If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

Answer 2

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2

[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x


Related Questions

Analyze the diagram below and complete the instructions that follow.



Quadrilateral LMNO is a rectangle. Find MN.

A.
7
B.
10
C.
18
D.
27

Answers

Answer:

there is no diagram ......

see screenshot below​

Answers

Answer:

[tex] \displaystyle B) {x} = \log_{6} 118[/tex]

Step-by-step explanation:

we would like to solve the following exponential equation:

[tex] \displaystyle 2 \cdot {6}^{x} = 236[/tex]

to do so divide both sides by 2 which yields:

[tex] \displaystyle {6}^{x} = 118[/tex]

take log of base 6 in both sides so that we can solve the equation for x by using [tex]\log_ab^c=c\log_ab[/tex] and that yields:

[tex] \displaystyle \log_{6} {6}^{x} = \log_{6} 118[/tex]

use the formula:

[tex] \displaystyle {x} = \log_{6} 118[/tex]

hence,

our answer is B)

Answer:

[tex]\boxed{\sf Option \ B }[/tex]

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation is ,

[tex]\sf\dashrightarrow 2 \times 6^x = 236 [/tex]

Transpose 2 to RHS , we have ,

[tex]\sf\dashrightarrow 6^x = \dfrac{236}{2} [/tex]

Simplify ,

[tex]\sf\dashrightarrow 6^x =118 [/tex]

Use log both sides with base "6"

[tex]\sf\dashrightarrow log_6 ( 6^x) = log_6 118 [/tex]

Using the property of log ,

[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p q^r = r log_p q}\bigg\rgroup[/tex]

[tex]\sf\dashrightarrow x \ log_6 6 = log_6 118 [/tex]

Again we know that ,

[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p p= 1}\bigg\rgroup[/tex]

We have ,

[tex]\sf\dashrightarrow x \times 1 = log_6 118 [/tex]

Therefore ,

[tex]\sf\dashrightarrow\boxed{\blue{\sf x = log_6 118 }} [/tex]

Hence option B is correct .

10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is​

Answers

Answer:

2/5

Step-by-step explanation:

First, we can draw the rectangle out, as shown. The length is twice the width, and the diagonal, y, cuts across the rectangle. This forms a right triangle, and using the Pythagorean Theorem, we can say that

y² = x² + (2x)²

y² = x² + 4x²

y² = 5x²

square root both sides

y=√(5x²)

The diagonal, or y, is equal to √(5x²). This is equal to one side of the square

The area for the rectangle, which we need to find for the ratio, is length * width = x * 2x = 2x²

The area for the square, which we also need to find for the ratio, is (side length)² = √(5x²) = 5x²

The ratio for the area of the rectangle to the area of the square is therefore 2x²/5x² = 2/5 (crossing out the x² in both the numerator and the denominator). We know to put the rectangle on top because of the specific wording of "the ratio of the area of the rectangle to..."

If somebody can give me the answer!!!
Please I need help

Answers

Answer:

Its B

Step-by-step explanation:

You're correct

B is the correct answer

The second hand on a clock is
8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?

Answers

Answer:

8.37 cm rounded

Step-by-step explanation:

C = 2π r

C = 2π (8)

C = 16 π

C = 50.24

1/6 ( 50.24)= 8.37

Find the equation of the line through the points (-5,11) and (2,-3)
y=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 11 / 2 - (-5)

-14/ 7

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

What is Index Law 1?
please give a definition

Answers

Answer:

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . ... Example: In this example, the powers were multiplied together to give the answer which is 3 to the power of 6.

What is the midpoint of AB?
A
F GHI
B
+
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
3 4 5 6 7
5 6 7 8 9
+
+
point F
point G
point H
O point

Answers

Answer:

the answer is point G

It is found that Point G is the midpoint of AB.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We are Given two points A and B which are located at -6 and 8 on the number line. We need to find the midpoint of AB.

First we have to calculate the distance between AB which can be calculated as;

8-(-6)=14 units

Now, to find the midpoint we have to divide the total distance by 2.

Hence, the mid point of AB is 7 units apart from both points A and B then G.

Learn more about midpoint here;

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ANSWER ASAP ILL MARK BRAINLIEST!!! if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?​

Answers

Answer:

x = -1

Step-by-step explanation:

the equation of the axis of symetry =>

x = -1

We have to find,

The equation of the axis of symmetry.

The answer will be,

→ x = -1

Therefore, this is the equation.

Helppp and explain pls and ty

Answers

The answer should be c 4 hours

What is the minimum perimeter of a rectangle with an area of 625 mm^2

Question 2 options:


100 mm


125 mm


156.25 mm


312.5 mm

Show your work:

Answers

Answer:

100 mm

Step-by-step explanation:

Square root the area to find the length of each side

[tex]\sqrt[]{625} =25[/tex]

Multiply 25 by 4 to get the sum of all four sides for the perimeter

25 x 4 = 100

If Q = 5+2i, E = i, and D = 5-2i, find Q.E.D

Answers

Answer:

Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³

Step-by-step explanation:

Use the figure to find the angle m

Answers

Answer:

Measure of angle M = 41°

Step-by-step explanation:

From the figure attached,

NM ≅ NO [Given]

Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]

By triangle sum theorem,

m∠O + m∠N + m∠M = 180°

m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]

By substituting the values of the given angles,

(4y - 15)° + (7y)° + (4y - 15)° = 180°

(15y - 30) = 180

15y = 210

y = 14

Therefore, m∠M = (4y - 15)°

                           = 4(14) - 15

                           = 56 - 15

                           = 41°

(-6)+(-1)+4+9+...+64 sequence

Answers

Answer:

n

Step-by-step explanation:

hb

U have to times add subtract any of the numbers well what ever numbers u have to do for that and then u add the numbers without the brackets and always put the numbers in brackets first!! Always!!

6. The right triangles ABC and DEF
are similar. The hypotenuse of ABC
measures 12 cm and the hypotenuse
of DEF measures 24 cm. If one of
the legs of ABC measures 9 cm,
what does the corresponding leg
of DEF measure?
A 4.5 cm
B 18 cm

Answers

Answer:

B. 18 cm

Step-by-step explanation:

24 / 12 = 2.

9 x 2 = 18 cm.

Hope this helps!

What is the area of trapezoid DEFG with coordinates D (4, 3), E (4, 0), F (2, 1), and G (2, 3)?
10 square units
5 square units
3 square units
2 square units

Answers

The area of the trapezoid is 10 square units

How to find the area of a trapezoid?

The formula for finding the area of the trapezoid is expressed as:

A = 0.5(a+b)h

where:

a and b are the sides

h is the height

Given the following

a = 3

b = 2

h = 4

Determine the requried volume of the trapezoid

Substitute

A = 0.5(3 + 2)*4

A = 0.5(20)

A = 10 square units

Hence the area of the trapezoid is 10 square units

Learn more on area of trapezoid here: https://brainly.com/question/1463152

Answer:

B) 5 Square Units

Step-by-step explanation:

Answered from another colleague :)

B1 = 2

B2 = 3

H = 2

A = 1/2 (B1 + B2) H

1/2 (2+3) 2

1/2 (5) 2

(2.5)2

5

ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m from Ahmed. Determine the angle of elevation of the plane measured from Ahmed, to the nearest degree

Answers

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}[/tex]

Therefore

[tex]tan(\theta) = \dfrac{y}{x}[/tex]

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

If a rectangle has a length of 10 and an area of 50 Units squared what is the perimeter

Answers

Answer:

The perimeter is 10+10+5+5, or 30.

Step-by-step explanation:

The formula to find area is A=LW. Since the area is 50, we can assume that the width is 5, because 10x5=50. The perimeter is made up of the sides of a rectangle, or L+L+W+W. This is 10+10+5+5.

Answer: 30


Step 1: Find width

Before we can find the perimeter, we must first determine the width. We are told that the length is 10, and the area is 50. To find the width, let’s write an equation. We can do so by remembering that the area is equal to the length and width.

a= l × w
50= 10 × w

Now that we have an equation, we can solve. Let’s do so by isolating w. To do so, divide each side by 10.

50= 10 × w
5= w

Step 2: Find perimeter

We now know the width. Let’s use our knowledge to find the perimeter. We can begin by writing the formula for the perimeter, and substituting each factor to find out answer. Remember that the perimeter is all of the sides added together.

p= L+L+w+w
p= 2L+2w
p= 2(10)+2(5)
p= 20+10
p= 30


Hope this helps! Comment below for more questions.

Use the cross product property to determine witch of the following equalities are proportions:

6.6/1.1 = 0.3/0.05

Answers

Answer:

proportion

Step-by-step explanation:

6.6/1.1 = 0.3/0.05

Using cross products

6.6 * .05 = 1.1 * .3

.33 = .33

Since this is a true statement, the statement is a proportion

Can someone help me with this math homework please!

Answers

9514 1404 393

Answer:

  (-1, 1)

Step-by-step explanation:

Find the differences between an f(x) value and the previous one

  3 -18 = -15

  0 -3 = -3

  3 -0 = 3

  6 -3 = 3

  3 -6 = -3

Where the differences are positive, the function is increasing on the interval. Here, it is increasing on the intervals (-1, 0) and (0, 1). Then the longest increasing x-interval is (-1, 1).

The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the second number is 97 find the numbers

Answers

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2  + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting  for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

please help!! i have no idea!

Answers

Answer:

θ = 60.34

Step-by-step explanation:

[tex]\frac{\left(12.8\cdot \:sin\left(90\right)\right)}{sin\left(52.3\right)}[/tex] = 16.177

[tex]\frac{\left(16.177\cdot \:sin\left(90\right)\right)}{18.6}[/tex] =  θ = .869

[tex]arcsin\left(.869\right)[/tex] = 60.34

Answer:

60.4°

Step-by-step explanation:

There are two right triangles.

One right triangle (on the left side) has an acute angle measuring 52.3°.

Its opposite leg measures 12.8 cm.

We can find the length of its hypotenuse, x.

sin 52.3° = opp/hyp

sin 52.3° = 12.8 cm/x

x * sin 52.3° = 12.8 cm

x = 12.8 cm/sin 52.3°

x = 16.2 cm

Now we use the hypotenuse of the left side triangle which is a leg of the right side triangle.

For the right side triangle, we are looking for angle Θ. We know the opposite leg, 16.2 cm and the hypotenuse, 18.6 cm.

sin Θ = opp/hyp

sin Θ = 16.2/18.6

sin Θ = 0.8698

Θ = sin^-1 0.8698

Θ = 60.4°

using trig solve for the missing angle

Answers

Answer:

The answer is 26.4

How many solutions does-3x = -x – 2x have?

Answers

Answer:

infinite solutions

Step-by-step explanation:

-3x = -x – 2x

Combine like terms

-3x = -3x

Add 3x to each side

-3x+3x = -3x+3x

0 =0

This is always true so there are infinite solutions

The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
produce F"G"H". what are the coordinates of vertex F" of F"G"H"?

Answers

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

[tex]T_{5,-0.5}.R_{0.180^{\circ}}(x,y)[/tex]

Apply the rule [tex]R_{0,180^{\circ}}[/tex] first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

[tex]T_{5,-0.5}[/tex]

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

            → F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3

Answers

Answer:

not true

Step-by-step explanation:

i just wants points mate

Which expression is equivalent to
8x^7y^8? Assume x>0.

Answers

Answer:

2x^3y^3Sqrt2 is the expression

Question 2 of 10
What is the length of MN?
M
4x
x + 3
250"
50
N
A. 4
o
B. 1
C. 7
ОО
D. 8

Answers

Answer:

4

Step-by-step explanation:

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

The measurement of MN side is 4

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

Learn more about triangles here:

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(4 x 10 ^ 7) ÷ (8 x 10 ^ 4) in standard form PLZ ANSWER QUICK

Answers

Answer:

4.67×10

4

=4.67×10000=46700

[tex]4.67 \times {10}^{4} [/tex]

[tex] = \: 4.67 \times 1000[/tex]

[tex] = \: 46700[/tex]

helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!

Answers

Answer:

[tex]\boxed{\sf sin\ C =\frac{40}{41}}[/tex]

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}[/tex]

Hence the required answer is 40/41.

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