The quotient of 36 and a whole number increased by 3, is 20 less than four times the number.
Find the number(s).

Answers

Answer 1

Answer: [tex]\frac{12}{19}[/tex]

Answer 2

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

The algebraic equation becomes =

[tex]\frac{36}{x+3}-20 = 4x\\[/tex]

We simplify the equation to find the value of x.

[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]

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Related Questions

The sum of the areas of two circles is 80n square meters. Find the length of a radius of each circle if
one of them is twice as long as the other.
27
GO
What is the radius of the larger circle?

Answers

Answer:

8 meters.

Step-by-step explanation:

Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π

π x^2 + π 4x^2= 80π

x^2 + 4x^2= 80

5x^2 = 80

x^2 = 16

x = 4.

So the radius of the larger circle = 2*4 = 8 m.

8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm

Answers

D) 30 mm

should be it!! GL:)

The the volume of the triangular prism is 30mm so D

Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
(1,5).

Answers

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?

Answers

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3

Giving Brainliest!
(This is very easy!)





Miss Gonzales opened an account with a deposit of $2,000. The account earned annual simple interest. She did not make any additional deposits or withdrawals. At the end of 6 years, the balance of the account was $2,696. What is the annual interest rate on this account ?

Answers

Answer:

I think its 22.5 or 18% if its the rate then its 22.5 I believe

state the rule obeyed by the variables in each relation diagram below

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.

3 times 2, and plus1

gives you 7.

Test it on the other numbers.

-1 times2, and plus1

2(-1)+1 = -1

2(0)+1 = 1

2(1)+1 = 3

2(2)+1 = 5

It works for all the numbers.

You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"

(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.

If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.

In the figure below all lines intersect at point W what is the value of angle VWX?

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

What is the value of D?
5/6 = 1/3 + D

Answers

Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

Write your answer as a fraction or as a whole or mixed number.
27pts

Answers

What we know:

Bird feeder capacity:             -->  2 4/5 cupsSamantha's scoop capacity: -->  7/10 cups

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

Bird feeder capacity:             -->  14/5 cupsSamantha's scoop capacity: -->  7/10 cups

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  [tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

What’s the distance between the points (-3,10)and(6,-2)

Answers

Answer:

i think its 20

Step-by-step explanation:

For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

The given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

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I need help I'm stuck ?

Answers

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

pls quick The cost of 10 ounces of cheese is 99 cents. What is the price of 10 pounds of cheese in dollars?

Answers

the cost in dollars is $15.84

Answer:

Step-by-step explanation:

The answer is $15.84

A closet is in the shape of a rectangular prism. It is 214feet long, 3 feet wide, and 4 feet tall.

What is the volume of the closet?

Answers

Putting each of these lengths into the volume equation (length×width×height)…
214×3×4=2568
Therefore the volume is: 2568ft³

help me ??????? please

Answers

Answer:

58%

Step-by-step explanation:

vertical angles are always the same

The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is
1,170 square inches. Write an equation to find the height of the table.
HELPP

Answers

Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

Expand and simplify (4x−3y)(6x−5y).

Answers

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

Which of the following expresses a potential difficulty with preference ballots?

Preference ballots only list one candidate per elected position.

Preference ballots are seldom used and difficult to produce.

The results of preference ballots can be time-consuming to compile.

It is easy to commit voter fraud by falsifying preference ballots.

Answers

The results of preference ballots can be time-consuming to compile

The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.

What is preference ballot?

A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.

Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.

Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.

Thus, this can result in delays in announcing the results and can be time-consuming to compile.

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I need this answered please

Answers

Answer:

domain: ( 3,6,6)

range : (b,a,d)

15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per day. Then its value went down by $5 a day for 10 days.

What is the value of the stock today?

Using Order of Operation
please answer i need it today :'(​

Answers

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

(One steel rod’s volume) = 3.14 x 4^2 x 20

= 1004.8cm^3

(Used steel) / (One steel rod’s volume) =

(Made steel rod’s number)

The answer is 28

Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.

Answers

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds

Answers

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.

Answers

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss

I NEED HELP ASAP find the lateral area and surface area of a triangular prism (a, 12^{2} 15^{2}) the height is 20. PLEASE HELP

Answers

Answer:

Step-by-step explanation:

If you can help me with this please and thank you

Answers

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

HURRY SO EASY COMPUTER IS ABOUT TO DIE AGAIN
The pencils at a store cost $0.65 each. Each pencil weighs 1.85 ounces. All the pencils at the store have a combined weight of 44.4 ounces. How much would it cost to buy all the pencils at the store?

Answers

Answer:

$15.60

Step-by-step explanation:

Hey there!

In order to solve this word problem, we need to find out how much pencils there are first

To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85

44.4 divided by 1.85 is 24

So now we know that there are 24 pencils total in that store

What they are asking is how much does it cost to buy all the pencils in the store

It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total

So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store

24 times 0.65 is 15.60

So the cost to buy all the pencils at the store is $15.60

Graph y=|x-2|
ASAP I really need this please

Answers

Step-by-step explanation:

move the parent function to the right 2 times.

Answer:

see image

Step-by-step explanation:

An absolute value graph is a V-shaped graph(in yellow, see image) You can use "transformations of parent functions" to graph it (high school/college) OR use a table of values (middleschool/hs). The - 2 that's in the parenthesis with the x causes the graph to slide to the RIGHT 2 units. (shown in green) The green graph is what you are asking for.

If you aren't learning about translations (which means shift or slide and is a type of transformation) then you can just make a table of values. Pick several x's and put them in the equation and find out what y's go with them. Plot the points on the graph and connect. See image.

What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16

Answers

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

Other Questions
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