Natalina packs 25 boxes in a 2 hour shift. How many boxes can be packed in a 7.5 hour shift?

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

This is our equation

[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]

First off we can distribute the 2.5 and the 4

Now our equation is [tex]15x-10=10+6+2x[/tex]

subtract [tex]2x[/tex] from both sides

[tex]13x-10=16[/tex]

add [tex]10[/tex] to both sides

[tex]13x=26[/tex]

Divide both sides by [tex]13[/tex]

[tex]x=2[/tex]

Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

Answer:

(1, -7)

Step-by-step explanation:

P(3,4)

3 up ---> y = 4 + 3 = 7

2 left ----> x = 3 - 2 = 1

new point (1, 7)

after 180 rotation around origin

point is (-1, -7)

now reflection over y-axis

(1, -7)

Answer:

[tex](1,-7)[/tex]

Step-by-step explanation:

Refer to the image below

Answer:

See answer below.

Step-by-step explanation:

y - 7 = -1/4(x - 4)

y - 7 = -1/4(x - 4)   in point slope form  

In slope intercept form: y - 7 = -1/4x + 1

                                       y = -1/4 x + 8

Answer:

14.8

Step-by-step explanation:

7.4 * 2 = 14.8.

hope this helps

Answer:

54.76[tex]cm^{2}[/tex]

Step-by-step explanation:

The area of a shape is base times height. bh

Since this is a square, all of the sides are the same length. Meaning 7.4*7.4 to make 54.76cm^2.

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

Using a system of equations, it is found that there are:

For the system, we have that:

Combined, there are 199 rooms, hence:

[tex]x + y + z + w = 199[/tex]

The number of rooms exceeds the  number of bathrooms and fireplaces by 68, hence:

[tex]x = y + z + 68[/tex]

The difference between the number of fireplaces and elevators is  23, hence:

[tex]z - w = 23[/tex]

If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:

[tex]2y = z + w + 47[/tex]

Replacing the third equation into the fourth:

[tex]z = 23 + w[/tex]

[tex]2y = z + w + 47[/tex]

[tex]2y = 23 + w + w + 47[/tex]

[tex]2y = 2w + 70[/tex]

[tex]y = w + 35[/tex]

Then, from the second equation:

[tex]x = y + z + 68[/tex]

[tex]y + z = x - 68[/tex]

We can solve for w, considering that:

[tex]y = w + 35[/tex]

[tex]z = 23 + w[/tex]

[tex]y + z = x - 68[/tex]

[tex]x = y + z + 68[/tex]

[tex]x = w + 35 + w + 23 + 68[/tex]

[tex]x = 2w + 126[/tex]

[tex]x + y + z + w = 199[/tex]

[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]

[tex]5w + 184 = 199[/tex]

[tex]5w = 15[/tex]

[tex]w = \frac{15}{5}[/tex]

[tex]w = 3[/tex]

Then, solving for the other variables:

[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]

[tex]y = w + 35 = 3 + 35 = 38[/tex]

[tex]z = 23 + w = 23 + 3 = 26[/tex]

There are:

A similar problem is given at https://brainly.com/question/17096268

Step-by-step explanation:

the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.

so,

y² + 7 = 32

y² = 25

y = 5

2y² = k

2×5² = k

50 = k

the opposite angle of 150 is also 150 degrees.

the opposite angle of x is also x.

so, we have as sum of angles

360 = 150 + 150 + x + x = 300 + 2x

60 = 2x

x = 30 degrees

Answer:

c

Step-by-step explanation:

Answer: Refer to figure 1 for the diagram needed.

A ' = (-1, 2)

B ' = (-6, 1)

C ' = (-7, 6)

D ' = (-3, 7)

Area = 24 square units

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

Explanation:

Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.

To reflect any given point over the y axis, we apply this rule

[tex](x,y) \to (-x,y)[/tex]

which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.

After all of the points have been reflected, you'll get what is shown in figure 1.

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

To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.

The area of rectangle FEHG is 6*6 = 36 square units

Then we subtract off the areas of these four outer triangles

Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/y

1 is C

2 is D

3 is C

4 is A

5 is D

5 is A

7 is B

Answer:

4:30

Explanation:

Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30

Step-by-step explanation:

hey.....

how are uh

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

Answer:

No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.

Answer:

D I believe

Step-by-step explanation:

Answer:

D=12 cm

Step-by-step explanation:

please check the image for the answer. Thank you .

Answer:

x = 5/4

Step-by-step explanation:

x-3=2-3x​

Add 3x to each side

x+3x-3=2-3x​+3x

4x-3 = 2

Add 3 to each side

4x-3+3 = 2+3

4x =5

Divide each side by 4

4x/4 = 5/4

x = 5/4

Answer:

5/4

Step-by-step explanation:

[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]

Combine all like terms by moving them to their respective sides, then simplify as best you can.

Answer:

D

Step-by-step explanation:

Perpendicular lines intersect to create right angles. That rules out A and B because both have a right angle in them. C has two lines that are parallel. The only one left is D which is neither parralell or perpendicualar.

Answer:

dimes

Step-by-step explanation:

Answer: dimes

Step-by-step explanation:

Answer:

Step-by-step explanation:

a linear equation is of degree 1.

It is of degree 2 so it is not a linear equation.

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

Learn more about the quotient here:

brainly.com/question/27796160

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Answer:

  $87.50

Step-by-step explanation:

To answer this question, you make use of the formula for simple interest:

  I = Prt

This is the interest I on principal amount P at annual rate r for t years.

You have P = $3500, r = 0.025, t = 1, so the interest is ...

  I = $3500×0.025×1 = $87.50

You would receive $87.50 in interest on your savings account.

_____

Additional comment

Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.

__

We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.

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Answer:

1. Substitute 9 for y..............................3 x y

2.  Substitute 3 for X .......................................3x 9

3.   multiply ................................... 27                                        

Step-by-step explanation:

Answer:

I dont know if this is right but... i tried XD

Step-by-step explanation:

Angle A is congruent to angle C.

A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.

If XYZ is a triangle, it is represented as ΔXYZ

Here, it is given that BD is the perpendicular bisector of AC.

Then by the definition of perpendicular bisector, B is the midpoint of AC.

Consider ΔABD and  ΔCBD

ΔABD and  ΔCBD are right triangles with  ∡ABD =  ∡CBD = 90°.

So,  ∡ABD ≅  ∡CBD   (∵ all right angles are congruent)

Now, by the reflexive property of congruence, every side or angles are congruent to itself.

So BD ≅ BD

Since B is the midpoint of AC, AB = BC.

Hence AB ≅ BC

By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.

Hence ΔABD ≅ ΔCBD

So, Angle A is congruent to angle C.

Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.

To learn more about congruence of triangles, click:

https://brainly.com/question/10677854

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Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet.  We could also solve the equation for h = 64.

Graphing:

A graph is attached.  The intersections of the line at height = 64 feet are at (1,64) and (4,64).  The first is going up and the second coming down.  The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers:  1 and 4 (seconds)

Answer- 15.8 Miles

Explanation photo was given above.