Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?

Part A: Which equation represents the situation?

A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account

Part B: Complete the statement to represent the solution of the equation in context.


Marcellus originally had $___________ in his account.

Answer:

Sub the values in the brackets of each question into the equation

Step-by-step explanation:

eg. c. f(0) = 2(0)^2 + 1 = 1

Answer: disagree

Step-by-step explanation:

Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.

Answer:

Disagreed

Step-by-step explanation:

In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...

[tex]CA=4.125[/tex]

[tex]CB=4.03[/tex]

[tex]CC = 4.23[/tex]

Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0

Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.

[tex]4.125 > 4.03[/tex]

[tex]4.125 < 4.23[/tex]

Hope this helps.

Answer:

250 feet

Step-by-step explanation:

Answer:

1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

2)slope is the change in height, the vertical change, divided by the change in horizontal distance

3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

4)slope = 1/18 = (1/2)/9  

5)the door is 2 feet higher than the ground level,  1.5 + .5 = 2 feet change vertically

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

Answer:( 1, -2)

Step-by-step explanation: y= (-3)(1)+ 1

y=-3+1

y= -2

Answer:

52 miles per hour

Step-by-step explanation:

Given:

Distance driven = 364 miles

Total time taken = 7 hours

Required:

Average speed of Chad

SOLUTION:

Average speed is the number of miles covered per hour.

Thus:

Average speed = distance covered / time taken to cover the distance

Average speed = [tex] \frac{364}{7} = 52 mph [/tex].

Chad's average speed is 52 miles per hour.

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

Answer:

+265

Step-by-step explanation:

a sum of money placed or kept in a bank account, usually to gain interest.

So basically your saving money instead of losing by, keeping it in the bank safely.

Answer:

2x – 2 < -4 or 2x – 2 > 20 equals

Step-by-step explanation:

x < − 1 or x > 11

I hope this helps ya

Answer:

B. Perpendicular Lines

Step-by-step explanation:

Perpendicular Lines are lines that cross over each other and make a right angle (90°).

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population

Answer:

transformations of function 3(-7(x+2))-4

Answer:

B

Step-by-step explanation:

I am learning this now and I used the equation I'm learning and I got 294.

Answer:

d

Step-by-step explanation:

Answer: -49,152

Step-by-step explanation

r =4  -192/-48, -48/12

8th term= -3*4^7                 =-3*16384                 =-49,152

The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.

Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

Thus, the nth term of such sequence would be  [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

The first four terms of the sequence below.

-3, -12,-48,-192, ...

We need to find the 8th term of this sequence

r = 4 = -192/-48, -48/12

8th term = -3 x 4^7                

        = -3 x 16384                

        = -49,152

Learn more about geometric sequence here:

https://brainly.com/question/2735005

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Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Answer:

6%

Step-by-step explanation:

I hope this helps!

Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u  use this method 6/90 multiply by 100 and u get 7.77%

Answer:

70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

Answer:no

Step-by-step explanation:

Answer:

17 [tex]\frac{1}{4}[/tex]

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-(-2) is equal to +2, so the equation is 3+2 which is 5

Answer:

yes i do

Step-by-step explanation:

A survey that asks readers to return the survey would result in voluntary-response bias

When the response to a survey by a reader is not influenced by the author or the questioner of the survey the response sent by the reader is going to be a voluntary response.

In a voluntary response, the response is void of external influence therefore the reader gives his/her honest opinion without the external/Questioner's bias

Allowing your sample to self-select skews your data and prevents you from getting accurate results that are representative of your entire population, which is what is meant by voluntary response bias.

Hence we can conclude that a survey that asks readers to return the survey would result in voluntary response bias.

learn more about voluntary response bias:

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Answer:

p=2 (l+w)

Step-by-step explanation:

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

Answer:

what grade are u in just need to know so I can help bc I dont understand the question

Answer:

12

Step-by-step explanation:

Assuming that KI is 15 units longs, we can set up an equation by  using the equations given.

2x-15+2x-6=15    /simplify

4x-21=15              /+21

4x=36                  /÷ 4

x=9

Now that we know that x is 9 units, we plug it into the given equation of the line.

2*9-6=12

Thus, JI is 12 units long.

I hope this helps!