Please help me 10 points i just joined today ;)

Paul is wrong as first he has to convert their powers to the same value with base 10.

We use the scientific notation of numbers to write very large numbers in compact form.

In the scientific form, we write a number in the form of base×10ⁿ.

Where 0 ≤ base < 10 and n can be any rational number.

Given, Paul says (3.14 X 10⁵) + (2.53 X 10⁴) = 5.67 X 10⁵. he is wrong to add bases they must have the same power of 10.

∴  (3.14 X 10⁵) + (2.53 X 10⁴).

= (31.4 X 10⁴) + (2.53 X 10⁴).

= 33.93 X 10⁴.

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Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

                                                      Part a)

Answer:

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

Step-by-step explanation:

Given the equation

[tex]3x + 4 = 7[/tex]

solving the equation for x = 1

substituting the value of x = 1 in the equation

[tex]3\left(1\right)+\:4\:=\:7[/tex]

[tex]7=7[/tex]

As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]

                                                     Part b)

Answer:

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

Step-by-step explanation:

Given the equation

[tex]\frac{x-3}{2}=6[/tex]

solving the equation for x = 15

substituting the value of x = 15 in the equation

[tex]\frac{15-3}{2}=6[/tex]

[tex]\frac{12}{2}=6[/tex]

[tex]6=6[/tex]

As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]

                                                   Part c)

Answer:

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2=-2x+3[/tex]

solving the equation for x = -3

substituting the value of x = -3 in the equation

[tex]x^2=-2x+3[/tex]

[tex]\left(-3\right)^2=-2\left(-3\right)+3[/tex]

[tex]9 = 6 + 3[/tex]

[tex]9 = 9[/tex]

As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]

Answer:

f(x)= -1/4x-2

Step-by-step explanation:

Slope= -1/4

y-intercept= -2

Answer:

ok sooo

Step-by-step explanation:

2x - 5 + - x - 2

The equivalent equations to  72x+12y=60 are:

The given equation is:

72x+12y=60

To find the equivalent equations, follow the steps below

Multiply the equation 72x+12y=60 by 10

10(72x) + 10(12y) = 10(60)

720x  +  120y   =  600

Divide the equation 72x+12y=60 by 12

(72x/12)  +  (12y/12) = 60/12

6x  +  y   =  5

y  =  5  -  6x

Divide the equation 72x+12y=60 by 72

(72x/72)  +  (12y/72) = 60/72

x  +  y/6  =  5/6

x  =  5/6  -  y/6

The equivalent equations to  72x+12y=60 are:

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Answer:

1. 1.5 milliliter

2. 2/3 millileter

Step-by-step explanation:

I did this earlier today lol

Answer:

Step-by-step explanation:

150/100

1.5 ml of soy sauce per ml of vinegar

100/150

2/3 (or 0.666) ml vinegar per ml of soy sauce

Answer : Speed = distance/time.

(3/4)/(2/3) = 3/4 x 3/2 .

9/8 or 1  1/8 miles per hour

Step-by-step explanation:

i really dont know<3

Answer:

3/18, or simplified, he has a 1/6 chance of grabbing an adventure book.

Step-by-step explanation:

6 + 5 + 4 + 3 = 18. There's 3 adventure books, which makes it so that he has a 3/18 chance of it being an adventure book. How did I simplify? 18 ÷ 3 = 6, 3 ÷ 3 = 1.

Answer:

is. there. a. picture

Step-by-step explanation:

Step-by-step explanation:

2x=6

x=6

2

x=3 ans

hope it help u

214 boxes of chocolate, 321 bags of caramel corn item was sold.

Boxes of chocolate sell for $6 each and bags of caramel corn sell for

$5 each. A total of 535 items were sold and $2889 was

raised.

set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 -x) bags,

and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

so 6 x+ 5.(535-x) = $2889.

6 x+ 5.535-x = $2889.

6 x+ 2675 - 5x = $2889.

6x - 5x =2889-265

x =214

so the caramel corn was sold 535-x =535-214 = 321

214 boxes of chocolate, 321 bags of caramel corn was sold.

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Caramel corn bags cost $5 apiece, while chocolate boxes cost $6 each. 535 products in total were sold, bringing in a total of $2889 then there exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

Any one of the forms, including addition, subtraction, multiplication, and division, should be used for the algebraic expression. Bring the variable to the left side and the other values to the right side in order to find the value of x. To find the answer, simplify the values.

Let set of  of chocolate was sold x boxes,

because  a total of 535 items more sold .

so the caramel corn was sold (535 - x) bags, and boxes of  chocolate sell for $6 each , bags of caramel corn for each and  $2889 was raised.

From the given information, we get

6x + 5(535 - x) = $2889

simplifying the above equation, we get

6x + 5 × 535 - 5x = $2889

6x + 2675 - 5x = $2889

6x - 5x = 2889 - 265

x = 214

So the caramel corn was sold = 535 - x

Substitute the value of x in the above equation, we get

= 535 - 214

= 321

There exists 214 boxes of chocolate, 321 bags of caramel corn was sold.

Therefore, the correct answer is option b) 214 boxes of chocolate, 321 bags of caramel corn.

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Answer:

A. x=4

B. x=16

Step-by-step explanation:

A. multiply out: 3x+6=18

subtract 6 from both sides: 3x=12

divide both sides by 3: x=4

B. subtract 2 from both sides: x=16

Answer:

Area = 1,344 cm²

Step-by-step explanation:

First, find the value of x and the numerical side length of all sides of the triangle before finding the area.

Thus:

Perimeter of a triangle = sum of all its side

Therefore,

(6x - 44) + (2x - 20) + (3x + 24) = 224

Solve for x

6x - 44 + 2x - 20 + 3x + 24 = 224

Add like terms

11x - 40 = 224

Add 40 to both sides

11x = 224 + 40

11x = 264

Divide both sides by 11

x = 24

Find the measurement of each side length by plugging in the value of x:

Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm

Height = 2x - 20 = 2(24) - 20 = 28 cm

Base = 3x + 24 = 3(24) + 24 = 96 cm

Find the area:

Area = ½×base×height

Plug in the values

= ½×96×28

Area = 1,344 cm²

Answer:

4/10 combined. ❤️

Step-by-step explanation:

i hope this helped. You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.

Answer:

he got 3456 crayons.

Step-by-step explanation:

Answer:

x = 8.5

Step-by-step explanation:

Based on the Midsegment theorem, the midsegment, DE is half the length of BC.

Given that BC = 17, therefore:

DE = ½*(17)

DE = 8.5.

x = DE = 8.5

Answer:

y=Mx+b

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

The slop of YZ is 1/2. The slope perpendicular would be opposite, making it -2.

Answer:

- 2

Step-by-step explanation:

Calculate the slope m of YZ using the slope formula

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

with (x₁, y₁ ) = Y(- 7, - 4) and (x₂, y₂ ) = Z(5, 2)

m = [tex]\frac{2+4}{5+7}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2

ANSWER:

25/144

........................

Answer:

None of the statements given in the options show the correct reasoning for finding 15÷ 29

Step-by-step explanation:

We are asked to find which of the statements below corresponds to: 15÷29.

15 ÷ 29 =

0.5172413793

= (10 + 5) ÷ 29

= (10 ÷ 29) + (5 ÷ 29)

= 0.5172413793

None of the statements given in the options show the correct reasoning for finding 15÷ 29

yes its a function because it passes the vertical line test. Yes, it is linear because the slope is constant.

Given:

In rectangle ABCD, diagonals AC and BD intersect at E, AE=3x-28 and DE=.5x+12.

To find:

The length of AC.

Solution:

We know that, diagonals of a rectangle are equal and they bisect each other.

In rectangle ABCD, diagonals AC and BD intersect at E, so

[tex]AE=BE=CE=DE[/tex]          ...(i)

Taking [tex]AE=DE[/tex], we get

[tex]3x-28=0.5x+12[/tex]

[tex]3x-0.5x=28+12[/tex]

[tex]2.5x=40[/tex]

Divide both sides by 2.5.

[tex]x=\dfrac{40}{2.5}[/tex]

[tex]x=16[/tex]

Now,

[tex]AE=3x-28[/tex]

[tex]AE=3(16)-28[/tex]

[tex]AE=48-28[/tex]

[tex]AE=20[/tex]

Using segment addition property,

[tex]AC=AE+CE[/tex]

[tex]AC=AE+AE[/tex]         [Using (i)]

[tex]AC=20+20[/tex]

[tex]AC=40[/tex]

Therefore, the length of AC is 40 units.

Answer:

slope: -4

equation: y = -4x – 10

Answer:

45

Step-by-step explanation:

divide 300 by 100 then multiply it by 15 to find how many people makes 15% of 300

300 ÷ 100 = 3 ➡ 3×15 = 45

Answer:A, C, and D

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

Answer:

40 + 3

Step-by-step explanation:

=43. you dont need to use it for 0, even though that's adding too. and multiplying isnt addition.

Answer:

[tex]\boxed{x^4 + x^2 + x}[/tex]

Step-by-step explanation:

[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]

[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]

[tex]= x^4 + x^2 + x[/tex]

Answer:

12 sugars and 24 flour

Step-by-step explanation:

if 4 x ( times ) 3 = 12,

8 x 3 = 24.

Answer:

Multiply by 3