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

Help!! For algebra 2

Answers

It looks like because on the second one the equation equals 0 that the variable “x” is going to have a different value.

Answer:

the first is an expression with a variable x, it describes a parabola,  while the second is an equation involving a variable x and x can only have specific values that satisfy the equation.

Step-by-step explanation:

Frank also has an eraser. It has a mass of 3g, and a volume of 1cm3. What is its density?

Answers

0.003 kilograms/ cubic meter

Which of the following is the solution to 17 - 2x=-11?
1.)14
2.)-14
3.)-3
4.)3​

Answers

The answer is 14 or number 1

All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?

Answers

Answer:

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Step-by-step explanation:

To calculate the price of one comic, we can divide the price of the comics by the amount bought:

= $7.50 ÷ 3

= $2.50

Therefore, one comic is $2.50

To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:

= 5 x $2.50

= $12.50

= 8 x $2.50

= $20.00

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Which equation represents a line which is perpendicular to the line through y= 3/4 X -6

Answers

Answer:

Step-by-step explanation:

A perpendicular line has a negative reciprocal of the line it is perpendicular to.

y = [tex]\frac{3}{4}[/tex][tex]x[/tex] - 6

Since the slope of that line is [tex]\frac{3}{4}[/tex], the line perpendicular to that will have the slope of [tex]-\frac{4}{3}[/tex].

Now let's plug the slope into the slope-intercept equation.

y = mx + b

y = [tex]-\frac{4}{3}[/tex][tex]x[/tex] + b

Next, we need to find the y-intercept (b), to get to the equation.

TO FULLY SOLVE THIS, I WOULD NEED TO KNOW ONE POINT OF THE PERPENDICULAR LINE!

Please let me know if there is another point that way I can help you! <3

Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.

Answers

Answer:

Put 6 yellow unit tiles on the right side of the equal sign.

Step-by-step explanation:

Given the equation that Juanita wants to model expressed by the equation

3 x + 2 = -x + 6

If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6

We can as well calculate the value of x from the expression as shown;

3 x + 2 = -x + 6

collect like terms

3x+x = 6-2

4x = 4

Divide both sides by 4

4x/4 = 4/4

x = 1

Answer:

the answer is D put 6 yellow unit tiles

Step-by-step explanation:

i took the test review and test

What is X? −2(x−6)= x+5

Answers

Answer:

x=-1

Step-by-step explanation:

-2(x-6)=x+5

-2x-(-12)=x+5

-2x+12=x+15

-2x -----^

x+2x=3x

+15 turns into minus 15

12-15= -3

-3=3x

-1=x

Answer: 7/3 or 2.333333333

Step-by-step explanation:

Distribute -2 to x and -6

-2x + 12 = x + 5

Subtract x from both sides

-3x + 12 = 5

Subtract 12 from both sides

-3x = -7

Divide -3 from both sides

X= 7/3 or 2.333333333

Base area of a room is 34m^2 and height of the room is 10m. Find the volume

Answers

Answer:

340 m³

Step-by-step explanation:

Hi there !

V = Ab×h

= 34m²×10m

= 340 m³

Good luck !

The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

Given the following data:

Base area of room = 34 [tex]m^2[/tex]Height of room = 10 meters

To find the volume of the room:

Mathematically, the volume of a room is given by the formula:

[tex]V = Bh[/tex]

Where:

V is the volume of an object.B is the area of an object.h is the height of an object.

Substituting the given parameters into the formula, we have;

[tex]V = 34 \times 10[/tex]

Volume = 340 cubic meter.

Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

Read more: https://brainly.com/question/22497109

3. Tom, Sam and Matt are counting drum beats.
Tom hits a snare drum every 4 beats.
Sam hits a kettle drum every 10 beats.
Matt hits a bass drum every 12 beats.
Tom, Sam and Matt start by hitting their drums at the same time.
How many times are each of their beats heard before Tom, Sam and Matt next hit
their drums at the same time?

Answers

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all

Answers

Answer:

gbklkijgggddfhokjvhjk

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

i need help ASAPPPP A spinner has 3 equal sections, one that is red, one yellow, and one blue. The spinner is spun 20 times and the results are recorded in the table.
Color Frequency
Red 7
Yellow 9
Blue 4
Based on these results, what is the experimental probability that the next time the spinner is spun it lands on yellow?
a.0.35
b.0.45
c.0.920
d.0.2

Answers

Answer:

B

Step-by-step explanation:

Hope this helps  :)

If so mark brainliest

Terri's recipe for pies calls for 1 1/3 cups of flour. If she has 10 cups of flour, how many pies can she make?

Answers

Answer:

She can make 7 pies

10 divided by 1 1/3 is 7.5

Step-by-step explanation:

Answer:

She can make 7 pies

Step-by-step explanation:

1 1/3=1.333

1.333×7=9.331

and

1.333×8=10.664

Meaning she wouldn't have enough for 8 pies

Therefore the answer is 7

i need help with the first question asap. please explain how you did the problem and why or why not they are porportional

Answers

Answer:

No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)

Step-by-step explanation:

The equation of the proportional quantity is y = k x, where k is the constant of proportionalityThis equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zero

To solve the question graphically, we will use the ordered pairs on the table

→  x  →  y  ⇒  ordered pair

→  1  →  3  ⇒  (1, 3)

→  7  →  1  ⇒  (7, 1)

→  4  →  2 ⇒  (4, 2)

Plot the points

→ Look at the attached graph down

x-axis represents the number of hoursy-axis represents the number of people

∵ The line does not cut the y-axis at the origin point (0, 0)

→ That means the equation of the line can not be in the form y = k x

∴ The line does not represent a proportional equation

∴ The number of people and the number of hours are not proportion

help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.

36÷−4=

Answers

Answer:

the answer is 9 so yeah.....

Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ

Answers

In scientific notation, the first part is always between 1 and 9, otherwise the exponent would change. So, for example, 10.1*10.^5 would not be correct, but could be written as 1.01*10^6. Likewise, .101*10^8 would not be correct, but it could be written as 1.01*10^7. So for this question, choice a is correct.

2b^3+5=2(3)^3+5 when b=3

Answers

Answer:

59

Step-by-step explanation:

I got it right on I-Ready

The required simplified value of the given expression is 21.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here, given expression,
= 2b³+5

Now put b = 3
= 2(2)³ + 5
= 2(8) + 5    [since 2³ = 8]

= 16 + 5
= 21

Thus, the required simplified value of the given expression is 21.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function.
f(x)= -(x - 9)2 - 23

Answers

Answer:

thank u

Step-by-step explanation:

What’s the surface area to these 2 pls help me

Answers

Answer:

the answer is 40

Step-by-step explanation:

its simple try and do the link that I put you'll understand how to do this better

5x-8= 1/3 (6x+12)-3x

a) -1
b) -12/5
c)10/3
d) 2

Answers

Answer:

c

you have to do whatever is in the pertussis

why is eid more inportant than ramadan???

brainlest for 1

Answers

Answer:

eid is more important then Eid

Step-by-step explanation:

Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.

Answer:

because we get to spend eid with family and friends.

Step-by-step explanation:

but they're equally important, in my opinion

What is the value of f(x) = 3x -12 for anx = 9

Answers

Answer:

15

Step-by-step explanation:

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

WILL RATE BRANLIEST Transversal t intersects lines a and b to form 8 angles. The angles formed with line a, clockwise from top left, are 1, 2, 3, 4. The angles formed with line b, clockwise from top left, are 5, 6, 8, 7.

For the diagram shown, which angles are corresponding angles

∠3 and ∠7

∠8 and ∠6

∠4 and ∠7

∠3 and ∠5

Answers

From the diagram, ∠3 and ∠7 can be seen to be corresponding angles.

The term corresponding angles

The term corresponding angles are those angles that are formed on the same sides when we have two lines that have been cut by a transversal.

Having known what is meant by corresponding angles, we can now look at the image to identify which angles are  corresponding angles. Clearly, ∠3 and ∠7 can be seen to be corresponding angles.

Learn more about corresponding angles:https://brainly.com/question/1597341

#SPJ2

Answer:

A,B,D, and F!

Step-by-step explanation:

here are the right ones

Angle1 and Angle3

Angle2 and Angle4

Angle5 and Angle7

Angle8 and Angle6

what is the equation of the horizontal line through (-7,-3)?

Answers

Answer:

9

Step-by-step explanation:

I need Help! I have 2 questions.

Answers

Answer:

[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer

[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer

Step-by-step explanation:

To solve any equation for one of its variable do that:

Separate the variable on one side and the other terms on the other sideMake the coefficient of the variable = 1

[tex]\frac{2m+b}{g}=k[/tex]

→ Multiply both sides by g to take g to the right side

∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]

∴ 2m + b = kg

→ Divide both sides by k, to move k to the left side

∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]

∴ [tex]\frac{2m+b}{k}=g[/tex]

→ Switch the two sides

∴ [tex]g=\frac{2m+b}{k}[/tex]

ax + bx = c

→ Take x as a common factor from the both terms on the left side

x(a + b) = c

→ Divide both sides by (a + b) to move it to the right sides

∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]

∴ [tex]x=\frac{c}{(a+b)}[/tex]

Which of the x values are solutions to the inequality 4≥2-4x

Answers

Answer:

x = -1/2

Step-by-step explanation:

Given:

Inequality 4 ≥ 2 - 4x

Find:

Value of x

Computation:

4 ≥ 2 - 4x

4x ≥ -2

x ≥ -1/2

x = -1/2


Pls help please!!!

Answers

i am gonna have to go with B

How many degrees is are

Answers

Answer:

AMH = 32

Step-by-step explanation:

The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal

x+86 = 24+2x

Subtract x from each side

x+86 -x =24+ 2x+2x-x

86 = 24 +x

Subtract 24 from each side

86-24 = 24+x-24

62 =x

x+86 = 62+86 =148

AMH is supplementary since it forms a straight line

AMH + x+86 = 180

AMH + 148 = 180

AMH = 180-148

AMH = 32

|5x+9|=4x solve for all values of x

Answers

I think The answer is X=0.

What is the next fraction in this sequence? Simplify your answer.

2
3
,
3
5
,
8
15
,
7
15
, ...

Answers

Answer:

21

Step-by-step explanation:

                                           

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