John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62. What is the sum of the 2 numbers?

Answers

Answer 1

Step-by-step explanation:

From a, the original number is 100x the new number.

So,if the new number is 1unit --> the original is 100x 1unit --> 100units

Add the two numbers together --> 1unit + 100units --> 101 units

We also know that the difference between the two numbers is 136.62

So 100units - 1unit --> 136.62

99units -> 136.62

1unit --> 1.38

101units --> 139.38


Related Questions

is x^2 + y^2 = 5 a function

Answers

Answer:yes

Step-by-step explanation:

Which polynomial is written in descending order of the powers of the variable?
A. -2x^3+6x^2-9x+5
B. 5-9x+6x^2-2x^3
C. 5+6x^2-9x-2x^3
D. -2x^3+5+6x^2-9x^2-9x

Answers

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. [tex]-2x^3+6x^2-9x+5[/tex]

answer to the question

Answers

Answer:

$2916.00

Step-by-step explanation:

Which expression is equivalent to x5 • x2?

Answers

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

= [tex]x^{5} * x^{2}[/tex]

When bases are same, powers are to be added

= [tex]x^{5+2}[/tex]

= [tex]x^{7}[/tex]

Suppose $4000 is invested at 6% interest compounded annually. How much money will there be in the bank at the end of 5 years? At the end of 20 years?

Answers

Answer: The accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = $ 12828.54

Step-by-step explanation:

Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:

[tex]A=P(1+r)^t[/tex]

As per given , we have

P =  $4,000

r= 6% = 0.06

Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]

The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]

[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]

Hence,  the accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]

[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]

Hence,  the accumulated amount after 20 years = $ 12828.54

Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively

Using the compound interest formula :

[tex] A = P(1 + r)^{t} [/tex] P = principal r = Rate t = time

After 5 years :

[tex] A = 4000(1 + 0.06)^{5} [/tex]

Amount after 5 years = $5325.90

After 20 years :

[tex] A = 4000(1 + 0.06)^{20}[/tex]

Amount after 5 years = $12828.54

Hence, the amount accumulated after 20 years will be $12828.54

Learn more : https://brainly.com/question/25581049

Thank you for all your help I need this too ASAP pls

Answers

Answer:

A

Step-by-step explanation:

Quadratic equation

FAST ANSWER PLEASE THANKS

Answers

Answer: D

Step-by-step explanation:

(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]

m 1 = a) 40 b) 130 c)50

Answers

Answer:

C) 50

Step-by-step explanation:

You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.

Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?

Answers

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

5x – 7y= 16 2 + 7y = 8.
what is x?

Answers

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

Answers

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)

[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)

If we add (eq1) and (eq2), we have:

[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)

Using (eq3) and (eq4) in (eq5), we have:

[tex]333 = 2*225 + 3*gray\ pleated[/tex]

[tex]gray\ pleated = 117/3 = 39[/tex]

From (eq1), we have:

[tex]blue\ pleated = 5*39 = 195[/tex]

From (eq3), we have:

[tex]blue\ nonpleated = 333 - 195 = 138[/tex]

Answer:

88

Step-by-step explanation:

Please helpppppp, I’m tryna passss :(

Answers

Answer:

y = x + 1

Step-by-step explanation:

I've already explained the process to you, but:

Slope intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1.

y = x + b (you don't have to write 1x)

The line intersects the y-axis at 1

y = x + 1

Please let me know if you don't understand

BRAINLIEST!
What is the measure of angle ABC?

Answers

Answer:

the measure of angle ABC is 73°

Step-by-step explanation:

This is  inscribed angle and theorem says that its measure is 1/2 of intercepted arc

m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°

Answer:

It is 180 degrees

~Hope this helps!!Stay safe~

es urgente ¡¡¡ si la MH de a y 4 es 6 y la MH de 8 y b es 12 calcula la MH de a y b

Answers

Answer:

Sabemos que:

[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]

y tenemos que:

[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?

Answers

Answer:

$1748.25

Step-by-step explanation:

Multiply:

 ($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)

Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?

Answers

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units

Can any one please help me in number 4

Answers

Answer:

150.72

Step-by-step explanation:

The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.

Points 2
Triangle ABC is translated 3 units left and 4 units up. Find the coordinates of
the new triangle​

Answers

Answer:

a = -1,6 b = 1,11 c = 4,11 .

picture chart is below


The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?



Thanks for all correct answers

Answers

Answer:

11%

Step-by-step explanation:

this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.

45 + 23 + 21 + x = 100

to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.

hope it helps!

Factor the polynomial completely.
(y - 8)^2 - 16

Answers

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

PLZ HELP IM TIMED!!! Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options.. A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

Answers

Answer:

The correct options are (1), (2) and (4).

Step-by-step explanation:

If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.

If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.

It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.

Then the right rectangular prism could have:

Dimensions: Length = 15 inches, Width = 8 inches and Height = 6 inches. A cross section parallel to the base which is a rectangle measuring 15 inches by 8 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

Thus, the correct options are (1), (2) and (4).

(b) If 1/3 volume of a vessel is filled with 5 litres of what is the volume
of the vessel.​

Answers

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

What is the value of x

Answers

Answer:

A. 35 deg

Step-by-step explanation:

Use the exterior angle measure theorem.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

60 + x = 95

x = 35

I just had that question answer is 35°

write a rule for the nth term of the sequence 15, 19, 23, 27

Answers

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

What is the inverse of g(x) =
X +8

Answers

Answer:

The inverse is x-8

Step-by-step explanation:

g(x) = x+8

y = x+8

To find the inverse, exchange x and y

x = y+8

Solve for y

Subtract 8 from each side

x-8 = y+8-8

x-8 = y

The inverse is x-8

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer: the answer is 77 degrees

Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)

Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!

Answers

Answer:

3, 4, 5, 6

Step-by-step explanation:

Given the inequality

2 < x ≤ 6

This says that 2 is less than x , so x ≠ 2 ( left part )

x is less than or equal to 6 means x can equal 6 ( right part )

Integer values that satisfy the inequality are

x = 3, 4, 5, 6

PLSSSSSS HELP!!!!!!!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true?

a. The volume of one box is 3 times the volume of the other.

b. The volume of one box is 6 times the volume of the other.

c. The volume of one box is 9 times the volume of the other.

d. The volume of one box is 27 times the volume of the other.

Answers

Answer:

B

Step-by-step explanation:

(There  is 2 sides.)

Find the y-intercept of the following equation. Simplify your answer.

y
=
9
10
x
+
7
6


y-intercept =

Answers

Answer:

Brainliest!

Step-by-step explanation:

the equation is y=mx+b

the b part is the y-intercept

so in your equation... the y=intercept would be 7/6

SH
Complete each step in the following solution.
10x + 8 = 3(x - 2)
10x + 8 = 3x
DONE
7x=
DONE
x= -2

Answers

Answer: x= -2

Step-by-step explanation: use pemdas

10x + 8 = 3(x - 2) distribuite parenthesis

10x + 8 = 3x - 6

10x + 8 = 3x - 6 add like terms

7x +8= -6 add like terms

7x= -14 divide to get x alone

x= -2

Answer:

x = - 2

Step-by-step explanation:

10x + 8 =3(x-2)

10x + 8 =3x - 6

10x - 3x = - 6 - 8

7x = - 14

7x/7 = -14/7

x = - 2

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