Two seamstresses sew 5 curtains in 3 hours. How many curtains will 12 seamstresses sew in the same time if the seamstresses all work at the same rate?

Answer: 7/12

Step-by-step explanation:

3/5=0.6

5/7=0.71428571428

9/15=0.6

4/6=0.66666

7/12=0.583333

Answer: 7/12

Step-by-step explanation:

I have attached my work.

A lineal equation has the next form:

where m is the slope and is calculated as follow:

For this case

y1=20

y2= 25

x1=12

x2= 5

so:

then the equation will be:

Using one of the points we calculate the b

we are going to use y=25 x=5

Clearing the b we get:

b=200/7 or b=28.57

A lineal equation has the next form:

where m is the slope and is calculated as follow:

For this case

y1=20

y2= 25

x1=12

x2= 5

so:

then the equation will be:

Using one of the points we calculate the b

we are going to use y=25 x=5

Clearing the b we get:

b=200/7 or b=28.57

Answer

The graph of the function f(x) = -(x - 3)² - 2, is presented below

Explanation

We are told to graph a given function

f(x) = -(x - 3)² - 2

The first step into making this easy is to open the bracket.

f(x) = - (x² - 6x + 9) - 2

f(x) = -x² + 6x - 9 - 2

f(x) = -x² + 6x - 11

The next step is then to insert different values of x into the function and obtain the corresponding value of the function. This set of ordered pairs arethen plotted to form the graph.

The graph is then plotted and presented under 'Answers' above.

Hope this Helps!!!

To solve this equation, we need to subtract both, 9c - 3c:

Dividing by 6 at both sides of the equation

Then

Then the answer C = 8. (Option D)

Answer:

a) 3 sets of opposite faces

b) The given figure is called a rectangular prism because its bases( the bottom face and the top face) are both rectangles.

Explanation:

a) Looking at the given rectangular prism and counting the faces, we can see that there are 6 faces in all. Out of the 6 faces of the rectangular prism, we can see that there are 3 pairs of opposite faces.

b) A prism is any 3-dimensional shape that has two identical shapes called bases facing each other.

If the two identical shapes facing each other are rectangles, then the prism is termed a rectangular prism.

Therefore, we can say that the given figure is called a rectangular prism because its bases ( the bottom face and the top face) are both rectangles.

she spent 525 on Food

she spent 750 on rent

she spent 775 on others

she spent 450 on fun

Explanation

to find the value of the percentage of any number just use this formula

so

to find the values, apply the formula

Step 1

a) food :21 %

so

it means she spent 525 on Food

Step 2

b) Rent:30 %

so

it means she spent 750 on rent

Step 3

c)other:31 %

so

it means she spent 775 on others

Step 4

d)Fun:18 %

so

it means she spent 450 on fun

I hope this helps you

The equation is given as,

Transpose the term,

Taking logarithm on both sides,

Consider the formula,

Applying the formula,

Thus, the solution of the given exponential equation is approximately equal to,

A rational value that is less than zero is -√4.

An irrational value greater than five is 5 1/9.

A rational value between 10 and 20 is √225.

A rational number is a number that can be expressed as a fraction of two integers. A rational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of rational numbers are 100, -0.5.

A irrational number is a number that cannot be expressed as a fraction of two integers. An irrational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of irrational numbers are 22/7, 1-/9.

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Answer:

**NEED USEFUL ANSWER ASAP, H.W QUESTION**

Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?

Step-by-step explanation:

The length of rectangle is : 6ft .

Width of rectangle is : 5.5ft .

The area of rectangle is :

A = l × w

Here given,

length is 5ft less than twice the width,

So the equation can be represented in terms of length as,

l = 2w - 5

Given area = 33sqft

By substituting value of length,

33 = (2w - 5) × w

By applying distributive property,

33 = 2w² - 5w

= 2w² - 5w - 33

By factoring the equation:

(2w - 11)(w + 3) = 0

To find value of zeros,

2w - 11 = 0

2w = 11

w = 5.5

Similarly,

w + 3 = 0

w = -3

Since width cannot be negative , the width will be:

the width = 5.5 ft.

Also find length by substituting value of width in equation,

33 = 5.5l

33/5.5 = l

l = 6 ft.

∴ The  length = 6ft, and width = 5.5ft.

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Answer:

The expression is c-6. She gave away 6 cards so subtract 6 from the original number which is c.

Answer

Option B is correct.

Percent of students that scored above 86% = 18%

Explanation

To find the percentage of students that scored above 86%, we will need to add the percent of the bars for all the scores greater than 86%.

For 87%, the bar is 8%

For 88%, the bar is 5.8%

For 89%, the bar is 2.2%

For 90%, the bar is 2%

So,

Percent of students that scored above 86% = 8 + 5.8 + 2.2 + 2 = 18%

Hope this Helps!!!

Given:

Domain:

Solution:

Given the function;

The graph of the function is;

ANSWER:

The measurement that cannot be taken directly in 2-D is depth

What do you mean by measurement?

Measurement is the quantification of an object's or event's properties for comparison with other objects or occurrences. Measurement, in other terms, is the act of establishing how large or little a physical amount is in comparison to a fundamental reference quantity of the same sort. The scope and use of measurement are context and discipline dependent. Measurements do not apply to nominal qualities of things or events in natural sciences and engineering, which is compatible with the recommendations of the International Bureau of Weights and Measures' International lexicon of metrology. However, measures in other domains, such as statistics and the social and behavioral sciences, can have numerous levels.

The measurement that cannot be taken directly in 2-D is depth

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`Answer:

h(x) = -x^2/2 - 4x + 32

Explanation:

The standard form of a quadratic equation is expresssed as

ax^2 + bx+c

Writing the given equation h(x)= -1/2 (x+4)^2 +10 in stabdard form will give;

h(x)= -1/2 (x+4)^2 +10

h(x)= -1/2 (x^2+8x+16)+40

h(x)= -x^2/2 - 4x - 8 + 40

h(x) = -x^2/2 - 4x + 32

Hence the equation in standard form is expressed as h(x) = -x^2/2 - 4x + 32

Answer:

The function is given below as

Using the interval below

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Using a graphing tool, we will have the relative maximum and relative minimum to be

Hence,

The relative maximum is at

The relative minimum is at

The hole appears in the rational function when the numerator and the denominator have the same zeroes

Since the rational function is

Factorize the denominator

The rational function h(x) is

Since (x + 7) is in both numerator and denominator

Then there is a hole at x + 7 = 0

Let us find the value of x

The whole is at x = -7

Then simplify the fraction to find the value of y at x = -7

Cancel the bracket (x+7) up by the same bracket down

Substitute x by -7

The hole is at (-7, -1/14)

AB in 1:3 ratio, Find a pointwhere on one side there is 1/4 of AB and in the other side 3/4 of AB:

SOLUTION

From the question, the athlete eats 45 g of protein in a day. This means that in 23 days the athlete will eat

Hence the answer is 1 035 g of protein, or 1.035 kg of protein.

Note that: To change grams to kilograms, we divide by 100.

x-intercepts

1) In a quadratic equation, the Real solutions correspond to the points in which the parabola intercepts the x-axis.

2) Note that when the roots are not real solutions, then we'd have complex numbers and the parabola wouldn't intercept the x-axis.

3) Therefore, the answer is: x-intercepts

The first term is a=10.

The number of terms is n=44.

The common difference is d=4.

The formula for the sum of n terms is,

Determine the sum of first 44 terms of the series.

So answer is 4224.

Let:

x = number of 40-pound boxes

y = number of 65-pound boxes

The forklift can carry up to either 45 boxes

This means:

The forklift can carry up a weight of 2,400 pounds:

This means:

1. replace g(x) with y:

2.Replace every x with a y and replace every y with an x

3. Solve for y:

4. Replace y with g−1(x) g− 1 ( x ):

Step 1:

Write the two systems of equations

4x - 3y = 3

5x - 4y = 3

Step 2:

Use the elimination method to eliminate y.

Final answer

x = 3

The linear function is given by 5200+350x = 750x

What is linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

Amount spent to obtain merchandise = $5,200

Cost of general expenses = $350

Earnings from sales per week = $750

Now,

Let 'x' be the number of weeks taken to make profit

thus,

Total cost involved = $5,200 + ( $350 × x )

Total profit from sales = $750 × x

Now, the number of weeks after that the cost and earning will be equal, will be given by

5200+350x = 750x

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The value of x nodes given quadrilateral ​is 80° which is determined by the measure of the supplemental interior angle.

A quadrilateral is a polygon with four sides. This also indicates that a quadrilateral has four vertices and four angles.

Exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

First, we have to find the measure of the supplemental interior angle

Here take the exterior angle1 = 100° and  exterior angle2 = 60°, find its interior angles

⇒ 100 + int.1 = 180 ⇒ int.1 = 180 - 100 = 80°

⇒ 60 + int.2 = 180 ⇒ int.2 = 180 - 60 = 120°

Since the sum of all interior angles of a polygon = 360°

As per the given figure,

x + 80 + x + 120 = 360

2x = 360 - 200

2x = 160

x = 80°

Therefore, the value of x nodes given quadrilateral ​is 80°.

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From the question given, we have the following data;

Height of the tree = 80 feet

Angle of elevation to the top of the tree = 68 degrees

Distance from Corey to the tree = unknown

We shall now call the unknown variable x.

With that we shall have the following diagram;

We now have a diagram detailing the triangle and the dimensions showing Corey, the tree and the eagle at the tree top.

To get a better look, Corey moves several steps away from the tree and now determines his new angle of elevation to be 41 degrees.

This can now be illustrated as follows;

From triangle EDC, we shall calculate the distance from point C to point D using trigonometric ratios. The reference angle is at point C, which means the opposite side is side ED. The adjacent side is side CD (labeled x). Using trig ratios we have;

We cross multiply and we now have;

Looking at triangle EDB;

The reference angle is 41 which makes the opposite side ED and the adjacent side BD. To calculate the distance BD, we'll have;

Take note that the distance Corey moved before he had a new angle of elevation is line segment CD which is indicated as y. Note also that

The distance Corey stepped back is indicated as y (line segment BC).

ANSWER:

Corey stepped back 59.71 feet

it would be 75 ur welcome

Solution

As seen from the table

For each values of the table

We define the variation from K to J

When J = 2, K = -12

Therefore, the formula connecting them will be

Option B