There are 12 contestants in a coloring contest. Three ribbons will be awarded. How many different ways could the ribbons be awarded?

Answer:

There are 6 possible combinations

Step-by-step explanation:

the number of numbers (3)  times the other numbers (2)

Answer:

Hi there!

I got the answer: 88 units^2

Step-by-step explanation:

to find the area you the formula: A=(a+b)/2 times height

"a" in this case is 17 and "b" is 27 because 5+5+17 is 27

height is 4

then you plug what you know into the equation

(17+27)/2 times 4 to get 88

Answer:

The length of its diagonal is [tex]27.01\ m[/tex]

Step-by-step explanation:

Let

b------> the length side of the square

d-----> the diagonal of the square

we know that

The perimeter of the square is

[tex]P=4b[/tex]

[tex]P=76.4\ m[/tex]

Find the value of b

[tex]4b=76.4[/tex]

[tex]b=76.4/4=19.1\ m[/tex]

Applying the Pythagoras theorem find the length of the diagonal

[tex]d^{2}=19.1^{2}+19.1^{2}\\ \\d^{2}=729.62\\ \\ d=27.01\ m[/tex]

The length of the diagonal of a square is approximately 27.02m.

The perimeter of a square is the total length of all four sides of the square. Since we know that the perimeter is 76.4 meters, we can calculate the length of one side by dividing the perimeter by 4.

Length of one side = Perimeter ÷ 4 = 76.4m ÷ 4 = 19.1m.

To find the length of the diagonal, we can use the Pythagorean theorem for a square, which is a² + a² = diagonal². Here, a is the length of one side of the square. Thus, diagonal² = 2 × (19.1m)².

Diagonal = √(2 × (19.1m)²) = √(2 × 364.81m²) = √729.62m² = 27.02m (rounded to two decimal places).

Therefore, the length of the diagonal of the square is approximately 27.02 meters.

Answer:

School A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.

Step-by-step explanation:

We are given the following information:

School A points = 174

School B points = 102

Every correct answer is awarded 10 points and every incorrect answer reduces 6 points.

Let x be the number of correct answer given by school A and thus x is the number of  incorrect answer given by school A. The, school B also gives x number of correct answer.

Thus, the scored can be modeled with the following equations:

School A: [tex]174 + 10x - 6x = 174 + 4x[/tex]

School  B: [tex]102 + 10x[/tex]

Since, both the schools tied, equating both the equations:

[tex]174 + 4x = 102 + 10x\\\Rightarrow 10x - 4x = 174 -102\\\Rightarrow 6x = 72\\\Rightarrow x= 12[/tex]

Thus, school A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.

Answer:

C. 120 ft^3

Step-by-step explanation:

Area of rectangular prism is Length * Width * Height.

4 * 5 * 2 = 40

It was filled 3 times so multiply 40 by 30

40 * 30 = 120 ft^3

Hello there (:

1)) Is 3/10

2)) Is 1/2

I hope this helps ya ;)

Check the picture below.

so the triangular prism is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.

let's notice, the triangles have a base of 2.4 and a height/altitude of 1.

[tex]\bf \stackrel{\textit{2 triangles's area}}{2\left[ \cfrac{1}{2}(2.4)(1) \right]}~~+~~\stackrel{\textit{right rectangle}}{(2\cdot 1.5)}~~+~~\stackrel{\textit{left rectangle}}{(2\cdot 1.7)}~~+~~\stackrel{\textit{bottom rectangle}}{(2\cdot 2.4)} \\\\\\ 2.4+3+3.4+4.8\implies 5.4+8.2\implies 13.6[/tex]

Answer:

x = -6

Step-by-step explanation:

∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]

* These are two equivalent fractions

  we can solve by using cross-multiplication way

  that means we multiply x by 2 and multiply (x + 2) by 3

∴ 2(x) = 3(x + 2)

* Take care about the multiplication of 3(x + 2) you must

  multiply 3 by x and also multiply 3 by 2

∴ 2x = 3x + 6

* Now lets start to collect the like terms

∴ 2x - 3x = 6

∴ -x = 6

* Divide the both sides by -1

∴ x = -6

x = -3/2 (Or) x = -1.5

First apply the rule a/a = 1

2/2 = 1

x/3 = x +1

Multiply both sides by 3

(x/3 * 3) = (x * 3) + (1 * 3)

Simplify

x = 3x + 3

Subtract 3x from both sides

(x - 3x) = (3x + 3 - 3x)

Simplify

-2x = 3

Divide both sides by -2

(-2x / -2) = (3 / -2)

Simplify

x = -3/2

(Decimal: x = -1.5)

The answer is 192 square inches.

Answer:

192 square inches.

Step-by-step explanation:

Answer:

y = -3,-4

Step-by-step explanation:

Factor the equation, which gives you (y+3)(y+4)=0

Then, all you do is find the values that give the equation an answer of 0.

Since anything times 0 is 0, all you have to do is make one of the (y+x) values equal 0.

Since -3 and -4 added to 3 and 4 make 0 the answers are -3 and -4.

You can check by plugging it back into the equation or graphing it.

Answer:

w = 13/5

Step-by-step explanation:

The equation is : 5w-4=9

Then we add 4 to each side

5w = 13

Then we divide by 5

w = 13/5

Answer:

$1,953

Step-by-step explanation:

So, we need to figure out how many times the big warehouse is actually bigger than the small one, in order to calculate the air conditioner cost for the large warehouse.

Let's say x represents the dimensions of the small warehouse, and y represents the dimensions of the large warehouse.

We have y = 2.5x, for every dimension (length, width, height)

The formula to calculate the volume of a cubic space is the following:

volume = length * width * height

Now, we don't know the exact measurements involved, but we know the large warehouse is 2.5 times bigger in every dimension, so...

volume = 2.5x * 2.5x * 2.5x = 2.5³x³ = 15.625 x³

So, the larger warehouse is 15.625 times larger than the small one.  We then multiply that by the cost of cooling down the small warehouse:

cost for large warehouse = 15.625 * $125/month = $1,953.25

Rounded to the nearest dollar: $1,953

To find her speed, divide the total distance by the total time:

12.5 miles / 5 hours = 2.5 miles per hour.

Answer:

The solution in point form is (9,7) and the equation would be x+9, y=7

Step-by-step explanation:

By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.

With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.

Then you solve for y getting y=7.

With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)

Then you solve for x getting x=9

And with that you get the point (9,7)

Answer:

(12, 9)

Step-by-step explanation:

Please enclose fractions inside parentheses in cases such as this one.  You meant b = (3/4)a, not b = 3/(4a).

To solve this system, subst. (3/4)a for b in the 2nd equation, obtaining:

a + (3/4)a = 21.

Mult. all 3 terms by 4 to eliminate the fraction 3/4:

4a + 3a = 84

combining like terms:  7a = 84

Solving for a:  a = 84/7 = 12.

If a = 12, b = (3/4)a = (3/4)(12) = 9

The solution is (12, 9)

Answer:

a=12

b=9

Step-by-step explanation: Just did it on i-ready and got it right.

Step-by-step explanation:

if you put in the numbers twice ill just ignore that.

If 149 is 35less than the original cost, add 35 for the original cost

The original cost was 184 dollars

Answer:

184

Step-by-step explanation:

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

[tex]OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.[/tex]

Answer:

C

Step-by-step explanation:

Let's break down the definitions.

Supplementary = degrees add up to 180

Vertical = share a common vertex

Complementary = degrees add up to 90

Adjacent = share a common side and vertex

Since the degrees add up to 90 and don't share a common side/vertex, the angles are complementary.

Answer:

0.16111707

Step-by-step explanation:

I don’t not know the answer for this question sorry

Answer:

its is B.

Step-by-step explanation:

each separate net has a twin so you find out the area of each net and multiply each one by two

Answer:

Step-by-step explanation:

The cost will be 7$ per month

Best regards

Answer: The answer is D

Step-by-step explanation:

Each point on the house was divided by 2.

Answer:

D: (x,y) -> (2x, 2y)

Step-by-step explanation:

Take a look at the top of the roof, in the small house it is at (6,4) and in the big house it is at (12, 8).

To get from (6,4) to (12,8) you have to multiply x and y by 2.

You can test this with multiple points. Only the  (x,y) -> (2x, 2y) mapping works for all of them.

Answer:

Each piece of candy cost

$0.86

Step-by-step explanation:

Step one This problem bothers on well we can do and understand our division of numbers

Step two

Given that Jessica spent $8.60

To buy 10 pieces of candy

Step three

We can get the unit cost of each candy by simply divide the total amount spent by the total Candy purchased

Hence

A candy cost = 8.60/10

= $0.86

It was a cylinder shape

volume of cylinder is

[tex] = \pi {r}^{2} h[/tex]

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]

Answer

2484.11

Answer:

7/8 or 0.875 units^3

Step-by-step explanation:

The volume for a rectangular prism is l*w*h. What you must remember is that l*w can be rewritten as the base of the prism. Thusly, the volume formula can be reduced to B*h, where B is the area of the base. You are given the area of the base as 1/2, so just multiply 1/2 by 1&3/4 (I rewrote it as 7/4) to get 7/8.

Final answer:

The input value for an output of -4 for the function g(x) = 28/x - 7 is x = 28/3.

Explanation:

To find the input value for a given output value of a function, we need to set the function equal to the output value and solve for the variable. The student is asking for the input value that results in an output of -4 for the function g(x) = 28/x - 7. To solve for x, we follow these steps:

Set the function g(x) equal to -4: g(x) = -4.

Substitute g(x) with the function definition: -4 = 28/x - 7.

Isolate the term with x by adding 7 to both sides: -4 + 7 = 28/x.

Simplify the left side of the equation: 3 = 28/x.

To find x, multiply both sides by x and then divide by 3: x = 28/3.

Therefore, the input value for an output value of -4 for the function g(x) = 28/x - 7 is x = 28/3.

Step-by-step explanation:

2) Slope can be written as rise over run:

[tex]a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)[/tex]

3) Slope formula is: [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}[/tex]

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

   [tex]Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3[/tex]

b) when x = -2, y = 0 and when x = -1, y = 3

   [tex]Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3[/tex]

c) when x = 0, y = 0 and when x = 2, y = 0

   [tex]Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0[/tex]

Answer:

x < 5

Step-by-step explanation:

Solve the inequality by using the distributive property and inverse operations.

4(x + 5) > 10(x - 1)

4x + 20 > 10x - 10

20 > 10x - 4x - 10

20 > 6x - 10

20 + 10 > 6x

30 > 6x

5 > x

Answer:

2000+600+9+.75 maybe?

Step-by-step explanation:

Answer: Convex, heptagon, regular polygon

Answer:

Heptagon, Irregular Polygon, and Concave

Step-by-step explanation:

From The figure shown in the picture we can see that it has the following characteristics. These characteristics are the following

Based on these characteristics we can say that the figure meets all the requirements to be classified as Heptagon, Irregular Polygon, and Concave

Heptagon: are figures with 7 straight sides and 7 angles

Irregular Polygons: are polygons that can have sides of any length and each interior angle can be of different angles

Concave: are polygons that have one or more interior angles bigger than 180°

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