An art club sells 42 large candles and 56 small candles.



a. Use the Distributive Property to write and simplify an expression for the profit.

expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:

b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?

club's profit: $

Answer:

The graph is attached

Answer:

35.113 km per hour is the correct answer

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

For both of them:

Elizabeth:

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: https://brainly.com/question/13911928

Answer:

6.5, will not

Step-by-step explanation:

The water level is 6.5 ft above normal after 5​ hours, so it

will not reach a level of 7 ft above normal after 5 hours.

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Answer:

23?

Step-by-step explanation:

78 minus 45 equals 23

This is the only reasonable answer I can decipher from your question.

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

Answer:

Just Multiply L×B And you'll get it

And if you want me to solve then give a image!

Hope its helps!

if the value of x is 1 then the y value is 6

The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]

Let [tex]R[/tex] be the amount of money Rachel has

Let [tex]N[/tex] be the amount of money Neil has

Let [tex]C[/tex] be the amount of money Caroline has

Let [tex]M[/tex] be the total amount of money shared between the three people

Then, from the problem we have the following relationships

[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]

Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get

[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]

Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]

Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685

Answer: number 4 is +(positive) because the exponent is even.

Number 5 is -(negative) because the exponent is odd.

Step-by-step explanation:

7) Solution:

→ (2)³

→ 2 × 2 × 2 {Expanded form}

→ +8

Ans: Positive

4) Solution:

→ (-6)⁴

→ -6 × -6 × -6 × -6

→ +1296

Ans: Positive

5) Solution:

→ (-3)⁷

→ -3 × -3 × -3 × -3 × -3 × -3 × -3

→ -2187

Ans: Negative

amys share would be 45:30 so amys is 45 and marys 30

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

Answer: a = 2.5 (an-1)

Step-by-step explanation: trust me;)

The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of  numbers.

[tex]a_{n} =ar^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression

n is the total number of terms

r is the common ratio

and a is the first term

According to the given question

We have

A geometric progression

8, 20, 50, 125, 312.5

Now the common ratio for the above progression is given by

[tex]r = \frac{20}{8} = 2.5[/tex]

And the first term is

a = 8

Therefore, the function which is used to represent the above sequence is given by

[tex]a_{n} = 8(2.5)^{n-1}[/tex]

Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

Learn more about geometric progression here:

https://brainly.com/question/4853032

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Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

Answer:

135 divided by 4

Step-by-step explanation: