y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?

Answer:

[tex]H=\frac{V}{LW}[/tex]

see the explanation

Step-by-step explanation:

we know that

Using inverse operations, the  formula can be rearranged to solve for any one of the variables that might be  unknown.

we have

[tex]V=LWH[/tex]

The operation of multiplication is used in the formula

so

The inverse operation of division should be used to isolate the variable H

so

Divide both sides by LW

[tex]\frac{V}{LW}=\frac{LWH}{LW}[/tex]

simplify

[tex]H=\frac{V}{LW}[/tex]

Another way of writing  138 - (- 89) is 138 + 89 which is 227.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

We know negative distribution to a negative sign is positive.

The given expression is 138 - (- 89).

= 138 + 89.

= 227.

The sign distribution are (-, -) = +, (+, +) = +, (-, +) = -, (+, -) = -.

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Answer: 50

Step-by-step explanation:

Final answer:

The firm's economic profit is calculated by subtracting both explicit and implicit costs from the total revenues. Upon performing this calculation, we determine that the firm made an economic profit of $0 since the costs equaled the revenues.

Explanation:

To calculate the economic profit of the firm, we subtract both explicit (actual monetary payments) and implicit (opportunity) costs from the total revenues. The firm has $230,000 in revenues after taxes, $90,000 in production costs (explicit costs), and $140,000 in opportunity costs (implicit costs). Therefore, the calculation for economic profit is as follows:

Total Revenues - Explicit Costs - Implicit Costs = Economic Profit

$230,000 - $90,000 - $140,000 = $0

So, the firm did not make any economic profit, as the explicit and implicit costs equaled the total revenues.

Answer:

11679

Step-by-step explanation:

Increased by 229

First you need to find the 2%

So to find the 2%

2/100 * 11450=229

Now add 11450+229= 11679

Answer:

11,679

Step-by-step explanation:

Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679

Final answer:

The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.

Explanation:

To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.

Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.

Answer:

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Step-by-step explanation:

Let

x ----> amount earned by Josie

y ---> amount earned by her brother

we know that

[tex]\frac{x}{y}=\frac{5.50}{6.50}[/tex]

[tex]x=\frac{5.50}{6.50}y[/tex] ------> equation A

[tex]x+y=30.00[/tex] -----> equation B

Solve the system by substitution

Substitute equation A in equation B

[tex]\frac{5.50}{6.50}y+y=30.00[/tex]

solve for y

[tex]\frac{12.00}{6.50}y=30.00[/tex]

[tex]y=6.50(30.00)/12.00\\y=\$16.25[/tex]

Find the value of x

[tex]x=\frac{5.50}{6.50}(16.25)\\\\x=\$13.75[/tex]

therefore

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Answer:

Step-by-step explanation:

Given that For every $5.50 that Josie earns, her brother earns $6.50.

Tuesday, they earned $30.00

Using the ratio and the proportional

Josie : Sean : Total

 5.5  :   6.5   :  12

  x    :     y     :  30

So, x = 5.5 * 30/12 = 13.75

And y = 6.5 *30/12 = 16.25

So, Josie will earn $13.75  and her brother Sean will earn $16.25

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Answer:

Step-by-step explanation:

Answer:1/y^3

Step-by-step explanation:

y^(-5)/y^(-2)

(1/y^5)/(1/y^2)

(1/y^5)x(y^2/1)

(1 x y^2)/(1 x y^5)

(y^2)/(y^5)

(yxy)/(yxyxyxyxy)

1/y^3

Answer:

0.6

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.

Answer:

x=4

Step-by-step explanation:

substitute the value of y

5x+2(3x)=44

5x+6x=44

11x=44

divide both sides by 11

x=4

Answer:

11, 10, 9, 8

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is

12 - 1 = 11

12 - 2 = 10

12 - 3 = 9

12 - 4 = 8

The first 4 terms are 11, 10, 9, 8

The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.

The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.

For n = 1: 12 - 1 = 11

For n = 2: 12 - 2 = 10

For n = 3: 12 - 3 = 9

For n = 4: 12 - 4 = 8.

Therefore, the first four terms of the sequence are 11, 10, 9, and 8.

Answer:

12

It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle

Answer: 12

Step-by-step explanation:

15 is the hypotenuse (c), and 9 is one side (a)

a^2+b^2=c^2

1. Find Values of Squared Numbers: 81+b^2=225

2. Subtract 81 from 225: b^2=144

3. Find the square root of each side: b=12

Answer:

[tex]4 \frac{3}{6} = \frac{27}{6} [/tex]

The correct answer is B.

Answer:

opiton b

Step-by-step explanation:

To find out which equation satisfies h(x) we need to check with each option

We plug in x  value

A) h(–1.25) = –0.5

Plug in -1.25 for x  in h(x) = 16^x

That is not true

B) h(–0.5) = 0.25

Plug in -0.5 for x  

That is true.

C)  h(0.75) = 12

Plug in 0.75 for x  

That is not true.

D)  h(1.25) = 20

Plug in 1.25 for x  

That is not true

Answer:

It is the graph of F translated 3 units up and 7 units to the right

Step-by-step explanation:

this is for PLATO users

Answer:

angle of elevation=36°

Step-by-step explanation:

tan ~\theta=\frac{height}{base} =\frac{50}{68} =\frac{25}{34} \\\theta=tan^{-1}(\frac{25}{34}) \approx 36

Answer:

Step-by-step explanation:

3 and 7 - corresponding

2 and 7 - alt exterior

4 and 5 - alt interior

3 and 6 - alt interior

Answer:

3 and 7 are Corresponding Angles

2 and 7 are Alternate Exterior Angles

4 and 5 are Alternate Interior Angles

3 and 6 are Alternate Interior Angles

Step-by-step explanation

3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.

Answer:

#3   1/6, 1/6, 1/2, 1/3, 5/6.

#4   3/12, 4/12, 5/12, 8/12, 9/12

Step-by-step explanation:

#3 is numbers out of six (fractions).

#4 is the same thing.  You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.

These are all I know.

Answer:

[tex]50(5 - 3x)[/tex]

Step-by-step explanation:

The given expresion is

[tex]250 - 150x[/tex]

The greatest common factor is 50.

We rewrite using the distributive property to get;

[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:

[tex]50(5 - 3x)[/tex]

Therefore when we factor out the greatest common factor from the given expresion we get;

[tex]50(5 - 3x)[/tex]

To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).

To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).

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Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]

Answer:

No solution

Step-by-step explanation:

Answer:

36x+24=12(3x+2)

36x+24=12*3x+12*2

36x+24=36x+24

36x-36x=24-24

0=0

Have many solutions is the answer

Step-by-step explanation:

In every way I choose the  value of x this equation is true

Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.

To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:

[tex]P_{t} = P_0 (1 + r)^t[/tex]

Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).

Plugging in the values into the formula:

P(14) = 14,000 × (1 + 0.05)¹⁴

P(14) = 14,000  (1.05)¹⁴

P(14) = 14,000 1.9791

P(14) = 27,706.24

To the nearest whole number, the population after 14 years will be 27,706.

Answer:

A unique triangle

Step-by-step explanation:

12+7 > 14

12 + 14 > 7

7 + 14 > 12

By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)

Answer:

its 1,4,5 i just did the test

Step-by-step explanation: //

Answer:

1,4,5

Step-by-step explanation:

The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.

To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.

Let's first add up the scores from Steve's first four exams:

To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:

Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:

However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.

Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.

Answer: 8 7/9 + 4 1/8 = 929 /72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

Add: 79

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.

Answer: 12 65/72  

Step-by-step explanation:

1)  [tex]79/9+33/8[/tex]

Get your answer (as an improper fraction): [tex]929/72[/tex]

2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72

Answer:

each side is 55.125cm

Step-by-step explanation:

you have to divide the area by 2

then do 441/2=220.5

then divide this by 4 because a square has 4 equal sides so 220.5/4=55.125

Answer:

  63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

  y = m(x -x1) +y1

  y = -0.95(x -50) +48

We want to find the value of y for x=34.

  y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

The first 4 terms of sequences a) n + 5 and b) 2n - 1 are calculated, as well as the 10th term of each sequence.

For the sequence a) n + 5:

First 4 terms: 1 + 5 = 6, 2 + 5 = 7, 3 + 5 = 8, 4 + 5 = 9

10th term = 10 + 5 = 15

For the sequence b) 2n - 1:

First 4 terms: 2(1) - 1 = 1, 2(2) - 1 = 3, 2(3) - 1 = 5, 2(4) - 1 = 7

10th term = 2(10) - 1 = 19

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Answer: 85.101

Step-by-step explanation:

89.20 - 4.099

= 85.101

The exact value of y is [tex]4\sqrt{3}[/tex].

Solution:

The attached below shows how the formula is written.

Using geometric mean,

Total base length (p + q) = 8

q = 6

p = 8 – 6 = 2

Let us first find the height of the triangle.

[tex]h^2=pq[/tex]

[tex]h^2=2\times6[/tex]

[tex]h^2=12[/tex]

Taking square root on both sides,

[tex]h=\sqrt{12}[/tex]

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]y^2=(\sqrt{12})^2+6^2[/tex]

[tex]y^2=12+36[/tex]

[tex]y^2=48[/tex]

[tex]y=4\sqrt{3}[/tex]

The exact value of y is [tex]4\sqrt{3}[/tex].