4. What is the solution to the inequality
below?
2x + 10 < 40
A x< 10
CX > 10
B x < 15
D x> 15

Answer:

x<_5

Step-by-step explanation:

first collect the like terms

4x<_28-8

4x/4<_20/4

=x<_5

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:

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:

264 , 42

Step-by-step explanation:

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:

5c^2+2cd−2d^2− 15

Step-by-step explanation:

this is as simplified as it gets

Hope this helps! :)

Answer:

[tex]5c^2+2cd-2d^2-15[/tex]

Step-by-step explanation:

Perimeter of a 2D shape = distance around the outside.

Therefore, to calculate the perimeter, sum the lengths of all the sides.

[tex]\textsf{perimeter} \ =(4c^2+4cd+12)+(c^2-d^2+1)+(3cd+4d^2-30)+(-5d^2-5cd+2)[/tex]

[tex]=4c^2+4cd+12+c^2-d^2+1+3cd+4d^2-30-5d^2-5cd+2[/tex]

[tex]=4c^2+c^2+4cd+3cd-5cd+4d^2-d^2-5d^2+12+1-30+2[/tex]

[tex]=5c^2+2cd-2d^2-15[/tex]

Answer:

V=904.32 cubic centimeters

Step-by-step explanation:

V=4/3(Pi)x6^3

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:

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:

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: 27

Step-by-step explanation:

Convert 60% to a decimal

.60 * 45 = 27

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.

Answer:

-3

Step-by-step explanation:

y = 4x - 3

this equation is put in slope intercept form

y = mx + b

where m = slope and b = y intercept.

we want to find the y intercept

-3 takes the spot of b therefore the y intercept is -3

Answer:

the answer  is 322

Step-by-step explanation:

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:

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

Answer:

Isosceles triangle

62 + 62 + x = 180

124 + x = 180

-124        -124

x = 56 degrees

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.

Learn more about volume of cylinder here:

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Answer:

Earth to the Moon I think

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

same.......

i guess......

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.

cos 60 = 1/2

1/2 = 5/zy

1= 10/zy

zy=10

Answer:

>

Step-by-step explanation:

|-4| = 4

-|4| = -4 as the absolute value is applied first, then the number becomes negative because of the minus sine.

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.

Learn more about Volume of the sphere:

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Answer:

Step-by-step explanation:

For a 2 by 2 matrix,

      This is the formula for a 2 by 2 matrix determinant.

For a 3 by 3 matrix, the formula is

For 4 by 4 matrices, and higher, i suggest you use a calculator.