how to do this equation y=2x-10 and 2y=x-8

Answer:

Slope: 3

Step-by-step explanation:

There are two ways to solve this, one is more algebraically, and one is more logically.

Algebraically:

When only a graph is available to us as a resource, we can use a method called rise-over-run, which looks like this [tex]\frac{y}{x}[/tex].

Now, we select 2 points on the graph that are real integer values, meaning they aren't decimals. I will use (3,-2) and (4,1)

When we use rise-over-run we subtract the y-values and the x-values from each over before dividing. [tex]\frac{1-(2)}{4-3} = 3/1=3[/tex]

Logically:

We can use something called a "slope triangle" to find the slope. We will connect the same 2 points mentioned before.

We will draw a triangle to the right of the two points. I will attach a screenshot.

Answer:

Step-by-step explanation:

8.2×10^9 ×4.5×10^{-5}=36.9×10^4

Answer:

its c 3.69x105

Step-by-step explanation:

Answer:

B) [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

First simplify the radical on the right.

[tex]\sqrt{75}[/tex] is equal to [tex]\sqrt{25} *\sqrt{3}[/tex] , because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.

Then we know [tex]\sqrt{25}[/tex] is just equal to 25, which means the simplified version of [tex]\sqrt{75}[/tex] is [tex]5\sqrt{3}[/tex].

Then we can use this new representation to finish solving.

[tex]8\sqrt{3}-5\sqrt{3} =3\sqrt{3}[/tex], so the answer would be B

Volume is the space occupied by an object. The volume of the globe is 268.0825 in³.

The volume of the sphere is given by the formula,

[tex]\text{Volume of Sphere}= \dfrac{4}{3} \pi r^3[/tex]

We know that the diameter of the globe is reduced to half, therefore, the diameter of the globe,

[tex]\rm \text{New Diameter of the globe} = \dfrac{Diameter}{2} = \dfrac{16}{2} = 8\ inches[/tex]

Also, the radius of the globe is half of its diameter,

[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{8}{2} = 4\ inches[/tex]

We know that the shape of a globe is spherical, also, we know the formula of the volume of the sphere, therefore, the volume of the globe can be written as,

[tex]\begin{aligned}\text{Volume of Globe}&= \dfrac{4}{3} \pi r^3\\\\& =\dfrac{4}{3} \pi (4)^3\\\\&=268.0825\rm\ in^3 \end{aligned}[/tex]

Hence, the volume of the globe is 268.0825 in³.

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Right circular cylinder has its height as the straight line connecting centers of its top and bottom circle. The volume of given cylinder is: 5889.95 cubic feet.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi \times r^2 \times h \: \rm unit^3[/tex]

For the given case, the considered right circular cylinder has these dimensions:

Its base diameter = 17.5 ft

Its height = 24.5 ft

Since radius is half of diameter, thus, radius of considered cylinder = 17.5/2 = 8.75 ft

Thus, using the formula for volume of right circular cylinder, we get:

[tex]V = \pi \times r^2 \times h \: \rm unit^3\\V \approx 3.14 \times (8.75)^2 \times (24.5) \approx 5889.95 \: \rm ft^3[/tex]

Hence, the volume of given cylinder is: 5889.95 cubic feet.

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Answer:

x=1 and y=4/5

Step-by-step explanation:

Given system of equations

3x+5y=7

5x+10y=13

Multiply first equation by 2

2(3x+5y)=2(7)

6x+10y=14

Eliminate y-variable to get "x"

 6x+10y=14

- 5x+10y=13

         x = 1

Substitute x=1 into either equation and find "y"

3x+5y=7

3(1)+5y=7

3+5y=7

5y=4

y=4/5

Therefore, x=1 and y=4/5

Answer:

the answer is A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

I think it is

Answer:

Earth to the Moon I think

Answer:

the answer  is 322

Step-by-step explanation:

Answer:

129.82

Step-by-step explanation:

I got the right answer

The cost to make the spinner is $132.50.

The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.

The area of each triangle is (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters.

The total area of the spinner is 2 * 5 = 10 square centimeters.

The cost to make the spinner is 10 * $13.25 = $132.50.

Rounded to the nearest cent, the cost is $132.51.

Here is the calculation:

Area of each triangle = (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters

Total area of the spinner = 2 * 5 = 10 square centimeters

Cost to make the spinner = 10 * $13.25 = $132.50

Rounded to the nearest cent, the cost is $132.51

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Answer:

There are 50 large boxes.

There are 65 small boxes

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

 "There are 115 boxes in all"    means    x + y = 115      [eq1]

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

So,pounds for large boxes     +    pounds for small boxes      =    4125 pounds"the truck is carrying a total of 4125 pounds in boxes"

        (50)*(x)                   +              (25)*(y)                  = 4125    [eq2]

It is important to find two equations so we can solve for two variables.

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:

   x = 115 - y          [from eq1]

 50(115-y) + 25y = 4125             [from eq2]

 5750 - 50y  + 25y = 4125           [distribute]

 5750 - 25y = 4125

 -25y = -1625

    y = 65   [divide both sides by (-25)]

  There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

  x = 115 - y

  x = 115 - 65

  x = 50

  There are 50 large boxes.

Answer: if you simplify this it becomes 30=28 but this is a false statement so you would say 30≠28

Step-by-step explanation:

≠ means not equal

Answer:

x<_5

Step-by-step explanation:

first collect the like terms

4x<_28-8

4x/4<_20/4

=x<_5

Answer:

11.6

Step-by-step explanation:

Divide the 23.20 by 2 to get 11.6 per fluid. So the answer is $11.6.

Hope this helped you out!!!

Answer:

$1.45 per fluid ounce

Step-by-step explanation:

There are 8 ounces in 1 cup

There are 16 ounces in 2 cups

Solve:

-Chetan K

Answer:

-1.555

Step-by-step explanation:

52/(-45)= -1.555555

Answer:

well i just worked it out and got -1.155556...

Step-by-step explanation: Sorry if this wasn't very helpful, i really did try though have an amazing day :D

Answer:

Point B

Step-by-step explanation:

f (-4) is finding -4 on the y axis. Point B is (2, -4), hence the reason why it is the answer.

cos 60 = 1/2

1/2 = 5/zy

1= 10/zy

zy=10

Answer: 27

Step-by-step explanation:

Convert 60% to a decimal

.60 * 45 = 27

Answer:

diameter =20 inches

radius = d÷ 2

=20 ÷2

r. = 10 inches.

Answer:

10 inches

Step-by-step explanation:

radius is half of the diameter and half of 20 is 10

Step-by-step explanation:

12 in long requires 96 pounds.

inversely proportional means that if I double the length of the handle, I need only half of the force.

so,

24 in long requires 48 pounds.

the product of both factors is constant for the system.

c = 12×96 = 1152 = 24×48 = ...

c is called "work". it is force times distance and usually expressed in joules.

(a)

so, the force is then work / distance.

force = 1152 / length

(b)

60 = 1152 / length

60 × length = 1152

length = 1152/60 = 288/15 = 96/5 = 19.2 in

the handle must be 19.2 in long to do the same work with 60 pounds of force (i.e. to loosen the bolt with 60 pounds of force).

i) less than

ii) greater than

iii) less than

iv) greater than

Step-by-step explanation:

do you need the calculations too?

Answer:

Perimeter= 20 inches

Step-by-step explanation:

since the perimeter of a plane figure is distance round the shape, we add all the sides in order to get 20inches.

Perimeter= 4+5+4+4+3= 20incjes. That's for the perimeter.

Then area, we divide the shape into two portions sides A and B.

We find the area of side A which is a rectangle so, the are = Length×Breadth..

= 4×5 = 29cm².Side B is a triangle so it's area will be

Answer:

Total Perimeter = 30 in

Total Area: 30 in²

Step-by-step explanation:

First, do the perimeter of the triangle.

Equation: side+side+base = 3 + 4 + 5 = 12

Next is the perimeter of the rectangle.

Equation: 2(length + width) = 2·(5 + 4) = 18

Then, add the two perimeters:

12 + 18 = 30 in (Total Perimeter = 30 in)

Next, do the area of the triangle.

Equation: height • base/2 = 4 · 5/2 = 10

Finally, the area of the rectangle.

Equation: width • length = 4 · 5 = 20

Then, add the two areas:

10 + 20 = 30 (Total Area: 30 in²)

Answer:

264 , 42

Step-by-step explanation:

The rate at which the ball drops from the height is an illustration of an geometric sequence

The height of the 9th bounce of the ball is 0.4 feet

The given parameters are:

Initial height, a = 4.75

Rate, r = 75%

Bounce, n = 9

The function that represents the height of the ball is:

[tex]H = ar^{n[/tex]

So, we have:

[tex]H = 4.75 * (75\%)^{9[/tex]

Evaluate

[tex]H = 0.4[/tex] --- approximated

Hence, the height of the 9th bounce of the ball is 0.4 feet

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Answer:

V=904.32 cubic centimeters

Step-by-step explanation:

V=4/3(Pi)x6^3

Answer:

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps! :D

Answer:

y=3x+10 is the answer. I hope it is