calcula correctamente cada una de las ecuaciones de la recta.
pasa por los puntos a(4,-6) y b(-5,3)

Answer: Two cupcakes, unless it wants both, then I'd assume 2 cookies, one cupcake.

Step-by-step explanation:

Two cupcakes; 3 + 3 / 3 x 2 = 6

Cookies and cupcakes; 2 + 3 + 2 = 7

The length of the fence (including the gates) that was built around the park is (4w + 50) feet.

Here, we are given that a rectangular park is w ft wide and the park is 25 ft longer than its wide.

Thus, the length of the park = (w + 25) ft

Now, the park has to be fenced along all of its sides. Thus, we need to find the perimeter of the rectangular park.

The perimeter of a rectangle is given as-

2( length + breadth)

Thus, here, the perimeter will be-

2( w + 25 + w )

= 2( 2w + 25 )

= 4w + 50

Thus, the length of the fence (including the gates) that was built around the park is (4w + 50) feet.

Learn more about rectangles here-

https://brainly.com/question/25292087

#SPJ1

Given:

The length of the parallel sides,

a=17.4 m

b=44.1 m

The height, h=23.5 m

The measurements of the other two sides are,

c=27.5m and d=26.6m.

To find the area of the trapezium:

Using the formula,

Hence, the area of the figure is 722.6 sq. m (rounded to the nearest tenth).

To find the perimeter of the trapezium:

Hence, the perimeter of the figure is 115.6 m.

Answer:

Context? You need to have some information or a picture.

Step-by-step explanation:

She needs to invest $[tex]300,000\\[/tex] in project A and $[tex]200,000[/tex] in project B in order to maximize the return on her investment.

Since a financier has $[tex]500,000[/tex] which she needs to invest in two projects named A and B

Out of the two projects A and B, project B is giving higher rate of return on the investment so maximum investment needs to be done on the project B

Hence in project B total percentage of investment will be [tex]40%[/tex]% which is also given it needs not to exceed more than [tex]40[/tex]%

Hence the investment amount on the project B is [tex]40[/tex]% of $[tex]500,000[/tex]

which is [tex](0.4)*$500,000[/tex] which is equal to $[tex]200,000[/tex] which is an investment in project B

Now the investment in project A will be $[tex]500,000[/tex]-$[tex]200,000[/tex]=$[tex]300,000[/tex]

Hence she needs to invest $[tex]300,000[/tex] in project A and $[tex]200,000[/tex] in project B.

To know more about investments, and rate of return here https://brainly.com/question/16448235

#SPJ1

3. The slope of the line through the  points (0, 10) & (24, 6) is  [tex]\frac{1}{4}[/tex]

4. The slope of the line through the points (0, 6) & (20, 14) is  [tex]\frac{2}{5}[/tex]

The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope of a line, or a section of a line connecting two points, is a measure of its steepness.

Or. A line's slope is the ratio of how much y increases as x increases by some amount. The slope-intercept form of an equation is when the equation of a line is written in the form y = mx + b. The slope of the line is given by m. And b is the value of b in the y-intercept point (0, b).

How are the slopes calculated?

3. We know that , slope = m

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1}, y_{1})=(0, 10)\\\\(x_{2}, y_{2})=(24, 16)[/tex]

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m= \frac{16- 10}{24 -0}\\\\m= \frac{6}{24}\\\\m=\frac{1}{4}[/tex]

4. We know that , slope = m

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1}, y_{1})=(0, 6)\\\\(x_{2}, y_{2})=(20, 14)[/tex]

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m= \frac{14- 6}{20 -0}\\\\m= \frac{8}{20}\\\\m=\frac{2}{5}[/tex]

To learn more about slopes, refer:

https://brainly.com/question/3493733

#SPJ9

The distance between the Earth and the Sun is 1.5 extend eight kilometers, and the distance between Mars and the Sun is 2.2 8 X 10 eight kilometers. The scientific notation for the distance between Earth and Mars is 3.78 x 10^8 km.

The length of the line connecting two points is the distance between them. If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical coordinates.

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.

Given,

The distance between Earth and Sun = 1.5 x 10^8 km

The distance between Sun and Mars = 2.28 x 10^8 km

Therefore the distance between Earth and Mars =

(1.5 x 10^8 + 2.28 x 10^8) km

= (1.5 + 2.28) x 10^8 km

= 3.78 x 10^8 km (Ans)

To learn more about decimal addition, refer to:

https://brainly.com/question/19127052

#SPJ10

The ordered pair of the solution of the equations -5x-4y=3 and 3x+10y=-17 is (1,-2).

The provided equations are,

Equation 1,

-5x-4y=3

Equation 2,

3x+10y=-17

Both the equations are linear equations is two variables,

We can use substitution method to solve these two equations,

From equation 1 we get,

-5x-4y=3

y = (-5x-3)/4

Now, substituting the value of y in equation 2,

we get,

3x+10( (-5x-3)/4)=-17

Solving and simplifying,

12x-50x-30 = -68

-38x = -38

x = 1,

Now, substituting x = 1 in equation 2,

we get,

3(1)+10y=-17

10y = -20

y = -2.

So, the ordered pair is (1,-2).

To know more about substitution method, visit,

https://brainly.com/question/22340165

#SPJ1

Answer:

J':  (3, 6)

K':  (3, 4)

L':  (0, 4)

Step-by-step explanation:

When we translate a point 4 units right, the x-coordinate of the point increases by 4 units, the y-coordinate remains the same

When a point is translated 3 units down, the y coordinate increases by 3 units, the x-coordinate remains the same

When you translate by 4 units right and 3 units down both x and y coordinates increase by 4 and 3 respectively

So when we apply this translation to the triangle, every point on that triangle, (x, y) changes to (x + 4, y + 3)

If we take the vertices of the triangle we see that the 3 vertices are
J(-1, 3)   K(-1, 1) and L(-4, 1)

After applying the translation:
J(-1, 3) ==> J'(-1 + 4, 3 + 3) ==> J'(3, 6)

K(-1, 1) ==> K'(-1 + 4, 1 + 3) ==> K'(3, 4)

L(-4, 1)  ==> L'(-4 + 4, 1 + 3) ==> L'(0, 4)

Student solved the case without assistance

Answer:

b)

Step-by-step explanation:

2x+y=7

2x=7-y

x=(7-y)/2

Answer: B

Step-by-step explanation:

n

The provided expression is equivalent to the expression mentioned in option (C) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The number expression is:

[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} }[/tex]

After applying the integer exponent property:

[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} } \times\dfrac{\sqrt[3]{2^2} }{\sqrt[3]{2^2} }[/tex]   (rationalization)

[tex]= \dfrac{\sqrt[4]{6} \times\sqrt[3]{2}}{2 }[/tex]

= [tex]\rm \dfrac{\sqrt[12]{55296} }{2}[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Thus, the provided expression is equivalent to the expression mentioned in option (C) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

The function for the area as a function of s, the sidel enght, is:

h(s) = ( (√3)/4 + 1)*s²

Here we know that for an equilateral triangle of side length s, the area is:

f(s) = (√3)*s²/4

And for a square of side length s the area is:

g(S) = s²

in this case we have a figure that is composed of these two simpler figures, so the total area of our figure will be equal to the sum between the area of the equilateral triangle of side length s and the square of side length s, so we get:

h(s) = f(s) + g(s) = (√3)*s²/4 + s² = ( (√3)/4 + 1)*s²

Learn more about areas:

https://brainly.com/question/24487155

#SPJ1

The measurements pairs that could be the dimensions of Rectangle B are: 80 cm by 20 cm

18 cm by 4.5 cm

6 cm by 1.5 cm

A scaled copy is a copy of an image in which the dimensions of the initial image is multiplied by the same number.  A scaled copy can either be a smaller version of the original image or a larger version of original image.

Is 80 cm by 20 cm the dimensions of Rectangle B:

80 / 12 = 6.7

20 / 3 = 6.7

The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.

Is 18 cm by 4. 5 cm the dimensions of Rectangle B:

18 / 12 = 1.5

4.5 / 3 = 1.5

The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.

Is 6 cm by 1.5 cm the dimensions of Rectangle B:

6 / 12 = 0.5

1.5 / 3 = 0.5

The ratio of the lengths and widths are the same. Thus, the dimensions might the for Rectangle B.

Is 10 cm by 2 cm the dimensions of Rectangle B:

10 / 12 = 0.83

2/ 3 = 0.67

The ratio of the lengths and widths is not the same. Thus, the dimensions cannot be for Rectangle B.

Is 13 cm by 4 cm the dimensions of Rectangle B:

13 / 12 = 1.08

4/ 3 = 1.33

The ratio of the lengths and widths is not the same. Thus, the dimensions cannot be for Rectangle B.

To learn more about scaled copy, please check: https://brainly.com/question/28230113

#SPJ1

Answer:

6 students have their own cell phone and 3 of them can use social media.

Step-by-step explanation:

One fifth of 30 is 6. One half of six is 3.

The number of ounces of oats and dried fruit are needed for different numbers of servings are as follows:

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this scenario, we know that the ratio of the number of ounces of oats (O) in one serving to the number of ounces of dried fruit (D) in one serving is equal to 4 to 7.

For 2 servings, the ratio would be given by:

O:D = 2 × 4 : 2 × 7 = 8:14

Therefore, we have 8 ounces of oats and 14 ounces of dried fruit.

For 6 servings, the ratio would be given by:

O:D = 6 × 4 : 6 × 7 = 24:48

Therefore, we have 24 ounces of oats and 48 ounces of dried fruit.

For 7 servings, the ratio would be given by:

O:D = 7 × 4 : 7 × 7 = 28:49

Therefore, we have 28 ounces of oats and 49 ounces of dried fruit.

Read more on ratio here: https://brainly.com/question/28083504

#SPJ1

Answer:

a = 4.

Step-by-step explanation:

7a + 6 =34

7a + 6 - 6 = 34 - 6

7a = 28

a = 28/7

a = 4.

According to the given data we have the following proportion:

8hours/10 workers = Xhours/15 workers

A) The above proportion is not appropiate for solving the problem.

Since, the relationship between the number of workers and the time taken for sewing is an inverse relation:

The above proportion is just a direcly proportional relation.

B). As I stated above the relationship between the number of workers and the time taken for sewing is an inverse relation, hence, if the number of workers doubles then the number of time taken reduces to half.

So, since 15=10*15/10

therefore, time taken for 15 workers to sew pants is:

8/ 15/10 = 8* 10/15

=5 1/3 hours.

The time taken for 15 workers to sew pants is 5 1/3 hours.

The equation that represents the relationship between the weight and number of oranges is [tex]w[/tex]·[tex]g=24.5[/tex]

What is an equation?

An equation is a formula which represents the equality between two expression.

We are given each orange weight the same.

Let the weight of one orange be [tex]w[/tex].

Also we are given that there are [tex]g[/tex] oranges in the crate

Also the weight of the crate is 24.5 pounds

Now the equation representing the relationship between weight and number can be given by

[tex]w[/tex]·[tex]g=24.5[/tex]

Hence the equation representing the relationship between weight and number can be given by [tex]w[/tex]·[tex]g=24.5[/tex]

To learn more about the equation please refer

https://brainly.com/question/22688504

#SPJ9

The value of g(-4) from the function is 1

A function can be defined as a law, rule or theorem that asserts or explains the relationship between two variables in an equation or expression.

These variables are called;

Given the functions as;

To determine g(-4), we can see that the first function of g(x) would be used.

We have;

g(-4) = [tex]\sqrt[3]{x + 5}[/tex]

Substitute the value of x as - 4, we have;

g(-4 = [tex]\sqrt[3]{-4 + 5}[/tex]

g(-4) = ∛1

Find the cube root

g(-4) = 1

Hence, the value is 1

Learn more about functions here:

https://brainly.com/question/2328150

#SPJ1

Answer:

3. ∠A = 110°

4. ∠H = 70°

5. ∠D = 70°

6. ∠F = 70°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (sum to 180°).

⇒ ∠A + ∠B = 180°

⇒ ∠A + 70° = 180°

⇒ ∠A = 110°

In a parallelogram, opposite angles are congruent.

⇒ ∠C = ∠A = 110°

⇒ ∠D = ∠B = 70°

If two parallelograms are similar, their corresponding interior angles are congruent.

⇒ ∠A = ∠E = 110°

⇒ ∠B = ∠F = 70°

⇒ ∠C = ∠G = 110°

⇒ ∠D = ∠H = 70°

Given:

Find-: Graph of inequality.

Sol:

Graph of inequality.

Inequality.

Graph is:

Graph of both inequality is:

Answer: 5 feet

Step-by-step explanation:

The kangaroo added 2 feet of length to the shadow, therefore adding 2 feet of length of the 5 foot tree.

7-2=5

( sorry if it's confusing ^^ )

The Food cost pf your restaurant would be $70,000

In this question, we have been given an opening inventory is $60,000, purchases = $40,000 and closing inventory is $30,000

We need to find the cost of food.

We know that the formula for food cost:

Food cost = Opening Inventory + Purchases - Ending Inventory

Food cost = $60,000 + $40,000 - $30,000

Food cost = $1,00,000 - $30,000

Food cost = $70,000

Therefore, the Food cost pf your restaurant would be $70,000

Learn more about the inventory here:

https://brainly.com/question/13222965

#SPJ1

Answer: 0.25$ or a quarter

Step-by-step explanation:

Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.

3.50/14 = 0.25$

3.50 divided by 14

Each pencil cost a quarter

Answer:

B = 3V/h

Step-by-step explanation:

The formula V = Bh/3 shows how to find the volume of a pyramid where V is volume, B is Base Area and h is height. Solve for B.

V = Bh/3

multiply both sides by 3:

3(V) = 3(Bh/3)

3V = Bh

divide both sides by h:

3V/h = Bh/h

B = 3V/h

From the given table 4 cups of punch need 3 cups of water

Then we can use the ratio method to solve the question

Punch: Water = 4: 3

Since we need 48 cups of punch, then

Punch: Water

4. 3

48. x

By using cross multiplication

Divide both sides by 4

To make 48 cups of punch you need 36 cups of water

The answer is C

Answer:

it would be  4.5 or 4.50 for the Cortez and the Lees payed 4 dollars

Step-by-step explanation:

Answer:

-1.5,-1 1/4, -1/5, 0.25

-.76,-3/4,7/10, 1.7