9(w – 4) – 7w = 5(3w – 2)

Answers

Answer 1

Answer:

-2 =w

Step-by-step explanation:

9(w – 4) – 7w = 5(3w – 2)

The first step is to distribute

9w -36 - 7w = 15w -10

Combine like terms

2w -36 = 15w -10

Subtract 2w from each side

2w -36 -2w = 15w-10-2w

-36 = 13w -10

Add 10 to each side

-36+10 =13w-10+1-

-26 = 13w

Divide by 13

-26/13 =13w/13

-2 =w


Related Questions

enter a number in the box so that the equation will have infinitely many solutions.

Answers

Answer:

5

Step-by-step explanation:

10c+15=5(2c+3)

use distributive property

10c+15=10c+15

Hope this helps!

If not, I am sorry.

Answer:

You would have to insert 5 for there to be infinite solutions.

10 points!! Help me out please!!

Answers

To solve this, we need to use our trigonometric equations

  ⇒ look at the diagram attached

Let's examine what the problem wants:

the length of the side adjacent to the 58-degree angle

Let's examine what the problem gives us:

the length of the side opposite to the 58-degree anglethe angle that has a measure of 58-degrees

Let's solve:

  [tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.

Answers

Using the circle theorems, the value of z is 45

Circle Geometry

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

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which of the following is true for the relation f(x)-x^2+8

Answers

Answer: A

Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?

Find the measure of the three missing angles in the rhombus below.
Explain it.

Answers

The measure of the three missing angles in the given rhombus are:

x = 122°

z = 58°

y = 122°

What is a Rhombus?

A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.

x and 58° are adjacent angles and are therefore supplementary.

x = 180 - 58 = 122°

z = 58° (opposite angles)

y = x = 122° (opposite angles)

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HELP ASAP ILL MAKE YOU THE BRAINIEST
fInd the value of x

Answers

Step-by-step explanation:

cos x = 2/6.5 = 0.3

arccos 0.3 = 72.54 degree

Simplify -b/2a where a =-8 and b =-1

Answers

The correct value of this algebraic expression is -1/16

             

Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.

According to the rules of signals, we will have to:

*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +

*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -

[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]

[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{-16}[/tex]

[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]

Therefore, the final answer to this simplification will be -1/16

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.

Answers

The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters

How to determine the lateral area?

The given parameters are:

Base length (b) = 6Slant height (l) = 13

The lateral area is calculated using:

Lateral = 0.5 * (Perimeter of base) * Slant height

This gives

Lateral = 0.5 * (3 * 6) * 13

Evaluate

Lateral = 117

Hence, the lateral area is 117 square centimeters

How to determine the surface area?

The surface area is calculated using:

Surface = l²√3

This gives

Surface = 13² * √3

Evaluate

Surface = 292.72

Hence, the surface area is 292.72 square centimeters

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Answer:

L = 117 cm2 ; S = 132.6 cm2

Step-by-step explanation:

Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.

P=3(6)=18

Therefore, the perimeter of the regular triangle is 18 cm.

Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.

L=1/2(18)(13)=117

Therefore, the lateral area of the pyramid is 117 cm2.

The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.

The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.

Express 34m 8cm 6mm in mm

Answers

Answer:

34086 mm

Step-by-step explanation:

34m = 34000 mm

8cm = 80 mm

6mm = 6mm

34000+80+6 = 34086 mm

Answer:

34086 mm

34m = 34000m

8cm  = 80mm

What a scale drawing a tree is 4 inches tall the scale factor is 1:24. Find the actual height

Answers

Answer:

96 inches

Step-by-step explanation:

1:24

4:x

cross multiply:

x=4*24

x=96

[tex]3x^2+8x+4=0[/tex]
Solve using the quadratic formula.

Answers

Answer:

[tex]x = -\dfrac 23\\\\x = -2[/tex]

Step by step explanation:

[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]

[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]

Use the distributive property to write an equivalent expression to:

3 over 4 minus 1 half left parenthesis 4 x minus 1 half right parenthesis

Answers

Answer:

11/4

Step-by-step explanation:

The question in math symbols 3/4 - 1/2(4*-1)

By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication

3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2

Then we can convert the 2 into a fraction of fourths

3/4 + 2 = 3/4 + 8/4

Now we just add the numerators and keep the denominator

3/4 + 8/4 = 11/4

Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

Answers

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

Write down the next term in each of these sequences. a) 19, 15, 11, 7, 3,​

Answers

Answer:

-1

Step-by-step explanation:

Find the difference of each sequence

19 - 15 = 4

15 - 11 = 4

11 - 7 = 4

7- 3 = 4

3 - ? = 4

Subtract 4 from the 3

3 - 4 = -1

Therefore, the next term is -1

Name the inverse opet
The inverse operation that you can use to solve this equation is

Answers

Answer:

Division

Step-by-step explanation:

You can use division to divide fractions.

Say you have a problem

3/4 divided by 2/5

Turn 2/5 into its reciprocal

That would be 5/2

then multiply 3/4 and 5/2

Which would be 15/8

Which is your answer

(not sure if this is what you are really asking)

The account balance on april 1st is $50.51. on april 15th a payment of $15.00 is made. on april 25th a purchase of $19.27 is made. the annual rate is 18%. what is the finance charge using the previous balance method? $ what is the new balance? $

Answers

The finance charge will be $ 0.76. Then the new balance will be $ 55.54.

What is a finance charge?

Finance costs are paid to the provider in exchange for supplying cash or granting the loan.

The account balance on April 1st is $50.51.

On April 15th payment of $15.00 is made.

On April 25th a purchase of $19.27 is made.

The annual rate is 18%.

Then the finance charge will be

⇒ $ 50.51 x 0.18 / 12

⇒ $ 0.76

Then the new balance will be

New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76

New balance = $ 55.54

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Given circle N with chord AB, which point lies on the perpendicular bisector of AB?

Answers

The point that lies on the perpendicular bisector of AB is point N

How to determine the point?

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

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1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo

Answers

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

¿Cuál es el signo del resultado de la suma de dos números enteros negativos?

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

Sí quieres aprender más sobre sumas:

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During ‘Bob a job week’ a Boy Scout decided to earn money by cleaning shoes.It takes him 2 1/2 minutes to clean one pair.At one house he was given 12 pairs to clean.How long did it Take him to complete the task?

Answers

Answer: It took him 30 minutes to clean 12 pairs of shoes.


2 1/2 can be written as a decimal, 2.5, to make the equation simpler. It takes him 2.5 minutes per pair of shoes.

Given 12 pairs, we can find how long it took him using multiplication: 2.5(12) = 30
It took the Boy Scout 30 minutes to complete the task. This is also equivalent to half an hour.

ASAP!!! What is the volume of this prism?

Answers

Answer:

a) 56

Step-by-step explanation:

(2x2x6)+(4x4x2)

24+32

i need the answer asap

Answers

Answer:

It b(4) because if you time 3 times 4 it equals 15.

Step-by-step explanation:

To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x - 6?
A -14
B 14
C -6
D 6

Answers

Addition Property of Equality is basically a complex way of saying add the same number to both sides.  In this problem we are trying to isolate x for it to be by itself so we must deal with -6.  Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.

Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.

I think is 6 we’ll letter D hope this help

John travelled 450km using 31 litres of petrol. (km/litre)

Answers

Answer:

its SUMMER wth

Step-by-step explanation:

Its time too TURN UPPP!

Answer:

450/31=14.51km/litre

what's the area of a trapezium with a height of 6cm and a length of 9cm and 15cm?

Answers

Answer:

72cm²

Step-by-step explanation:

Hello!

The formula for area of a trapezoid: [tex]A = \frac12(b_1 + b_2)h[/tex]

We find the average of the bases, and multiply it by the height.

Plug in the values and solve[tex]A = \frac12(b_1 + b_2)h[/tex][tex]A = \frac12(9 + 15)6[/tex][tex]A = \frac1224(6)[/tex][tex]A = 12(6)[/tex][tex]A = 72[/tex]

The area of the trapezoid is 72cm²

What is the domain of the function graphed below?

Answers

Answer:

A: X < 7

Step-by-step explanation:

Choose the correct alternative.
the earnings of ahmed and bekhit are in the ratio 3:7 and that of bekhit and saeed is 4:9 and that of mohammed and saeed is 7:6. if the sum of the earnings of ahmed, bekhit, saeed, and mohammed is aed 52,950, then what are the earnings of mohammed?

aed 21,050
aed23,050
aed 24,050
aed33,050

Answers

Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Earnings of Ahmed.Variable y: Earnings of Bekhit.Variable z: Earnings of Saeed.Variable w: Earnings of Mohammed.

The earnings of ahmed and bekhit are in the ratio 3:7, hence:

[tex]\frac{x}{y} = \frac{3}{7}[/tex]

[tex]3y = 7x[/tex]

[tex]y = \frac{7x}{3}[/tex]

That of bekhit and saeed is 4:9, hence:

[tex]\frac{y}{z} = \frac{4}{9}[/tex]

[tex]4z = 9y[/tex]

[tex]z = \frac{9y}{4}[/tex]

[tex]z = \frac{63x}{12}[/tex]

The ratio of mohammed and saeed is 7:6, hence:

[tex]\frac{z}{w} = \frac{7}{6}[/tex]

[tex]7w = 6z[/tex]

[tex]w = \frac{6z}{7}[/tex]

[tex]w = \frac{378x}{84}[/tex]

The sum is of 52950, hence:

[tex]x + y + z + w = 52950[/tex]

[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]

[tex]1099x = 52950 \times 84[/tex]

[tex]x = \frac{52950 \times 84}{1099}[/tex]

[tex]x = 4047[/tex]

Hence, Mohammed earnings in aed are given as follows:

[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]

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What is negative 8 times 9 times negative 5 minus negative 14​

Answers

(-8 * 9 * -5 )- -14

360 - - 14 = 360 + 14 = 374

Negative 8 times 9 times negative 5 minus negative 14 is 374

What is limit of startfraction startroot x 1 endroot minus 2 over x minus 3 endfraction as x approaches 3? 0 one-fourth 4 dne

Answers

I'm going to assume the limit is

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3}[/tex]

since problems like this usually involve indeterminate forms, and

√(x + 1) - 2 = x - 3 = 0

when x = 3.

To get around the discontinuity in the limand at x = 3, rationalize the numerator:

[tex]\dfrac{\sqrt{x+1} - 2}{x - 3} \times \dfrac{\sqrt{x + 1} + 2}{\sqrt{x + 1} + 2} = \dfrac{\left(\sqrt{x+1}\right)^2 - 2^2}{(x-3) \left(\sqrt{x+1}+2\right)} = \dfrac{x-3}{(x-3)\left(\sqrt{x+1}+2\right)}[/tex]

Now as x approaches 3, the factors of x - 3 cancel, the resulting limand is continuous at x = 3, and we have

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \boxed{\frac14}[/tex]

5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b

(a) 6ab^2 + -8a^2b + 3ab
(b) -7ab^2 + 8a^2b + 3ab
(c) 6a^2b^4 - 8a^4b^2 + 3ab
(d) 5a^2b^4 + -8a^4b^2 + 3ab

Answers

Answer:

(a) 6ab² - 8a²b + 3ab

Step-by-step explanation:

Given: 5ab² - 12a²b + 3ab + ab² + 4a²b

In this question, we will be combining like terms.

What are like terms?

Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².

Combine like terms:

5ab² - 12a²b + 3ab + ab² + 4a²b

(5ab² + ab²) + (-12a²b + 4a²b) + 3ab

6ab² - 8a²b + 3ab

Fwam surveyed 540 of the students in his school about their favorite color. students could choose between red and blue. 55% said their favorite color was blue. how many students' favorite color was red?

Answers

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

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