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Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

2x-4y=10

4x-4y=4

distribute first equation by -2 to eliminate x-values:

 -4x + 8y = -20

+ 4x - 4y = 4

4y = -16

y = -4

solve for 'x':

2x - 4(-4) = 10

2x + 16 = 10

2x = -6

x = -3

The solution for the given system of equations is x = -3 and y = -4.

A linear equation is defined as an equation in which the highest power of the variable is always one.

This is a system of linear equations in two variables, x and y.

The first equation is:

2x - 4y = 10

The second equation is:

4x - 4y = 4

You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.

From the first equation:

2x - 4y = 10

2x = 4y + 10

x = 2y + 5

Substitute this expression of x in the second equation,

4(2y+5) - 4y = 4

8y + 20 - 4y = 4

4y = -16

y = - 4

Now, substitute this value of y in x = 2y + 5

x = 2 × -4 + 5

x = - 3

Hence, the solution for the system of equations is x = -3 and y = -4.

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Answer:

Step-by-step explanation:

I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!

The volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,

[tex]V=\frac{4}{3}\pi(10)^3[/tex] so

V = 1333.33π inches cubed

If the diameter is 10 and the radius is 5:

[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is

V = 166.67π inches cubed

an isotope is an atom with a different number of____neutrons____ ,than a normal atom

Answer:

hggh

Step-by-step explanation:bmv,g,vg,cvbbgfghvc

It's 100 ... ... ... ... ...

Answer:  2x(x+1)

Step-by-step explanation:

F(x) + G(x) =2x^2+1+2x-1

                 =2x^2+2x

                =2x(x+1)

Answer:

6x

Step-by-step explanation:

i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1

with that into consideration we can simplify f(x)

f(x) = 2x*2+1

= 4x+1

question -> f(x) + g(x)

= (4x+1) + (2x -1)

1 and -1 can get cancelled and 4x + 2x = 6x

thus the answer is 6x

9514 1404 393

Answer:

  30

Step-by-step explanation:

The total price for x employees will be ...

  p(x) = {1000x for x ≤ 25; x(1000 -20(x -25)) for 25 < x ≤ 40; 700x for 40 < x}

We want p(x) = 27000.

We can check the value of x for the three different functions to see if it is in the specified domain.

  1000x = 27000   ⇒   x = 27 (not in the domain of the first segment)

__

  x(1000 -20(x -25)) = 27000

  20x(75 -x) = 27000 . . . . . collect terms, factor

  (x -37.5)^2 = -1350 +1406.25 . . . . . complete the squre

  x = 37.5 ±√56.25 = 37.5 ±7.5 = {30, 45}

  x =  30 is in the domain; x = 45 is not

__

  700x = 27000

  x ≈ 38.57 (not in the domain of the last segment)

__

So, the piecewise cost function will give a total cost of $27000 when the number of employees going for the trip is 30.

Answer:

answer

I think it's 40...

[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]

Answer:

y = x - 2. Notice that option A and B are same.

Step-by-step explanation:

Two points on the given line are (3, 1) and (-2, -4).

Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1

Using y - y1 = m(x - x1) :

=> y - 1 = 1(x - 3)

=> y - 1 = x - 3

=> y = x - 2

Answer:

12

Step-by-step explanation:

michael Jackson

Answer

10.5

Step-by-step explanation:

to find volume is WxLxH. revurse it and divide volume by width and length to find height

Answer:

A) The algebraic expression

= 12x + 7 = 91

B) He drives 7 miles per day

Step-by-step explanation:

For 11 days straight, Mike drove the same distance every day going to and coming from work.

Step 1

We are told : Mike drives 91 miles in total in those 12 days,

On the 12th day, he drove an extra 7 miles.

Hence:

91 miles - 7 extra miles

= 84 miles

Step 2

The number of miles he drives per day:

84 miles/12

= 7 miles per day

Step 3

The expression we can use to find the distance he travels each day going to and from work is written as:

Let the number of miles he travels be day = x

12x + 7 = 91 miles

12x + 7 = 91

12x = 91 - 7

12x = 84

x = 84/12

x = 7 miles per day

Answer:    C(t) = 8 + 7t

Step-by-step explanation:  15 for first hour.  15 is constant and every hour after that is counted (t-1)·7, so  15 + 7(t-1) = 15 +7t - 7 = 8 + 7 t .

So when t = 1  C(1)  = 15

Elite parking charges cost $15 for the first hour and then $7 for each additional hour then the equation for this will be C = $15 + $7(t).

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the statement mentioned in the question,

Elite parking charges $15 for the first hour which is a constant value.

An additional charge is $7 for every extra hour.

So, the equation according to this is,

C = $15 + $7(t).

Here, C is the total cost and t is the number of hours of car parking, if the number of hours will increase the cost will also increase.

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Answer:

Button #4. The last button. 8p = t.

Step-by-step explanation:

This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.

Answer:

No solution

Step-by-step explanation:

The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.

Answer:

y = 4/3x - 3

Step-by-step explanation:

Use this formula to find the slope first.

(y2 - y1) / (x2 - x1)

(x2, y2) --> (-3, -7)

(x1, y1) ---> (3, 1)

Now plug in:

(-7 - 1) / (-3 - 3)  =  -8 / -6  =  4/3

Now find the y intercept by plugging any points to y= 4/3x + b

I will use (3, 1).

1 = 4/3(3) + b  

1 = 4 + b  (subtract 4 on both sides)

-3 = b

So the formula is

y = 4/3x - 3

Answer:

Step-by-step explanation:

C

The area of the circular shaped pizza is A = 254.5 cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the pizza be r = 9 cm

The area A of a circle with radius r is given by the formula:

A = πr²

Substituting the given radius of 9 cm, we get:

A = π(9 cm)²

A = π(81 cm²)

A ≈ 254.47 cm²

Rounding to one decimal place, we get:

A ≈ 254.5 cm²

Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²

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Answer:

50% chance

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Take a breath :) . I've got your back.

If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.

7 of 21 were catfish.

If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?

Ratios are 7:21 and x:54, but we'll write them as fractions:

7/21 = x/54

Then cross multiply:

21x = (54)(7)

21x = 378

divide both sides by 21

x = 18

If she catches 54 fish total, we predict she will catch 18 catfish.

---------------------------------------------

If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.

Answer:

3/4 or 75%

Step-by-step explanation:

Let's 1st find the cards that can be chosen.

3 and 5 are odd and 2 is also a divisor of 10.

These are 3 cards so 3/4 is 75% chance you will get a card that is odd or a divisor of 10.

Answer:

10^3 = 1000

1000 x 3 = 3,000

3,000 x 4/3 = 4,000 cm^3 is your answer.

Step-by-step explanation:

Volume formula of sphere:

4/3 x pi(3.14 or 22/7 OR 3 like they said, depending on what they tell you to use for pi) x R(radius, half of your diameter or given radius)^3(to the power of 3)

4/3 x pi x radius being cubed

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

Answer:

a)5

b)8

c)7

Step-by-step explanation:

Hope this helps

Answer:

1:9

Step-by-step explanation:

~Refer to the attachment for the solution.

Answer:

t=75

h=19

x=9

s=6

Your welcome (:

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.