Solve for x: -(2x-6)+10x=-5x-2(-7x-7)

Answer:

x = 11.2

Step-by-step explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

\(\frac{PQ}{VS}=\frac{QR}{ST}\) ---------(1)

Since, scale factor = \(\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}\)

\(\frac{2}{5}\) = \(\frac{PQ}{VS}\)

Therefore, from equation (1)

\(\frac{2}{5}=\frac{x}{28}\)

x = \(\frac{28\times 2}{5}\)

x = 11.2

Answer:

\(5(4x + 3) = 20x + 15\)

\(20x + 3\)

5(4x + 3) is not equal to 20x + 3. The 5 is distributed to the 4x and 3 resulting in 20x + 15 and not 20x + 3.

Answer:

\(x + y - x = 6 - y - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5\)

9514 1404 393

Answer:

  (b)  -3

Step-by-step explanation:

The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.

  y = -4(0) -3 . . . . substitute x=0

  y = 0 -3

  y = -3 . . . . the "initial value"

The equation y = - 2 · x⁷ is not an exponential function because the independent variable x is the base of the formula instead of being its exponent. (Correct choice: A)

In this problem we need to determine whether the equation y = - 2 · x⁷ represent an exponential function or not. Exponential functions are expressions of the form:

y = b · aˣ

Where:

By direct comparison we notice that the given equation is not an exponential function as the independent variable x is not the exponent of the expression and it is the base instead. The expression y = - 2 · x⁷ is a power function, not an exponential function.

To learn more on exponential functions: https://brainly.com/question/11487261

#SPJ1

Step-by-step explanation:

The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.

amount paid over x months:  

$6509 - $500 = $6,009

Equal payments of $250:

$6,009 / $250 = 24.036 months of payments

[Depending on if they want the answer rounded up, answer may become 25]

Answer:

hire purchase= $6509

deposit=$500

monthly payment=$250

no of monthly payment that must be made=hire purchase - deposit divided by monthly payment

$6509-$500/$250=$6009/$250= 24.036 month

Answer:

2.5/ft per sec

Step-by-step explanation:

its vertica.

The height of the ladder is decreasing at a rate of 24 ft/sec.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Let's denote the distance between the base of the ladder and the wall by x.

The length of the ladder = L.

Now,

L = 10 ft

dx/dt = 4 ft/sec

x = 6 ft.

The rate of change of the height of the ladder with respect to time.

Using the Pythagorean theorem, we have:

L² = x² + y²

Differentiating both sides with respect to time t, we get:

2L (dL/dt) = 2x(dx/dt) + 2y(dy/dt)

Substituting L = 10 ft, x = 6 ft, and dx/dt = 4 ft/sec.

20(dL/dt) = 12(4) + 2y(dy/dt)

Simplifying and solving for dy/dt.

dy/dt = (20/2y)(dL/dt) - 24

Now,

The height of the ladder.

Using the Pythagorean theorem again, we have:

y² = L² - x²

   = 100 - 36

   = 64

y = 8

Now,

Substituting y = 8 ft, dL/dt = 0

(since the length of the ladder is constant), and dx/dt = 4 ft/sec.

dy/dt

= (20/2(8))(0) - 24

= -24 ft/sec

Therefore,

The height of the ladder is decreasing at a rate of 24 ft/sec.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

Step-by-step explanation:

it is totally simple : you need to put the x-value into every place of the x-variable, and then we calculate.

and then the same for the next x-value. and the next. ...

-2

-2×-2 + 9 = 4 + 9 = 13

0

-2×0 + 9 = 0 + 9 = 9

2

-2×2 + 9 = -4 + 9 = 5

4

-2×4 + 9 = -8 + 9 = 1

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Learn more about parallel lines:https://brainly.com/question/16701300

#SPJ1

Bases of the condition the system of equations has no solution.

Given,

In the question:

The system of equations are as follows:

x – 2y – 5 = 0

-2x + 4y = 6

Show that each one of the following system of equations is inconsistent:

Now, According to the question:

The Equations given as:

x – 2y – 5 = 0

-2x + 4y = 6

Rearrange the equations;

x – 2y = 5

-2x + 4y = 6

Rearrange like terms to the same side of the equation

x = 5 + 2y

-2x + 4y = 6

Substitute into one of the equations:

-2(5 + 2y) + 4y = 6

Apply the Distributive Property:
-10 - 4y + 4y = 6

-10 = 6

Hence, Bases of the condition the system of equations has no solution.

Learn more about Equations at:

https://brainly.com/question/14686792

#SPJ1

Answer:

(p baseball) = 1/2

(p basketball) = 1/6

Step-by-step explanation:

Add the number of toys together to find how many there are total.

2 + 3 + 1 = 6

Find the probability of selecting a baseball.

(p baseball) = 3/6

reduce by dividing by 3

(p baseball) = 1/2

Since the toy is returned, the total number doesn't change.

(p basketball) = 1/6

It needs to do that route I guess. But I don't understand the last question well.

Answer:

0.73,0.71 this is the answer

Answer:

x = 3.4

Step-by-step explanation:

First start by subtracting 4.2 from both sides and getting .5x = 1.7. Now divide by .5 on both sides. Dividing by .5 is really the same as multiplying by 2, so you get x = 3.4.

Answer:

3.4

Step-by-step explanation:

I did this and got it right

Answer:

x − 43 = 90

Step-by-step explanation:

2x + 43 = 180

2x − 43 = 90

x + 43 = 180

x − 43 = 90

Using the pattern, the next 4 numbers in the sequence would be

3.2; 4.0; 4.8; 5.6

The given sequence seems to follow a pattern where each term is obtained by adding 0.8 to the previous term.

hence this is an AP sequence, with a common difference of 0.8, adding 0.8 to each term gives the next consecutive term

2.4 + 0.8 = 3.2

3.2 + 0.8 = 4.0

4.0 + 0.8 = 4.8

4.8 + 0.8 = 5.6

Learn more about sequence at

https://brainly.com/question/6561461

#SPJ1

5/4 x 3/5=3/4 lb

hope this helps

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

Answer:

where is the graph

Step-by-step explanation:

maybe I could do this

Answer:

A) Work conditions were harsher in the Caribbean, and plantations were much larger than those in North America.

Step-by-step explanation:

the pf text book states: " Slaves in the Caribbean had the worst working conditions. They were required to work on sugar plantations from sunrise to sundown. The conditions were so severe that the average lifespan of a slave in the Caribbean was only 23 years old. Slaves in North America fared a bit better, though working conditions were still harsh."

Answer:

what the expression, lmk in comments and then i will help you :)

Step-by-step explanation:

Answer:

x + 5 - 3 + 8 = 12

Step-by-step explanation:

x = 2 books

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

Notes before we start:

Semi-monthly means you get paid twice a week. We will find out the net pay in 2 weeks to see how much pays better.

Explanation:

Job A pays $15 an hour and whoever is working works 40 hours a week. We can multiply to find how much he/she earns in 2 weeks.

15 * 40 * 2 = $1,200

Job B pays $1,375 semi monthly which means that he/she got paid that much money in 2 weeks.

Answer:

Job B pays better.

Best of Luck!