the sum of two numbers is 32 when 5 is subtracted from fourth and one of the number the result is 8 times the other number find the difference between the two numbers​

Answers

Answer 1

We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5

Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that

x+y=32 ...(i)

Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as

4x-5=8y

4x-8y=5....(ii)

So we have two equations

x+y=32

4x-8y=5

We will multiply equation (i) by 4 to cancel out x and solve for y

4x+4y=128

4x-8y=5

(-)  (+)   (-)

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

    12y=123

y=10.25

We substitute the value of y in equation (i)

x+y=32

x+10.25=32

x=32-10.25=21.75

We need to find the difference between two number which is x-y=21.75-10.25=11.5

Therefore we found out by substitution method that the difference between the two numbers is 11.5

Learn more about substitution method here:

https://brainly.com/question/22340165

#SPJ9


Related Questions

PLS ANSWER ASAP
Subtract.
−13−(−27)
Enter your answer in the box.

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

PLZ HELP ME ON THIS QUICK

Answers

Answer:

the answer will be x=6 because 6×3=18 hope this helps

Help plz
Btw it's NOT A and B​

Answers

Answer:

C

Step-by-step explanation:

I'd like to remember that the signs are pointing at the direction

Answer:

its c

Step-by-step explanation:

Please help me in this Im failing.​

Answers

Answer:

B and C

Step-by-step explanation:

The answer to your question is either B or C. I hope this helps

e^2 x e^3=? jbdbiuevdeqdkjufwdufhdkfbskdjbfwjrbfkuwvkusnaer

Answers

Answer:

e^5

Step-by-step explanation:

When you multiply with exponents you add ONLY the exponents and multiply the variables    

What is the y-intercept of the graph of the line whose equation is y=3/4x+1
0
1
3/4
4/3

Answers

Answer:

The correct answer is "1".

Step-by-step explanation:

You need only set x to zero, and solve for y:

[tex]y = \frac{3}{4} x + 1\\y = \frac{3}{4}0 + 1\\y = 1[/tex]

What is the first term of an AP whose common difference is 2 and 31st term begin -88

Answers

Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

 

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

Need help with this one
Please and thank you

Answers

Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.

Step-by-step explanation:

-9 yes and no to the rest

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

A: -0.33

Step-by-step explanation:

If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33

what is a linear equation that contains these points?​

Answers

B. It can be written in the following form: y=7+0*x so for any value of x, y would be 7

Your cell phone company charges $20 per month for 500 minutes plus an additional
10 cents per minute for additional usage. If you use 510 minutes this month how
much should you expect to pay?
$1000
$21
$20
$20.10

Answers

Answer:

$21

Step-by-step explanation:

$20 for the 500 minutes

We still have to pay for 10 minutes.

10 cents per minute.

10centsx10 minutes.

100 cents, also known as 1 dollar.

$20 plus $1 means the answer is $21.

Hope this helps!

-AxekickNebulite


(6x + 5)
°
(3x + 4)º
A)16
B)10
C) 6

D) 9

E) 14​

Answers

Answer:

9

Step-by-step explanation:

What is perpendicular to 1/6

Answers

Note: Your question is a little ambiguous and incomplete. I am assuming you are talking about the slope of lines here.

Answer:

the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]

Step-by-step explanation:

Note: I am assuming you are talking about the slope of lines here.

Given

The slope of line = 1/6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]

If the coordinates of point a are (-2 3) what is the image of a under y-axis d3

Answers

Answer:

The coordinates of the image under the y-axis will be:

a'(2, 5)

Step-by-step explanation:

Given the point

(2,3)

We know that when we reflect a point across the y-axis, the y-coordinate remains the same, but the x-axis reverses its sign.

Thus,

Rule of reflection under y-axis:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the P(x, y)

Given that the point

a(-2, 5)

Thus, the coordinates of the image under the y-axis will be:

(x, y) → (-x, y)

a(-2, 5) → a'(-(-2), 5) = a'(2, 5)

Therefore, the coordinates of the image under the y-axis will be:

a'(2, 5)

Average student loan debt after a bachelors degree increases from 18,108 in 2004 to 28,522 2014. Find the absolute change

Answers

Answer:

The absolute change is 10,414

Step-by-step explanation:

To get the absolute change, we simply use the mathematical formula below

Absolute change = New value - Original value

From the question, the new value is 18,108 while the original value is 28,522

So the absolute change will be;

28,522-18,108 = 10,414

Please I need your help quickly guys,

Answers

Substitute -6 for x.

(-6+3)/(-6-1).

-3/-7.

--=+

Answer: 3/7.

Please help with this math question...
When using Interval Notation, explain how the grouping symbols are used and how to determine the order of the numbers used in the interval. Use words such as: brackets, smallest, non-included, included, largest, interval, and parentheses.

Answers

Answer:

Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.

What decimal is equal to 6/20


O 0.2
O 0.3
O 0.6
O 0.8

Answers

the answer is 0.3 :)................
0.3....................

I will mark brainlist and 5 stars, please help.

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

since the rectangles are similar their sides are in proportion

h/210 = 60/84

h= 60*210/84 = 150 cm

please help me. will give brainlist

Answers

Answer:

x= 2.2

Step-by-step explanation:

10/11 = 2/x

cross multiply to get

10x=22

x=2.2

Answer:

x = 2.2 (Verified Answer) ✅

Step-by-step explanation:

We need to set up a proportion where the triangle with side x is proportional to the triangle with a side measure of 2.

So, 10/2 = 11/x

We cross multiply to get 10x = 22

Dividing gives us x = 2.2

We can check our answer by substituting our answer in for x.

10/2 = 11/2.2

22 = 22 ✅

How would you factor a^3 - b^3? Please leave detailed instructions. Thanks so much!

Answers

a³ - b³ = (a - b) (a² + ab + b²)

You can see why this works if you expand the right side as

a (a² + ab + b²) - b (a² + ab + b²)

(a³ + a²b + ab²) - (a²b + ab² + b³)

Both the a²b and ab² terms cancel, leaving you with a³ - b³.

I need help with this

Answers

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

What is the equation of the line that passes through the points (5, 3) and (-3,-1)?

Answers

Answer:

y=1/2x+1/2

m=1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,3) and (-3,-1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.

Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=

-1 - 3 over

-3 - 5

or...

m=

-4 over

-8

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,3). When x of the line is 5, y of the line must be 3.

(-3,-1). When x of the line is -3, y of the line must be -1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.

(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(5,3) and (-3,-1)

is

y=1/2x+1/2

answer the question plz​

Answers

Yes reflection about the y axis...

The Question’s above

Answers

Answer:

B

Step-by-step explanation:

function f gives the distance of a dog from a post, in feet, as a function of time in seconds, since its owner left. Find the value of f(20) and of f(140)

Answers

The value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

In the question ,

the graph represents a function which gives the distance of a dog from a post (in feet ) ,

to find, f(20) which means the distance of the dog from the post after 20sec .

As we can see from the graph that at t=20 sec the distance from post (in feet ) is 3feet .

which means f(20) = 3feet .

Also from the graph we see that at t=140 sec the distance from post (in feet ) is 3.5 feet .

which means f(140) = 3.5 feet .

Therefore , the value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

Learn more about Functions here

https://brainly.com/question/10439235

#SPJ1

The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x+ 2 centimeters,
a. Find the side lengths of the rectangle. Justify your answer.
b. Find the perimeter of the rectangle.

Answers

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

What is perimeter of rectangle?

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

What is area of rectangle?

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

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

[tex]x^{2} +2x[/tex] - 24 = 0

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

To know more about perimeter and area of rectangle here:

https://brainly.com/question/16572231

#SPJ2

Write the ratio
2/3 /5
in simplest form

Answers

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

2. Find f(x)*g(x) *
f (x) = -2x + 4 and g(x) = 2x2 – 3x + 4

Answers

Answer:

i believe your answer is ..... f(2x^2-3x+4)= -4x^2+6x-4

Step-by-step explanation:

hope that helps

3)
Which two ratios form a proportion?
A)
4
and
2
B)
IN
4
and
1 8
8
and
D)
IN
16
and
8

Answers

Answer:

D is the correct answer

Other Questions
which answer best describes the meaning of the boldfaced word? sally had always lived in a large town, but, when she arrived in new york city, she was amazed at how enormous the city seemed. big big unimaginably gigantic unimaginably gigantic large large a little bit bigger than what she was used to Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julias age what assumption of the keynesian model gives rise to the elastic region of the keynesian aggregate supply curve? explain. an administrator deploys a basic network intrusion detection system (nids) device to identify known attacks. what detection method does this device use? What is the formula for volume usuing density and mass? Write a system of equations to describe the situation below, solve using any method, and fillin the blanks.Learn with an exampleSusan is going to ship some gifts to family members, and she is considering two shippingcompanies. The first shipping company charges a fee of $20 to ship a medium box, plus anadditional $1 per pound. A second shipping company charges $5 for the same size of box,plus an additional $4 per pound. At a certain weight, the two shipping methods will cost tresame amount. How much will it cost? What is that weight?The two shipping methods both cost $Submitat a weight ofpounds. a cylindrical container must hold 2l or 2,000 cm^3 of liquid. find the dimensions of the container which will minimize the amount of material needed. An upper-level is manager proposes that his organization implement a system to consolidate shipping and exception data from multiple carriers so that consumers know when their purchase will ship and when it will arrive. What business strategy does this represent?. empowering medical students as agents of curricular change: a value-added approach to student engagement in medical education Write another word you know that begins with the prefix dis-. Explain how the prefix helps you understand the meaning of the word. Notebook kelly owns a massage studio and is offering free 15-minute massages to the participants of a popular 5k race event. this is an example of What does theme mean?The moral, message, or lesson in a story that can be applied to everyday life. What the story is mostly about. What the author says. What the characters do in the story. Simplify to a single power of 2:(2)^4 Why must scientists always communicate their results If a=-5, find the value of 2a - 5a - 10 almonds are a crop that grows on trees. farmers do not need to replant trees every year to produce a crop of almonds. it takes at least five years after planting for trees to bear fruit. several factors such as weather, disease, and long term projections about price impact the supply of almonds available. barley is a grass that must be planted each year to produce a crop. the growing season is short, about three to four months. several factors influence farmers' decisions to plant barley each year, including price, weather, and disease. Math was confusing like the inside of a watch. This sentence includes what type of figurative language based on the examples provided in the video, dominos overall global product strategy is best described as multiple choice creating a totally different product mix in each country. glocalization. offering similar products worldwide, with minor adaptations for local tastes. a strategic alliance. offering the same products worldwide. A rectangular park is 18 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park define the term species