3[x + 3(4x – 5)] = 15x – 24

Answer:

Step-by-step explanation:

[tex]3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\[/tex]

Collect like terms

[tex]3x -x =-1-3[/tex]

Add similar elements

[tex]2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2[/tex]

Answer:

total commission= $2,600

Step-by-step explanation:

Giving the following information:

He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.

First, we need to structure the total commission formula:

total commission= 0.10*x + 0.15*y

X= sales up to $5,000

Y= sales from $5,001 to infinity

Now, sales for $19,000 sales:

total commission= 0.1*5,000 + 0.15*14,000

total commission= $2,600

2: 23

3: 3

4: 2^3 * 7

Glad i could help :)

Answer:

25 is the correct answer

Answer:

-3x+190

Step-by-step explanation:

180-(3x-10)

180-3x+10

-3x+190

Answer:

[tex]180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x[/tex]

hope I am correct

thanks!

Answer:

21

Step-by-step explanation:

3n - 15 - 6 + 2n = 4n

3 n + 2n = 4n + 15 + 6

5 n - 4n = 15 + 6

n = 21

Answer:

 n = 21

Step-by-step explanation:

Use distributive rule: a(b + c) = a*b + a*c

3(n -5) - (6 - 2n) = 4n

3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n

3n  - 15 - 6 + 2n = 4n             {add like term in LHS}

3n + 2n - 15 - 6 = 4n

            5n - 21  = 4n              {add 21 to both sides}

       5n -21 + 21 = 4n +21

                     5n = 4n + 21         {subtract 4n from both sides}

             5n - 4n = 4n -4n +21

   n = 21

Answer:

Two angles that have the same measure are called CONGRUENT ANGLES...

Plz mark ice bear Brainliest

Two angles that have the same measure are called congruent angles

Two angles having the same degree of measurement are said to be congruent.

A protractor can be used to compare the angle measures of congruent angles, or angle relationships and properties can be used to find congruent angles in a variety of geometric shapes. Because they enable us to recognize and address issues concerning parallel lines, triangles, polygons, and other geometrical shapes, congruent angles are crucial in the study of geometry.

In order to work with angles and their properties in mathematics, one must first understand congruent angles.

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Answer:

1.) 14.09 m/s

2.) 6.9 m/s

Step-by-step explanation:

Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.

The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem

V^2 = 12.8^2 + 5.9^2

V^2 = 198.65

Square root both sides

V = 14.09 m/s

2.) If the boat turns to face directly West.

Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be

12.8 - 5.9 = 6.9 m/s

Therefore, the boat is moving relative to land at 6.9m/s

answer: 0.3

good luck!

Answer:

0.3 or 3/10

Step-by-step explanation:

First, we'll solve A.

2 x2 = 4

3 x2 = 9

3x2=6, not 9.

So it is not A.

5 x2 = 10

7 x2 = 11

7x2=14, not 11.

So B. is out too.

It isn't D. because 12/9 is improper and 3/4 isn't.

So C. is left.

4 x2 = 8

6 x2 = 12

hope it helps!

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

Explanation:

Let's go through the answer choices

-----------

Choice A.

Assume that the given equation here is correct. If so, then we can cross multiply to get

2/3 = 4/9

2*9 = 3*4

18 = 12

The last equation is false, so the first equation is also false. Choice A is not the answer.

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

Choice B.

We could do the similar trick as with choice A, but I'll use another method.

Use your calculator to find that

5/7 = 0.714 approx

10/11 = 0.909 approx

We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.

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

Choice C.

I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then

(4/6)*(2/2) = (4*2)/(6*2) = 8/12

meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication

4/6 = 8/12

4*12 = 6*8

48 = 48

or we could use our calculator to find that

4/6 = 0.667 approx

8/12 = 0.667 approx

Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.

Choice C is the answer

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

Choice D.

Since we found the answer, we technically don't need to check choice D. But let's do so anyway.

Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.

Answer:

A. (9,-5)

Step-by-step explanation:

Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).

Answer:

x=10

Step-by-step explanation:

4x=40

x= 40/4

x=10

Answer

seventytwo

Step-by-step explanation:

there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig  im wrong)

Answer:

56

Step-by-step explanation:

Answer:

The temperature change was -2 degrees per hour.

Step-by-step explanation:

1st hour (8pm) it dropped down to 4 degrees.

2nd hour (9pm) it dropped down to 2 degrees.

3rd hour (10pm) it dropped down to 0 degrees.

4th hour (11pm) it dropped down to -2 degrees.

5th hour (12am/midnight) it dropped down to -4 degrees

Answer:

A and E

Step-by-step explanation:

Other 2 wouldn't make sense

Only definite of A

Addition Property of Equality  ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed

The properties that can be used to solve 7y - 15 = -29 are

Addition property of equality and inverse property of multiplication.

Given equation is 7y - 15 = -29.

We will solve for y and see which of the given following properties are applied.

Addition property of equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Inverse property of multiplication

It states that every non-zero x multiplied with 1/x will equal 1.

Solve for y.

7y - 15 = -29

We will add 17 on both sides of the equation.

7y - 15 + 15 = -29 + 15

7y = -14

Now, multiply 1/7 into both sides of the equation.

7y / 7 = -14 / 7

y = -2

While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.

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Answer:

3MN to N =3000000

Step-by-step explanation:

Answer:

PA = XA

Step-by-step explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.

Answer:

D' (6, - 4 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is

D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )

Answer:

A) 2210.56 cubic units

Answer:

4.325 meters per second squared.

Step-by-step explanation:

Answer:  10/7

Step-by-step explanation:

The square root of 100 is 10 and the square root of 49 is 7 so the answer will be  10/7

The required solution is [tex]1\frac{3}{7}[/tex] .

It is required to simplify the expression.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined

Given:

The square root of 100 is 10 and the square root of 49 is 7.

According to given question we have,

[tex]\sqrt \frac{100}{49} \\\\=10/7\\\\=1\frac{3}{7}[/tex]

Therefore, the required solution is [tex]1\frac{3}{7}[/tex] .

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Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.

If we let one angle = x, then the other angle is (2/3)x - 15

Now we can form the following equation:

x + (2/3)x - 15 = 180

(5/3)x = 195

5x = 585

x = 117

Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.

Answer:

C. 10n

Step-by-step explanation:

The figure has 2 sides with length 4n and 2 sides with length n.

perimeter = 4n + 4n + n + n

perimeter = 10n

The perimeter of the figure is 10n. which is the correct answer would be option (C).

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that the figure has 2 sides with length 4n and 2 sides with length n.

The perimeter of the figure = 4n + 4n + n + n

Apply the addition operation in the above equation, we get

The perimeter of the figure = 10n

Therefore, the correct answer would be an option (C).

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Answer:

r = 155°

s = 25°

t = 155°

Step-by-step explanation:

25° is supplementary to <r. Therefore:

m<r + 25° = 180°

m<r = 180 - 25

m<r = 155°

25° and <s are vertical opposite angles. Vertical angles are congruent. Therefore, m<s = 25°

<r and <t are vertical opposite angles, therefore, they are congruent.

m<t = m<r = 155°