FRAME AN EQUATION AND SOLVE IT .NEED ASAP


3 is added to a number and the result is multiplied by 4 to get 20.​

Answers

Answer 1

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

x + 3

2) It is multiplied by 4.

4(x + 3)

3) It is equated to 20.

4(x + 3) = 20

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

1/4 x 4(x + 3) = 20/4x + 3 = 5

2) Subtract 3 on both sides.

x + 3 - 3 = 5 - 2x = 2

∴ The number is 2.


Related Questions

I need helping solving this :)

Answers

Answer: answer is B

Step-by-step explanation:

use Pythagorean theorem to find other side. And sine is opposite side over hypotenuse.

he cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches.



What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.

38 in.2
47 in.2
75 in.2
94 in.2

Answers

The lateral area of the cone is calculated as: B. 47 in.².

How to Find the Lateral Area of a Cone?

Lateral area = πrl

Given the following:

Slant height (l) = 5 inches

Radius (r) = 3 inches.

π = 3.14

Plug in the values

Lateral area = (3.14)(3)(5)

Lateral area ≈ 47 in.²

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HELPP WILL GIVE BRAINLIEST
which graph represents the function f(x) = sqrt(x) + 3

Answers

Answer:

the real answer is 2 I hope that


Pakistan scored 270 runs and fell short of India's score by 10%. How much did
India score?

Answers

Answer:

India score 290 more than pakistan

Step-by-step explanation:

India score 20 more

India score is
= 270/90 x 100
= 300 runs

What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30

Answers

Answer:

the product is 1.32057606543E32

Evaluate functions from their graph Problem g(3) =
See attached for the correct answer!

The notation g (3), left parenthesis, 3 refers to the output of the function when the input is x=. If the point (3, b) is on the graph, then g (3) =b.

We should look for the point on the graph whose x- coordinate is 3 is the point )3, 4).
The point on the graph whose x-coordinate is 3 is the point (3,4).

Therefore, g (3) = 4

Answers

The value of g(3) is g(3) = 4

How to evaluate the function?

The function value is given as:

g(x)

The notation g(3) implies that:

We determine the value of g(x) when x = 3

From the graph, the function has a point at (3,4)

This means that:

When x = 3, g(x) = 4

i.e. g(3) = 4

Hence, the value of g(3) is g(3) = 4

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Simplify. x^2+5x-/14 x²+8x+7​

Answers

please send a picture of it

the equation seems a lil bit complicated

which of the following statements is true about the solution of the system? 2x-y=8 and y=2x-3

Answers

Answer:

no roots.

Step-by-step explanation:

[tex]\left \{ {{2x-y=8} \atop {y=2x-3}} \right. \ = > \ \left \{ {{2x-y=8} \atop {2x-y=3}} \right. \ = > \ no \ solution.[/tex]

1. There are 50 contestants signed up for a TV show. There are 36 more female contestants than male contestants. How many female contestants have signed up to compete? Show your solution and explain how you plan to explain this to your students.

Answers

The number of female contestants who signed up to compete is; 43.

What is the number of female contestants?

Let number of females = x

Let number of males = y.

Hence, it follows from the task content that;

x+y = 50

x-y = 36.

Hence, by adding both equations together in a bid to determine the number of females; we have;

2x = 86

x = 43.

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A bag contains five yellow tickets numbered one to five. The bag also contains five green tickets numbered one to five. You randomly pick a ticket. It is green or has a number greater than four. Find the probability of this occuring.

Answers

The probability of picking a ticket that is green or has a number greater than four is 3/5

How to determine the probability?

The given parameters are:

Yellow = 1 - 5

Green = 1 - 5

Total = 10

There are 2 cards whose numbers are greater than 4 i.e. Yellow 5 and Green 5

So, we have:

P(Number greater than 4) = 2/10

There are 5 green cards.

So, we have:

P(Green) = 5/10

Also, 1 green card is numbered greater than 4

So, we have:

P(Green greater than 4) = 1/10

The required probability is:

P = P(Green) + P(Number greater than 4) - P(Green greater than 4)

This gives

P = 5/10 + 2/10 - 1/10

Evaluate

P = 6/10

Simplify

P =3/5

Hence, the probability of picking a ticket that is green or has a number greater than four is 3/5

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> Function g can be thought of as a translated (shifted) version of Y f(x) = x².​

Answers

Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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what is 73 division 84,649

Answers

73 division 84, 649 would give 8. 64 × 10^-4

How to determine the value

In order to determine the value of the division, we have

= [tex]\frac{73}{84649}[/tex]

Using the calculator, put the values in

We would have

= 8. 64 × 10^-4

Thus, 73 division 84, 649 would give 8. 64 × 10^-4

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Convert the following equation into slope-intercept form.

7x+y = 7

y = -7x+?

Answers

Answer:

y = - 7x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

7x + y = 7 ( subtract 7x from both sides )

y = - 7x + 7 ← in slope- intercept form

The wheel of the average bicycle is 28 inches in diameter. How many feet will be covered in 9
turns of the wheel?​

Answers

Answer:

Approximately 66 feet

Step-by-step explanation:

Given d = 28 in

Find the circumference:

C = πd = 3.14*28 = 87.92 in

Find the distance covered by 9 turns:

9C = 9*87.92 = 791.28 in

Convert inches to feet:

1 foot = 12 in791.28 in = 791.28/12 ft = 65.94 ft ≈ 66 ft

Geometry question please help!

Answers

Answer:

4

Step-by-step explanation:

Since,

The width of the Longer gear is 7, and the smaller gear has a width of 3..

7-3 = 4

Hope it helps...

Marking me as Brainliest would help me... :(

Amy and Vince want to save $7,000 so that they can take a trip to Europe in four years. How much must they save each month to have the money they need if they can get 3% per year, compounded monthly, on their savings?

Answers

Answer:

10

9

0

Step-by-step explanation:

you subtract the number of all your answers

Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.

Answers

Answer: 46.48 m²

Step-by-step explanation:

this question was answered already, go search it up

4x + 4y = 40
2x - 4y = 8

Answers

Answer:

x=8   y=2

Step-by-step explanation:

solve for x

1. 4x+4y=40

2. subtract 4y from both sides

3. 4x=40-4y

4. divide both sides by 40

5. [tex]\frac{4x}{4} = \frac{40-4y}{4}[/tex]

6. dividing by four undoes the multiplication by four

7.    [tex]x=\frac{40-4y}{4}[/tex]

8. divide 40 - 4y by 4

9. x=10-y

10. use the last equation to solve the rest

Please Help Brainliest

Answers

Using the z-distribution, the p-value would be of:

b) 0.0086.

What are the hypothesis tested?

At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the alternative hypothesis, we test if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

What are the mean and the standard error for the distribution of differences?

For each sample, they are given as follows:

[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex].[tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex].

For the distribution of differences, it is given by:

[tex]\overline{x} = \mu_D - \mu_C = 12 - 14 = -2[/tex].[tex]s = \sqrt{s_D^2 + s_C^2} = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

z = -2/0.76

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

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The solving to this question

Answers

This is a simple harmonic motion exercise. The proof that the resultant force on the particle, at time t, is -225 Newtons is indicated below.

What is the proof that the resultant force on the particle, at time t, is -225x newtons?

Note that we have been given the following:

Mass = 9kg,

Y = 45 N

ζ = 0.4 m

Then, Y/ζ  = 45N/0.4m

= 112.5 N/m

Hence, the spring constant =

K = 112. 5N/m

From this point we can resolve the Amplitude (A):
Amplitude is given as:

A = CB - PB

= 0.6 - 0.5

A = 0.1m

I) So because one spring is elongated by x and the other is compressed by x, Hence, the spring force is:

F[tex]_{net}[/tex] = - Kₓ - Kₓ

= - 2Kₓ
= -2 x 112.5 x* X

F[tex]_{net}[/tex] = -225x Newton ..........Lets call this expression 1

What is the proof that the particles move with simple harmonic motion?

From equation 1 above, we know that

Ma = -225x

a = (-225/m) x

⇒ a ∝ - x,

Hence, the motion is is simple harmonic in nature.


What is the period of the motion?

The time period, T = 2 π√m/K[tex]_{eq}[/tex]

Where, K[tex]_{eq}[/tex] = 2K

= 2π√(9/225)

= 2π * 3/15

= 2(22/7) * (3/15)

= 1.25714285714; thus

T ≈ 1.26 secs...............lets call this expression 2

What is the speed of the particle when it is 0.05 meters from C?

Note that Angular Frequency is = 2π/T

= 2π/1.26

= 4.9866550057

ω = 4.99 rad/s

Since the velocity at any point x from the mean position is given by

V = ω √ (A² - x²); hence

V = 4.99 √[(0.1)² - (0.05)²

V = 4.99 x 0.0866
V = 0.432134

V ≈ 0.432..........Lets call this expression 3

What is the expression of x in terms of t?

Along the x-axis, A simple harmonic motion can be depicted as:

x = A sin (ωt + Ф) ..........lets call this expression 4

where, Ф = Phase constant

At t = 0; x = A

A = A sinФ

⇒ SinФ = 1

⇒ Ф = π/2

Expression 4 becomes:

x = A sin (ωt + π/2)

Inserting the values of ω and A, we have

x = 0.1 sin (4.99t + π/2).........Lets call this expression 5a

or  x  = 0.1 cos (4.99t).......Lets call this expression 5b

Hence,

Sin(π/2  + Ф) = CosФ

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2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25

Answers

Answer: 6.5, 6.25, 6.05, 6.007

Step-by-step explanation:

We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.

6.5, 6.25, 6.05, 6.007

Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.

2 is the second biggest number out of all that are underlined, so 6.25 goes second.

However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.

6.05, 6.007

Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.

Hence, the order is 6.5, 6.25, 6.05, 6.007

I need help with this geometry question asap!

Answers

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

When are Two Lines Proven to be Parallel to each other?

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

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Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

Answers

the expression simplified is:

[tex]12x^3 - 25x^2 + 9[/tex]

How to simplify the given expression?

Here we have the expression:

[tex](4x - 3)*(3x^2 - 4x - 3)[/tex]

We just need to distribute the product, we will get:

[tex](4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9[/tex]

Now we just need to group terms with the same exponent of x:

[tex]12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9[/tex]

That is the expression simplified

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Solve the inequality for x.
5x-39-3(6-4x)
Simplify your answer as much as possible.

Answers

Answer:

= 5x-39-18-12x

=5x-12x-39-18

=-7x-57

What is the domain of the rational function f of x is equal to the quantity x squared minus x minus 12 end quantity over the quantity x cubed minus 4 times x squared minus 4 times x plus 16 end quantity question mark

{x ∈ ℝ| x ≠ –2, 2, 4}
{x ∈ ℝ| x ≠ –2, 2}
{x ∈ ℝ| x ≠ –3, 4}
{x ∈ ℝ| x ≠ –3, –2, 2, 4}

Answers

The domain of the rational function is:

{x ∈ ℝ| x ≠ –2, 2}

What is the domain of the rational function?

Here we have the rational function:

[tex]f(x) = \frac{x^2 - x - 12}{x^3 - 4x^2 - 4x + 16}[/tex]

We want to get the domain of that function. First, we can rewrite the numerator and denominator as:

[tex]x^2 -x - 12 = (x + 3)*(x - 4)[/tex]

[tex]x^3 - 4x^2 - 4x + 16 = (x - 4)*(x + 2)*(x - 2)[/tex]

Then we can rewrite the rational function as:

[tex]f(x) = \frac{(x + 3)*(x - 4)}{(x - 4)*(x + 2)*(x - 2)}[/tex]

This can be simplified to:

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

Now, the domain will be the set of all real numbers, minus the values of x that generate problems.

In this case, the values:

x = -2 and x = 2 make the denominator to be zero, and we can't divide by zero, so  we conclue that the domain is:

{x ∈ ℝ| x ≠ –2, 2}

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Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
NEXT QUESTION
ASK FOR HELP

Answers

The expression that would be simplified to be a multiplicative identity is 2^0

How to determine the expression that would be simplified to be a multiplicative identity?

The complete question is added as an attachment

Multiplicative identities are represented as:

a * 1 = a

This means that the definition of multiplicative identities is the product of a number and 1

From the list of options, we have

2^0

When the exponent of a non-zero number is 0, the result is 1.

This means that

2^0 = 1

Hence, the expression that would be simplified to be a multiplicative identity is 2^0

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PLSS HELPPPPP ASAPP

Answers

Answer:

Step-by-step explanation:

area=length×width

=(2x+3)(3x-5)

Area=6x²-10x+9x-15

=6x²-x-15

An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.

Answers

Answer:

$19.50

Step-by-step explanation:

Dividing both sides by 32, we get $19.50.

If you spend $50 (including shipping) at an online store, you recieve a $10 gift card. You want to purchase CDs that cost $12 each. If shipping cost $5, write and solve an inequality to find the number of Cds you must to receive the giftcard.

Answers

Four CDs must be bought to receive a gift card from an online store.

How to determine the least number of CDs to be bought to receive a gift card

The total costs are equal to the sum of the shipping cost and the total related to the number of acquired CDs (n). The number of gift cards (m) is equal to the total costs divided by minimum spent money, that is, $ 50. We need to solve the following inequation to find the minimum quantity of CDs:

(12 · n + 5)/50 > 1

12 · n + 5 > 50

12 · n > 45

n > 45/12

n > 3.75

Four CDs must be bought to receive a gift card from an online store.

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Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²

Answers

The choice which is equivalent is  [tex]6x^2\sqrt{3}[/tex] option B

How to determine the value

We have that;

[tex]\sqrt{6x^2} * \sqrt{18x^2}[/tex] where [tex]x\geq 0[/tex]

First, we factorize the square root

= [tex]\sqrt{2 * 3 * x^2 } . \sqrt{3 * 3 * 2 * x^2}[/tex]

Find the common factors

= [tex]2 * 3 x^2\sqrt{3}[/tex]

= [tex]6x^2\sqrt{3}[/tex]

Thus, the choice which is equivalent is  [tex]6x^2\sqrt{3}[/tex] option B

The complete question is;

Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²

a. [tex]6\sqrt{3x}[/tex]

b. [tex]6x^2\sqrt{3}[/tex]

c. [tex]6\sqrt{18x}[/tex]

d. [tex]\sqrt{108x^2}[/tex]

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The first step in to protecting our environment The horizontal viewing angle is the angle subtended by a straight line fromeach side of the screen to the seating position.THXTHX Ltd., is a company founded in 1983 by George Lucas that developsaudio/visual reproduction standards for movie theaters. According to THX,the viewing angle in a theater should be no less than 26 degrees and the bestviewing angle seems to be around 45-50 degrees and towards the center.Suppose seat G11 has a horizontal viewing angle of 45. This would be considered the best seat in the theater.3. What is the measure of the arc the screen subtends? picture explains everything please help ASAP About how long does it take for the reaction to reach equilibrium in this concentration versus time graph?a graph of reactant and product concentration vs. time; a red curve shows the reactant concentration decreasing while two blue curves show the product concentration increasing with time; both blue curves intersect the red curve; the chemical equation is water reacting to produce hydrogen and oxygenA. 0.5 secondB. 1.5 secondsC. 2.5 secondsD. 4.5 seconds Sarif is performing a lab experiment, and one of the chemicals is labelled with thefollowing WHMIS pictogram.Identify one hazard associated with a chemical that is labelled with thispictogram. What is one precaution Sarif should take? Calculate the mass in grams of benzophenone required to make a solution of 2.5 mmoles Synaptic potentials that do not depolarize membrane potential enough to reach threshold are known as ______. Please help me! Giving brainliest!Identify the surface areaA. S=2332 mB. S=2283 mC. S=2234 mD. S=1919 m The united states was locked in a border dispute concerning the oregon territory with . the disagreement would have broken out into war. but president james polk made the decision to negotiate further and settle for a compromise. finally, the border between the united states and canada was set at the parallel. Which country in modern day Europe has seen the most dramatic change in territory between 1650 and today A 540 gram object is attached to a vertical spring, causing the springs length to change from 70 cm to 110 cm.What is the spring constant k?Group of answer choices130 N/m33 N/m13 N/m330 N/m Im the diagram shown JKL~ MNP. Find MP and PN. The use of a thiazide diuretic that inhibits NaCl reabsorption in the distal tubule does which of the following identify and shade the following regions on separate venn diagram Cicero argued that one cannot easily separate what one says from: According to walkers (1984) cycle of violence theory, battering is cyclical in nature, occurring in three ordered (in order) stages of:_______ What is the net force acting on the crate? 352 n to the left 176 n to the left 528 n to the right 440 n to the right The rigid portion of earth composed of the crust and the uppermost part of the is the? Which relationship describes a function?O (bedrooms, sale price)(acres of land, appraised value)(sale price, bedrooms)(appraised value, property tax) How does the energy of an electorn change when the electron moves closer to the nucleus?