Solve the proportion 45=28x using two different methods. Explain each method

Answer:

for part a i think it is the second one sorry if i do get it wrong and i couldnt answer the last one sorry

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Part A)

She needs to compare by division the following two numbers:

8 × 10^-6 and 4 × 10^-5

If she divides the whole parts and then divides the powers of ten, she must do both divisions in the same order.

That means either

a) divide 8 by 4, and then divide 10^-6 by 10^-5

or

b) divide 4 by 8, and then divide 10^-5 by 10^-6

Doing a), you get

8/4 = 2

10^-6 / 10^-5 = 0.1

Multiply the parts: 2 × 0.1 = 0.2

Doing b), you get

4/8 = 0.5

10^-5 / 10^-6 = 10

Multiply the parts: 0.5 × 10 = 5

Conclusion:

The smaller number, 8 × 10^-6, is 0.2 of the larger number, 4 × 10^-5,

or, stated differently,

the larger number, 4 × 10^-5, is 5 times the smaller number, 8 × 10^-6

Let's see what she did.

She divided 8 by 4.

Then she divided 10^-5 by 10^-6. This is a mistake because she reversed the order of the powers of 10 before dividing.

Let's look at the choices:

Choice d) is correct because it has both divisions in the same order and comes to the correct conclusion that the larger number is 5 times greater than the smaller number.

Answer: d)

Part B)

8 × 10^-6 = 0.000008

4 × 10^-5 = 0.00004

Larger number: 4 × 10^-5

Answer:

a) y = 55

b) y = 45

c) y = -18

d) y = 5.45

Step-by-step explanation:

y = 15x - 50    when x = 7

y = 15(7) - 50

y = 105 - 50

y = 55

y = 1/2x + 20   when x = 50

y = 1/2(50) + 20

y = 25 + 20

y = 45

y = (3x)2 - 36    when x = 3

y = (3(3))(2) - 36

y = 9(2) - 36

y = 18 - 36

y = -18

y = 2.5x + 3.8    when x = 0.66

y = 2.5(0.66) + 3.8

y = 1.65 + 3.8

y = 5.45

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

y=X equation is a direct variation function.

Answer:

∠X and ∠Y are a linear pair.

∠W and ∠Z are supplementary.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°.

Linear pairs of angles are those two adjacent angles whose sum is 180°.

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

The answer is C.

Reasoning:

No other numbers match up but D)

When you divide 24 by 8 you get 3 and 3 times 9 is 27

Answer:

D.Reasoning

Step-by-step explanation:

Answer:

90 degrees and direction is clockwise

Step-by-step explanation:

3 to 6 is 1/4th of the clock

360 divided by 4 = 90

Answer:

  1108 in²

Step-by-step explanation:

You want the total surface area of the pentagonal prism shown.

The area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...

  A = LW +1/2bh

  A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches

The lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.

  LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches

The total surface area of the figure is the sum of the two base areas and the lateral area:

  SA = 2(114 in²) +880 in² = 1108 in²

The surface area of the composite figure is 1108 in².

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Answer: it should be 8.

Step-by-step explanation:

Step 1. Factor in the given variables.

(xy + 1) ÷ 7 becomes ((5)(11) + 1) ÷ 7

Step 2. Do the first part in parentheses

so (5) x (11) which is 55.

Step 3. Add together the full parentheses

so 55 + 1 which is 56

Final step, divide.

56 divided by 7 equals 8.

To find when the rocket will be at a certain height, we can set the equation for height, h(t), equal to the given height and solve for t.

For 24 meters:

-9.8t^2 + 36t = 24

-9.8t^2 + 36t - 24 = 0

We can solve for t using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -9.8, b = 36, and c = -24. Plugging in these values, we get:

t = (-36 ± sqrt(36^2 - 4(-9.8)(-24))) / 2(-9.8)

t ≈ 1.87 seconds or t ≈ 3.14 seconds

So the rocket will be at a height of 24 meters approximately 1.87 seconds after launch and again approximately 3.14 seconds after launch.

For 36 meters:

-9.8t^2 + 36t = 36

-9.8t^2 + 36t - 36 = 0

Using the quadratic formula again, we get:

t = (-36 ± sqrt(36^2 - 4(-9.8)(-36))) / 2(-9.8)

t ≈ 1.16 seconds or t ≈ 3.66 seconds

So the rocket will be at a height of 36 meters approximately 1.16 seconds after launch and again approximately 3.66 seconds after launch.

Answer:

p = 12.20h

30.5 hours

Step-by-step explanation:

Jackson works as a veterinary technician and earns per hour = $12.2

He works in a normal week = 40 hours

Let hours = h and weekly pay = p

p = 12.20h

p = $12.20 × 40

= $488.00

Last week Jackson was ill and missed some work.

 His total pay before deduction was $372.10

To find the hours he work the equation will be p = 12.20h

372.10 = 12.20h

372.10/12.20 = h

h= 30.5

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Answer:

If I am correct, I think the surface area is 448.

Step-by-step explanation:

First start by finding the area of all the sides

Front side. 12 x 10 = 120

2 triangle sides: 8 x 10 = 80, 80 x 2 = 160

Bottom side: 6 x 12 = 72

Back side: 8 x 12 = 96

Then add up the surface area

120 + 160 + 72 + 96 = 448

Btw I don't know if I am correct, but I think this is the way you find surface area.

Answer:

B (-8.5)

Step-by-step explanation:

To start working, times everything in parenthesis by 2

2 times x = 2x

2 times 3.5 is 7

Now that you have that, re-write the equation

2x+7=-10

subtract 7 from 7 and -10

you get 2x=-17

divide both sides by 2

x=-8.5

Hope this helps! :>

Answer: I think its 29?

Step-by-step explanation:

58 = 2u

divide both sides by 2

29 = 1u

Answer:

y=4       x=1

Step-by-step explanation:

(-3x+5y=20)x4

(4x+8y=32)x3

-12x+20y=80

12x+24y=96

-12x+20y=80

+12x+24y=96

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

44y=176

y=4       x=1

(i) x–3y–3=0

3x–9y–2=0

Comparing these with pair of equations of the form a

1

​

x+b

1

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y+c

1

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=0

and a

2

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a

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3

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b

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,

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2

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, the lines have no solution.

(ii) 2x+y=5

3x+2y=8

a

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=

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b

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=

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, the lines have unique solution.

(iii) 3x−5y=20

6x−10y=40

a

2

​

a

1

​

​

=

6

3

​

=

2

1

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,

b

2

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b

1

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=

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,

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=

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, the lines have infinitely many solution.  

(iv) x−3y−7=0;3x−3y−15=0

a

2

​

a

1

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=

3

1

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,

b

2

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15

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=

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, the lines have unique solution.

Answer:

The answer is the second graph

Step-by-step explanation:

The dot is closed meaning no more than 52

Answer:

The answer is 2(x-3)

Explanation: Think of x-3 as its own expression. Multiply the expression by 2 to get the answer.

Answer: 2(x-3)

Step-by-step explanation:

Step 1: Split the sentence into 2 parts.

'2 times'= 2 x (or 2 times something)

'the difference of x and 3'= x-3

Step 2: combine to form an expression/equation

2(x-3)

Hope this helps!! :D

Answer:

1. do this yourself

2. 1 out of 6

3. 0

Step-by-step explanation:

for number 3 there are only 6 numbers on a number cube

Answer:

x=10.7, y=11300

Step-by-step explanation:

x%of 31 = 3.317

x/100×31=3.317

31x/100=3.317

31x= 3.317×100

x= 3.317 ×100/31

x =10.7

4407= 39% of y

4407= 39/100 × y

4407 =39y/100

4407×100=39y

4407 × 100/39=y

11300=y

Step-by-step explanation:

Answer:

147$

Step-by-step explanation:

to double check, divide 147 by 7, and you will get 21; the total price for EACH friend

Answer:

c. (y + z = 6) ⋅ −3

Step-by-step explanation:

We want to use elimination to eliminate y in a system of equations

y + z = 6

3y + 4z = 1

We can take the first equation and multiply by -3 to make the y term -3 so when we add  the equations -3y + 3y =0

-3(y + z = 6)

3y + 4z = 1

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

-3y  -3z = -18

3y + 4z = 1

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

0y  +z   = -17

Answer:

c. (y + z = 6) ⋅ -3

Explanation:

Equation P : y + z = 6

Equation Q : 3y + 4z = 1

In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.

So to make the y co-efficient similar here, multiply the first equation by -3

When done: (y + z = 6) · -3 = -3y - z = -18

Solving steps:

-3y - 3z = -18

3y + 4z = 1

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

    z = -17

There the y-term has been removed.

Answer:

https://spaceplace.nasa.gov/seasons/en/

Answer:

The way that Earths axis is tilted is what determines the season that it is. for example when the Northern hemisphere tilts toward the Sun, it's summer in the Northern Hemisphere. And when the Southern hemisphere tilts toward the Sun, it's winter in the Northern Hemisphere. This is because when a hemisphere is tilted towards the sun, that hemisphere is getting direct rays from the sun.

Answer:

Step-by-step explanation:

Slope of the line =  y2 - y1 ÷ x2 - x1

           ====>     8 - (-6) / (-1) - 5

                       =   14 / -6 = -7 / 3