. Communicate and Justify Rafael's
mom buys 6 packages of water balloons
for a party Each package has 24 water
balloons Rafael says that there are 204
water balloons in all. Do you agree with
Rafael? Why or why not?PLEASE HELP:(

Answer:

C

Step-by-step explanation:

what is the greatest common factor of 72 and 54 ?

in other words, what is the biggest number that divides both numbers without remainder ?

I use a prime factor analysis (identify all the prime factors).

72 :

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 2 no

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

72 = 2⁴×3²

54 :

54 ÷ 2 = 27

27 ÷ 2 no

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

54 = 2×3³

the largest number that can divide them both without remainder is the combination of the prime factors they have in common :

2 × 3² = 18

Answer: your answer is 1 and 1/2

Step-by-step explanation:

True

The three internal angles of a 3-4-5 right triangle are 36.87 °, 53.13 °, and 90 °. As a result, a 3 4 5 right triangle is a scalene triangle since the lengths and internal angles of all three sides differ.

Remember that a 3-4-5 triangle does not necessarily imply that the ratios are 3: 4: 5; it might be any common component of these numbers. A 3-4-5 triangle, for example, can alternatively adopt the following shapes:

They can have varying dimensions, but the 3-4-5 right triangle is the most popular.

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Answer:?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Looking at the graphs we can state that:

A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.

B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.

C) Is a function as each x-value has a unique y-value:

D)  Is a function as each x-value has a unique y-value:

Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same.  The difference is that;

The term mental math refers to the method of completing mathematical calculations without the use of calculator or pen and paper. This is actual solving a mathematical problem and not memorizing answers. It is a quality one learns over time after understanding how to solve the problem.

Mental math covers addition subtraction and other mathematical solution methods. It is used to make calculations simpler and fairly easier.

This is a number that is not expressed as fraction or decimals. examples of whole numbers are 2, 5, 17, 200, -85 and so on. addition of such numbers can be done with mental math.

Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that: Money addition is always in base ten and the unit is always same with the unit of the particular currency used. However whole numbers may occur is units outside the unit of money and in other number bases that is not base ten

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Step-by-step explanation:

Is true, even if we are not given the truth values of q, r and s.

Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering that each feet has 12 inches, the parameters are given as follows:

[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]

Hence the z-score is found as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (66 - 64.1)/3.7

Z = 0.51

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The length of each side of a regular pentagon

a)6.4cm

b) 32cm

a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.

b) A pentagon has 5 sides.

The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.

Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).

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From the calculations; the  minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2

We define the area as the  product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.

We have;

size of rectangular plate = 5 cm by 3cm.

Range of length = 0.25 of 5 cm  

The minimum and maximum area are;

We can now formulate the following to solve the problem;

5 - 0.25 ≤ L ≤ 5 + 0.25

4.75 ≤ L ≤ 5.25

Area of rectangle =  Length × Width.

Width = 3

minimum length = 4.75

maximum length = 5.25

minimum length

= 4.75 * 3

= 14.25 cm^2

maximum length

= 5.25 * 3

= 15.75 cm^2

We now obtain the  minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2

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Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

The area of a triangle is expressed as;

A = 1/2 × base × height

Given the data in the question;

To determine the base of the triangular pendant, we plug the values into the equation above.

A = 1/2 × base × height

70 = 1/2 × base × 14

70 = 14/2 × base

70 = 7 × base

base = 70/7

base = 10 inches

Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

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Answer:

The student's GPA is 3.12

Step-by-step explanation:

Multiply the grade by the weight to determine the grade point;

= (3.8 x 5) + (2.4 x 3) + (3.1 x 5) + (2.9 x 5)

= 19 + 7.2 + 15.5 + 14.5

= 56.2

Total weight = 5 + 3 + 5 + 5 = 18

GPA = 56.2/18

=3.12

Answer:

W = -3

Alternatively 2/5

Answer:

2/5,-3 or 0.4,-3 Bainlist please

Step-by-step explanation:

Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;

The sum of the internal angles of a polygon with n vertices is given by the following equation:

S = (n - 2) x 180º.

For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:

S = (6 - 2) x 180º = 720º.

Considering each internal angle, we can solve for x as follows:

13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720

29x + 517 = 720

29x = 203

x = 203/29

x = 7.

Then the measures are given as follows:

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Answer:

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Step-by-step explanation:

Given that x is rational

By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.

Hence, x + 1 is not equal to x

The given statement is false.

Try This: For every rational number x, x + 0 = x. Is it true or false?

By the property of additive identity, any number added with 0, remains the same.

Hence, x + 0 = x, the given statement is true!

Answer:

See explanation

Step-by-step explanation:

c=different number of colors

t=5s+50c   ==> c=2

t=5s+50(2)

t=5s+100

5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.

3.71 thousand is written as 3,710

In figures, the digits in 3.71 thousand are separated with commas and written as 3,710.

The number 1 thousand in numbers is 1000 . Therefore, if we want to find x thousand in number form, we want to find x copies of 1000 in number form. To do this, we simply multiply x by 1000.

x thousand = x × 1000

This gives that to find 3.71 thousand in numbers, we multiply 3.71 times 1000.

3.71 × 1000 = 3710

If we want to write 3.71 thousand in words, then it will be written as

three thousand seven hundred ten.

Therefore, 3.71 thousand as a number is 3710 and It has 1 zeros.

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Answer:

C, adding -1 1/2 to the coordinate of point J.

Step-by-step explanation:

J= 1 1/5

Equation : 1 1/5+(-1 1/2)

Use distributive property and by multiplying the + sign by the negative #, you get a negative.

- positive x negative = negative

So, : 1 1/5-1 1/5

= 0

Answer:

3 years

Step-by-step explanation:

Applying the definition of the midpoint of a segment, we have:

x = 6

PR = 36 units

If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.

Also, PQ + QR = PR

Given the following:

QR = 18

PR = 5x + 6

Thus, we can create the following equation:

2(QR) = PR

Substitute

2(18) = 5x + 6

36 = 5x + 6

36 - 6= 5x + 6 - 6

30 = 5x

30/5 = 5x/5

6 = x

x = 6

PR = 5x + 6

Plug in the value of x

PR = 5(6) + 6

PR = 36 units

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The expression of the statement is x^3 - 1

The mathematical statement is given as

1 is subtracted from the cube of a number.

Let the number be x

So, we have

1 is subtracted from the cube of x

The cube of x is x^3

So, we have

1 is subtracted from x^3

Rewrite as

x^3 - 1

Hence, the expression of the statement is x^3 - 1

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Answer:

use gauth math

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The smallest one is chosen between the two negatives as all the rest are greater.

- 3 is smaller than - 6/5= -1.2 as 3 > 1.2

the answer is -3

The expression of the statement is 26 = 13.5 +  m/2.5

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The mathematical statement is given as

Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.

Let the number be m

So, we have

Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.

Quotient means divide

So, we have

Twenty-six equals the sum of 13.5 and m/2.5

Sum means addition

So, we have

Twenty-six equals 13.5 +  m/2.5

Equals means =

So, we have

Twenty-six = 13.5 +  m/2.5

Rewrite as

26 = 13.5 +  m/2.5

Hence, the expression of the statement is 26 = 13.5 +  m/2.5

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Answer:

A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.

To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5

To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:

26 - 13.5 = m/2.5

12.5 = m/2.5

m = 12.5 * 2.5

m = 5

Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.

Using the relation between velocity, distance and time, the items and graphs are matched as follows:

1. D.

2. B.

3. A.

4. C.

Velocity is distance divided by time, that is:

v = d/t.

Hence the distance is given by:

d = vt.

Along a city street, we have that:

We can verify this that when graph C(velocity) is zero, graph D(position) is constant.

Along a superhighway we have that:

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Answer:

Can you use the angle bisecto

Step-by-step explanation:

Answer:

yes , we can use the angle bisector theorem to solve for RU

Step-by-step explanation: