A bag contains 8 blue marbles, 6 red marbles, and 4 green marbles. What is the probability of selecting a blue marble, replacing it in the bag and then selecting a red marble?
A.7/9
B.1/3
C.2/27
D.4/27

The reflection of a function across the x-axis changes the sign of the function. In this case, g(x) = -x - 6 is the correct equation representing the reflected graph.

The correct equation that describes the graph g(x) reflected across the x-axis from f(x) = x + 6 is g(x) = -x - 6. When reflecting a function across the x-axis, the sign of the function changes in the equation. Therefore, g(x) would be obtained by changing the sign for the x-term in f(x).

Answer:$35.79

Step-by-step explanation:

28.35*6.25%

tax=28.35*0.0625=1.77

28.35+20=5.65

total=30.12

$30.12+5.67

total$35.79

Answer:  The percent of decrease= 20 %.

Step-by-step explanation:

Regular price of blueberries= $3.50per pint

Current selling price=$2.80 per pint

Clearly, there is decrease in price as 'Current selling price' < 'Regular price'

Now, Decrease in price=Regular price-Current selling price

[tex]=\$3.50-\$2.80=\$0.70[/tex]

We know that Decrease percentage =[tex]\frac{\text{Decreased price}}{\text{Regular price}}\times100[/tex]

[tex]=\frac{0.70}{3.50}\times100\\=\frac{7}{35}\times100\\=\frac{1}{5}\times100\\=20\%[/tex]

Therefore, the percent of decrease= 20 %.

Fraction number is the number which is expressed as a part of a whole.

Tina uses total 6/15 pounds of amount to make the fried rice.

Fraction number is the number which is expressed as a part of a whole. The fraction number are written with numerator and a denominator.

Given information-

Total amount of rice Tina has 3/5 pound.

The amount she used to make the fried rice is 2/3.

As the the amount she has earlier is in the fraction number, and the she made the fried rice with again a fraction amount of the original quantity.

Thus to find the amount she used to make fried rice from the total amount ,we have to multiply the used rice to the total rice.

Suppose she used x amount of rice to make the fried rice from the total rice. Thus,

[tex]x={\dfrac{2}{3}}\times{\dfrac{3}{5}}[/tex]

[tex]x=\dfrac{6}{15}[/tex]

Hence Tina uses total 6/15 pounds of amount to make the fried rice.

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Final answer:

Tina will use 2/5 of a pound of rice to make fried rice. This is determined by multiplying 3/5 (the total amount of rice she has) by 2/3 (the portion she will use) and simplifying the result.

Explanation:

To find out how much rice Tina will use to make fried rice for her family, we start by identifying the amount of rice she has, which is 3/5 pound of rice. Next, we need to calculate 2/3 of that quantity since she will use that fraction for the fried rice. To do this, we multiply 3/5 by 2/3.

First, multiply the numerators: 3 x 2 = 6.
Then, multiply the denominators: 5 x 3 = 15.
So, 3/5 x 2/3 = 6/15.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Therefore, 6/15 simplifies to 2/5.

The final answer is that Tina will use 2/5 of a pound of rice to make the fried rice.

The reciprocal of a number is the number gotten when you flip or invert the fraction. Hence, the reciprocal of 1/9 is 9.

The reciprocal of a number is calculated by flipping, or 'inverting', the fraction. It's essentially interchanging the numerator and denominator. In the case of 1/9, the reciprocal would be 9/1.

To clarify, the reciprocal of 1/9 is 9/1, which simplifies to 9. So, the reciprocal of 1/9 is 9.

The reciprocal of a fraction is obtained by taking the reciprocal of the numerator and denominator. To find the reciprocal of 1/9, we simply invert the fraction. Inverting means swapping the numerator and denominator. So the reciprocal of 1/9 is 9/1 or simply 9.

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Answer:

Option 2 is correct .

Step-by-step explanation:

Given : A big cube 5*5 which contains small 25 cubes

Solution :

Let 25 small cubes denotes 100%

So , 1% is denoted by : [tex]\frac{25}{100}[/tex]

So, 24 % is denoted by :

⇒[tex]\frac{25*24}{100}[/tex]

⇒[tex]6[/tex]

Thus to show 24% on 5*5 , 6 small cubes must be shaded .

In Option 2 , 6 small cubes are shaded.

Hence , Option 2 is correct .

Answer:

Option 2 is correct .

Step-by-step explanation:

Given : A big cube 5*5 which contains small 25 cubes

Solution :

Let 25 small cubes denotes 100%

So , 1% is denoted by :

So, 24 % is denoted by :

⇒

⇒

Thus to show 24% on 5*5 , 6 small cubes must be shaded .

In Option 2 , 6 small cubes are shaded.

Hence , Option 2 is correct .

Answer:

The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]

Step-by-step explanation:

we know that

The unit rate is the ratio of two measurements in which the second term is equal to one

In this problem to find the unit rate, divide the total cost of cereal by the total weight of cereal

so

[tex]\frac{2.10}{14}\frac{\$}{ounces} =0.15\frac{\$}{ounce}[/tex]

therefore

The unit rate is equal to [tex]0.15\frac{\$}{ounce}[/tex]

The result of the expression 17 - 2c is 3, where c = 7.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

An operator is a symbol used to represent a mathematical operation. Examples include division, multiplication, addition, and subtraction.

Given, an expression 17 - 2c and value of c = 7

The value os expression for c =7

=> 17 - 2*7

=> 17 - 14

=> 3

therefore, The value of the expression 17 - 2c for c = 7 is 3.

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b) it is less than the original number. Finding less than 100% of a number means the answer is b) less than the original number, since 100% represents the whole.

When you find less than 100% of a number, the answer is b) it is less than the original number. This is because 100% of a number represents the number itself, so any percentage less than 100% means you're taking a part of the number which is smaller than the whole. For example, finding 50% of a number is the same as finding half of it - clearly, half of something is less than the whole.

Answer:

Correct option is C

Step-by-step explanation:

we have to tell that in which type of transformation angle are preserved.

Rotation:

This transformation turns a figure about a fixed point and the fixed point is known as the centre of rotation. The figures which goes through rotation has same angle as that of original figure.

i.e Rotation transformation preserves angle.

Reflections:

This transformation flip a shape over a line.

Angles also preserve in this type of transformation.

Translations:

This transformation involves sliding a shape. The figure only translate right left i.e shape or angle preserve i.e not changed.

Hence, the angles are preserve in in all three type of transformations that are rotation, reflection and transformation.

∴ Correct option is C

All three types of transformations (rotations, reflections, and translations) preserve angles, making the correct answer C. I, II and III.

The question is about determining which types of transformations preserve angles.

There are three main types of transformations to consider: rotations, reflections, and translations.

Angle Preservation in Transformations

Because all three types of transformations (rotations, reflections, and translations) preserve angles, the correct answer is C. I, II and III.