Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?
2 x minus 5 x = 15
2 x + 5 x = 15
2 x + 15 = 5 x
5 x + 15 = 2 x

let's recall that d = rt, or namely distance = rate * time.

b = speed of the boat

c = speed of the current

now, we know that going downstream the boat went 16 miles total, that's going only one way, so the distance the boat travels downstream as well as upstream to return is 16 miles flat.

when going downstream, the boat is not really going at "b" speed, is really going at "b + c" speed, because the current is adding its speed to it, so is really going faster than "b".

when going upstream, the boat is not really going at "b" speed" either, is really going slower at "b - c" speed, because the current is against it and thus subtracting speed from "b".

let's take a look at those in a table

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Downstream&16&b+c&2\\ Upstream&16&b-c&4 \end{array}\qquad \qquad \begin{cases} 16=(b+c)(2)\\\\ 16=(b-c)(4) \end{cases} \\\\\\ \stackrel{16}{(b+c)(2)}~~ = ~~\stackrel{16}{(b-c)(4)}\implies 2b+2c~~ = ~~4b-4c\implies 2c=2b-4c[/tex]

[tex]6c=2b\implies \cfrac{6c}{2}=b\implies \boxed{3c=b} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{16~~ = ~~(\stackrel{b}{3c}+c)(2)}\implies 16=4c(2)\implies 16=8c \\\\\\ \cfrac{16}{8}=c\implies \blacktriangleright \stackrel{mph}{2}=c \blacktriangleleft~\hspace{10em}3(2)=b\implies \blacktriangleright \stackrel{mph}{6}=b \blacktriangleleft[/tex]

Answer:

5m - 10

Step-by-step explanation:

Use distributive property;

5(m - 2)

(5 x m) (5 x -2)

5m - 10

10

solve:

14 - (2(x) - y)

given x : 3, y : 2, insert the following

[tex]\\ \rm\rightarrowtail 14-(2x-y)[/tex]

[tex]\\ \rm\rightarrowtail 14-2x+y[/tex]

[tex]\\ \rm\rightarrowtail 14-2(3)+2[/tex]

[tex]\\ \rm\rightarrowtail 14-6+2[/tex]

[tex]\\ \rm\rightarrowtail 10[/tex]

Step-by-step explanation:

The number 1 is a common factor of C) all whole numbers

Answer:

C

Step-by-step explanation:

6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.

Answer:

Step-by-step explanation:

Here is how I found it:

Required:

Correct choice is A.

Answer:

(x² -1) + y² = 9

Step-by-step explanation:

diameter=6 so radius means 6/2=3 (thus,radius²=3²=9)

centre (1 and midpoint of diameter is at y=0, so 1,0)

Answer:a=10 b=35

Step-by-step explanation:

1*8=8  1.25*8=10

1*28=28 1.25*28=35

Answer:

D, [tex]\frac{7(x-4)}{6}[/tex]

Step-by-step explanation:

Basically you have to simplify the (x² - 16). Since it is the difference of 2 squares, it's simplified as (x + 4)(x - 4). Now that everything is simplified, you can start doing the multiplication.

[tex]\frac{(x+4)(x-4)}{6x} *\frac{7x}{(x+4)}[/tex], You can cancel out the (x+4)'s

[tex]\frac{(x-4)}{6x} *{7x}[/tex], There is a common factor between 7x and 6x. The common factor is x. So cancel out both "x".

You end up with this, [tex]\frac{7(x-4)}{6}[/tex]

Answer:

4x+4=16

4x= 16–4

4x= 12

x= 12/4

x= 3

Alternatively,

4x+4=16

Taking 4 common,

4 (x+1) = 16

x+1 = 16/4

x+1 = 4

x = 4–1

x = 3

Step-by-step explanation:

The value of x is 68.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Given equation:

4/(x - 4) = 1 /16

Now, solving for x

4/(x - 4) = 1 /16

64 = x - 4

x= 68

Hence, the value of x is 68.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

5sqroot3

Step-by-step explanation:

see image.

An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.

To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image

Step-by-step explanation:

what is that called into the comet or ok

Answer:

Step-by-step explanation:

firstly the area for teh rectangle is 12 x 15 = 18are0

the area for the circle is 113.1 sq inches because  pi x r squared

Answer:

7x+4+2y is your answer

Hello!

Please remember that

Example:

4T+5H

In this example, the coefficient of T is 4, and the coefficient of H is 5.

So let's identify the coefficient of x.

It seems like x doesn't have a coefficient, but it does.

It's equal to 1.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

16641

Step-by-step explanation:

Thank you!

Answer:

First choice.

Step-by-step explanation:

cos 11π/6 = cos π/6 = √3/2

So cos 11π/12 =   √(1 + cos 11π/6) / √2

= √(1 + √3/2) / √2

= √(2 + √3) / 2.

Answer:

8

Step-by-step explanation:

Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8.

Answer:

8

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

10138 is the answer to 12x12x77-38x 25

Step-by-step explanation:

I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138

try your best

Step-by-step explanation:

Answer:

Study!

Step-by-step explanation:

Answer:

128 because formula is bh

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[tex]9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2[/tex]

Answer:

-1/1

Step-by-step explanation:

=64/-8

over

36-30+2

= -8

over

8

= -1

over

1

Answer:

[tex] \rightarrow - 1[/tex]

Step-by-step explanation:

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]

[tex] \rightarrow \: - 1[/tex]

The probability that Natalie got at least two correct on the last three

true-or-false questions is 1/4.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The sample space is 2. The question is either correct or wrong.  

The probability that Natalie got at least two correct = 1/2 x 1/2 = 1/4

To learn more about probability, please check: https://brainly.com/question/795909

Answer:

the answer is D...... ..........

Answer:

226,080 cm3

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.