential equations is given by ,

\(\begin{bmatrix}x(t)\\y(t)\end{bmatrix}=c_1\begin{bmatrix}1\\1\end{bmatrix}e^{-5t}+c_2\begin{bmatrix}1\\-10\end{bmatrix}e^t+\begin{bmatrix}\frac{1}{15}\cos(3t)\\\frac{1}{45}\cos(3t)+\frac{1}{45}\sin(3t)\end{bmatrix}\) .

The given system of linear differential equations can be expressed in matrix form as follows:

\(\begin{bmatrix}x'\\y'\end{bmatrix}=\begin{bmatrix}1&-10\\1&-1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}+\begin{bmatrix}2\cos(3t)\\0\end{bmatrix}\)

Let us consider the homogeneous system first:

\(\begin{bmatrix}x'\\y'\end{bmatrix}=\begin{bmatrix}1&-10\\1&-1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}\)

\(\implies \begin{bmatrix}x\\y\end{bmatrix}=c_1\begin{bmatrix}1\\1\end{bmatrix}e^{-5t}+c_2\begin{bmatrix}1\\-10\end{bmatrix}e^t\)

where c_1, c_2 are arbitrary constants.

Let us now consider the given non-homogeneous system:

\(\begin{bmatrix}x'\\y'\end{bmatrix}=\begin{bmatrix}1&-10\\1&-1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}+\begin{bmatrix}2\cos(3t)\\0\end{bmatrix}\)

Particular solution for x(t) can be assumed to have the form

\(x_p(t)=A\cos(3t)+B\sin(3t)\)

\(x_p'(t)=-3A\sin(3t)+3B\cos(3t)\)

Substituting the above in the differential equation we get

\(-3A\sin(3t)+3B\cos(3t)=A\cos(3t)+B\sin(3t)-10\big(A\cos(3t)+B\sin(3t)\big)+2\cos(3t)\)

\(\implies \big(4A-30B\big)\sin(3t)+\big(4B+30A-2\big)\cos(3t)=2\cos(3t)\)

Equating the coefficients of cos(3t) and sin(3t) separately, we get

\(4B+30A-2=2\implies A=\frac{1}{15}, B=0\)

\(\implies x_p(t)=\frac{1}{15}\cos(3t)\)

\(\implies \begin{bmatrix}x_p(t)\\y_p(t)\end{bmatrix}=\begin{bmatrix}\frac{1}{15}\cos(3t)\\\frac{1}{45}\cos(3t)+\frac{1}{45}\sin(3t)\end{bmatrix}\)

Thus, the general solution to the given system of linear differential equations is given by

\(\begin{bmatrix}x(t)\\y(t)\end{bmatrix}=c_1\begin{bmatrix}1\\1\end{bmatrix}e^{-5t}+c_2\begin{bmatrix}1\\-10\end{bmatrix}e^t+\begin{bmatrix}\frac{1}{15}\cos(3t)\\\frac{1}{45}\cos(3t)+\frac{1}{45}\sin(3t)\end{bmatrix}\) .

To know more about Matrix visit:

https://brainly.in/question/13626298

#SPJ11

The particular solution of the given system of differential equations is xp(t)=−(2/91)sin(3t)+tcos(3t)/3

The given system of differential equations is x′=x−10y+2cos(3t),y′=x−y.

For finding a particular solution to the given system of differential equations, we have to apply the method of undetermined coefficients.

The particular solution of the differential equation,

let us assume, can be of the form

xp(t)=A cos(3t)+B sin(3t)+Ct cos(3t)+Dt sin(3t)

Here A and B are the coefficients of the complementary function, and C and D are the unknown coefficients of the particular solution.

Let us differentiate the assumed particular solution, xp(t).

Thus, xp′(t)=−3Asin(3t)+3Bcos(3t)−3Ctsin(3t)+3Dcos(3t)+Ccos(3t)−Dsin(3t)

The system of differential equations is as follows:

x′=x−10y+2cos(3t),

y′=x−y

Now, we will substitute the assumed particular solution, xp(t), in the given differential equations to obtain the values of the coefficients of the particular solution.

x′=x−10y+2cos(3t)→xp′(t)=A cos(3t)+B sin(3t)+Ct cos(3t)+Dt sin(3t)xp′(t)

=x(t)−10y(t)+2cos(3t)→−3Asin(3t)+3Bcos(3t)−3Ctsin(3t)+3Dcos(3t)+Ccos(3t)−Dsin(3t)

=A cos(3t)+B sin(3t)+Ct cos(3t)+Dt sin(3t)

Separating the coefficients of each of the terms, we get the following equations.

−3A = C3D = B+Ct3B = 3D−10A = 0 On solving the above system of equations, we get A=0, B=0, C=0, and D=−2/91

Therefore, the particular solution of the given system of differential equations is xp(t)=−(2/91)sin(3t)+tcos(3t)/3

To know more about differential equations, visit:

https://brainly.com/question/32645495

#SPJ11

Given:

The data values are 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.

To find:

The five-number summary.

Solution:

We have,

22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30

Divide the data values on 2 equal parts.

(22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30)

Divide each parentheses in two equal parts.

(22, 23, 23, 24, 24, 24), (25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28), (28, 28, 28, 29, 29, 30)

Now,

Minimum value = 22

\(Q_1=\dfrac{24+25}{2}=24.5\)

Median = 26

\(Q_2=\dfrac{28+28}{2}=28\)

Maximum value = 30

So, the five number summary is 22, 24.5, 26, 28, 30.

Therefore, the correct option is D.