What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given

Answer:

7.5

Step-by-step explanation:

If 'quter' is quarter, then 30(1/4) is 7.5

A quarter of 30 is 7.5

All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

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Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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Step-by-step explanation:

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

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n-4+4n+6

= 3n-4+6

= 3n+2

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

Answer:

=-240..................

Answer:

x = - 1

Step-by-step explanation:

f(x) = 2x - 10 and f(x) = - 12, then equating gives

2x - 10 = - 12 ( add 10 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.

Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ

Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

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45°

B

the sum of the angles of triangles is 180°

60°+75°+x=180°

135°+x=180°

135°-135°+x=180°-135°

x°=45

B

make me brainiest

To solve this question, we have to know some rules

-All tringles' angles must add up to 180 digress

-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)

Now the steps are easy.

Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is

(Angle number one) + (Angles number two) - 180

If we apply it to the triangle here, it would be

180-(60+75)

Let's solve it slowly

P.E.M.D.A.S

60+75 is 135

180-135=45

Therefore, the answer is 45 or B

I hope this helped if it's wrong pls blame me

ps.Brianlist would really help

Answer:

lp

Step-by-step explanation:

y

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

Answer:

28.9 m

Step-by-step explanation:

First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.

We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that

cos(x) = adjacent / hypotenuse

cos(78°) = 6 / hypotenuse

divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse

hypotenuse = 6/cos(78°) ≈ 28.9 m

Answer:

Spider travel in [tex]5ft[/tex] in 3 minutes

Step-by-step explanation:

A spider traveled 20 feet in 12 minutes.

Speed of spider is

[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]

Now we need to find how far could it travel in 3 minutes

Distance

[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]

Answer:

x = 9

Step-by-step explanation:

The alternate interior angles theorem tells us that these two quantities must be the same.

Therefore,

x + 18 = 4x - 9

x + 18 + 9 = 4x

x + 27 = 4x

27 = 4x - x

27 = 3x

x = 9

---

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it's polynomial ✨✨✨✨✨✨✨

Answer: polynomial

Step-by-step explanation: I'm not that great at math tell me if this is correct.

Answer

64.8

Step-by-step explanation:

brainliest pls

Answer:

64.8 cm.

Step-by-step explanation:

Add up the sides:

Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)

= 17.4 + 11 + 11 + 21.6 + 3.8

= 64.8 cm.

C 3/4÷12

You Welcome :)

Answer: C

Step-by-step explanation:

f(-2)= -2^2-3= -7

f(4)= 4^2-3= 13

f(0)=0^2-3= -3

Answer:

x< 0

Step-by-step explanation:

[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality

[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given

[] Our final answer, assuming we can use x for this graph, is x < 0

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

not proportional

Step-by-step explanation:

because if you multiply 480×40=19200 and 300×25=7500

it is not the same

The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.

The earnings of Sal in each hour will be given as,

⇒ $480 / 40

⇒ $12 each hour

The earnings of Lidia in each hour will be given as,

⇒ $300/ 25

⇒ $12 each hour

The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.

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Answer:

y = 6

x = 4

How to find 'x':

4x - y = 10

y = 2x - 2

First, you need to substitute the 'y' into the first equation.

4x - 2x - 2 = 10

Next, add the x's together. As it's a negative 2x then take away 2 from 4.

2x - 2 = 10

3. Now that it's a normal equation, you can add 2 to cancel out the -2

2x = 8

4. Then divide the 8 by 2 and you will get the answer to x which is 4

x = 4

How to find 'y':

1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:

y = 2x - 2

y = 2(4) - 2

y = 8 - 2

8 - 2 = 6

y = 6

Conclusion:

So the answer would be:

y = 6

x = 4

You can see if it's correct by putting y into 4x - y = 10.:

4x - 2 = 10

4(4) - 6 = 10

16 - 6 = 10

So that means that y and x are the correct answer.

Answer:

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

Answer:

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

Answer:

13/20

Step-by-step explanation:

The value of 3(3/4) x 2/5 as a fraction is 3/2.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

3(3/4) x 2/5

= 15/4 x 2/5

= 3/2

Thus,

The value is 3/2.

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Answer:

D and E are true

Step-by-step explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6[tex]x^{4}[/tex]

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6[tex]x^{4}[/tex]

The leading coefficient is 6 → E