Find the surface area of this triangular prism

Answer:

The ratio of red to blue would be 60: 6 which can be simplified to 10:1.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1

Ratio is the comparison of two quantities in terms of same units.

Example : If a & b be two numbers, then the ratio is a/b, where b≠0

Let Blue counters = x

Red counters would be = 3 times of blue counters = 3x

There are a total of 120 counters in a box.

First we have to find, the number of red and the number of blue counters:

3x + x = 120

⇒ 4x = 120

⇒ x = 120/4

⇒ x = 30

There are 30 blue counters.

Red counters = 3×30 = 90

Carl took 1/3 of the red, 90 / 3 = 30, so there were 60 red counters left in the box.

Kerry took 80% of the blue, 30 * 0.80 = 24, so there were 6 blue counters left in the box.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1.

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Answer:

3525.08

Step-by-step explanation:

Answer: #1) y=5x-73

#2) y= 2/5x - 47/5

Step-by-step explanation:

Answer:

136 m²

Step-by-step explanation:

Bottom: 6x7=42

Sides: 5x7x2=70

Triangles: 2x1/2x6x4=24

42+70+24=136

Answer:

The answer is B- 531^2

Step-by-step explanation:

l m f a o

your

pfp

The solution is, the area of the following figure is 360 in^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

For this case we have that by definition, the area of a rectangle is given by:

A = l*w

In this case, the rectangle is 18 in side, & 21 in.

then:

A = 18*21

   = 378

On the other hand, the area of a triangle is given by:

A = 1/2 b * h

Where:

b: It is the base of the triangle

h: It is the height

We have according to the figure that:

b = 21 - 17 = 4

h = 18 - 9 = 9

So:

A = 1/2 *4 *9

   =18

Finally, the area of the figure is:

378 - 18

=360

Answer: The solution is, the area of the following figure is 360 in^2.

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Answer:

true

Step-by-step explanation:

its actually false

True, A combination of numbers and operations is called formula.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A combination of numbers and operations is called formula.

Now, We know that;

The formula is made by the combination of numbers and operations.

Let an example of a formula as;

⇒ (a + b)² = a² + 2ab + b²

Hence, We get;

The above formula is made by the combination of numbers and operations.

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Answer:

x = 20

F = 46

Step-by-step explanation:

For x :

( 20 )  * 2 = 40

40 + 3 = 43

For degrees F

Add triangles have a angle sum of 180

So you just subtract 180 by the angles in the triangle

180 - 91 = 89

89 - 43 = 46

46 is remaining so it is the missing degrees ( F )

Answer: D

(5/4) (1/6) 4^ (5/6)

Step-by-step explanation: I’m taking the test for this unit and I got it wrong but this was the CORRECT answer.

The probability that exactly 4 of the 5 dice land showing a "1" if, Tomer is playing a game that involves rolling 5 6-sided dice at once is 5 / 4 × (1 / 6)⁴ × (5 / 6), so option D is correct.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

Tomer is playing a game that involves rolling 5 6-sided dice at once,

Calculate the probability that exactly 4 of the 5 dice land showing a "1" as shown below,

Probability = 5 / 4 (1 / 6)⁴ × (5 / 6)⁵⁻⁴

Probability = 5 / 4 × (1 / 6)⁴ × (5 / 6)¹

Probability = 5 / 4 × (1 / 6)⁴ × (5 / 6)

Thus, the probability that exactly 4 of the 5 dice land showing a "1" is 5 / 4 × (1 / 6)⁴ × (5 / 6).

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Answer:

the A of the shaded figure is 108.2

Answer:

-2x - 4

Step-by-step explanation:

Is your expression

-2 x x = -2x

-2 x 2 = 4

therefore, your expression would be:

-2x - 4

Answer:

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

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

5 (x5) = 25... 6 (x5) = 30

Answer:

d

Step-by-step explanation:

Answer:

49 entre 3=16.33

la mitad de 49=24.5

Step-by-step explanation:

Answers:

9) 16/100 = 8/50 = 4/25

10) >

Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]

Distrubute -3 into the parentheses

[tex]-12x+12=-15x-24[/tex]

Subtract both sides by 12

[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]

Add 15x to both sides

[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

[tex]10=16x+2[/tex]

Subtract both sides by 2

[tex]10-2=16x+2-2\\8=16x[/tex]

Divide both sides by 16

[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]

I hope this helps!

Answer:

Ratio [Model : Actual] = 1:16

Step-by-step explanation:

Given:

Height of model = [tex]2\frac{1}{2}[/tex] inches = 5/2 inches = 2.5 inches

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Find:

Ratio [Model : Actual]

Computation:

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Height of actual status = [10 / 3] x 12

Height of actual status = 40 inches

Ratio [Model : Actual] = 2.5 / 40

Ratio [Model : Actual] = 1:16

Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas

Answer:

Step-by-step explanation:

3-9 happy to help :)

Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           [tex]a-(-b)=a+b[/tex]

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            [tex]7+3=7-(-3)[/tex]

Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

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First, determine the greatest common factor between the numbers.

Remember, the greatest common factor is just the largest

factor that divides evenly into the two numbers.

In this case, 4 is the largest number so the GCF of our numbers is 4.

For the variables, however, we use the smallest power.

Since we have an x and an x², we use an x.

So our GCF is 4x.

Answer:

$85.50

Step-by-step explanation:

57 * .5 = 28.5

28.5 + 57 = 85.5

therefore, the answer would be $85.50

Answer:

85.5

Step-by-step explanation:

Answer:

Hmmm... There's no question which leads to the reasoning that there is no answer.

Step-by-step explanation:

Answer:

a. perimeter is 112

b. area is 784

Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)