Jade has $451. 89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358. 92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options. 451. 89 minus c = 358. 92 451. 89 minus 3 c = 358. 92 358. 92 3 c = 451. 89 358. 92 c c c = 451. 89 c = 3 (451. 89 minus 358. 92).

Answers

Answer 1

The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  [tex]a \div b[/tex] = a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.

Amount deducted by 3 checks = $451.89 - $358.92

Amount of all 3 checks is $c

Thus, total of their amount = $(c + c + c) = 3c

Thus, we get:

[tex]3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89[/tex]

Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]

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Related Questions

How do I work out reverse mean

Answers

Answer:

reverse mean going back side.

the sum of 48 and twice a number is 58. find the number

Answers

Answer:

5

Step-by-step explanation:

5 x 2 is 10 and 48 plus 10 is 58

The circumference of a circle is 20 4/35 cm. What is the approximate diameter of the circle? Use 22/7 for π. Enter your answer as a mixed number in simplest form in the box. cm

Answers

The approximate diameter of this circle is equal to 6.4 cm.

Given the following data:

Circumference of a circle = [tex]20\frac{4}{35}[/tex] cm.[tex]\pi = \frac{22}{7}[/tex]

To determine the approximate diameter of this circle:

How to calculate the circumference of a circle.

Mathematically, the circumference of a circle is given by the formula:

[tex]Circumference = \pi D[/tex]

Where:

D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

[tex]20\frac{4}{35}=\frac{22}{7} D\\\\\frac{704}{35} =\frac{22D}{7} \\\\704\times 7=22D \times 35\\\\4928=770D\\\\D=\frac{4928}{770}[/tex]

D = 6.4 cm.

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Answer:

6.4 =  6 2/5

Step-by-step explanation:

i took the test

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Thank you if you help. It may take some time to give someone brainlyist just be patient.

Answers

Answer:

The bathroom measures 14 feet by 15 feet. They have 188 square feet of tile. Does the family have enough tile to cover their bathroom floor? Yes, they have enough tiles and will have 159 square feet of tiles left over.

Step-by-step explanation:

Mark me brainliest!!

6. Molly uses 192 beads to make a bracelet and
a necklace. It takes 5 times as many beads
to make a necklace as it does to make a
bracelet. How many beads are used to make
the necklace?

Answers

Answer:

1960

Step-by-step explanation: 192 x 5

What is the value of the expression below?
(-8) ^ 5/3

A. 40/3
B. - 40/3
C. -32
D. 32

Answers

Answer:

  C.  -32

Step-by-step explanation:

Using the rule of exponents for a power of a power, we can simplify the expression like this:

  (-8)^(5/3) = ((-8)^(1/3))^5 = (-2)^5 = -32

__

A suitable calculator can evaluate this for you.

__

Additional comment

Some calculators use logarithms to compute powers. The logarithm of a negative number is undefined, so direct computation of this expression would give an error on such a device. You would have to recognize that the root and power are odd, so the result will be negative. Then you could calculate -(8^(5/3)) without error.

The rule of exponents used here is ...

  (a^b)^c) = a^(bc)

Enola spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6125 feet.
Enola initially measures an angle of elevation of 16° to the plane at point A. At some
later time, she measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest tenth of a foot if necessary.

Answers

Answer:

12930.1

Step-by-step explanation:

70°
x
82°
r
r
6 -
- 4)º
an
160°
(2y - 40
HELP ASAP

Answers

Answer:

Step-by-step explanation:

x + 70 = 180   {Linear pair}

       x = 180 - 70

       x = 110

y + 82 = 180 {linear pair}

      y = 180 -82

      y = 98

x - 4 = 110 - 4 = 106

2y - 40 = 2*98 - 40

            = 196 - 40

            = 156

Describing Steps Used to Solve an Equation with Decimals
Examine the steps used to solve the equation.

12.5x − 10.2 = 3(2.5x + 4.2) - 6

1. 12.5x − 10.2 = 7.5x + 12.6 − 6

2. 12.5x − 10.2 = 7.5x + 6.6

3. 12.5x = 7.5x + 16.8

4. 5x = 16.8

5. x = 3.36

Analyze the steps to determine which properties or procedures were used to complete each step

Step 1:
✔ distributive property
Step 2:
✔ combining like terms
Step 3:
✔ addition property of equality
Step 4:
✔ subtraction property of equality
Step 5:
✔ division property of equality

Answers

Yea I’m going to bed but I’ll be there in a little while I

Which expression is equivalent to −28x2 + 35x?

Answers

Answer:

-7x(4x - 5)

Step-by-step explanation:

−28x^2 + 35x

-7x(4x - 5)

Hope this helps!

Yeah what she or he or they said

you deposit 250 into an account at the end of 6 months your balance is 255 what is the simple annual interest rate

Answers

Answer:

I'm not completely sure but I think that it is 2.5%

Step-by-step explanation:

255-250=5, 5=5%, 5% in 6 months = 2.5% in 12 months. BOOM, TOO EASY!

Solve each system using the elimination method
4x-y=-2
2x+y=2

Answers

x is equal to 0
y is equal to 2

Use the slopes to describe each line as slanting downward, slanting upward, horizontal, or vertical. explain your answer.
(1,3) and (1, -10)

Answers

Step-by-step explanation:

The slope of 3 and -10.

If the slope is above 0, the line is increasing.

If the slope is at 0, it's a horizontal line or straight. Vertical If the run is 0.

If the slope is below 0, the line is decreasing.

3 is slanting upward, the slope is greater than 0 therefore the line is increasing.

-10 is slanting downward, the slope is less than 0 therefore the line is decreasing.

Kito makes on online purchase of a guitar case for $39.99, a tuner for $24.99 and picks for $26.99. Taxes are 6% of the total purchase price. Shipping charges are based on the following table:
Amount of Purchase
Standard Shipping
Express Shipping
up to $50
$5.10
$7.00
$50 up to $100
$6.35
$8.20
$100 up to $200
$7.80
$11.60
$200 and over
$10.50
$16.45
Kito selects express shipping and the company bills his credit card $105.69 for the total of the online purchase. Determine if Kito has been billed correctly for his purchase.
a.
Kito has been billed correctly.
b.
Kito has not been charged enough for his purchase.
c.
Kito has been over charged by $1.85 for his purchase.
d.
Kito has been over charged by $3.40 for his purchase.

Answers

Answer:

a. Kito has been billed correctly

Step-by-step explanation:

We simply need to check Kito's work to see if his price is accurate.

First, we can add the prices together to find the price before the sales tax is applied:  39.99 + 24.99 + 26.99 = $91.97

We can use this formula to figure out the total cost, C, after the sales tax, t is added:

C = l + (l * (t / 100)), where l = the price before applying the sales tax

C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49

We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping.  Thus we add:  97.49 + 8.20 = $105.69.

If we did not round before, we would still get the same answer when rounding:  97.4882 + 8.20 = 105.6882 = $105.69

Kito has not been charged enough for his purchase.

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we need to calculate the total cost of the purchase before shipping and taxes:

= $39.99 + $24.99 + $26.99

= $91.97

Next, we need to add the shipping cost based on the amount of the purchase:

Since the purchase amount is between $50 and $100, the express shipping cost is $8.20.

So the total cost of the purchase with shipping is:

= $91.97 + $8.20

= $100.17

Finally, we need to add the tax:

= 6% of $100.17

= $6.01

So the total amount Kito should be billed is:

= $100.17 + $6.01

= $106.18

And,

Since Kito was billed $105.69, he has been undercharged by $0.49.

Therefore,

Kito has not been charged enough for his purchase.

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#SPJ5

Factor completely 3x3 − 3x2 − 18x. 3x(x 3)(x 2) 3x(x 3)(x − 2) 3x(x − 3)(x 2) 3x(x − 3)(x − 2).

Answers

3x^3-3x^2-18x ——-Factor out 3x
3x(x^2-x-6)———-Rewrite the equation
3x(x^2+2x-3x-6)———Factor our X
3x(x(x+2)-3(x+2))——-factor out x+2
3x(x(x+2)-3(x+2))
3x(x+2) (x-3)

Which of the following is a solution to the inequality below?

–10c > 50

Answers

Answer: c < -5

Divide by negative 10 on both sides and get negative 5

AABC shows the floor space that a corner cabinet takes up. What is the

area?

Answers

The area of the triangle is 2√5 square units

Arwa of a triangle

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

b is the base

h is the height of the triangle

Using the distance formula

b = AC = √(5-1)²+(0-2)²

base =√20
base = 2√5

For the height

h = √(1-3)²+(4-4)²

base =√2²
base = 2

Area = 0.5(2)(2√5)

Area = 2√5 square units

Hence the area of the triangle is 2√5 square units

Learn more on area of triangle here: https://brainly.com/question/23945265

What is the value of 12a^-4b^-3 for a = 2 and b = -1?

Answers

12a^-4 * b^-3
a= 2 and b = -1

Can you put 2 where it says a and -1 where it says b

Answer:

-3/4

Step-by-step explanation:

a = 2 and b = -1

12a⁻⁴b⁻³

= 12(2)⁻⁴(-1)⁻³

= 12(1/16)(-1)

= -12/16

= -3/4

explain the importance of factoring and substitution while solving trigonometric equations

Answers

Answer:

Explain in your own words how knowledge of algebra is important when solving trigonometric equations.

Step-by-step explanation:

It might help to not write
x
for the before and after. That's misleading. What you're doing is writing =3sin()
x
=
3
sin

(
θ
)
. You're inventing a new variable
θ
that relates to
x
in a way that lets you use trig identities to solve your problem. Plugging in values after your transformation shouldn't give you the same values, since the new integral is in a different variable. We have

help please!!!!!!!!!

Answers

Lisa would likely be correct 2/3 times.

The graph shows the total cost tand
the number of shirts n purchased at
a store. Write an equation to express
this relationship. What is the cost of
20 shirts?

Answers

Well looking at the point of (4,60) and an even exchange, this means that 4 shirts equals $60, so this makes 1 shirt equal $20

With this we can say now that 20 shirts is $400

A dance instructor earns $30 for teaching a class. The instructor earns a 10% raise. After the raise, how much does the instructor get paid for
teaching a class?

Answers

Answer:

10/100 x 30 = 3

30 + 3 = 33

Answer:

The answer is $33

Step-by-step explanation:

Given;A dance instructor earns $30 for teaching a class. The instructor earns a 10% raise.

Here,

$30 × 10 ÷ 100 = 300/100 = $3

Here, we know the raised amount.

So,

$30 + $3 = $33

Thus, the instructor get paid for teaching a class is $33

-TheUnknownScientist 72

Marcy wants to know which type of book is most commonly checked out by visitors of her local public library. She surveys people in the children's reading room between 1:00 and 2:00 on Saturday afternoon. Which statements about Marcy's survey are true? Select all that apply. ​

Answers

It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.

What does Marcy want to study?

Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.

How was the sample Marcy selected?

The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.

Based on this, it can be concluded her population is all visitors and the sample is not representative.

Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.

Learn more about population in: https://brainly.com/question/905400

Answer: Look at the explanation

Step-by-step explanation:

Note that I think it is the question in the math book.

Its says... (from what I see in my book)

A) Marcy’s sample is not a representative sample because not all of the  library’s visitors go to the children’s reading program.

B) Marcy’s sample is a represnetative sample of the population.

C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.

D) The population of Marcy’s study consits of all visitors of the public library.

E) The results of Marcy’s survey include a mode, but niether a mean nore a median.

The answers that are true are

A

D

E

Why?

Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population

*Note that the whole population is the people in the library*

Marcy needs to ask people who are in and not in the children’s reading room.

I am not sure if this is correct but I hope this helps with your question.

Will someone tell me if this is correct please?

Betty, Cathy, Isabel, Lani, Alma, and Ursula ran and 800-meter race. Alma beat Isabel by 7 meters. Betty finished 12 meters behind Ursula. Alma finished 5 meters ahead of Lani but 3 meters behind Ursula. Cathy finished halfway between the first and last person. IN what order did they finish? Also indicate the distances between each girl.

Answers

Answer:

1. Ursula = y

2. Alma = y - 3 (3 meters behind)

3. Carly = y - 6 (3 meters behind Alma)

4. Lani = y - 8 (2 meters behind Carly)

5. Isabel = y - 10 (2 meters behind Lani)

6. Betty = y - 12 (2 meters behind Isabel)

Step-by-step explanation:

We are going to use different letters to represent the meters run by the girls:

Alma beat isabel by 7 meters, if A is x then Isabel is x - 7

A = x

I = x -7

Ursula beat  Betty be 12 meters. Let's call Ursula y, then:

U  = y

B = y - 12

Alma finished 5 meters ahead of Lani but 3 meters behind Ursula. Let's call Lani z.

L = z

A = z + 5 = y - 3 (since Ursula was "y" and Alma finished 3 meters behind Ursula)

We're going to leave Carly until the end since she finished halfway between the first and the last girls.

Now we can see that Alma is represented by equations with 3 different letters:

A = x = z + 5 = y -3

Therefore we know that

x = y -3

⇒A = y - 3

And we'll proceed to express all the other girls distances in terms of "y"

We know that Isabel = x - 7. Therefore we can substitute x = y - 3 and we get that

Isabel = x - 7 = (y - 3) - 7 = y - 10

⇒I = y - 10

We already have Ursula and Betty expressed in terms of y.

⇒U = y

⇒B = y - 12

Now let's go back to Alma equation (A = x = z + 5 = y -3) and we see  that:

z + 5 = y - 3.

Therefore z = y - 3 - 5 = y - 8.

⇒z = y - 8

We have Lani left who was L= z = y - 8

⇒ L = y - 8

The first girl would be Ursula = y

And the last girl would be Betty = y - 12.

⇒Therefore, Carly finished halfway them both and that would be C = y - 6

So, the order in which they arrived was:

Ursula = y

Alma = y - 3 (3 meters behind)

Carly = y - 6 (3 meters behind Alma)

Lani = y - 8 (2 meters behind Carly)

Isabel = y - 10 (2 meters behind Lani)

Betty = y - 12 (2 meters behind Isabel)

Please Mark as brainliest if i got it correct

please help me quick with it​

Answers

Answer:

the answer is C

Step-by-step explanation:

I had the same question

What is the question of pi?

Answers

Answer:

It is also called Archimedes constant which was named after the Greek mathematician, Archimedes, who created an algorithm to approximate the pi value. The value of pi is irrational, which means that the count of digits after the decimal point is infinite.

I hope this helped (;

Answer:

of a Circle. The circumference divided by the diameter of a circle is always π, no matter how large or small the circle is! To help you remember what π is ... just draw this diagram.

...

Step-by-step explanation:

Which fraction does the colored portion of the picture represent?

Answers

Answer: 19/24

Step-by-step explanation: There are 19 colored squares out of 24 squares total.

Hi there please help me
On question two I’m not understanding why they put the brackets in when there was no brackets in the equation they gave me to solve

Answers

Answer/Step-by-step explanation:

When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.

Instead of ((-2+5)x4), it would be [(-2+5)x4]

It does not affect the answer


PLEASE HELP
HURRYYY

Answers

Answer:

The answer is the last option or 6.

Over 2 days, 12 likes were added.

12/2 is 6.

Over an additional 3 days, 18 likes were added.

18/3 is 6.

So, the average rate of change is 6.

Which choice shows the graph of a linear function?

Answers

Answer:

4th one

Step-by-step explanation:

because its a line (linear)

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