PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.

Which statement is true?

The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.

PLEASE HELP ASAP!!!The First Figure Is Dilated To Form The Second Figure.Which Statement Is True? The

Answers

Answer 1
The scale factor is 1.25. 

10/8=1.25.
Answer 2

Answer: The answer is (a) The scale factor is 1.25.

Step-by-step explanation:  We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.

One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.

Therefore, the scale factor is given by

[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]

Therefore, the scale factor is 1.25 and (B) is the correct option.


Related Questions

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent: According to the given information, and . Using a straightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the ____________. By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the _____________. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent. What theorems accurately complete the proof?

Answers

Given a parallelogram ABCD, refer to the attached image.

To prove: Opposite angles are congruent.

Proof:

According to the given information,

Step 1: Using a straightedge, extend segment AB and place point P above point B.

Step 2: By the same reasoning, extend segment AD and place point T to the left of point A.

Step 3: Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem.

Step 4: Angles PBC and BAD are congruent by the Corresponding Angles Theorem. ( If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding angles are the angles which occupy the same relative position at each intersection where a straight line crosses two others.)

Step 5: By the Transitive Property of Equality, angles BCD and BAD are congruent.

Step 6: Angles ABC and BAT are congruent by the Alternate Interior Theorem.(The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Alternate Interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.)

Step 7: Angles BAT and CDA are congruent by the Corresponding Angles Theorem.

Step 8: By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.

The proof requires the use of specific theorems such as the Vertical Angles Theorem and Corresponding Angles Theorem to establish the congruence of angles in a parallelogram.

Theorems that accurately complete the proof:

Angles PBC and BAD are congruent by the Vertical Angles Theorem.

Angles ABC and BAT are congruent by the Corresponding Angles Theorem.

Theorem 12 states that if two angles are congruent, their supplementary angles are also congruent.

The line segment is dilated by a factor of 1/2 with respect to the origin. What is the length of the dilated line segment?

A. 1 unit


B. 2 units


C. 3 units


D. 4 units

Answers

The length of the dilated line segment is 2 units. ( option B)

A scale factor is a ratio that describes the proportional change in size between two similar geometric figures.

Scale factor = Dimension of new length /dimension of original length

The dimension of the original length is 4 units

scale factor = 1/2

let the new length be x

Therefore;

1/2 = x/4

2x = 4

x = 4/2 = 2units

Therefore, the length of the dilated segment is 2units

Can someone help me please!!!

Answers

3x + 2y = 11
3x + 2(5x - 1) = 11
3x + 10x - 2 = 11
13x = 13
x = 1
y = 11 - 3x
y = 11 - 3
y = 8
3x + 2y = 11
y = 5x -1
 Using substitution 
 3x + 2(5x-1) = 11
  3x + 10 x -2 = 11
      13x = 13 
          x = 1
but, y= 5x -1
       y = 5 (1)- 1
          = 4 
Therefore, y =4 and x = 1

Question 2
Using linear combination method
2x -3y = 13
 x+2y = -4 multiplying the second equation by 2 to eliminate x
 we get
2x - 3y = 13
2x + 4y = -8 ( subtracting the two equations)
        -7y = 21
          y = -3
To get x we substitute y with -3 in one of the equation
     x = -4 -2y
     x = -4 - 2(-3)
     x = 2
Therefore, the value of x = 2 and y =-3

Question 3
The first thing is to get a table of values for each of the equation using at least three values of x, this gives you at least three coordinates that can be used to plot the lines on the Cartesian plane.
That is; 
For; y = (1/2)x + 3
          x   y
        (2 , 4)
        (4,  5)
        (6, 6)
And for -3x +y = -2 which is the same as y =-2 +3x

        x   y
       (0, -2) 
        (1, 1)
        (2, 4)
         
Then, plot the two lines on the plane using the above coordinates,
The solution will be the point of intersection of the two lines (where the two lines plotted meet) 
 

Which of the following is a logarithmic function? A. Y=0.25X B. Y=x^0.25 c.y=log25^x d.y=(0.25)^x

Answers

I think the answer is C, y= log 25^x. Logarithmic functions are inverses of exponential functions. the inverse of exponential function y =a ^x is x = a^y. The logarithmic function y = logaX, is defined to be equivalent to the exponential equation x= a^y.

Answer:

The correct option is C .

Step-by-step explanation:

A logarithm function is written in the form of  [tex]y=log_ax[/tex],

Since, y = 0.25x is the type of function y = mx + c,

Which is the general form of a linear function,

⇒ y = 0.25x is not a logarithm function,

[tex]y=x^{0.25}[/tex] is the type of function [tex]y=kx^a[/tex], where k and a are any real number,

Which is the general form of a power function,

⇒ [tex]y=x^{0.25}[/tex] is not a logarithmic function.

[tex]y=(0.25)^x[/tex] is the type of function [tex]y=ab^x[/tex]

Which is the general form of exponential function,

⇒ [tex]y=(0.25)^x[/tex] is not a logarithmic function,

Hence, only the function in option C has written in the form of [tex]y=log_ax[/tex].

Option C is correct.

Tickets for the school play cost $17 each. Gary wrote the expression n X 17 to find the cost of n tickets to the play. He used the Distributive Property to find the product. Use the Distributive Property to write Gary's expression another way.

Answers

Well, the distributive property is that by which the multiplication of a number by a sum will give us the same as the sum of each of the addends multiplied by that number.
 We have then that the expression used by Gary:
 n = X * 17
 Using the distributive property we have another way to rewrite the expression is:
 n = 17 * X
 Where,
 x: is the sum of all tickets sold.
 Answer:
 n = 17 * X

Which graph represents the function over the interval [−3, 3]?

Answers

 In mathematics, the functions of the whole part are functions that take a real number and return a whole number, either by excess or by default.
 Function floor (or ground), that to each real number assigns the nearest whole number by defect, that is to say, the greater whole number equal or smaller than that real number.
 Let's evaluate the extremes of the interval
 x = -3
 g (-3) = floor (-3) -2 = -5
 x = 3
 g (3) = floor (3) -2 = 1
 Therefore, the graph that best corresponds to the function in the given interval is the attached graph.

Third graphrepresents the function [tex]f\left( x \right) = \left\lfloor x \right\rfloor-2[/tex] over the interval [tex]\left[ { - 3,3} \right].[/tex]

Further explanation:

Given:

The function is [tex]f\left( x \right) = \left\lfloor x \right\rfloor- 2.[/tex]

The function is defined in the interval [tex]\left[ {-3,3}\right].[/tex]

Explanation:

The greatest integer function is represented [tex]y = \left\lfloor x \right\rfloor.[/tex]

The greatest integer can also be known as floor function. The function is integral part of real numbers.

The values of greatest function [tex]f\left( x \right)= \left\lfloorx \right\rfloor- 2[/tex] in interval [tex]\left[{ - 3,3}\right][/tex] can be obtained as follows,

Substitute [tex]-3[/tex] for [tex]x[/tex] in the function [tex]f\left( x \right)= \left\lfloor x \right\rfloor- 2.[/tex]

[tex]\begin{aligned}f\left({- 3} \right)&=\left\lfloor{ - 3} \right\rfloor- 2\\&=- 3- 2\\&=- 5\\\end{aligned}[/tex]

Substitute [tex]3[/tex] for [tex]x[/tex] in the function [tex]f\left( x \right)=\left\lfloor x \right\rfloor- 2.[/tex]

[tex]\begin{aligned}f\left( 3 \right)&= \left\lfloor3\right\rfloor- 2\\&=3- 2\\&=1\\\end{aligned}[/tex]

The minimum value of the function in [tex]\left[ { - 3,3} \right] {\text{is}\: \boxed{ - 5}.[/tex]

The maximum value of the function in [tex]\left[ { - 3,3} \right] {\text{is}\: \boxed{1}.[/tex]

Third graphrepresents the function [tex]f\left( x \right)=\left\lfloor x\right\rfloor- 2[/tex] over the interval [tex]\left[{ - 3,3}\right].[/tex]

Kindly refer to the image attached.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: factor, factorization, polynomial, quadratic, cubic, greatest common factor, groups, multiplication, product, identities, common factor, expression, terms, grouping.

Determine the number of possible triangles, ABC that can be formed given angle A=30 degrees, a=4 and b=6

Answers

B=60 and C=90. I hope this helps

Answer:

One possible triangle

Step-by-step explanation:

Given that in a triangleABC given one angle A =30 , two sides a and b

We can use sine angle formula for triangles

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Substitute to get

[tex]\frac{4}{sin30} =\frac{6}{sin B} =\frac{c}{sinC}[/tex]

[tex]sin B = 0.75\\B=48.6[/tex]

C=[tex]180-30-48.6\\= 101.4[/tex]

[tex]c=8sin 101.4\\c=7.842[/tex]

There can be only one triangle

Maria sets a goal of jogging 17.5miles this week. She plans on running 2.75 miles each day for 7 days . If she follows her plan which is true

Answers

Yes, he will get 19.25 miles.
2.75 miles for 7 days = 2.75*7
19.25 miles.
She completes her goal of jogging 17.5 miles that week.

Would be glad if you answer my question!

Answers

Well, the question is asking you to transform the equation into ' p = ...' 
and it's not that you just have to divide the 'a' from both sides giving the answer as p = (px+c) ÷ a, but you have to write in terms of ' a,x and c'

so ap = px+c
1)collect all the likes to one side (ap - px = c)
2) Take the common out [ p(a-x) = c ] 
3) Divide by '(a-x)' to put equation in terms of "p="
4) therfore, p = c ÷ (a-x) 

Hope this answered your question 


Y varies inversley with x y= 0.5 x= 3 what is the value of k the constant of inverse variations

Answers

y varies inversely with x 
y = k/x

when y = 0.5, x = 3
0.5 = k/3
k = 0.5 x 3 = 1.5

k = 1.5

y = 1.5/x or y = 3/2x

Danielle poured 3/4 gallon of water from a 7/8 gallon bucket. How much water is left in the bucket?

Answers

3/4 = 6/8 after you multiply top and bottom by 2

Subtract 3/4 from 7/8 and we get
7/8 - 3/4 = 7/8 - 6/8 = (7-6)/8 = 1/8

There is 1/8 of a gallon left

A group of college students are volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 9 hours. Paulo can paint the same room in 8 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth

Answers

Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour.  Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour.  His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator.  72 is the first number that both 9 and 8 divide evenly into.  Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x.  Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x.  We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.

The combined work rate can be found by using the equation for combined rate.

The correct responses;The time it will take them working together is; [tex]\displaystyle \underline{\frac{1}{t_b} = \frac{1}{t_1} + \frac{1}{t_2} }[/tex]

The number of hours it will take them working together to paint the room is approximately 4.24 hours.  

The method by which the above responses are obtained:

The time it takes Irina to paint the room alone, t₁ = 9 hours

Time it takes Paulo to paint the room, t₂ = 8 hours

Required:

To write the equation for the combined rate of Irina and Paulo

Solution:

The equation that gives the time, [tex]\mathbf{t_b}[/tex], it will take both Irina and Paulo to paint the room together is given by the combined rate formula, as follows;

[tex]\displaystyle \underline{ \frac{1}{t_b} = \frac{1}{t_1} + \frac{1}{t_2}}[/tex]

Required:

The duration it will take them to paint the room when working together.

Solution:

The time it will take them to paint the room together is found as follows;

[tex]\displaystyle \frac{1}{t_b} = \mathbf{\frac{1}{9} + \frac{1}{8}}[/tex]

Which gives;

[tex]\displaystyle \frac{1}{t_b} = \frac{8 + 9}{9 \times 8} = \mathbf{\frac{17}{72}}[/tex]

Therefore;

[tex]\displaystyle t_b = \frac{72}{17} \approx \mathbf{4.24}[/tex]

The time it takes Irina and Paulo to paint together, [tex]t_b[/tex] ≈ 4.24 hrs.

Learn more about combined rate of work here:

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A rectangle is 2 times as long as it is wide. if the area is 18 square feet, find its perimeter.

Answers

the perimeter would also be 18 square feet

reflect point A(5, 7, 2) across the xz-plane. where will the new point be located?
(-5, -7, 2)
(-5, -7, -2)
(-5, 7, -2)
(5, -7, 2)

Answers

When the point (x, y, z) is reflected along the plane, only the coordinates of that particular plane changes (become opposite in sign) and the coordinate of 3rd coordinate remain the same.

In this case, the point A (5,7,2) is reflected along xz plane. So x and z coordinates will be opposite in signs after reflection and y coordinate will not be changed.

So after reflection along xz plane, the new point will be (-5, 7, -2). Thus 3rd option is the correct answer 

If a 10. m3 volume of air (acting as an ideal gas) is at a pressure of 760 mm and a temperature of 27 degrees Celsius is taken to a high altitude where the pressure is 400. mm Hg and a temperature of -23 degrees Celsius, what volume will it occupy? (Hint: remember the temperature must be in Kelvin)

Answers

From the combined gas law
P1V1/T1 = P2V2/T2, Where P1, V1 and T1 are the initial pressure, volume and temperature respectively, while P2,V2 and T1 are the new pressure, volume and temperatures respectively.
Thus; P1= 760 mmHg, V1=10 m^3, T1 = 27 +273 = 300 K
P2= 400 mmHg, V2= ? and T2= -23 +273 = 250K
V2 = (P1V1T2)/T1P2
      = (760×10×250)/(300×400)
      =  1900000/120000
      = 15.83 
Therefore, the new volume is 15.83 m³

Answer:

16. m3

Step-by-step explanation:

27 degrees Celsius= 27+273= 300 kelvin      

23 degrees Celsius= -23+273=250 kelvin

Combined Gas Law: P1V1/T1 = P2V2/T2      

(760mm*10 m3)/300 K=(400mm*x m3)/250 K       x= 16. m3

The volume that it will occupy is 16. m3.

(Don't forget the sig fig, 15.83--->16. because the question said 10.)

PLEASE HELP
Is this A, B, or C?

Answers

This is the sum of the first six terms of a geometric sequence. 
The sum can be written like this:
[tex]-4\frac{1-\left(\frac{1}{2}\right)^6}{1-\frac{1}{2}}=-8\left(1-\dfrac{1}{2^6}\right)\\ =-8\dfrac{63}{64}\\=-\dfrac{63}{8}[/tex]
The correct answer is the second one. 

The city of Beijing has a population of more than 10 to the 7th power people. Write 10 to the 7th power without using an exponent

Answers

10^7 = 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10 000 000

Answer:

[tex]10\times 10\times 10\times 10\times 10\times 10 \times 10[/tex]

Step-by-step explanation:

Exponentiation is the operation used to write the product of two or more equal factors. This expression can written as follows:

[tex]a^n\\\\Where:\\\\a=Base\\n=Exponent[/tex]

That is, [tex]a^n[/tex] is the product of multiplying n bases:

[tex]a^n=a\times...\times...\times a[/tex]

In this sense:

[tex]10^7=10\times 10\times 10\times 10\times 10\times 10 \times 10[/tex]

in a given circuit, the supplied voltage is 1.5 volts, and the resistor value is 3 ohms. use ohm's law to determine the current in the circuit

Answers

0.5 is the answer. I = V/ R

Final answer:

The current in a circuit with a supplied voltage of 1.5 volts and a resistance of 3 ohms is calculated using Ohm's Law (I = V/R), resulting in a current of 0.5 amperes.

Explanation:

Using Ohm's Law to Calculate Current

To determine the current in a circuit with a supplied voltage of 1.5 volts and a resistor value of 3 ohms, we can use Ohm's Law, which is stated as I = V/R, where I is the current, V is the voltage, and R is the resistance. Plugging in the values, we have I = 1.5 volts / 3 ohms. Therefore, I = 0.5 amperes or 500 milliamperes. This is the current flowing through the circuit.

Ohm's Law is a fundamental principle in physics used for analyzing simple circuits where the relationship between voltage, current, and resistance is linear. Remember that this law holds true for ohmic materials where the resistance remains constant over a range of voltages and temperatures.

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Answers

Given two functions g (x) and h (x), it is called a function composed of g with h, and we write g o h:
 We have:
 g [h (x)]
 We have then:
 g [h (x)] = ((4-x) +1) / ((4-x) -2)
 We rewrite:
 g [h (x)] = (5-x) / (2-x)
 then:
 g [h (-3)] = (5 - (- 3)) / (2 - (- 3))
 g [h (-3)] = 8/5
 Answer:
 8/5

Help please asap, thanks

can someone explain how you factor 6x^3 + 8x^2 + 2x

Answers

Factor 6x3+8x2+2x
6x3+8x2+2x
=2x(3x+1)(x+1)
Answer:
2x(3x+1)(x+1)
6x ^ 3 + 8x ^ 2 + 2x
 The first thing you should do in this case is to take out the common factor of all the terms of the expression.
 We have then:
 Step 1:
 2 * (3x ^ 3 + 4x ^ 2 + x)
 Step 2:
 2x * (3x ^ 2 + 4x + 1)
 Step 3:
 2x * 3((x + 1) * (x + 1/3))
 2 x * ( x + 1 ) ( 3x + 1 )
 Answer:
 The factored expression is: 
  2 x * ( x + 1 ) ( 3x + 1 )

in quadrilateral abcd , angle A=57 degrees , angle B=65 degrees and angle c=118 degrees What is the measure of an exterior angle at D

Answers

The total measure of the interior angles of a quadrilateral is 360 degrees
you are given 57, 65, 118
That is 240
to solve for the last angle
360-240
120
The exterior angle of a D would be the number that you add that will make it 180 degrees.
meaning 180-120 is 
The exterior angle of angle D is 60 degrees.

Hope this helps

In a Quadratic Regression problem, a graph is a perfect fit for the data when r = ? a. 1 c. 2 b. 0 d. 100 Please select the best answer from the choices provided A B C D

Answers

Answer:

the answer is A on edge :)

Step-by-step explanation:

The graph that is a perfect fit for the given data in a quadratic regression problem is when r is; A: 1

What is a quadratic regression?

Quadratic regression is defined as a statistical technique that is used to find the equation of the parabola that best fits a set of data.

Now, this type of regression is an extension of simple linear regression that is used to find the equation of the straight line that best fits a set of data.

Thus, in this type of regression, we say a graph is a perfect fit when r = 1.

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You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a.
No annual fee
b.
Low APR
c.
Generous rewards program
d.
No balance transfer fee

Answers

Answer:

A

Step-by-step explanation:

EDU

The credit card feature of "No annual fee" represents the correct alternative of the given ones.

What is credit card?

A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.

Given is that you are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month.

The credit card feature of "No annual fee" is suitable for emergencies.

Therefore, the credit card feature of "No annual fee" represents the correct alternative of the given ones.

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Which list shows all the factors of 18?
1, 2, 3, 4, 6, 9, 18
1, 2, 3, 6, 9, 18
2, 3, 4, 6, 9
2, 3, 6, 9

Answers

line number 2 is the correct answer
the second choice is the answer

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a red card and then a black card
A) 1/16
B)1/26
C)1/4
D)1/52

Answers

The chance of her drawing a red card are 26/52 or 1/2, and the chances of her drawing a black card are 26/52 or 1/2.
Multiply the probabilities.
1/2 * 1/2 = 1/4
The answer is C. 1/4

Which expression gives the distance between the points (4, 6) and (7, -3)?

Answers

The distance formula is
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].  In the ordered pair (4, 6), 4 is the x-coordinate and 6 is the y-coordinate.  In the ordered pair (7, -3), 7 is the x-coordinate and -3 is the y-coordinate.  Substituting those values in gives us
[tex]\sqrt{(4-7)^2+(6--3)^2}[/tex].  Since subtracting a negative is the same as adding a positive, we now have

Answer:

The expression gives the distance between the points (4, 6) and (7, -3) is Option (C) .

i.e

[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]

Step-by-step explanation:

Formula

[tex]Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

As the point are  (4, 6) and (7, -3) .

Put points in the formula

[tex]Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}[/tex]

[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]

[tex]Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}[/tex]

[tex]Distance\ formula = \sqrt{9 + 81}[/tex]

[tex]Distance\ formula = \sqrt{90}[/tex]

[tex]\sqrt{90} = 9.5\ units\ (Approx)[/tex]

Distance formula = 9.5 Units (Approx)

Therefore Option (C) is correct.

At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time it takes for worker A and worker B to assemble a shelving unit together?

Answers

Let's define the following variable:
 t = total time it takes to assemble a shelving unit together.
 We then have the following equation:
 1/5 + 1/3 = 1 / t
 Solving the equation we have:
 3t + 5t = 15
 8t = 15
 t = 1,875 hours
 Answer:
 
the time it takes for worker A and worker B to assemble a shelving unit together is:
 t = 1,875 hours

The equation 1/t = 1/5 + 1/3 can be used to find the time it takes for worker A and worker B to assemble a shelving unit together.

To find the time t it takes for worker A and worker B to assemble a shelving unit together, we need to add their work rates.

Worker A's work rate is 1 unit per 5 hours (or 1/5 units per hour), and worker B's work rate is 1 unit per 3 hours (or 1/3 units per hour).

The combined work rate is the sum of their individual work rates:

1/5 + 1/3 = (3 + 5) / 15 = 8 / 15 units per hour

If t is the time they take together to complete one shelving unit, then their combined work rate is 1 unit per t hours. Setting this equal to their combined rate, we get:

1/t = 8/15

Solving for t gives:

t = 15/8 hours

Therefore, the equation 1/t = 1/5 + 1/3 can be used to find the time it takes for worker A and worker B to assemble a shelving unit together.

What is the sum of 4.9 × 102 and 6.8 × 103?

( one answer )

Answers

4.9 × 10^2 +  6.8 × 10^3
= 10^2(4.9 + 68)
= 72.9 x 10^2
= 7.29 x 10^3

answer
7.29 x 10^3

Answer:the answer is 7290

Step-by-step explanation:

From the given expression

4.9*10^2 =4.9*100=490

and

6.8*10^3=6.8*1000=6800

490+6800=7290

Instructions:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.

Answers

I think is 1:1 but im not 100% sure 

Answer:

The ratio of the lengths of PR and QS is 1 : 1

Step-by-step explanation:

If your question is based on this exercise:

PQ Is parallel to RS.  PR and QS are perpendicular to PQ  and RS

Here is why

Which of the following statements is not true about reflections?
The image faces the same direction as the pre-image.
The image is the same shape as the pre-image.
The image is the same size as the pre-image.
Points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.

Answers

'The image faces the same direction as the pre-image' is the false answer.

Hope this helps ^_^

Answer: The image faces the same direction as the pre-image.

Step-by-step explanation:

Reflection is a transformation in which a geometric shape (pre- image) is reflected across a line called as axis of reflection, producing a mirror image.

It is a rigid transformation because the image is the same size and shape as the pre-image.

Since it produces the mirror image of the original image therefore, the points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.

So the only statement is not true about reflection is "The image faces the same direction as the pre-image. ".

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