There are 10 marbles in a bag. How many green marbles are in the bag if the probability of picking a green one is 3/10?

find common denominator:

6*4 =24, 8*3 = 24

1/6 = 4/24

3/8 = 9/24

4/24 + 9/24 = 13/24

 Answer is D

Final answer:

The system of equations y = -3x - 2 and 4y = -12x - 8 is dependent with an infinite number of solutions because both equations represent the same line.

Explanation:

The system of equations given is:

y = -3x - 2

4y = -12x - 8

If we examine the second equation, we can simplify it by dividing everything by 4, yielding:

y = -3x - 2

Both equations are now identical, which implies that they are the same line graphed on a coordinate plane. The system is considered dependent, and the number of solutions is infinite because every point on the line y = -3x - 2 is a solution to the system.

Answer:

Step-by-step explanation:

The correct answer is:  (-1, -2)

this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the  we can see that the point of intersection is at  (-1, 2)  Answer:  x = -1, y = 2 ∀∈

Answer:

ur final answer will be 5 x (2k^2+3) x (5k-4). its correct i just did the test

Step-by-step explanation:

The distance between points -7.5 and -15.3 on a number line is 7.8.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The numbers on number line are -7.5 and -15.3.

Now, Distance between -7.5 and -15.3 can be calculated as;

= - 7.5 - (-15.3)

= - 7.5 + 15.3

= 7.8

Thus, The distance between points -7.5 and -15.3 on a number line is 7.8.

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The value of x in the equation is 40.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve for the variable x in the equation as follows;

1 / 8 x = 5

cross multiply

x = 8 × 5

x = 40

The value of x is 40.

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Jody's older brother's age can be found using the equation x + 2x - 3 = 30 and solving for x. The answer is C) 19.

To solve this problem, we can set up an equation using Jody's age and Jody's older brother's age. Let's let Jody's age be x. According to the problem, Jody's older brother is three years less than twice Jody's age, so his age is 2x - 3. The problem also tells us that the sum of their ages is 30, so we can write an equation: x + (2x - 3) = 30. Solving this equation will give us the age of Jody's older brother.

Combining like terms and solving the equation, we get 3x - 3 = 30. Adding 3 to both sides, we get 3x = 33. Dividing both sides by 3, we find that x = 11. Therefore, Jody's older brother's age is 2x - 3 = 2(11) - 3 = 22 - 3 = 19.

So, the correct answer is C) 19.

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Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.

Proportional relationships are relationships between two variables where their ratios are equivalent

The first table is

x    1       2         3      4        5

y    9      10       11      12       13

The ratios are not same

1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13

So it is not a proportional relationship.

b    1     4     5     7        11

c    3     12  15   21       33

The ratios are same .

1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.

Hence b and c table shows proportional relationship.

p    1      3    5    7    9

q    0     2    4    6    8

The ratios are not same it does not show proportional relationship.

r 3 6 10 12 15

s 2 4 6 8 10

The ratios are not same it does not show proportional relationship.

Hence the table b and C shows proportional relationship.

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Answer:

3

Step-by-step explanation:

Answer:  Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

5(x-2) = 30

 distribute the 5 by multiplying it with what is inside the parenthesis

5x-10 = 30

 add 10 to both sides:

5x = 40

divide both sides by 5

x = 40/5

x = 8

Step 1: You want to remove the percent sign and then put the number over 100.

Step 2: If the percent is not a whole number then you want to multiply the top and bottom number by 10 but only for every number that comes after the decimal point.

Step 3: Always simplify if possible.

Examples:

43% = [tex]\frac{43}{100}[/tex]

78% = [tex]\frac{78}{100}[/tex] = [tex]\frac{39}{50}[/tex]

0.4% = [tex]\frac{0.4}{100}[/tex] = [tex]\frac{4}{1000}[/tex] = [tex]\frac{1}{250}[/tex]

Converting percents to fractions involves writing the percent as a fraction with a denominator of 100 and then simplifying. For example, 75% is equivalent to 75/100, which simplifies to 3/4. Decimals can be converted to percents by multiplying by 100 and adding the percent sign.

Converting Percents to Fractions

To convert a percent to a fraction, start by writing the percent value as a fraction with a denominator of 100. For example, 75% would be written as 75/100. The next step is to simplify the fraction if possible. To simplify, you find the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number. For instance, the GCD of 75 and 100 is 25, so when we divide both the numerator and the denominator by 25, we get 3/4. Hence, 75% as a fraction in simplest terms is 3/4.

When converting to decimals, simply divide the numerator by the denominator. So, 75% becomes 0.75 when turned into a decimal. Conversely, to convert a decimal to a percent, you multiply by 100 and add the percent symbol (%). For instance, converting the decimal 0.75 to a percent, you would calculate 0.75 * 100 which equals 75%, completing the conversion.

Calculating percents is about understanding the ratio or fraction that the percent represents. The term 'percent' literally means 'per hundred', so any percent can be thought of as that number over 100. For example, 3% means 3/100 and 100% represents a whole or 1 as it's equivalent to 100/100.