You have $200 on a savings account and$100 in a checking account each week you add $50 to your savings account and $30 to your checking account Write an expression in simplest form that represents the total amount of money in both accounts after w weeks

Answers

Answer 1

Answer:

The expression is (80w+300)

Step-by-step explanation:

Let

y ----> the total amount of money in both accounts

s ----> the  amount of money in saving account

c ----> the amount of money in checking account

w ----> the number of weeks

we know that

saving account

s=50w+200 -----> equation A

checking account

c=30w+100 ----> equation B

To find out the total amount of money in both accounts, sum equation A and equation B

y=s+c

substitute

y=(50w+200)+(30w+100)

y=(50w+30w)+(200+100)

y=80w+300

therefore

The expression is (80w+300)


Related Questions

Maya has 3 times as many dimes as nickels. She has 4 more quarters than nickels. if she has a total of $9.40, how many of each type of coin does she have?

Answers

Answer:  nickels = 14, dimes = 42, quarters = 18

Step-by-step explanation:

Let n represent nickels which has a value of $0.05

Let d represent dimes which has a value of $0.10

Let q represent quarters which has a value of $0.25

It is given that:

                       n = n

                      d = 3n

                      q = n + 4

and their total value is $9.40    ⇒     n + d + q = $9.40

Use substitution to find the quantity of nickels:

.05(n) + .10(3n) + .25(n + 4) = 9.40

 5n    +  10(3n) +   25(n+4)   = 940           multiplied by 100

 5n    +   30n   +  25n + 100 = 940          distributed

                            60n + 100 = 940          added like terms

                            60n           = 840          subtracted 100

                                 n           = 14            divided by 60

n = 14

                d = 3n

                   = 3(14)

                   = 42

                                       q = n + 4

                                          = (14) + 4

                                           = 18

Help me please I don’t understand

Answers

Answer:

She stopped to rest for 45 minutes.

Step-by-step explanation:

It's where the line is straight. What's the second question?

Answer:

0.75 (45 mins) for both

Step-by-step explanation:

It's because the rest is the time where no activity is happening (the straight line). That line when measured from its start to end is mins 45 to mins 90, and when subtracted, gives 45 mins. For the initial ride it is from where the line moves upward until it stops. That goes from mins 0 to mins 45 ad when subtracted gives 45 mins.

2. To get to the semi finals, a dancer has to score at least an average of 8 points. There are 4 judges in the
competition. The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points. What is the lowest
score 4th judge can give this dancer in order for her to move to the semi finals? Show all your work and justify
all your steps. You will not receive credit unless you justify the step. Please be sure to answer the question.

Answers

Answer:

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.

Step-by-step explanation:

Let x points be the score that 4th judge gave to the dancer.

The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points.

In total, the dancer got

[tex]8.9+7.1+8.3+x=24.3+x[/tex] points

The average score is

[tex]\dfrac{24.3+x}{4}[/tex]

This average score must be at least of 8 points, so

[tex]\dfrac{24.3+x}{4}\ge 8\\ \\24.3+x\ge 32\\ \\x\ge 32-24.3\\ \\x\ge 7.7[/tex]

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.

What is the function equation for the input/output table?

x y

8 4

12 8

14 10

17 13

These are the choices


y = x/2

y = x + 4

y = x - 4

y = 2x

Answers

Answer:

y = x - 4

Step-by-step explanation:

If you look at it, you can see that 8 - 4 is 4

12 - 4 = 8

14 - 4 = 10 and

17 - 4 = 13

The solution is, y = x - 4 , is the function equation for the input/output table.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

x    y

8    4

12   8

14   10

17    13

In order to solve, we replace the values of x in the functions in at least two points, we then compare if the answers correspond with the y-components. From this, we will have that the function that models the table is:

y = x - 4

The table looks like this:

x = 8 => y = 8-4 = 4

x = 12 => y = 12 - 4 = 8

x = 14 => y = 14 - 4 = 10

x = 17 => y = 17 - 4 = 13

Hence, The solution is, y = x - 4 , is the function equation for the input/output table.

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Is 257 divisibil by 6

Answers

Step-by-step explanation:

6 is divisible by 2 and 3 (6 = 2 · 3).

257 is not divisible by 2 and 3 (257 is a prime number).

Therefore 257 is't divisible by 6.

Final answer:

257 is not divisible by 6 because it is not even.

A number must be even and the sum of its digits divisible by 3 to be divisible by 6.

Explanation:

To determine if 257 is divisible by 6, we need to check if it satisfies the criteria for divisibility by 6.

A number is divisible by 6 if it is divisible by both 2 and 3.

For divisibility by 2, the number must be even, which means it should end in 0, 2, 4, 6, or 8. For divisibility by 3, the sum of the digits of the number must be divisible by 3.

Examining 257, we see that it ends with a 7, which is not an even number.

So it does not meet the criterion for divisibility by 2.

Therefore, 257 is not divisible by 6.

What is the equation of the line passing through the points (–2, 2) and (3, –1)

Answers

Answer:

3x + 5y = 4 or y = -⅗x + ⅘

Step-by-step explanation:

First, find the Rate of change [Slope]:

-y₁ + y₂\-x₁ + x₂ = m

-2 - 1\2 + 3 = -

Apply the Point-Slope Formula, y - y₁ = m(x - x₁), since we are given points. It does not matter which one you choose. NOTE: All negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs:

y + 1 = -⅗(x - 3)

y + 1 = -⅗x + 1⅘

- 1 - 1

_________________

y = -⅗x + ⅘ >> Line in Slope-Intercept Form

If you want it in Standard Form:

y = -⅗x + ⅘

+x +⅗x

____________

⅗x + y = ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅗(x + 2)

y - 2 = -⅗x - 1⅕

+ 2 + 2

________________

y = -⅗x + ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

I am joyous to assist you anytime.

** You see? I told you it did not matter which ordered pair you choose because you get the EXACT SAME RESULT. :]

How to solve

10x=4x+66

Answers

Answer:

x = 11

Step-by-step explanation:

10x = 4x + 66

10x - 4x = 66

 6x = 66

 x = 66/6

 x= 11

Answer:

x=11

Step-by-step explanation:

10(11)=4(11)+66

110=44+66

110=110

CAN EXPLAIN FURTHER

WOULD GREATLY APPRECIATE BRAINLIEST ANSWER

what is 2^√(3) answer fast an step by step ,please?​

Answers

Answer:

2 √2

Step-by-step explanation:

2^√(3) =  {(2)³}¹/²

           = (8)¹/² = √8

           =  √2 * 2 *2 = 2 √2

Is 73 rational or irrational

Answers

Answer:

it's rational

Answer:

rational.

Step-by-step explanation:

If it can be written as a fraction it is rational. If it cannot be written as a fraction it is irrational.

What is the answer to 5/6-3/4 ?

Answers

Answer:

9/4

Step-by-step explanation:

Simplify the expression by combining like terms.
4b + 9b + 5b-6=

Answers

12b is the answer to the question

4b + 9b + 5b-6

do 4b+9b first

4b+9b=13b

13b+5b=18b

Answer:

18b-6 or -6+18b

Mr. Smith donated $378 to 2 charities. Charity A received 5 times as much as Charity B. How much did Charity B received from Mr Smith?​

Answers

Answer:

$63

Step-by-step explanation:

let x represent Charity B then Charity A = 5x

Sum the two and equate to 378, that is

x + 5x = 378

6x = 378 ( divide both sides by 6 )

x = 63

Thus Charity B received $63

how is -6.1 wrote in fraction form​

Answers

-61/10 I hope this helps

Answer:

-6 1/10

Step-by-step explanation:

What is the solution of |x|=19

A
19

B
-19

C
19 and -19

D
none of these

Answers

The answer would be A 19 since the x is absolute value

Answer:

A19

Step-by-step explanation:

Which expression and value of six less than the quotient of a number and two increased by ten when n=8

Answers

Answer:

The expression is [tex]\frac{n}{2}-6+10[/tex]

For n=8 the value of the expression is 8

Step-by-step explanation:

Let

n -----> the number

we know that

"six less than" means we're subtracting 6:

- 6

"The quotient" means division. "Of a number and 2" Usually the numerator is listed first:

n/2

"increased by ten" means we're adding 10:

+10

substitute

[tex]\frac{n}{2}-6+10[/tex]

For n=8

substitute the value of n in the expression

[tex]\frac{8}{2}-6+10[/tex]

[tex]4-6+10=8[/tex]

Answer:

Expression would be [tex]\frac{n}{2}-6+10[/tex]

Value would be 8.

Step-by-step explanation:

Here, n represents the unknown number,

∵ The quotient of n and 2 = [tex]\frac{n}{2}[/tex]

6 less than  [tex]\frac{n}{2}[/tex] =  [tex]\frac{n}{2}-6[/tex]

[tex]\frac{n}{2}-6[/tex] increased by 10 = [tex]\frac{n}{2}-6+10[/tex]

Thus, the required expression would be,

[tex]\frac{n}{2}-6+10[/tex]

When n = 8,

[tex]\frac{8}{2}-6+10=4-6+10=8[/tex]

Sis I can’t do math... this has to be 20 characters so soosksksksdmksjsjdjdsjdj

Answers

Answer:

45mph.

15 x 3 = 45

20 x 3 = 60

so 60 ÷20 = 3

15 × 3 = 45

since 1 hour is 60 minutes

60 divided by 20 is 3

And 15 miles in 20 minutes times 3 is 45 miles in one hour

which aet of processes must occur to form soil​

Answers

Answer:

Step-by-step explanation:

To form soil, the two processes which must occur are erosion and weathering, so the correct answer here is B. Soil formation is a continuous process, but also one which takes a long time. It can sometimes more than five hundred years for 1cm of soil to form.

The formation of soil is a complex process that involves various physical, chemical, and biological processes acting over long periods of time.

Some of the key processes involved in soil formation include:

1. Weathering: Weathering is the breakdown of rocks and minerals into smaller particles due to exposure to physical, chemical, and biological agents such as water, wind, temperature fluctuations, plant roots, and microorganisms.

2. Erosion and Transportation: Once rocks and minerals are weathered, the resulting particles are transported by agents such as water, wind, ice, and gravity. Erosion refers to the movement of soil particles from one place to another, while transportation involves the movement of these particles over long distances.

3. Deposition: Deposition occurs when transported soil particles settle out of suspension and accumulate in a new location. Deposition can occur in various environments, such as river deltas, floodplains, glacial moraines, and coastal areas.

4. Organic Matter Accumulation: Organic matter, derived from decaying plant and animal remains, accumulates on the soil surface or mixes with mineral particles. Organic matter plays a crucial role in soil fertility, structure, and nutrient cycling.

The diameter of a white blood cell under magnification appears to be 0.3 centimeters. What is the diameter of the white blood cell in millimeters?

Answers

Answer:

I think the answer is 0.03

Answer:

The diameter of the white blood cell in millimeters is 3 mm.

Step-by-step explanation:

Given : The diameter of a white blood cell under magnification appears to be 0.3 centimeters.

To find : What is the diameter of the white blood cell in millimeters?

Solution :

The diameter of a white blood cell is 0.3 centimeter.

Conversion of centimeter into millimeters,

[tex]1\ cm=10\ mm[/tex]

So, 0.3 cm into mm is

[tex]0.3\ cm=10\times 0.3\ mm[/tex]

[tex]0.3\ cm=10\times \frac{3}{10}\ mm[/tex]

[tex]0.3\ cm=3\ mm[/tex]

Therefore, the diameter of the white blood cell in millimeters is 3 mm.

Below are the graphs of the functions y = 2x and y = 3x. What is the same about both lines?



They each have the same steepness.
They are parallel.
They start at the origin.
They rise upward to the right.

Answers

Answer:

Step-by-step explanation:

They start at the origin.because : when x = 0    y= 2(0) =0 and y=3(0)=0

Answer:

they rise upward to the right and they start from the origin

Step-by-step explanation:

i have the same question and that's right

trust me bro

what 120.4÷602 fluently divide whole numbers and decimals

Answers

0.2
Please give me thanks
Final answer:

To divide 120.4 by 602, place the decimal point in the quotient above the decimal point in the dividend. Divide the whole numbers and then bring down the next digit.
The result is 0.2 (rounded to one decimal place).

Explanation:Division of Whole Numbers and Decimals



To divide 120.4 by 602, follow these steps:


 Place the decimal point in the quotient above the decimal point in the dividend. In this case, the quotient will also have one decimal place.
 Divide 602 into 1204. The quotient is 2.
 Bring down the next digit, which is 0, and place it next to 4 to create 40.
 Divide 602 into 400. The quotient is 0.



Therefore, 120.4 divided by 602 is equal to 0.2 (rounded to one decimal place).

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Solve 2(x + 5) + 4(x – 9) = -14. Show each step of your work.

Answers

Answer:X = 2

Step-by-step explanation:

Apply the distributive property.

2x+2⋅5+4(x−9)=−142x+2⋅5+4(x-9)=-14

Multiply 22 by 55.

2x+10+4(x−9)=−142x+10+4(x-9)=-14

Apply the distributive property.

2x+10+4x+4⋅−9=−142x+10+4x+4⋅-9=-14

Multiply 44 by −9-9.

2x+10+4x−36=−142x+10+4x-36=-14

Simplify by adding terms.

6x−26=−146x-26=-14

Move all terms not containing xx to the right side of the equation.

Add 2626 to both sides of the equation.

6x=−14+266x=-14+26

Add −14-14 and 2626.

6x=126x=12

Divide each term by 66 and simplify.

Divide each term in 6x=126x=12 by 66.

6x6=1266x6=126

Cancel the common factor of 66.

x=126x=126

Divide 1212 by 66.

x=2


Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Which answer is correct?


A. x=22 3

B. x=22−−√3

C. x=±22−−√3

D. x=22−−√

Answers

For this case we must solve the following equation:

[tex]x ^ 3 = 22[/tex]

If we apply cubic root to both sides of the equation, then we eliminate the exponent on the left side:

[tex]\sqrt [3] {x ^ 3} = \sqrt [3] {22}\\x = \sqrt [3] {22}[/tex]

That is the exact solution of the equation. Its decimal solution is given by:

[tex]x = \sqrt [3] {22} = 2.8020[/tex]

ANswer:

The solution to the equation is [tex]x = \sqrt [3] {22} = 2.8020[/tex]

Option B. x = [tex]\sqrt[3]{22}[/tex] is the correct answer, by solving x³ = 22, where we found the cube root of 22. Other options are incorrect.

We will determine a number that, when raised to the power of 3, equals 22.

Option A: x = [tex]22^{3}[/tex] is incorrect because this represents 22 cubed, not the cube root of 22.Option B: x = [tex]\sqrt[3]{22}[/tex] is correct because it accurately represents the cube root of 22.Option C: x = ± [tex]\sqrt[3]{22}[/tex] is incorrect because cube roots can include negative values, but in the context of this problem we are looking for a single, positive value.Option D: x = [tex]\sqrt{22}[/tex] is incorrect because this represents the square root of 22, not the cube root.

Therefore, the correct choice is option B. x = [tex]\sqrt[3]{22}[/tex]

Corrected question:

Mr. Yueng graded his students’ math quizzes. Students came up with four different answers when solving the equation [tex]x^{3}[/tex] = 22.

Which answer is correct?

A. x = [tex]22^{3}[/tex]

B. x = [tex]\sqrt[3]{22}[/tex]

C. x = ±[tex]\sqrt[3]{22}[/tex]

D. x = [tex]\sqrt{22}[/tex]

Mr.still's class has musuc for 50 minutes and then independent reading for 20 mins Music start 8:30. What time does Mr.Still's class finish independent reading

Answers

When they finish the independent reading it would be 9:40

Answer:

Mr. Still finish independent reading at 9:40

Step-by-step explanation:

Mr.still's class has music for 50 minutes and then independent reading for 20 mins Music start 8:30

Music starts at 8.30 and it goes for 50 minutes

8:30 + 50 minutes is 9:20

After music , independent reading for 20 mins

So we add 20 minutes with 9:20

9:20 + 20 minutes is 9:40

So , Mr. Still finish independent reading at 9:40

Is -16/8 an integer

Answers

Answer:

-16/8 or -16÷8 equals -2 which is a whole number

an integer is a whole number that is positive ,negative or zero

Examples of integers: 1, 2, -5, -18, 20

Not Integers: 0.2, 9.15, 2/3

Final answer:

The division of -16 by 8 results in -2, which is an integer because it has no decimal component. Therefore, -16/8 is an integer.

Explanation:

The question is whether -16/8 is an integer. To determine this, we simply perform the division: -16 divided by 8 equals -2. Since -2 has no decimal component, it is indeed an integer. Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals. Examples of integers include -8, -6, -2, 0, 4, and 12. In this case, -16/8 simplifies precisely to -2, which is an integer.

write 0.3232323232... as a fraction
write 2.555555... as a mixed number

Answers

Answer: I believe first one is 32/99 and the second one is 2 whole numbers and 5/9

Step-by-step explanation:

The number 0.323232... can be written as a fraction 32/99, while the number 2.55555... can be written as the mixed number 2 5/9.

To write 0.323232... as a fraction, you can use the method for converting repeating decimals to fractions. Let's say X = 0.323232... Then 100X = 32.323232..., and subtracting the first equation from the second gives 99X = 32, or X = 32/99.

For the number 2.55555..., we will have our whole number as '2' and we need to convert .55555... into a fraction. Let's use the same method: if Y = .55555..., then 10Y = 5.55555.... Subtracting these gives 9Y = 5, which simplifies to Y = 5/9. So, 2.55555... as a mixed number is 2 5/9.

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Please help ASAP! If you could as well explain your answer or show how you found the answer that would be great!!! Find the monthly payment needed to amortize principal and interest for the fixed-rate mortgage. Use either the regular monthly payment formula or the given table.Loan Amount $43,500 Interest Rate 2.4% Term 5 years

Answers

43500*2.4%=1044*5220 for all five years in monthly payments you do 5220/60= 87$ a month

Write the equation of the line in either point-slope form or slope-intercept form.

Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).

Use the drop-down menus to select the appropriate values in the equation.

25 POINTS!

Answers

Answer:

the answer is y = -3x + ( -0.25)

Step-by-step explanation:

Final answer:

The equation of a line with a slope of -3 passing through the point (1.25, -4) can be derived by using the point-slope form (y - y1 = m(x - x1)). Substituting the given values, we get the line's equation as y = -3x - 0.25.

Explanation:

The given problem requires us to write the equation of a line in either point-slope form or slope-intercept form. We are provided with a bit of information to get started: the slope of the line (-3) and a point the line passes through (1.25, -4).

The point-slope form of a line's equation is: y - y1 = m(x - x1), where (x1, y1) are coordinates of a point on the line and m is the slope. Substituting the given values, we get y - (-4) = -3(x - 1.25), which simplifies to y + 4 = -3x + 3.75. Finally, rearranging, we get the slope-intercept form: y = -3x - 0.25.

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How many solutions are there to the equation below?
6x + 15 = 6(x - 3)
O A. O
O B. Infinitely many
O c. 1

Answers

Answer:

0

Step-by-step explanation:

6x +15 = 6(x - 3)

6x +15 = 6x - 18( put the like terms together)

6x - 6x = - 18 - 15

0x = - 33

X = - 33/0

Which is 0

Answer:

answer is 0 or 1

Step-by-step explanation:

solve this problem please
x/3+6-2x=-6

Answers

Answer:

36/5

Step-by-step explanation:

x/3 + 6 -2x = -6

multiply the whole equation by 3 to get rid of the denominator of the first x term.

x+18-6x = -18

move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case

x+18-6x-18=-18-18

x-6x = -36

simplify

-5x = -36

divide both sides by -5 to isolate x

x = -36/-5

=36/5


Use rounding to estimate $6.79 − $3.95 to the nearest half-dollar.
A : $ 3.50
B : $ 3.00
C : $ 4.00
D : $ 4.50

Answers

B, i honestly just subtracted them... and got $2.84 and rounded up to $3.00

Answer:

B : $ 3.00

Step-by-step explanation:

Round $6.79 to $7.00 and round $3.95 to $4.00 then do $7.00 - $4.00 = $3.00. You get the answer of B : $ 3.00

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Through seafloor-spreading, the formation of oceanic ridges occur with the separating of landmasses which results in a larger seafloor. The opposite can also happen, when landmasses are being pushed together creates mountain ranges. Faults are what underlies beneath continents which makes seafloor-spreading and the formation of mountain ranges to occu The final enzymatic breakdown in the digestive processes of most proteins and carbohydrates are accomplished by:a. enzymes secreted in the stomach and pancreasb. enzymes secreted in the pancreasc. enzymes secreted in the brushborderd. enzymes secreted in the mouth and small intestinee. enzymes secreted in the pancreas and large intestine Rapidly and automatically detecting the presence of airborne agents of a biological origin, identifying the agent at the point where the system is located defines what installed biological agent detector? Q 1.6: Ginni founded Waggstooth Manor Doggie Day Care and, after a year in business, formed a partnership with her husband, Warren. Their friend, Phoebe, is a shareholder with Networth Bank. In terms of personal liability, who is at greater risk? Why? PLEASE HELPBoth Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked. Which statement is best supported by the graph?Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked ALL of the following are functions of the liver, EXCEPT:a. Storage of bileb. Carbohydrate metabolismc. Detoxification of the blood d. Protein and lipid metabolisme. production of bile and phagocytosis Examination of Internet records in order to reveal the identity of an anonymous poster is defined asDoxingFilteringSpammingHacking What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? 30 31 32 34 Please need help on this Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points) -What are the primary activities of the Business Intelligence system? A client is being discharged home after an open radical prostatectomy. Which statement indicates a need for further teaching? 1. "I will try to drink lots of water." 2. "I will try to walk in my driveway twice a day." 3. "I will wash around my catheter twice a day." 4. "If I get constipated, I will use a suppository." To avoid a service fee, your checking account balance must be at least $500 at the end of each month. Your current balance is $529.57. You use your debit card to spend $126.08. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee? A 44 kg child jumps off a 2.2 kg skateboard that was moving at 8.0 m/s. The skateboard comes to a stop as a result. Find the speed at which the child jumped from the board. Show all your work. Assume a frictionless, closed system.