Find the value of x if 4(6x - 9.5) = 46. Show your work!

Answers

Answer 1

[tex] \huge \mathrm{ \underline{Ànswér : }}[/tex]

let's solve for " x "

[tex]➢ \: \: 4(6x - 9.5) = 46[/tex]

[tex]➢ \: \: 6x - 9.5 = \dfrac{46}{4} [/tex]

[tex]➢ \: \: 6x - 9.5 = 11.5[/tex]

[tex]➢ \: \: 6x = 11.5 + 9.5[/tex]

[tex]➢ \: \: 6x = 21[/tex]

[tex]➢ \: \: x = \dfrac{21}{6} [/tex]

[tex]➢ \: \: x = 3.5[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]


Related Questions

Find the original price.
Original price: $_____

Discount: 20%

Sale price: $75

Answers

Answer:

$90

Step-by-step explanation:

Answer:

The original price is $93.75 if it is 20% off you will pay $75.

Step-by-step explanation:

1st.) We know the original price is considered 100%

So...Subtract the discount from the original percent.

100% (original percent)

20% (discount percent)

----

80%

2nd.) Make equation. We need the percent to be in decimal form so move the decimal point to the left two places. (80% will now equal 0.8)

0.8x=$75

0.8x/0.8=$75/0.8

x=$93.75

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

The original price is $93.75 if it is 20% off you will pay $75.

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

Answers

Answer:

You would need to add the picture in order to get an answer

Determine the number of solutions for the linear system that models this problem:
Two people are playing a game. The difference in their points is 57. When the number of points each
player has is doubled, the difference is 114. How many points does each person have?
Select one:
a. no solution
b. two solutions
c. one solution
d. infinite solutions

Answers

Answer:

it's got unlimited solutions

Step-by-step explanation:

what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?

a. 1/3
b. 1/2
c. 2
d. 13

Answers

Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides

15x - 10 = 10 + 6 + 2x , that is

15x - 10 = 16 + 2x ( subtract 2x from both sides )

13x - 10 = 16 ( add 10 to both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Answer:

2

Step-by-step explanation:

15x-10=10+6+2x

15x-2x=10+10+6

13x=26

divide 13 both sides

x=2

Given the expression below, what will the sign of the product be? Justify your answer. 4x (9) * 2.78 x (13) * (-}) *(-6.2) * (- 2873) * (31)

Answers

Answer:

i don't know ha ha ha ha sorry

Write your answer in simplest form.
-2/3+7/9

Answers

Answer:

1/9

Step-by-step explanation:

You combine the fractions finding the least common denominator. Once you do that, you get your answer of 1/9.

I hope this information was of any use to you.

Order these equations by the value of x, starting with the smallest.
7x + 21 = 5x + 35
x + 5 = 3x - 1
5x + 5 = 6x - 5

TYYY​

Answers

1)second equation, x=3
2)first equation, x=7
4)third equation,x=10

Answer:

x + 5 = 3x -1

7x + 21 = 5x + 35

5x + 5 = 6x - 5

Step-by-step explanation:

7x+21=5x+35

-5x -5x

2x+21=35

-21 -21

2x=14

÷2 ÷2

x=7

x+5=3x-1

-x -x

5=2x-1

+1 +1

6=2x

÷2 ÷2

x=3

5x+5=6x-5

-5x -5x

5=x-5

+5 +5

x=10

Hope this helps! :)

solve the equation (1÷49)^x + 2 =(7)^x - 3​

Answers

9514 1404 393

Answer:

  x = -1/3

Step-by-step explanation:

Maybe you mean ...

  (1/49)^(x +2) = 7^(x -3)

Taking logarithms base 7, we have ...

  -2(x +2) = x -3

  -2x -4 = x -3 . . . . . eliminate parentheses

  -1 = 3x . . . . . . . . . . add 3+2x

  x = -1/3 . . . . . . . . . divide by the coefficient of x

This is confirmed by a calculator in the first attachment.

_____

As written, the equation is ...

  ((1/49)^x) +2 = (7^x) -3

Multiplying both sides by 7^(2x) gives us ...

  1 + 2·7^(2x) = 7^(3x) -3·7^(2x)

Subtracting the left side gives us the cubic equation in 7^x:

  (7^x)^3 -5·(7^x)^2  -1 = 0

This has one irrational real root (found using a graphing calculator). The solution is ...

  x ≈ 0.83111881051

This answer is confirmed in the second attachment. (10^-16 is essentially zero for this purpose.)

__

Additional comment

Part of the reason for going to the trouble to solve the "as written" equation is to show you that it is possible, though messy. What we'd like to emphasize here is that grouping symbols are needed when exponents contain math operations.

In typeset text, the superscript font indicates the grouping of parts of an exponent. In plain text, we cannot tell if 7^x-3 means (7^x)-3 or 7^(x-3). The Order of Operations tells us to interpret it the first way: (7^x) -3, because exponentiation is done before addition. That leads to trouble in this problem.

use the unit rate to find the number of hours it takes to fill the pool with 3,185 gallons of water

Answers

Answer:

4.9 hours

Step-by-step explanation:

3185/650 = 4.9

Which is the Value if this expression when m = 3 and n = -5 ​

Answers

what’s the expression?

Kinda need some help

The number 4 in 8^4 is called
the..

A)Base

B)variable

C)Exponent

D)Term

Answers

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

The 4 in 8^4 is called an Exponent (C)

Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.

Answers

6576 cm2

See the image encrypted above.

If AD is 10 inches long BD is 6 inches long

Answers

Answer:

AB = 8 inches

Step-by-step explanation:

given :

AD = 10 inches

BD = 6 inches

AB = ?

using pythagoras theorem

a^2 + b^2 = c^2

BD^2 + AB^2 = AD^2

6^2 + AB^2 = 10^2

36 + AB^2 = 100

AB^2 = 100 - 36

AB^2 = 64

AB = [tex]\sqrt{64[/tex]

AB = 8

The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC  is equal to 8 inches.

In the figure of triangle ADC ,

DB is perpendicular to AC such that A- B- C.

Measure of angle CBD = 90 degrees

This implies,

As angle ABD and CBD are linear pair

⇒ Measure of angle CBD + Measure of ABD = 180°

⇒ 90° + Measure of ABD = 180°

⇒  Measure of ABD = 180° - 90°

⇒  Measure of ABD = 90°

Now triangle ABD is right angle triangle,

AD = 10 inches

BD = 6 inches

By applying Pythagoras theorem we have,

AB² + BD²  = AD²

⇒ AB² = AD² - BD²

⇒ AB² = 10² - 6²

⇒ AB² = 100 -36

⇒ AB² = 64

⇒ AB = √64

⇒ AB = 8 inches

Therefore, the length of the AB is equal to 8 inches.

Learn more about length here

brainly.com/question/2497593

#SPJ2

PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!

Answers

Answer:

Step-by-step explanation:

             Statements                                  Reasons

1). AD ≅ BC                                           1). Given

2). ∠D ≅ ∠C                                          2). Given

3). ∠DEA ≅ ∠CEB                                 3). Vertically opposite angles

4). ΔADE ≅ Δ BCE                                4). AAS postulate of congruence

5). AE ≅ BE                                           5). CPCTC

Hence, proved.

In ΔMNO, m∠M = 57° and m∠N = 75°. Which list has the sides of ΔMNO in order from shortest to longest?

Answers

Answer:  Choice B

MN, NO, OM

Refer to the diagram below

=====================================================

Explanation:

M = 57 and N = 75 are the two given angles.

Angle O is the missing angle of the triangle.

Recall that for any triangle, the three inside angles always add to 180

M+N+O = 180

57+75+O = 180

132+O = 180

O = 180-132

O = 48

Angle O is 48 degrees.

Note: be sure not to mix up the letter 'oh' with the number zero. Unfortunately, they look very similar.

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

We know the following three angles of this triangle

M = 57N = 75O = 48

As a rule, the smallest side is always opposite the smallest angle. The smallest angle is O = 48, and the side opposite that is MN.

Also, the largest side is always opposite the largest angle. The largest angle is N = 75, and the side opposite that is OM

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

In short, we found that MN is the smallest side and OM is the longest side.

That must mean side NO is placed in the middle of MN and OM

So that's how we get get the answer of MN, NO, OM which is choice B.

Refer to the diagram below.

Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference

Answers

9514 1404 393

Explanation:

Given:

The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BACangle BAC = α + β

Prove:

angle BOC = 2×angle BAC

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

Which graph shows a function whose inverse is also a function?
T
5
4
3
2
+1)
-2.-1
3
4
5
X

Answers

Answer:

hello the function graph is turned 90 degree like clock way.

All the plotted graphs represent functions whose inverse is also a function.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function whose inverse is also a function.

A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a  function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.

Therefore, all the plotted graphs represent functions whose inverse is also a function.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Answers

Answer:

The height of the triangle is [tex]6[/tex] cm.

Step-by-step explanation:

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

The formula for solving the area of a triangle is  [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.

[tex]30=\frac{1}{2} (10)h[/tex]

-------------------->>>>

Now, let's solve to find the height.

[tex]30=\frac{1}{2}(10)h[/tex]

Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]

[tex]30=5h[/tex]

Divide both sides by 5.

[tex]6=h[/tex]

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

Hope this is helpful.

Answer:

6 cm

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Help me please! Thank u

Answers

Answer:

D is correct answer to the question

Please help I’ll give brainliest

Answers

Answer:

Answer is 670000 If you can please give me brainliest

Simplify (¼)^-2 + (1/6)^-3

Answers

The simplified answer would be 232

Answer:

232

Step-by-step explanation:

In picture

Brainliest please

Rachel draws a trend line through the following data
points. Did she draw the line correctly?

Answers

Answer:

i think its A but im not sure its correct

Step-by-step explanation:

find the product (9x+9)(x+2)

Answers

Answer:

9x^2 + 27x + 18

Step-by-step explanation:

(9x + 9)(x + 2)

=9x(x + 2) +9(x + 2)

=9x^2 + 18x + 9x + 18

=9x^2 + 27x + 18

A = (-123) + 77 + (-257) + 23 – 43

Answers

Answer:

[tex]A=-323[/tex]

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

Billy looks through holiday brochure in Spain, Greece,Italy and UK.
1/3 in Spain, 1/6 in Greece,1/8in Italy the remainder in uk

Answers

Answer:

Assuming you want to know there was for UK it was [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Let's add the fractions together

[tex]\frac{1}{3} +\frac{1}{6}+\frac{1}{8\\}\\\frac{8}{24} +\frac{4}{24} +\frac{3}{24} =\frac{15}{24}[/tex]

The remainder is the amount in UK so

[tex]\frac{24}{24} -\frac{15}{24} =\frac{9}{24} \\[/tex]

Simplified it's [tex]\frac{3}{8}[/tex]

Please solve the following simultaneous equations.
3 + y - 2x = 0
3x2 + 2y2 – 4xy = 9​

Answers

Answer:

(3, 3) (1, -1)

Step-by-step explanation:

Answer:

(1, - 1) , (3, 3 )

Step-by-step explanation:

Given the 2 equations

3 + y - 2x = 0 → (1)

3x² + 2y² - 4xy = 9 → (2)

In (1) subtract 3 - 2x from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side

3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9

3x² + 8x² - 24x + 18 - 8x² + 12x = 0

3x² - 12x + 18 = 9 ( subtract 9 from both sides )

3x² - 12x + 9 = 0 ( divide through by 3 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )

x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )

11.16071428571429 rounded to 4sf

Answers

Answer:

11.16

Step-by-step explanation:

4sf=four numbers

if 0 is first number, leave it out because 0 is a significant figure

Answer:

11•16

u won't add zero because its less than 5.

Use addition to solve the linear system of equations. Include all of your work in your final answer.x-y=4 x+2y=4

Answers

Answer:

x = 4 , y = 0

Step-by-step explanation:

x -    y = 4 --------- ( 1 )  

x + 2y = 4 -------- ( 2 )

( 1 ) x - 1 => - x + y = - 4  -------------( 3 )

( 2 )      =>    x + 2y = 4  ----------- ( 2 )

( 2 ) + ( 3 ) => 0 x  + 3y = 0

               => y = 0

Substitute y = 0 in ( 1 ) => x - y = 4

                                  => x - 0 = 4

                                        x = 4

         

Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8

Answers

Answer:

see below

Step-by-step explanation:

-X – 10 > 14 + 2x.

Subtract 2x from each side

-x-2x -10 > 14+2x-2x

-3x -10 > 14

Add 10 to each side

-3x -10+10 > 14+10

-3x > 24

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random

Answers

Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

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