some number was divided into 176.9. this quotient was then multiplied by 4 , after which the resulting product was added to 10.2 given this sum totalled -38.6, find the initial number

Answers

Answer 1

9514 1404 393

Answer:

  -14.5

Step-by-step explanation:

Let the number be represented by x.

  176.9/x . . . . the quotient of some number divided into 176.9

  4(176.9/x) . . . . the quotient multiplied by 4

  10.2 + 4(176.9/x) . . . . the product added to 10.2

And that totals -38.6:

  -38.6 = 10.2 +4(176.9/x)

Solution

  -48.8 = 4(176.9/x) . . . . subtract 10.2

  -12.2 = 176.9/x . . . . . . . divide by 4

  x = 176.9/(-12.2) . . . . . multiply by x/-12.2

  x = -14.5 . . . . . . . . . . . finish the division

The initial number is -14.5.


Related Questions

AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP

Answers

Answer:

5

Step-by-step explanation:

AC=AB+BC

so 16=x+1+x+7

which simplifies to 16=2x+8

subtract eight from both sides to get 8=2x

then divide by 2 to get that x=4

AB=x+1, which substitutes into 4+1=5

How much is -1/4 is 1 1/3?

Answers

Answer:

4 option

Step-by-step explanation:

pls pls help ez middle school math

Answers

Step-by-step explanation:

[tex]\sqrt{x^2-6x + 9} = \sqrt{(x - 3)^2}= x - 3[/tex]

someone help me with this

Answers

Answer:

stars: triangles

3  : 1

Step-by-step explanation:

There are 3 starts and 1 triangle

stars: triangles

3  : 1

Answer:

3:1

Step-by-step explanation:

3 Stars and 1 Triangle

Proportions in similar triangles

Answers

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) ← distribute

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?

how do I solve it

Answers

X/3,000 = 25/100
100x = 3,000x25
100x = 75,000
100x/100 = 75,000/100
X = 750

750x6 = 4,500
Every year the population goes up by 750, in 6 years the population would be 4,500 people.

Answer:

Step-by-step explanation:

Rate of increase = r = 25%

n = number of years = 6

P = Current population = 3000

Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]

            [tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]

Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs to pay 5 integer 4 by 5 dollar if he drives 69 miles how much extra does he needed to pay

Answers

Answer:

$27

Step-by-step explanation:

Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Total mileage included with the rental = 54 miles

Additional cost per mile after 54 miles = $1 4/5

Total miles Thomas drives = 69 miles

Extra miles Thomas drives = 69 miles - 54 miles

= 15 miles

how much extra does he need to pay?

Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives

= $1 4/5 * 15 miles

= 9/5 * 15

= (9 * 15) / 5

= 135/5

= 27

Extra cost Thomas needs to pay = $27

Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of m and n.​

Answers

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

[tex]If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}[/tex]

   [tex]Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3[/tex]

  [tex]y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4[/tex]

PLEASE HELP WILL MARK BRAINLIEST

Answers

WHERES THE QUESTION IT WONT SHOW UP ON MY SCREEN POST IT AGAIN

Use a substitution strategy to solve the following problem.
Two isosceles triangles have the same base length. The equal sides of one of the triangles
are 3 times as long as the equal sides of the other. Find the lengths of the sides of the triangles when
their perimeters are 34 cm and 82 cm.

Answers

Answer:

The length of the equal sides of the isosceles triangle with a perimeter of 34 cm perimeter is 12 cm

The length of the equal sides of the isosceles triangle with a perimeter of 82 cm perimeter is 36 cm

The base length of both triangles is 10 cm

Step-by-step explanation:

The given parameters are;

The base length of the triangles are equal

The base length of one of the triangle = The base length of the other triangle

The equal sides of one of the triangles = 3 × The length of the equal sides of the other

The perimeter of the triangles are; 34 cm and 82 cm

Let 'b' represent the base length of each triangle, let 'a' represent the length of an equal side of the smaller triangle with a perimeter of 34 cm and let 'c' represent the length of an equal side of the larger triangle with a perimeter of 82 cm

For the smaller triangle, we have;

b + 2·a = 34..(1)

For the other triangle;

b + 2·c = 82...(2)

Given that the side length of the larger triangle are larger than those of the smaller triangle, and that the side length of the larger triangle is 3 times the side length of the smaller triangle, we get;

c = 3·a

By the substitution method, from equation (2) we get;

b + 2·c = b + 2 × 3·a = b + 6·a = 82

∴ b + 6·a = 82...(3)

Subtracting equation (1) from equation (3) gives;

b + 6·a - (b + 2·a) = 82 - 34 = 48

b - b + 6·a - 2·a = 48

4·a = 48

a = 48/4 = 12

The length of the equal sides of the 34 cm perimeter (smaller) isosceles triangle, a = 12 cm

From c = 3·a, and a = 12, we get;

c = 3 × 12 = 36

The length of the equal sides of the 82 cm perimeter (larger) isosceles triangle, c = 36 cm

From equation (1), we get;

b + 2·a = 34

∴ b + 2 × 12 = 34

b = 34 - 2 × 12 = 10

The base length of both triangles, b = 10 cm

Sally plots (−4,π)on the polar plane.


How does she proceed?


Drag a phrase to each box to correctly complete the statements.

Answers

Solution :

As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.

My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.

"which of the numbers below can be classified as an integer" and the options are . 10÷2 , -0.3 ,√20 ,. 0.4​

Answers

Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

[tex]\frac{10}{2}=5[/tex]

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

[tex]\sqrt20[/tex]

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

7.5 as an improper fraction in its simplest form

Answers

Answer:

7.5 as an improper fraction in its simplest form would be 15/2

Find the set of the possible values of p for which the equation 3x² + px + 3 = 0 has no real roots.

*Using graphical method or comparing the signs.

Answers

Answer:

[tex]delta = {b}^{2} - 4ac = {p}^{2} - 4 \times 3 \times 3 = {p}^{2} - 36[/tex]

The equation has no real roots if delta <0

that is -6<p<6

An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle

Answers

Answer:

The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7

What’s the perimeter

Answers

Answer:

60 cm

Step-by-step explanation:

Perimeter = 2(12) + 2(18)

Perimeter = 2(30) = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

60cm

Step-by-step explanation:

(diagram with colors below)

The two red sides can be visualized as the same length as the length, so the two red segments add up to 18cm. The same thing can be said with the blue segments and the width. We can say the perimeter can be:

18 + 18 + 12 + 12 = 60cm

A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6

Answers

Answer:

The standard equation is 7x + y = 9

Step-by-step explanation:

Equations given are:  

7x + 3 = 5 and y - 1 = 6

Set both given equations equal to zero, then combine them into one standard form equation

Set the equations to zero by moving the constant from R.H.S to L.H.S

7x + 3 - 5 = 0

7x - 2 = 0 ---- eq 1

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0 ----- eq 2

We have to combine eq 1 and eq 2

7x - 2 + y - 7 = 0

7x + y - 9 = 0

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Thus the standard equation is:

7x + y - 9 = 0

7x + y = 9

Thus the standard equation is 7x + y = 9

HELP
Find the circumference of this circle
using 3 for T.
C [?]


Answers

Answer:

3

Step-by-step explanation:

3

Please help me figure out how to solve functions

Answers

Answer:

f(6) = 24

Step-by-step explanation:

To evaluate f(6) substitute x = 6 into f(x) , that is

f(6) = 6² - 2(6) = 36 - 12 = 24

ReeeeeeeeeeeereEeeeeereeeee

Answers

Answer:

22

Step-by-step explanation:

B racket

I ndices

D division

M multiplication

A addition

Subtraction

Work out answer using the BIDMAS order

12/2+(6-2)^2

6+(4)^2

6+16=22

Best of luck!!

Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent.  Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x  = x + 4, we'd be golden

[tex]2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}[/tex]

2 Kenedi has a piece of ribbon that measures
24 inches long. She cuts the ribbon into
15 equal pieces to attach to her dance
costume. Kenedi uses the expression shown to
calculate the length of each piece of ribbon she
uses on her costume.
241 - 15
Which of the following expressions CANNOT be
used to determine the length of each piece of
ribbon?
15
F99=
G (242) (15)
H7+15
J 241-15

Answers

Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

Find the area of this prism.

Answers

Do you mean volume? Its a 3d figure:
240 cubic centimeters.

Just use the formula length x width x height
And divide the figure into two figures so u can find the area much easier

Comm.ent me if u have any questions,
-SpaceMarsh
Brainliest pls?

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.

Answers

Answer:

The equations

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

The solution

55 dimes and 25 quarters

Step-by-step explanation:

Given

Let

[tex]x \to[/tex] quarters

[tex]y \to[/tex] dimes

[tex]Total = 80[/tex]

[tex]Worth = \$16.25[/tex]

Required

Set up a system of equation to calculate the number of each coin

The total coin of 80 implies that:

[tex]x + y = Total[/tex]

[tex]x + y = 80[/tex]

A dime = $0.1

A quarter = $0.25

So, the worth of the coin is:

[tex]0.25 * x + 0.1 * y = Worth[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

So, the equations are:

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

Next, solve for x and y

Multiply the second equation by 4

[tex]0.25x + 0.1y = 16.25[/tex] by 4

[tex]x + 0.4y = 65[/tex]

Subtract from [tex]x + y = 80[/tex]

[tex]x- x + y - 0.4y = 80 - 65[/tex]

[tex]0.6y = 15[/tex]

Solve for y

[tex]y = 25[/tex]

We have:

[tex]x + y = 80[/tex]

[tex]x = 80 - y[/tex]

[tex]x = 80 - 25[/tex]

[tex]x = 55[/tex]

Hence, there are 55 dimes and 25 quarters

Write 100 + 2 + 0.09 in standard form

Answers

102.09

Just add them up

Find the area of the circle shown Use pi=3.14

Answers

Answer:

50.24 sq cm

Step-by-step explanation:

radius is 4 (half of 8)

A=(3.14)4^2

A=50.24

Answer:

B) 50.24 sq.cm

Step-by-step explanation:

equation for area of circle is [tex]\pi r^{2}[/tex]

radius is half of diameter

radius = 4 cm

[tex]\pi (4)^2[/tex] = 50.24 sq.cm

Find f(x+2) of the function f(x)= 4x^2+2x-4 HELP ASAP PLEASE WORTH 40 POINTS

Answers

Answer:

Given

f(x)= 4x²+2x-4

To find f(x + 2) substitute x with x + 2 in the given function:

f(x+2)= 4(x + 2)² + 2(x + 2) - 4

         = 4(x² + 4x + 4) + 2x + 4 - 4

         = 4x² + 16x + 16 + 2x

         = 4x² + 18x + 16

f(x+2)

4(x+2)²+2(x+2)-44(x²+4x+4)+2x-4-44x²+16x+16+2x4x²+18x+16

Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the description of this situation?

Answers

Answer:

Is that it's not about the answers and the questions

don't mind the purple dot ​

Answers

Answer:

option A

Step-by-step explanation:

22 : 15 + 10hours = 8 : 15

                              8 : 15 + 35 minutes = 8 : 50

Therefore the difference = 10 hours 35 minutes

WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°

Answers

Answer:

3 * 45 = 135 which is NOT 180

45, 45, 90 would work

Step-by-step explanation:

hope it helps!

Other Questions
which one is not a lip Compared with medieval art, Renaissance art often appeared to be? What is the point of intersection to the system below?2x - 3y = 53x +3y = 5 For each of the following, shade the portion of the Venn diagram that illustrates the set. ( A B ) ( A C ) In the figure, AMH HTA by Side-Side-Side (SSS). Which angles are congruent by CPCTC? Write an expression to represent the perimeter of a rectangle with a length of 4x+14 and a width of 2x-9. Simplify your answer. If the Forward Rate is expected to be an unbiased estimate of the future spot and Interest Rate Parity also holds, then: Group of answer choices Absolute forecast error would be zero Triangular arbitrage is not feasible Purchasing power parity holds Covered interest arbitrage is feasible International Fisher Equation holds he plural of the word roof is:roofs.rooves.roofies.roofes. Solve the following system of equations graphically on the set of axes below.y= x+2y= -1/2x+8 Assume that you are a loan ofcer of a bank. A local church is seeking a $4 million, 20-year loan to construct a new classroom building. Church ofcers submit a comprehensive nancial report that was audited by a reputable CPA rm. In summary form (the actual statement showed details), the churchs statement of revenues and expenditures indicated the following (in millions):Revenues from dues and contributions .... $1.8Revenues from other sources ....... 0.2Total revenues ............. $2.0Less: total expenditures .......... 2.0Excess of revenues over expenditures .... $0.0The church's balance sheet reported assets, mainly cash and investments (at market value), of $0.2 million. In addition, a note to the financial statements indicated that equipment is approximately $3 million. The church has no outstanding debt.a. Is there any information in the nancial statements that would make you reluctant to approve the loan? If so, indicate and explain.b. Is there any other nancial information of the type likely to be reported in a conventional annual report that you would like to review prior to making a loan decision? If so, indicate and explain.c. Is there any other information, of any type, that you would like to review prior to making a loan decision? If so, indicate and explain.d. Comment on the inherent limitations of the nancial statements of this church, or any comparable not-for-prot organization, as a basis for making loan decisions. how goal succession takes place? Explain the condition responsible for goal succession Distribution network is not required forproduct.O StandardisedO DurableO UnstandardisedO Perishable compare and contrast European to Japanese Feudalism I need help asap I will give you brainilestWhich is an example of a secondary source?A. a newspaper from the day of the event.B. a documentary created by people who did not observe the event.C. a journal entry created by someone who observed the event.D. a letter written by someone who did not observe the event. it is the lowest female voice and most unique among female A________________is a thinking strategy that may lead to a solution to a problem, but sometimes may lead to errors in conclusions. In contrast, an ______________is a rule based thinking strategy, that if followed correctly will guarantee a solution to a problem. How do you get 21/2? The financial statements of the Bramble Corp. report net sales of $473850 and accounts receivable of $56000 and $25000 at the beginning of the year and the end of the year, respectively. What is the accounts receivable turnover for Bramble? "Death, be not proud, though some have called theeMighty and dreadful, for thou art not so:...Thou art slave to fate, chance, kings, and desperate men,And dost with poison, war, and sickness dwell..."In your own words, describe the meaning of these stanzas from John Donne's sonnet. What is theauthor communicating through these stanzas? Your response should be 2-4 sentences. Which number is the EXPONENT? 4^2 = 16 *