PLEASE HELP



Examine the system of equations.
-3x + y = 4,
-9x + 5y = -1
What is the solution?

Answer:

M divided by 22 = total number of gallons used for the trip (m/22)

Step-by-step explanation:

Let's identify what we know:

1) Niki's car can do 22 miles per gallon (mpg)

So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?

Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:

154/22 = number of gallons used

so, 154 is m!

m/22 = number of gallons used.

D is the correct answer! :)

Answer:

D.

m/22

Step-by-step explanation:

The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.

To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.

Given:

Cost function C(x) = 55x + 450

Revenue function R(x) = 80x

We can set up the inequality:

80x ≥ 55x + 450

To isolate x, we can subtract 55x from both sides:

80x - 55x ≥ 55x - 55x + 450

This simplifies to:

25x ≥ 450

Now, divide both sides by 25 to solve for x:

x ≥ 450 / 25

x ≥ 18

So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.

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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.

To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:

80x = 55x + 450

Solving for x gives us:

80x - 55x = 450

25x = 450

x = 450 / 25

x = 18

Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.

Answer:

Step-by-step explanation:

Equation 1

3x - 4y = 16

multiplying equation by 3

it becomes

9x - 12y = 48  ------------(A)

equation 2

2x + 3y = 5

multiplying equation by 4

8x + 12y = 20 -------------(B)

Now comparing equation A & B

17x = 68

x = 4

putting the value of x in equation 2

2(4) + 3y = 5

8 + 3y = 5

3y = -3

y = -1

So, solution is (4 , -1)

Answer:

The correct answer would be 8x - 12.

Step-by-step explanation:

2 ( -6 + 4z)

= (2) ( -6 + 4z)

= (2) ( -6) + (2) (4z)

= 12 + 8z

= 8z - 12

Hope this helps!

Answer:

Expanded answer: 8z - 12

OR

Factored answer: 4(2z - 3)

Step-by-step explanation:

Solve using the distributive property. This is when you multiply the number outside the brackets by each number inside the brackets.

2(-6 + 4z)

= (-6)(2) + (4z)(2)        Multiply each number by 2

= -12 + 8z        When you can, try not to start with a negative number.

= 8z - 12        This is the answer in expanded form

Refactored:

"8z" and "12" have a GCF (greatest common factor) of 4. Take out "4" from the expression to factor.

8z - 12

= 4( 8z/4 - 12/4 )        Divide each term by 4.

= 4(2z - 3)         This expression is equivalent when you need it fully factored.

Answer:

0.76

Step-by-step explanation:

Answer:

.76

Step-by-step explanation:

Just add them

Answer:

7900/100*80 = 6320

Step-by-step explanation:

In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.

To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:

1. Calculate the proportion (20%) as a decimal: 20% = 0.20.

2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:

Children = 7,900 * 0.20 = 1,580.

So, in a crowd of 7,900, there are 1,580 children.

This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.

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Answer:

90°

Step-by-step explanation:

supplementary angles, when added = 180°

so if one angle is 90°, then the other angle, its supplement, is 180 - 90 = 90°

Answer:

90°

Step-by-step explanation:

The supplement of an angle is what, when added to it, equals 180°.

So if we have 90°, we would subtract 90° from 180° to get 90°.

The supplement of 90° is 90°.

The complement of 85° is 5°, since they add up to equal 90° a right angle. So the complement of 90° is 0°

Answer:

The correct option is B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

The correct option is B. rotation 90° counterclockwise about the origin.

None of the other transformations result in ∆A'B'C in the third quadrant.

Answer:

B.  rotation 90° counterclockwise about the origin

Step-by-step explanation:

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation:

Answer:

a or b

Step-by-step explanation:

Final answer:

The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.

Explanation:

We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:

64 = k√4

Since the square root of 4 is 2, we get:

64 = 2k

Dividing both sides by 2, we find that k = 32, which is the constant of variation.

Answer: A

Step-by-step explanation: Acute and isosicles

Answer:

The answer is A. Hope I helped you! ;)))

Step-by-step explanation:

The triangle is acute and is isosceles.

Answer:

Susan has saved 20 Dollars so far

Step-by-step explanation:

x + 2x + 3x = 180°

6x = 180°

Therefore, x = 30°

2 x = 60°

3x = 90°

Hence, it is a right angled triangle.

Answer:

The triangle is right

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

30-60-90

The largest angle is 90 degrees which means that the triangle is right. (def of right triangle)

Answer:

x = -3

y = -5

(-3, -5)

Step-by-step explanation:

We can solve this system of equations by elimination. This is when you either add OR subtract the equations (depending on the situation) to eliminate one variable, allowing you to solve for the other. To do this, we need one variable with the same coefficient in BOTH equations.

9x - 4y = -7         X3=>     27x - 12y = -21        (New equation is still equivalent)

7x - 12y = 39

Both equations have negative "12y" in them. If you subtract - 12y from - 12y, you get 0, eliminating the variable. Subtract the two equations.

.    27x - 12y = -21         Subtract each term in the equation.

-      7x - 12y = 39         Keep equal signs aligned

.       20x - 0 = -60        'y' eliminated. -12y - (-12y) = 0

.             20x = -60        Isolate 'x'

.       20x/20 = -60/20        Divide both sides by 20

.                  x = -3        Solved for 'x'

Substitute 'x' for -3 in any equation.

9x - 4y = -7        

9(-3) - 4y = -7         Substitute. Simplify multiplication.

-27 - 4y = -7         Isolate 'y' now

-27 + 27 - 4y = -7  + 27        Add 27 on both sides

-4y = 20        Left side cancelled out 27, right side simplified by adding.

-4y/-4 = 20/-4        Divide both sides by -4

y = -5       Solved for 'y'

Therefore the solution is when 'x' is -3 (x = -3) and when 'y' = -5 (y = -5).

You can also write the solution as an ordered pair, like coordinates, which are written (x, y). The solution would be (-3, -5).

Answer:

m∠CBD = 60 degrees

Step-by-step explanation:

2x + 14 + x + 7 = 90       The equations equal 90

3x + 21 = 90                   Combine like terms

     - 21  - 21                    Subtract 21 from both sides

3x = 69                           Divide by 3 on both sides

x = 23

Plug 23 in the equation

2(23) + 14 = 60

Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.

Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.

So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.

Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.

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Answer:

24 cubic inches

Step-by-step explanation:

1 ft = 12 inches

convert all dimensions to inches

1/4 ft = 1/4 * 12= 3 inches

1/6 ft = 1/6 * 12 = 2 inches

1/3 ft = 1/3 * 12 = 4 inches

Volume of a box = L*W*H

= 3 * 2 * 4

= 24 cubic inches

Therefore 1/72 ft will be 1/72 * 12

= 1/6 inches

Answer:

The simplified fraction form of 15% is 320

Answer:

-3

explanation:

3/4 times negative 4 = -3

Answer:

-3

Explanation:

.75 * -4 = -3

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]

Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and

[tex]$ (x_2, y_2) = (8, 5) $[/tex]

Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]

[tex]$ = \sqrt{6^2 + 8^2} $[/tex]

[tex]$ = \sqrt{36 + 64} $[/tex]

[tex]$ = \sqrt{100} $[/tex]

= 10 units.

Hence, the answer.

Answer:

Baseball

Step-by-step explanation:

There are 30 people in total who voted in survey

9 Soccer

7 Basketball

5 Tennis

3 Hockey

6 Baseball

If 30 represents 100% of them then we divide 30 by 100 then multiply by 20

30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.

Answer: [tex]0.44 mi/min[/tex]

Step-by-step explanation:

We are asked to find the "skydiver's average change  of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:

[tex]V=\frac{\Delta d}{\Delta t}[/tex]

Where:

[tex]V[/tex] is the skydiver's velocity

[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended

[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance

Solving:

[tex]V=\frac{0.66 mi}{1.5 min}[/tex]

[tex]V=0.44 mi/min[/tex] This is the skydiver's average change  of altitude per minute

Find it by multiplying 40 by 1/5.

1/5 is the same thing as .2, by the way. You can use whichever one, whichever one is easiest for you.

1/5(40)=

1 * 40=   40

5 * 1=      5

40 divided by 5 is 8.

The answer is 8. One fifth of the class is 8 students.

Hope this helps!

Answer:

Step-by-step explanation:

Domain = {-9,5,6,-4,3}

Range= {3,1,9,7,2}

Domain is x value and range is y value

The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.

The domain of a function is the values of variable that is entered in a function.

The range of the function is the value that is coming out from solving a function.

We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.

Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.

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Step-by-step explanation:

Let r be the radius of the circle

The area of a circle is  A = pi * r^2

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 *pi *(7)

C = 14*pi   cm

pi=22/7

C=14*22/7=2.22=44 inches

so,C =44 inches

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

Answer:

10

Step-by-step explanation:

plug the 3 in and multiply it by the 4. subtract the 2 and thats it!

answer: 137%

to convert from decimal to percent, you multiply the decimal by 100.

Answer: 137%

Step-by-step explanation:

100% is equal to 1. Therefore, 1.37 is equal to 137% if you move the decimal point correctly. Multiplying by 100 is also another way to do it.