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? Which equation represents the situation?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the initial money deposited in the account be x:

If he added $54 to the amount he started with in his account, the expression will become:

x+54

If the sum is tripled, we will have:

3(x+54)

Since the balance an-mount is $381, the final equation will give:

3(x+54) = 381

The equation that represents the situation is 3(x+54) = 381

Next is to calculate x:

3(x+54) = 381

open the parenthesis

3x+162 = 381

3x = 381 - 162

3x = 219

x = 219/3

x = 73

Hence the original amount in his account is $73


Related Questions

Which word signals a sequence text structure?

both
finally
similarly
since

Answers

Answer:

its finally sorry it tooke so long

Step-by-step explanation:

Answer:

The answer is finally.

Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.

There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?

Answers

Answer:

285

Step-by-step explanation:

300-15=285

Answer:

285

Step-by-step explanation:

3 x 100 = 300

3 x 5 = 15

300 - 15 = 285

Hope This Helps!

Help me out please I'll give brain list

Answers

Answer:

b

Step-by-step explanation:

hope this helps

B because they are all attached to the bell which will allow it to make noise hope this helped

8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065​

Answers

Answer:D

Step-by-step explanation:

$120.65 is the new price of the coat.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A department store purchases a coat for $95

To sell the coat to customers, the price is increased by 27%

So, the new price of the coat = $95+ $95*27%

                                                 =$120.65

Hence, $120.65 is the new price of the coat.

To learn more on multiplication click:

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6(2x+4) plzzzzzzz I need help

Answers

Answer:

12x+24

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Simplifying

6(2x + 4) = 0

Reorder the terms:

6(4 + 2x) = 0

(4 * 6 + 2x * 6) = 0

(24 + 12x) = 0

Solving

24 + 12x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 12x = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 12x = 0 + -24

12x = 0 + -24

Combine like terms: 0 + -24 = -24

12x = -24

Divide each side by '12'.

x = -2

Simplifying

x = -2

THESE FRKN TEACHERS MAKE NO SENSE THEIR CLUELESS SOMEONE HELP AND JUST WRITE THE ANSWER ​ILL BRAINLLIST

Answers

Answer:

Whats F five is that a point or something???

Step-by-step explanation:

Answer:

OK here:

Step-by-step explanation:

I assume the teacher is saying that you have (d) dollar coins and (f) five cent coins where d and f are unknown numbers numbers. So:

I also assume when the teacher asks how many coins the person has, it is the number of coins total where both a dollar coin and five cent coin count as 1.

a) d + f

b) 3d + f - 7

c) d + f + 25

7+root 3 divided by 7-root 3

Answers

7 + root3 = 8.73
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659

The sum of two consecutive integers is 245 what is the smaller integer?

Answers

Answer:

122 is the smaller integer

Step-by-step explanation:

n = the smaller integer

n+1 is the larger integer

122+(122+1) = 245

The answer is 122 hope this helps

The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?

Answers

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

At 9 pm the temperature was -2°C.
By midnight the temperature had gone down by 7 °C.
(b) Write down the temperature at midnight.​

Answers

Answer:

-9°C.

Step-by-step explanation:

Simple -2°C - 7°C.

I WILL GIVE YOU BRAINLIEST IF YOU GIVE AN ACTUAL ANSWER
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.

Answers

Answer:

Step-by-step explanation:

You could make 8 different ways

24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answers

Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

slope is y2-y1/x2-x1

20-10/7-7

10/0

denominator can't be 0

Answer:

D

Step-by-step explanation:

cause i said so

NEED HELP PLEASE BEGGING PLEASE!!!!

Answers

Answer:

-54

Step-by-step explanation:

[tex]8(-9) - 6(-3)\\[/tex]

Multiply 8 by -9 and 6 by -3

[tex]-72 - (-18)[/tex]

Subtract[tex]Value = -54[/tex]

Hope this helps

plz mark brainliest

Which point on the coordinate plane is closest to ______ ?

Answers

Answer:

its point D hope this helps :)

The correct answer is D.

I hope this helps!!

Can y’all please help me with my question??

Answers

Answer:

p

Step-by-step explanation:

Can y’all please help me with my question??

pretty sure it’s x^10=x^p

what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second

Answers

Answer:

40k per hour is faster

mark me as branliest plz

completely factor: 4t + 2rt + 8st

Answers

2t(2+r+4s)

I hope this helps

Answer:

2t(2 + r + 4s)

can you guys help me

Answers

Answer:

Step-by-step explanation:

X<2

Plz help me I’ll give brainliest!!

Answers

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?

Answers

Answer:

En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.

Step-by-step explanation:

dividio los frijoles en 3 recipientes

volumen total de los 4 recipientes = 2x + 2x + x = 5x

esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)

4.5 kilos de frijoles / 5 x

x = 0.9 kilos de frijoles

recipiente grande = 2 · 0.9 = 1.8 kilos

Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Answers

Answer:

30

26

Step-by-step explanation:

How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer

Answers

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

and how long it takes for 40 gallons?

Answer:

1.6 gallons

4.8 gallons

25 mins

Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

it will take x mins to get 40 gallons

x = 1 * 40/1.6 = 25 mins

answer this question

will give brainliest

Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule

(who wants to talk and whatever)

Answers

I think compound I have no idea

Answer:

the correct answer i think is mixture

Step-by-step explanation:

all real numbers less than or equal to 9 and greater than or equal to 7 please hurry​

Answers

Answer:

[tex]7 \leq x \leq 9[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is [tex]x \leq 9[/tex].

For the second part, all real numbers greater than or equal to 7 in algebra is [tex]x \geq 7[/tex].

To combine both inequalities, it would become [tex]7 \leq x \leq 9[/tex].

Hope this helped! If not, please let me know! <3

The real numbers are 7, 8, and 9.

We are given two statements:

All real numbers are less than or equal to 9.All real numbers are greater than or equal to 7.

We have to use these two statements, form an inequality for the real number and find the real numbers.

What is inequality?

Inequality is a relation that makes a non-equal comparison between two mathematical expressions.

There are five types of inequality:

[tex]Less~~than~ = ~ < \\Greater~~than~=~ > \\Less~~than~~or~~equal~~to~=~\le\\Greater~~than~~or~~equal~~to~=~\ge[/tex]

Let the real number be x.

Now using the two given statements we have,

[tex]x\le9\\x\ge7[/tex]

If we combine these two equations we get,

[tex]7\le x \le 9[/tex]

Thus we can say that the real numbers are 7, 8, and 9.

Learn more about inequalities of real numbers here:

https://brainly.com/question/27997176

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why are you allowed to move the decimal points before dividing with decimals? Explain your reasoning

Answers

Answer:

Well the decimal points have to all be underneath eachother they can’t be all over the place or else you wouldn’t know where you need to put your decimal for your answer.

Step-by-step explanation:

Answer:

Sample Response: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient

If Courtney paid a total of $27.93 to download songs, which includes $2.06 for tax, how many songs did she download at a cost of $1.99 per song?

Answers

Answer:

13 songs.

Step-by-step explanation:

$27.93 - $2.06 = $25.87 in order to get the price of the songs before the tax.

Since each song cost $1.99, $25.87 divided by $1.99 is equal to 13

Answer:

13 songs

Step-by-step explanation:

The total cost of the songs is $27.93, including the tax. The tax cost should be removed from the total cost to find how many songs Courtney downloaded because she didn't pay $2.06 for the songs.

[tex]27.93 - 2.06 = 25.87[/tex]

The cost of all the songs is $25.87. Each one costs $1.99 so, to find how many songs she bought, the cost of each song should be divided from the total cost.

[tex]25.87 \div 1.99 = 13[/tex]

I need major help !!

Answers

Answer:

44 degrees

Step-by-step explanation:

The sides are even so there gonna be the same all around...please give brainlist!

it’s 68° because the angles all have to equal 180°. 180-44 = 136. 136 divided by 2 = 68°

which system of linear inequalities is represented by the graph​

Answers

Answer:

WOAH CALM DOWN JAMAL

Step-by-step explanation:

Answer:

y < x-2 and y > x+1

Step-by-step explanation:

Is 123456789098765432172 is divisible by 18?

Answers

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

FACTOR THE EXPRESSION 100 - 80 USING THE GCF

Answers

Answer: 45

Step-by-step explanation:

4567

Answer100-80= 2x2x2x4:

Step-by-step explanation:

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