Find three consecutive integers such that 4 times the first decreased by the second is 12 more than twice the third

Answers

Answer 1

The three consecutive number are 17 , 18 and 19 respectively

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = x

Let the second number be = ( x + 1 )

Let the third number be = ( x + 2 )

Now ,

A = 4 times the first decreased by the second is 12 more than twice the third

Substituting the values in the equation , we get

4x - ( x + 1 ) = 12 + 2 ( x + 2 )

On simplifying the equation , we get

4x - x - 1 = 12 + 2x + 4

3x - 1 = 16 + 2x

Subtracting 2x on both sides of the equation , we get

x - 1 = 16

Adding 1 on both sides of the equation , we get

x = 17

Therefore , the value of x is 17

Hence , the consecutive numbers are 17 , 18 and 19

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Related Questions

A: Tomato - 20

B: Cucumber- 9

C: Peas - 27

D: Onion - 6

Answers

Answer:

A(tomatos)

Step-by-step explanation:

So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.

tomato - 30%cucumber - 15%peas - 45%onion - 10%

We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.

So tomato is .3, cucumber is .15, peas are .45, and onion is .1.

Now, lets mutiply these nubmers by the 60 and see what we get:

.1*60

=

6

That seems correcdt for the onion

.45 * 60

=

27. That looks correct for peas.

.15 * 60

=

9 That looks correct for cucumber

.3*60

=

18. Thats not 20! So that must be the answer!

Hope this helps!

HELP PLSS I'M LOST PLSSSSSSSSSSSSSSSSS

Answers

Answer:

First Row:

75/100

0.75

75%

Second Row:

10/100 (or 1/10)

0.10

10%

Step-by-step explanation:

Count the squares that are shaded in out of the 100.

Just divide the fraction together for the decimal.

Move the decimal two places to the right to get the percentage


1
/

1
+
(
ln
x
)
2
d
x

Answers

The integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c

What is Integration?

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data

The given integral is ∫1/√1 +(lnx) 2dx

= ∫1 +2(lnx)dx

Apply the sum rule

∫f(x)±g(x)=∫f(x)±∫g(x)

= ∫1dx +2∫(lnx)dx

=x+2(xln(x)-x)+c

=-x+2xln(x)+c

Hence, the integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c

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need some help please​

Answers

Answer:

what help I will help yoy

please help !!!!!!!!

Answers

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

Plz help me well mark brainliest if correct........????

Answers

Answer:

Your answer is B

Step-by-step explanation:

edge = V^1/3

edge = 216^1/3

Linda bought a total of 12 lb of flounder and shrimp and paid $20 for the flounder and $20 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?
Select one:

a.
8 lb shrimp and 4 lb flounder

b.
4 lb shrimp and 8 lb flounder

c.
6 lb shrimp and 6 lb flounder

d.
2 lb shrimp and 10 lb flounder

Answers

Answer:

B: 4 lb shrimp and 8 lb flounder

Step-by-step explanation:

if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.

 please let me know question 10

Answers

I believe ur answer is C
D is your answer. I used the method of elemination.

Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sure to check your conditions and state your conclusion.

1.) Randomly selected
2.) Less than 10% of population
3.) 50 (0.68)
50 (0.32)

Answers

the answer would be 2

anyone know this click to see links will be reported

Answers

(Going top to bottom)
7
15
-5
1
-4

write the equation for the hyperbola with foci (-12,6) , (6,6)and vertices (-10,6), (4,6)

Answers

The equation for hyperbola with given foci is [tex]\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1[/tex]

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

[tex]\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1[/tex]

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is [tex](\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)[/tex]

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

[tex]\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1[/tex]

[tex]\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1[/tex]

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speed getsa u brainle

Answers

Answer:

ye?

Step-by-step explanation:

When x^2-2x + 14 is divided by x-1 the remainder is?
Is it 13?

Answers

Yes, 13 is the remainder.

See dat pic for full solution.

Solve 8 = 2x +4.(1 point)

01) x = -4
O2) x = -1
3) x = 0
4) x = 7

Answers

Are you sure about Options؟ because it will be 2 !

Answer:

x=2, should be the correct answer but that isnt a choice

Step-by-step explanation:

8=2x+4

4=2x

2=x

x=2

can someone say what 45-49 is with regrouping? thanks!

Answers

Answer:

it's -4 i don't know what you mean by regrouping, sorry

Step-by-step explanation:

Answer:

45-49

=-4 ans!

this is the answer

PLS HURRY! THANK YOU

A. y=(x+5)^2-1125
B. y=(x-5)^2+1125
C. y=-5(x+5)^2-1125
D. y=-5(x-5)^2+1125

Answers

Answer:

C. y=-5(x+5)^2-1125 i don't know is this is right

Answer: It’s D, y = -5 (x - 5)^2 + 1125

Step-by-step explanation:

Consider the function f(x) = 2x and the function g(x).
g(t) = f(x + 4)
= 2( + 4)
How will the graph of g(x) differ from the graph of Ax)?
OA
The graph of g(x) is the graph of Ax) shifted 4 units to the left.
OB The graph of g(x) is the graph of f(x) shifted 4 units upward.
C. The graph of g(x) is the graph of f(x) shifted 4 units downward.
D. The graph of g(x) is the graph of Ax) shifted 4 units to the right..

Answers

Answer:

c

Step-by-step explanation:

c

Answer:

a

Step-by-step explanation:


1. Indicate whether the following statements are True (T) or False (B).
(a) Unicellular organisms have one-celled body.(t/f)
(b)
Muscle cells are branched.(t/f)
(c) The basic living unit of an organism is an organ.
(T/F)
(d) Amoeba has irregular shape.(T/F)

Answers

Answer:

true,false,false,true

Step-by-step explanation:

Answer:

a) T

b) F

c) F

d)T

Step-by-step explanation:

Help!! Factor the common factor out of each expression

Answers

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

What is the equation?

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25[tex]b^{2}[/tex] + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25[tex]b^{2}[/tex]  = -(5)(5) * [tex]b^{2}[/tex]

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * [tex]b^{2}[/tex] +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Which of the following sentences is true?

Answers

Answer:

option a is correct

Step-by-step explanation:

any square is also a rhombus

A is correct answer here

a baker has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small

Answers

Answer:

7 muffins

Step-by-step explanation:

Okay, let's do 88/9 = 9 R 7

The R7 will go in the small box, so 7 is your answer

Hope that helps! :)

-Aphrodite

what is the surface area of this rectangular pyramid​

Answers

Answer:

Hello! answer: 75

Step-by-step explanation:

5 × 5 = 25 for a square

for a triangle 5 × 5 = 25 25 ÷ 2 = 12.5 12.5 × 4 = 50 25 + 50 = 75 therefore the total area is 75 HOPE THAT HELPS!

75 would be the answer to your problem

An online health and medicine company claims that about 50% of Internet users would go to an online sight first for
information regarding health and medicine. A random sample of 1318 Internet users was asked where they will go for
information the next time they need information about health or medicine; 606 said that they would use the Internet. Test
the claim that less than 50% of Internet users get their health questions answered online.

Answers

Answer:

The claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Step-by-step explanation:

Since an online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine, and a random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet, to test the claim that less than 50% of Internet users get their health questions answered online, the following calculation must be performed:

1318 = 100

606 = X

606 x 100/1318 = X

60600/1318 = X

45.978 = X

Therefore, the claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

There are 120 students and 10 teachers at a small private school. To keep the same
student to teacher ratio, how many teachers are needed for 240 students?

Answers

Answer:

20

Step-by-step explanation:

I need help on this question it’s due tomorrow.

Answers

The transformation in the graph is 1 units vertically downwards.

The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.

What is transformation on the graphs?

Let the function f(x) and g(x) are two real functions.

And  g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given:

The function f(x) = eˣ,

and the function g(x):

g(x) = f(x)-1= eˣ-1.

The graph of both the functions are given in the attached images.

For the base function f (x) and a constant k, the function given by

The transformations in the graph is defined by:

g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The value of k determines the direction of the shift. Specifically,

if k > 0, the base graph shifts k units upward, and

if k < 0, the base graph shifts k units downward.

Here, k = -1

And the graph of g(x) is the graph of f(x) is shifted down 1 unit.

Therefore, the f(x) is shifted to 1 unit downward.

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I need help with this?

Answers

The first equation will be multiplied by 3 and that of the second by 4.

What is an elimination method?

An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.

Given that are two equations to be solved by using elimination method,

-4x+4y = 32.....(i)

3x-y = 12......(ii)

To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4

-12x+12y = 96.....(iii)

12x-4y = 48....(iv)

Solving the equations, we get,

8y = 144

y = 18

Put y = 18 in eq (ii)

3x-18 = 12

3x = 30

x = 10

Hence, the first equation will be multiplied by 3 and that of the second by 4.

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4 x 3/6 = [] x1/6
What number makes the equation true?

Answers

x=12, the number would be 12 to make the equation true

The amount of gas that a helicopter uses is directly proportional to the number of hours
spent flying. The helicopter flies for 2 hours and uses 24 gallons of fuel
. Find the number of
gallons of fuel that the helicopter uses to fly for 5 hours,

Answers

Answer:

60 gallons

Step-by-step explanation:

We can create a ratio for this. If we consider 2 as the 1 in the ratio, we have a ratio of 1 : 2.5. Therefore, we just need to multiply 24 by 2.5, which equals 60.

(tan A)/(sec(A) - 1) + (tan A)/(sec(A) + 1) = 2cos ecA

Answers

Answer:

Step-by-step explanation:

LHS = tanθ/secθ - 1 + tanθ/secθ + 1

Cross multiplication,

tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ

= tanθ(1 - secθ - 1 - secθ)/-tan^2θ

= -2secθ/-tanθ

= 2 x 1/cosθ / sinθ/cosθ

= 2cosecθ = RHS

Hence proved.

Raina has to give medicine to her cat every morning for the next days. How many weeks is this?

Answers

Answer:

(number of days)/7

Step-by-step explanation:

1 week = 7 days

Divide the number of days by 7 to find the number of weeks.

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