If you double a number and then add 16 you will get 2/5of the original number. What is the original​ number?

Answers

Answer 1

Step-by-step explanation:

x = the original number

2x + 16 = 2/5 x

multiply both sides by 5 to get rid of the fraction :

10x + 80 = 2x

divide both sides by 2 :

5x + 40 = x

subtract x from both sides :

4x + 40 = 0

divide everything by 4 :

x + 10 = 0

subtract 10 from both sides :

x = -10

Answer 2

Answer : x = -10

Step-by-step explanation :

x = original number

2x + 16 = 2/5x

Change 2/5 to decimal

2x + 16 = 0,4x

Change the position of 16 and 0,4x

2x - 0,4x = -1

Subtract 2 by 0,4

1,6x = -16

Divide -16 by 1,6

x = -10

You can use this way or the other one but this way is faster than the others

Hope it helps !


Related Questions

Find a point on the line only.

Answers

Answer:

Step-by-step explanation:

this is very complicated and i suggest you to go to einstin

What is 804082 written in expanded form

Answers

Answer:

Step-by-step explanation:

(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082

Find the intercepts and use them to graph the equation y=x-6

Answers

Answer:

x intercepts= (6,0)

y intercepts= (0,-6)

Step-by-step explanation:

I graphed the points.

× intercepts= (6,0)
y intercepts= (0,-6)

Find the average rate of change of the given function on the interval [1,6]. g(x)=2x2−x

Answers

Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

The lengths of the three sides of a triangle (in feet) are consecutive even integers. If the perimeter is 60 feet, find the value of the shortest of the three side lengths.

Answers

Step-by-step explanation:

3 consecutive even integer numbers :

x

x + 2

x + 4

their sum is the perimeter : 60 ft.

x + x + 2 + x + 4 = 60

3x + 6 = 60

3x = 54

x = 18

the shortest of the 3 sides is 18 ft.

and then we have the other 2 sides with 20 and 22 ft.

Question 2 (1 point) Find the area of a triangle with two sides measuring 6 meters and 8 meters with an included angle of 137 degrees. D. 15.8 m² OB. 12. 7m² Oc 16.4m² A. 14.3 m²​

Answers

Answer:

1). True

2). x = 16.4 m^2

3). A = 24, h = 4

4). A = 18.39

5). 162

Step-by-step explanation:

I took this quiz on K12 and got everything correct! Brainliest welcome! :)

if Tn =5n +2 which term will have a value of 52​

Answers

Answer:

10th term

Step-by-step explanation:

given [tex]T_{n}[/tex] = 5n + 2 and [tex]T_{n}[/tex] = 52 , then equate right sides and solve for n

5n + 2 = 52 ( subtract 2 from both sides )

5n = 50 ( divide both sides by 5 )

n = 10

that is the 10th term has a value of 52

The cost to produce x units of wire is C= 45x + 450, while the revenue is R= 70x. Find the interval where the product will at least break even.

Answers

The interval where the product will be at least break even equals to 18 units.

What is a break even point?

In accounting, the break-even point refers to the production level at which total revenues equal total expenses.

Given data

Cost is given as C = 45x + 450

Revenue is given as: R = 70x

In this case, the point of breakeven will be:

Cost = Revenue

45x + 450 = 70x

We will collect like terms:

70x - 45x = 450

25x = 450

We will divide both side by 25:

25x/25 = 450/25

x = 18

Therefore, the interval where the product will be at least break even equals to 18 units.

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Comet Lee borrowed $16,000 on a 6%, 90-day note. After 20 days, Comet paid $2,000 on the note. On day 50, Comet paid $4,000 on the note. What are the total interest and ending balance due by the U.S. Rule? Use ordinary interest. (Use 360 days. Do not round the denominator in your calculation and round your final answers to the nearest cent.)

Answers

The total amount of interest and the final debt owed under the US Rule is $191.09.

Given that,

Comet Lee took out a $16,000 loan with a 90-day, 6% note. Comet settled the note for $2,000 after 20 days. Comet settled the note for $4,000 on day 50.

We have to find what is the total amount of interest and the final debt owed under the US Rule.

First,

To calculate $2000 per 20 days.

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $1600

r is 6%

t is 20 days is 20/360

So,

i= 1600×0.06×20/360

i= $53.33

Apply partial payment to interest due,

$2000-$53.33= $1946.67

Next,

Subtract remainder of payment from principal is adjusted balance

Adjusted balance =$16000-$1946.67

Adjusted balance =$14053.33

Now, Second,

To calculate $4000 per 50 days.

We know that,

i=p×r×t

So, p is $14053.33

r is 6%

t is 50 days is 30/360

So,

i= 14053.33×0.06×30/360

i= $70.27

Apply partial payment to interest due,

$4000-$70.27= $3929.73

Next,

Subtract remainder of payment from principal is adjusted balance

Adjusted balance =$14053.33-$3929.73

Adjusted balance =$10123.6

Now, for 40 days

i= 10123.6×0.06×40/360

i= $67.49

So, balance is 10123.6+67.49= $10191.09

When max make two makes partial payments,

The total interest is $53.33+$70.27+$67.49= $191.09

Therefore, the total amount of interest and the final debt owed under the US Rule is $191.09.

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Mia tasted ocean water and found it very salty which statement best explains the salty nature of ocean water?

Answers

I think the answer is C. Because the energy from the sun does break Down rocks and release salt

Given that 150 students were interviewed, 85 signed for mathematics, 70 signed for English, and 50 signed for both. Draw a venn diagram to show.

How many signed for only mathematics

Answers

Answer: 35

Step-by-step explanation:

If 85 students signed up for mathematics but 50 of those students also signed up for both then you need to subtract 85 from 50 to get 35.

WILL MARK BRAINLIEST
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x-6

Answers

Answer:

                             y = (-1/4)x + 9/4

Step-by-step explanation:

i got u

¿Cuántas personas podrán ir sentadas en 5 buses si en cada uno se suben 85 personas y solo van sentados tres quintas partes de esas personas?

Answers

The number of people that are seated in the buses is 425

How to calculate the number of people?

From the information, there are 5 buses and there are 85 people in each. Therefore, the total number of people will be:

= 85 × 5.

= 425

Since 3/5 of those people are seated, the number of people seated will be:

= Fraction of those seated × Total number of people.

= 3/5 × 425

= 255

Therefore, there are 255 people.

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Using the calculator below, substitute the values to calculate the interest amount on a the loan using the compound interest formula. Principal: $4,000 time: 10 years rate: 7% number of compounding periods: 4 What is the amount of the compound interest? (interest only)

a. 2,800
b. 4,757
c. 4,006
d. 59,897​

Answers

answer : c) 4,006




A = $8,006.39
A = P + I where
P (principal) = $4,000.00
I (interest) = $4,006.39

explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,

Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.07/4)(4)(10)
A = 4,000.00(1 + 0.0175)(40)
A = $8,006.39

Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 7% per year compounded 4 times per year over 10 years is $8,006.39.

Emmett is planning a party at an escape room. The escape room will charge Emmett a
booking fee and an additional cost per person attending the party.
This situation can be modeled as a linear relationship.

Answers

Answer:

B. After the booking fee the party will cost $20 per person

It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror. How far is it from your eyes to the image of your toes?

Answers

The distance between the eyes and the distance to the image of the toes will be 273.80 cm.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror.

The distance between the image of toes and eyes will be calculated as,

H² = P² + B²

H= √(P² + B²)

H = √(163² + 220²)

H = √(26569+48400)

H = √74969

H = 273.80 cm

Therefore, the distance between the eyes and the distance to the image of the toes will be 273.80 cm.

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how to find the area with a circumfernece of 18

Answers

The area of the circle with the circumference 18 units is 25.80 square units

How to calculate the area of the circle?

The given parameters are

Circumference = 18 units

As a general rule, circumference are represented by the variable C

So, we have the following representation equation

C = 18

The circumference of the circle can be calculated as

C = 2πr

Next, we substitute the value of the variable C in the above equation

i.e. C = 18

So, we have the following equation

2π * r = 18

Divide both sides by 2π

r = 9/π

The area of the circle can then be calculated using the following area formula

A = πr²

Next, we substitute the value of the variable r in the above equation

i.e. r = 9/π

A = π * (9/π)²

Evaluate the exponents

This gives

A = π * 81/π²

Evaluate the products

So, we have

A = 81/π

As a general notation, π = 3.14

So, we have the following equation

A = 81/3.14

Evaluate the quotient

A = 25.80

Hence, the area is 25.80 square units

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A scientist mixes water (containing no salt) with a solution that contains 20% salt. she wants to obtain 120 ounces of the mixture that is 15 % salt. How many ounces of water and how many ounces of the 20% salt solution should she use?

Answers

Answer:Say w= the amount of water in oz, then the 60% of the solution is 250 - w

Set up the equation:

Use distributive property first

0.60(250-w) = 0.15 x 250

Isolate to solve for w

150- 0.60w= 37.5

-0.60w= 37.5-150

0.60w= -112.5

w= 187.5 ounces

250-187.5= 62.5 ounces salt solution



Therefore, she must use 187.5 ounces of water and 62.5 ounces of salt solution for her experiment.

Hope this helps!

Step-by-step explanation:

Find which are the errors and solve correctly the problem:

Answers

Answer:

[tex]f^{-1}(y) = \sqrt{x-5}[/tex]

Step-by-step explanation:

You have to switch the f(x) to x and the x's to y's

[tex]x = y^2 + 5[/tex]

[tex]\sqrt{x-5} = \sqrt{y^2}[/tex]

[tex]y = \sqrt{x - 5}[/tex]

Pls help asap maths

Answers

32/3

Step-by-step explanation:

5 = 3(x-9)

5 = 3x - 27

5 + 27 = 3x

32 = 3x

x = 32/3

Translate each phrase into a variable expression. Use n for the variable.

Nine increased by twice a number ​

Answers

The expression of the phrase " Nine increased by twice a number " is 2n + 9

The given phrase is

Nine increased by twice a number

We have to convert the the phrase to the expression

The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal sign and inequality will not be the part of expression.

Consider the number as n

Twice the number = 2n

nine increased by twice a number = 2n + 9

Hence, the expression of the phrase " Nine increased by twice a number " is 2n + 9

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I need help with this problem. Please and thank you.

Answers

The correct option; B. Two irrational numbers, are the two roots found for the given quadratic equation.

What is defined as the discriminant?In mathematics, a discriminant is a parameter that can be determined for an object or system to help with its categorization or solution. The discriminant for the quadratic equation ax² + bx + c = 0 is b² - 4ac.If the discriminant is positive, the roots of such a quadratic or cubic equation having real coefficients are real and distinct, if the discriminant is zero, the roots are real with at least two equal, and if the discriminant is negative, the roots have included a conjugate pair of complex roots.

For the given question;

The quadratic equation is give as;

x² + 5x + 3 = 0

discriminant D = b² -  4ac

b = 5, a = 1 and c = 3

D = 25 - 4(1)(3)

D = 25 - 12

D = 13

√D = √13

As, number is real, there will be two real roots.

As, root of discriminant √D = √13 is a irrational number, the solutions of the given quadratic equation will be two irrational number.

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I need this for today !!!

Answers

Answer:

1. reflection

2.translation

3.rotation

4.translation

5.translation

6.reflection

7.rotation

8.reflection

Hope this helps

have a good day

God bless you!

What is the solution to the equation 3m-4-3/2m+8=0?

Om = -24

Om = -12

Om = -6

O m = -4

Answers

Answer:

[tex]m=-8/3[/tex], the options are wrong

Step-by-step explanation:

[tex]3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}[/tex]

The question is incorrect.

what is the vaule of 2 × 4^2 + 5 enter the answer in the box

Answers

The value of the expression 2 x 4² + 5 will be 37

What is expression in mathematics?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

2 x 4² + 5

On solving the expression, we get -

2 x 4² + 5

2 x 4 x 4 + 5

32 + 5

37

The value of the expression 2 x 4² + 5 will be 37

Therefore, the value of the expression 2 x 4² + 5 will be 37

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State whether the following variables have a positive correlation, negative correlation, or no correlation.

3.)

(a.)Height of a person and how often he or she attends religious services. __________________________________

(b.)Average property tax in a school district and salary of teachers __________________________

(c.)Weight of a person and shoe size. ____________________________

Answers

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

a. Height of a person and how often he or she attends religious services. - No correlation (b.)Average property tax in a school district and salary of teachers - Positive correlation (c.)Weight of a person and shoe size. - Positive correlation

What is the correlation between property taxes and teacher salaries?

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

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Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus

Answers

The equation of the line in the graph is y = 4x - 9..

How to find the equation of a line?

The equation of a line in slope intercept form can be represented as follows:

The line forms a linear equation.

Therefore,

y = mx + b

where

m = slopeb = y-intercept

Therefore, using (0, -9)(3, 3) let's find the slope

m = 3 + 9 / 3 - 0

m = 12 / 3

m = 4

Therefore, let's find the y-intercept using (0, -9).

-9 = 4(0) + b

b = -9

Therefore, the equation is y = 4x - 9.

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The population of city A is 24​% less than the population of city​ B, so city​ A's population is​ _____% of city​ B's.

Answers

Answer:

76%

Step-by-step explanation:

100%-24%=76%

Deion plans to repaint some classroom bookcases. He has 3 5 /1 ​ gallons of paint. All of the bookcases are the same size and each requires 1/5 ​ gallon of paint. How many bookcases will he be able to paint?

Answers

The bookcases that Deion will be able to paint is 16.

What is a fraction?

It should be noted that a fraction is a part of a whole number that has a numerator and denominator.

In this case, Deion has 3 1/5 gallons of paint and all of the bookcases are the same size and each requires 1/5 gallon of paint.

The number of bookcase needed will be:

= Total gallons / Gallons for each

= 3 1/5 ÷ 1/5

= 16/5 ÷ 1/5

= 16/5 × 5/1

= 16

He can paint 16 cases.

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What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?

Answers

Answer:

[tex]y-8=4(x+3)[/tex]

Step-by-step explanation:

The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex].

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