What does 1/3 represent for the picture below?

Answer:

x+90°+130°=360°

x+220°=360°

x=360°-220°

x=140°

Answer:

Let's define the variables:

x = number of small boxes bought.

y = number of large boxes bought.

Then the total number of granola bars is:

x*6 + y*24

We also know that "The camp bought 4 times as many small boxes as large boxes"

Then:

x = 4*y

and "...which altogether had 96 granola bars."

The total number of granola bars is 96, then:

x*6 + y*24 = 96

Then the system of equations is:

x = 4*y

x*6 + y*24 = 96

We want to solve this graphically.

Then we first need to isolate the same variable in both equations.

We can see that in the first one x is already isolated, so let's isolate x in the second equation:

x*6 = 96 - y*24

x = (96 - y*24)/6

x = 16 - y*4

Now we have the equations:

x = 4*y

x = 16 - y*4

To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.

The point where the lines intersect is the solution of the system.

The graph can be seen below.

We can see that the lines do intersect at the point (2, 8)

This means that the camp bought 2 large boxes and 8 small boxes.

Answer:

2

Step-by-step explanation:

first use order of operations.

1/2(4^2)-6

1/2*16-6

then simplify to get:

8-6=2

Answer: 2

Step-by-step explanation:

The question is asking you to substitute the b with 4 and find the solution to the expression.

[tex]\frac{1}{2}b^{2} -6[/tex]

[tex]=\frac{1}{2}(4)^{2} -6[/tex]

[tex]=\frac{1}{2}(16) -6[/tex] (PEMDAS so you do the exponent first)

[tex]=8 -6[/tex] (PEMDAS so you do the multiplication first)

[tex]=2[/tex]

Answer:

False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

Answer:

∠ B = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for ∠ B

∠ B = 180° - (90 + 42)° = 180° - 132° = 48°

Answer:

Step-by-step explanation:

Answer:

MEEEEEEEEEEEEEE!!!

Answer:

0.1666...

Step by step explanation:

By using long division (with 6 as the divisor) the number sentence would keep on going with 40-36.

0.166666666

1.000000000

− 0                  

 10                

−  6                

  40              

 −36              

   40            

   −36            

       40          

     − 36          

         40        

       − 36        

           40      

         − 36      

             40    

           − 36    

               40  

             − 36  

                 40

               − 36

Answer:

Number of cubes = 8 large and 32 small, or 40 total

Step-by-step explanation:

each layer = 2 large and 8 small cuboids.

each layer = 128 cm³

512/128 = 4 layers

so:

4 x 2 = 8 large cuboids

4 x 8 = 32 small cuboids

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

Step-by-step explanation:

Volume=base area * height

=πr^2h

22/7 * 10^2 *11

=3457.1cm3

Answer:

The volume of a cylinder with a diameter of 10 inches and height of 20 inches is 1,570.8 cubic inches.

Answer: g-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is the correct answer

Answer:

E. 16

Step-by-step explanation:

Easy:

Formula: P=2(l+w)

Plug in and solve:

P=2(3+5)

P = 16 (Option E is correct)

Answer:

-3.5

all u have to do is get the 2 and the 7 and just subtract and the 8 and 10

The center of the circle is point: C=(−2,−7).

Answer:

60 because I added all of them

Answer:

pt B: (-1, -8)

Step-by-step explanation:

(x - 7)/2 = -4

x - 7 = -8

x = -1

(y-6)/2 = -7

y - 6 = -14

y = -8

Answer:

I think it's 21. .........

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

Answer:

b

Step-by-step explanation:

oi did the quiz f. 6373737

Answer:

i think the answer would be A

Answer:

To find the no. of baskets used to put 390 apples we have to divide 390/22  which is 17.7272727273,

so to put 390 apples we need approximately 18 baskets.

hope this answer helps you...

Answer:

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Step-by-step explanation:

Let be the initial volumes of the initial cans represented by these expressions:

[tex]V_{1} = (8\cdot x^{3}+31\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (1)

[tex]V_{2} = (10\cdot x^{3}+17\cdot x^{2})\cdot \pi[/tex] (2)

The resulting volume of the paint can is the sum of the two functions:

[tex]V_{3} = (18\cdot x^{3}+48\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (3)

Then, we proceed to factor the polynomial:

[tex]V_{3} = 2\cdot (9\cdot x^{2}+24\cdot x +16)\cdot x \cdot \pi[/tex]

[tex]V_{3} = \pi\cdot (9\cdot x^{2}+24\cdot x + 16)\cdot (2\cdot x)[/tex] (3b)

By direct comparison with the volume formula for the cylinder we have the following expressions:

[tex]r^{2} = 9\cdot x^{2}+24\cdot x + 16[/tex]

[tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex]

[tex]h = 2\cdot x[/tex]

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Answer:

79.7°

Step-by-step explanation:

We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph.  We now add both horizontal components to get the resultant horizontal component of the airplane's speed.

So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.

The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph

The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)

Ф = tan⁻¹(289.778 mph/52.646 mph)

Ф = tan⁻¹(5.5043)

Ф = 79.7°

Answer:

Surface Area: 848.23

Volume: 1727.88

Step-by-step explanation:

I know dis im in 8th grade iz ez!

Answer:

$360

Step-by-step explanation:

Find 3% of 500 = 15

Multiply 15 by 24 = 360

Answer:

140

Explanation: cause -180 + 40 = -140 (but absolute value is 140)