Chloe's camera is also capable of snapping 3 pictures per second. How many pictures can be snapped within a 36-second period? (hint: set up your ratio first)

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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Answer:

12

Step-by-step explanation:

20-8=12

ang = 75/360 x 2pi = 5/12 x pi

L = r x ang = 25/12 x pi

r = 5

The simplified expression of log_3+log_5+log_2 32 is 5log_3(20) by properties of logarithms

Using the logarithmic identity that states log (a × b) = log a + log b

we can simplify the expression as follows:

log_3+log_5+log_2 32 = log_3(2⁵) + log_5(2⁵) + log_2(2⁵)

= 5log_3(2) + 5log_5(2) + 5log_2(2)

= 5(log_3(2) + log_5(2) + log_2(2))

using the property that log_b(a) + log_b(c) = log_b(a × c)

= 5(log_3(2 × 5× 2))

= 5(log_3(20))

Therefore, the simplified expression is 5log_3(20).

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The surface area of the triangular prism is 608 cm².

Given,

base of triangle = 12 cm

height of triangle = 8 cm

length of triangle = 10 + 10 + 12 = 32 cm

Width of the triangle = 16 cm

Area of the rectangle = l x b = 32 x 16 = 512 cm²

Area of triangle = 1/2 x 12 x 8 = 48 cm²

There are 2 triangle, so 48 + 48 = 96 cm²

Add all these values, 512 + 96 = 608 cm²

∴The surface area of triangular prism = 608 cm²

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The sum of the surfaces of the five faces of a triangular prism is its surface area.

Having two triangular bases and three rectangular sides, a triangular prism is a type of polyhedron. It is a three-dimensional object with two base faces and three side faces that are joined by edges.

There are 6 vertices, 5 edges, and 5 faces on it. The other 3 faces have a rectangle-like shape, while the 2 bases are structured like a triangle. Camping tents, chocolate candies, roofs, etc. are a few instances of triangular prisms in the real world.

A solid object called a prism has plane faces enclosing each of its four sides. Faces in a prism come in two different varieties. Bases are used to describe the top and bottom faces, which are identical.

12 cm is the triangle's base.

triangle's height is 8 cm.

Triangle's length is 32 cm (10 + 10 + 10 cm).

Triangle width is 16 cm.

The rectangle's area is 512 cm2 (l x b = 32 x 16).

Triangle area equals 1/2 x 12 x 8 = 48 cm2.

Two triangles are present, therefore 48 + 48 = 96 cm2.

512 + 96 = 608 cm2 after adding all these values.

The triangular prism's surface area is 608 cm2.

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Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

B=49

Step-by-step explanation:

multiply means add powers

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

A is the correct answer

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

  178 more boys at Barlow  School

Step-by-step explanation:

At Barlow, there are ...

  (4/9)(873) = 388 . . . . boys

At Willow, 1 -2/3 = 1/3 of the students are boys.

  (1/3)(630) = 210 . . . . boys

There are 388 -210 = 178 more boys at Barlow School.

_____

Additional comment

Strictly speaking a question like this is not "politically correct," as it requires you to assume binary gender identification. Knowing the number of students and the number of girls does not mean we know the number of boys in the real world.

Answer:

\(\frac{24}{20}= \frac{120}{100}\)

Step-by-step explanation:

120/100 * x = 24

1.2 * x = 24

x = 20

24 is 120% of 20

The answer missing blanks to your problems are \(\frac{24}{20}= \frac{120}{100} \\\)

Hope this helps :)

Have a nice day!

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

5.5×5.5=30.5

we rounded 30.25 in nearest tenth it becomes 30

Answer:

C.] 5.5

Step-by-step explanation:

It is mentioned that the number was multiplied by the number itself.

Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:

x × x = 30

\(x^{2}\) = 30

x = \(\sqrt{30}\)

x = 5.47 = 5.5 (to the nearest tenth)

Answer:

35/3 yd

Step-by-step explanation:

first convert the hypotenuse into 37/3, then you can write (37/3)^2-(4)^2=a^2. solve to get 35/3

Answer:

1/4 < 4/12 < 3/8 < 4/9  < 3/6

Step-by-step explanation:

BRAINLIEST?

HMM... YEAH.

Answer:

A Translation 2 units left and 1 unit down

Step-by-step explanation:

The mean monthly rainfall is 3.245 inches.

For a set of N numbers {x₁, x₂, ...}, the mean of these N numbers is:

M = {x₁ + x₂ + ...}/N

Here we want to find the mean of the rainfall in inches, then we just need to add the 12 values in the table and then divide by 12, we will get:

M = (2.22+1.51+1.86+2.06+3.48+4.57+ 3.27 + 5.40 + 5.45 + 4.34+2.64+ 2.14)/12

M = 3.245

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Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

Answer:

There is no mode

Step-by-step explanation:

Mode is the most occurring no. and there's no number which is the most occurring.

Answer:

No mode

Step-by-step explanation:

In a set of numbers, mode is the most repeated number.

1, 4, 24, 14, 98, 37

There are no repeated numbers in this set.

Answer:

12 (the third one is the greatest common factor of 120 and 84)

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

Answer:2

Step-by-step explanation:I DONT REALLY GIVE A THING I NEED POINTS.

Answer:

11/ and 3 and 1

Step-by-step explanation:

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: \(2^{5}\)

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just \(2^{5}\).

A common mistake in this problem would

be for students to say that  2³ · 2² is \(4^{5}\).

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.