Jeffrey has a wooden board that is ¾ yards long. He wants to cut the board into pieces that are ⅛ yards long. How many pieces will Jeffrey cut?

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

To learn more about work and time:

brainly.com/question/24253661

#SPJ4

Answer:

x=16

Step-by-step explanation:

Simplifying

0.4x + -4 = 2.4

Reorder the terms:

-4 + 0.4x = 2.4

Solving

-4 + 0.4x = 2.4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 0.4x = 2.4 + 4

Combine like terms: -4 + 4 = 0

0 + 0.4x = 2.4 + 4

0.4x = 2.4 + 4

Combine like terms: 2.4 + 4 = 6.4

0.4x = 6.4

Divide each side by '0.4'.

x = 16

Simplifying

x = 16

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

Learn more about Moving average here: https://brainly.com/question/28495879

#SPJ11

The earthquake in Mexico was approximately 15.85 (10^1.2) times more intense than the earthquake in Washington State, in terms of the energy released. This can be written as:15.85 times more intense. Thus, the answer is 15.85.

The formula for log is log 11 = M1 - M2Here,M1 = magnitude of earthquake 1M2 = magnitude of earthquake 2Given, an earthquake in Mexico in 1995 had a magnitude of 8.0 and an earthquake in Washington in 2001 had a magnitude of 6.8.We have to find how many times more intense the earthquake in Mexico was than that of Washington.So, we can use the formula as:log (11) = M1 - M2log (11) = 8 - 6.8log (11) = 1.2We know that if the difference in magnitude of earthquakes is 1, the energy released by them would be different by a factor of 10.So, if the difference in magnitude is 1.2, then the energy released by them would be different by a factor of 10^1.2.

Therefore, the earthquake in Mexico was approximately 15.85 (10^1.2) times more intense than the earthquake in Washington State, in terms of the energy released. This can be written as:15.85 times more intense. Thus, the answer is 15.85.

Learn more about earthquake here,

https://brainly.com/question/248561

#SPJ11

Answer:

4. 6.6

1. 9043

2. 0.52

Step-by-step explanation:

3+2.24+1.36=6.6

10000-957

1.3-0.78

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

Learn more about prime factorizations:

https://brainly.com/question/1081523

#SPJ1

The value of z if the area to the right of z is 0.4404 is; 0.15

To find the value of z if the area to the right of z is 0.4404 is expressed as; P(Z > z) = 0.4404

Now, this means we have to go and trace the value of this area on the standard normal distribution table to know that z-score that it represents.

Now, by looking at the table of standard normal distribution, we can trace that the z-score area to the right of z is 0.4404 is;

z = 0.15

Thus, we conclude that the z-score above is the required one for the given area.

Read more about Probability of z-score at; https://brainly.com/question/25638875

#SPJ1

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

The number of people who had severe water shortage in standard form is  2.7 × 10⁸.

Percentage, denoted by the symbol '%', is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Given,

Population of the world in 2007 = 6 000 000 000 = 6 × 10⁹ = 6 billion

Percentage of people who had severe water shortage = 4.5%

Number of people who had severe water shortage = 4.5% × 6 billion

                                                                                      = (4.5/100) × 6 billion

                                                                                      = 0.045 × 6 × 10⁹

                                                                                      = 0.27 × 10⁹

                                                                                      = 2.7 × 10⁸

Hence the people who had severe water shortage is 2.7 × 10⁸.

Learn more about Percentage here :

https://brainly.com/question/29123711

#SPJ1

Answer:

\(9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15\)

Step-by-step explanation:

The given expression is :

\(9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15\)

We need to prove that LHS is equal to RHS.

Taking LHS,

\(=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}\)

\(=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS\)

Hence, LHS = RHS.

Answer:

87+52=139 180-139 = 41

41 is the measurement of the other side

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

We're going from 100 to 140 acres. So the change is 140 - 100 = 40.

The given fraction can be rewritten as the sum of three smaller fractions. The first small fraction has a numerator of "8x² + 115" and a denominator of "3(x² - 10)". The second small fraction has a numerator of "3x^2 + 39" and a denominator of "3x(x² - 10)". The third small fraction has a numerator of "200" and a denominator of "3x(x² - 10)".

The given fraction can be rewritten as the sum of three smaller fractions.

The first small fraction is made up of a numerator that consists of the expression,

= 8x² + 115

divided by a denominator that consists of the expression,

= 3(x² - 10)

The second small fraction has a numerator of

= 3x² + 39

and a denominator of "3x(x² - 10)".

The third small fraction has a numerator of "200" and a denominator of = 3x(x² - 10)

When these three small fractions are added together, they equal the original fraction.

Learn more about partial fraction decomposition at

https://brainly.com/question/29097300?referrer=searchResults

#SPJ4

The constraint that ensures options (Xo) cannot exceed cash (Xc) and stocks (Xs) combined is  Xo <= Xc + Xs. The correct option is (2).

This constraint states that the amount invested in options (Xo) should be less than or equal to the sum of the amounts invested in cash (Xc) and stocks (Xs).

This ensures that the investment in options does not exceed the combined investment in cash and stocks.

Options are subject to this constraint because the problem statement specifies that options cannot exceed stocks and bonds combined.

By including cash in the constraint, it ensures that options are limited to the remaining amount after accounting for cash and stocks.

To summarize, the constraint Xo <= Xc + Xs ensures that options cannot exceed the combined investment in cash and stocks.

To know more about constraints refer here:

https://brainly.com/question/13643976#

#SPJ11

Answer:

No, he is incorrect because a pattern is not a repeating decimal.

Answer:

ask this braslate which matirias

Two circles intersect at points A and B and have a common external tangent that is tangent to the circles at points T and U, M be the intersection of line AB and TU. If AB = 9 and BM = 3, then TU will be equal to 9.6.

In order to find the length of TU, We can use the Pythagorean theorem to find the length of TU. We know that AB = 9, and BM = 3, so the length of AM must be 6. We can then use the Pythagorean theorem to solve for TU:

TU = √(62 + 92) = √93 = 9.6.

Therefore, the length of TU is 9.6.

You can learn more about external tangents at: brainly.com/question/13005496

#SPJ11

Adding 1/3 and 1/4 gives 7/12, and working out 2/5 of 8 gives 3.2. These calculations involve basic fraction arithmetic

To add 1/3 and 1/4, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can rewrite 1/3 as 4/12 and 1/4 as 3/12. Then, adding these fractions gives:

1/3 + 1/4 = 4/12 + 3/12 = 7/12

So, 1/3 plus 1/4 equals 7/12.

To work out 2/5 of 8, we can multiply 8 by 2/5. Multiplying a fraction by a whole number is the same as dividing the whole number by the denominator of the fraction and then multiplying by the numerator. So, we have:

2/5 of 8 = 8 x 2/5 = (8 ÷ 5) x 2 = 1.6 x 2 = 3.2

Therefore, 2/5 of 8 is equal to 3.2.

In summary, adding 1/3 and 1/4 gives 7/12, and working out 2/5 of 8 gives 3.2. These calculations involve basic fraction arithmetic and can be useful in many situations, such as calculating proportions, proportions of mixtures, or determining the outcome of certain probability experiments.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer: x = -5

Step-by-step explanation: The green x's represent positive x's, the yellow 1s represent positive numbers, and the red 1s represent negative numbers. So if you count everything your equation should look like 5x + 4 = -21. First you want to do the opposite of the plus 4, which is subtracting 4. That way the x is by itself on the left side of the equal sign. But what you do to one side you have to do to the other. So then you subtract 4 from -21. But because 21 is already negative it would equal -25. Now your equation should look like 5x = -25. Just divide by 5 for both sides and your x equals -5.

Answer:

2/5

Step-by-step explanation:

2/5 x 7/8 = 7/8 x 2/5

14/40 = 14/40

Helping in the name of Jesus.

Answer:

1.009748e+12

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3

Answer:

b

Step-by-step explanation:

when I muiltply an and divide. if there are two negatives it makes a positive an if there jus one it's a negative

Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

Learn more about points here:

brainly.com/question/18481071

#SPJ11

Answer:

They are different because they are not similar and they have different answer at the end

Answer:

Step-by-step explanation:

f(x) = -x² - 14

f(9) = -9² -14 = -81-14 = -95

The word or phrase no which best describes this kind of advertising is inaccurate.

The correct answer option is option B

Mode refers to a statistical data which occurs most in a given set of data.

Advertisement can be defined as a commercial solicitation by a producer to the public in order to buy his product.

Given data:

$7, $8, $8, $15, $15, $16, $17, $18, and $20

Hence, it can be said that the mode of the most popular meals is not $8

Therefore, using $8 as a kind of advertisement for the mode of most popular meals is inaccurate

Read more on mode:

https://brainly.com/question/12047942

#SPJ1

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

To know more about Horizontal line test, visit:

https://brainly.com/question/28208081

#SPJ4

Answer:

25%

Step-by-step explanation: