A customer paid a total of $6.00 for 68 copies at a print shop. Some copies were black and white copies, the rest were color copies.
• each black and white copy cost $0.08
• each color copy cost $0.15
Which system of equations can be used to find b, the number of black and white copies and c, the number of color copies that the customer paid for at the print shop?

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

1) Answer:

\(h = \frac{3}{2} \)

2) Answer:

\(a = \frac{160}{3} \)

3) if you mean,

\( \frac{3}{5} x = 12\)

Then the answer is. x = 20.

but, if you mean

\( \frac{3}{5x} = 12\)

then the answer would be, x = 1/20.

4) Answer:

\(y = \frac{5}{7} \)

5) If you mean,

\( \frac{14}{3} = - \frac{7}{9b} \)

then the answer would be, b = -1/6

but if you mean,

\( \frac{14}{3} = - \frac{7}{9} b\)

then the answer would be, b = -6

Answer:

x = 2

y = 6

Step-by-step explanation:

We have a system of equations and are asked to solve for x and y.

y = -2x + 10

y = 3x

Since both equations start with y, we can subtitute.

3x = -2x + 10

Solve for x :

Add 2x to both sides :

5x = 10

Divide 5 from both sides :

x = 2

Now substitute x in the second equation because it's more easier :

y = 3(2)

3(2)

6

y = 6

Answer:

4.26363636364 or this fraction 4 and 6590909090/25000000000

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

simplify. I'm too lazy to type out the work if you rly need it then ig I could tho

Answer:

\(\frac{1323}{8x}\)

Step-by-step explanation:

\((\frac{1}{6}) ^{-3}\) \((\frac{8x}{7}) ^{-2}\)

\((\frac{1}{6}) ^{-3}\) = (1/(1/6))^3 = (1*6)^3 = (6)^3 = 216

\((\frac{8x}{7}) ^{-2}\) = (1/(8x/7))^2 = (1*(7/8x))^2 = (7/8x)^2 = 49/64x

(216)(\(\frac{49}{64x}\)) = 10584/64x

divide num and denominator by 8

Answer: 1323/8x

Answer:

6. (0, 7)

7. (-3, -10)

8. (-3, 9)

9. (2, 0)

Step-by-step explanation:

Answer:

6. (0,7)

7.(-3,-10)

8. (-3,2)

9. (2,0)

Answer:

y=1

Step-by-step explanation:

After 7 years  the laptop computer will be worth $200 or less.

Given:

A laptop computer is purchased for $1400 .

Each year, its value is 75%  of its value the year before.

After how many years will the laptop computer be worth $200  or less = ?

1400(0.75)t≤ 200

0.75t  ≤ 1/7

ln(0.75t) ≤ ln(1/7)

tln(0.75) ≤ ln(1/7)

t ≥ ln(1/7)/ln(0.75)

t ≥ 6.76

The natural log of a number between 0 and 1 is negative, and dividing by a negative switches the sign.

So, after 7 years, the laptop computer will be worth $200 or less.

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Answer:

6

Step-by-step explanation:

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

x= -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

To answer this question, we are assuming that the triangle is a right triangle, with sides (legs), a = 0.84m, and b = 0.63m.

Then, we can use the Pythagorean Theorem as follows:

Then, we have:

• c is the hypotenuse

• a, b the given legs of the right triangle

Now, to solve the equation for c, we need to take the square root from both sides of the equation:

Therefore, c = 1.05m. The result was already given in three significant figures.

In summary, the measure of the hypotenuse of the given right triangle is 1.05m.

Answer:

156 ft

Step-by-step explanation:

5x+9x+13x=324

27x=324

x=12

13(12)=156

According to the graph, the range, which is the set of values that y can take, comes from negative infinite and stops at approximately 2. It means that y will always be greater than negative infinite but less than 2, this represented as inequation is:

Answer:

Question number 1: 70

Question number2: 0

Question number 3: Mike team

Step-by-step explanation:

Question number 1: Just add all of the numbers together and you will get 70 as your answer.

Question number 2: Becuase everyone in the team has scored at least 1 point or greater.

Question number 3: Mike's team becuase he and his team has the most points out of all the other teams.

Hope this helps :D

Answer:

Step-by-step explanation:

Middle right = 3

Bottom left = 15t

Answer:

In the explanation

Hope this helps!

Step-by-step explanation:

3 * ( 5t + 4 )

3 * 5t + 3 * 4

15t + 12

The standard deviation may or may not be dependent, as it depends on the nature of the data being analyzed.

When using a dependent samples t-test, the sample consists of two related groups that are being compared to each other.

Therefore, it is not true that there is only one mean or that the sample consists of only one group.

Additionally, the standard deviation may or may not be dependent, as it depends on the nature of the data being analyzed.

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Since the first child is a boy, this means we need to find the probability of another boy. This is 1/2 since we assume each gender has the same chance of happening.

Answer:

i'm pretty sure its improper.

Step-by-step explanation:

:) I really hope this helps

Answer:

x= -2

Step-by-step explanation:

First you distribute then subtract the non- x number over to the other side and finally you divide

Answer:

x=37

Angle P: 65 degrees

Angle Q: 78 degrees

Angle R: 37 degrees

Step-by-step explanation:

sum of all three angles of a triangle always equal 180 degrees

So we can add these and set it equal to 180

2x-9+2x+4+x=180

5x-5=180

   +5. +5

5x=185

/5.   /5

x=37

So now to find each  angle we just fill in X

Angle p: 2x-9

2(37)-9

74-9

Angle P is 65 degrees

Angle Q: 2x+4

2(37)+4

74+4

Angle Q is 78 degrees

And since angle r is just x and we already know X=37 then

Angle r is 37 degrees

Hopes this helps please mark brainliest

The net pay amount for January would be $86,761.

Given the following information: Gross earnings in Vaughn Company were $114,000. All earnings are subject to 7.65% FICA taxes. Federal income tax withheld was $16,500, and state income tax withheld was $2,000.To calculate the net pay for January, first, we have to calculate the deductions:Gross earnings are:$114,000The FICA taxes for the earnings will be:7.65% of $114,000 = 0.0765 × $114,000 = $8,739State income tax withheld was $2,000Federal income tax withheld was $16,500Deductions are: 8,739 + 2,000 + 16,500 = $27,239The net pay amount for January would be:$114,000 - $27,239 = $86,761Answer: $86,761.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

Answer:

This is a function. Use y=mx+b equation

Step-by-step explanation:

To find the x and y values, simply plug in 0.98 to m. For every pound of peaches, you pay $0.98. The equation would be y=0.98x, where x is the number of pounds of peaches and y is the total cost.

Answer:

JN = 10 in

Step-by-step explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A = \(\frac{1}{2}\) × 7 × 6 = \(\frac{1}{2}\) × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in

(a) The inverse Laplace transform of \(X1(s) is x1(t) = 3e^(-2t) - 3e^(-4t)\).

(b) The inverse Laplace transform of X2(s) is\(x2(t) = 4e^(-t) - 8te^(-2t)\).

(c) The inverse Laplace transform of X3(s) is\(x3(t) = 3cos(t) + 9sin(t) + 12e^(-4t) - 3te^(-3t) - 6e^(-3t).\)

To obtain the inverse Laplace transform of each function, we first apply the partial-fraction-expansion method. This method involves decomposing the rational function into partial fractions with simpler forms, which can then be transformed back into the time domain using known Laplace transform pairs.

For X1(s), we factorize the denominator into (s+2)(s+4) and express X1(s) as A/(s+2) + B/(s+4). By solving for A and B, we obtain the partial fraction decomposition. Taking the inverse Laplace transform of each term, we get\(x1(t) = 3e^(-2t) - 3e^(-4t)\).

Similarly, for X2(s), we decompose the function into partial fractions as A/(s+1) + B/(s+2) + C/(s+2)^2. After solving for the coefficients A, B, and C, we can find the inverse Laplace transform of each term, resulting in \(x2(t) = 4e^(-t) - 8te^(-2t)\).

Lastly, for X3(s), we apply partial fraction expansion to the given function, leading to a decomposition of the form \(A/s + B/(s+4) + (Cs+D)/(s^2 + 6s + 9)\). By determining the coefficients A, B, C, and D, we can transform each term back to the time domain, giving x3(t) = \(3cos(t) + 9sin(t) + 12e^(-4t) - 3te^(-3t) - 6e^(-3t)\).

The partial-fraction-expansion method and inverse Laplace transforms to gain a deeper understanding of how to handle complex functions in the Laplace domain and obtain their corresponding time-domain representations.

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The required Finn swims at a speed of 1.6 m/s.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Speed = distance/time

As mentioned in the question Finn is swimming at a constant speed.
So,
Speed (6, 9.6) = Speed (14, 22.4) = Spee (22, 35.2)
9.6/6 = 22.4/14 = 35.2/22
1.6 m/s = 1.6 m/s = 1.6 m/s

Thus, the required, Finn swim with speed of 1.6 m/s.

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