Explain how to subtract 247 from 538

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.

discount = price times % off

 discount = 22.50 x 0.20

discount = $4.50

Answer:

[tex]\$22.50*0.20=\$4.50[/tex]

Step-by-step explanation:

Let

x-------> original price

y------> percentage of discount

z-----> discount

we know that

[tex]z=xy[/tex]

In this problem we have

[tex]x=\$22.50[/tex]

[tex]y=20\%=\frac{20}{100}=0.20[/tex]

Substitute the values

[tex]z=\$22.50*0.20=\$4.50[/tex]

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

The Pesos you would get if you exchanged $121.10 using an exchange rate of $3 = 1 Peso, you can set up a proportion and solve for x.

To calculate how many Pesos you would get if you exchanged $121.10 at an exchange rate of $3 = 1 Peso, you can set up a proportion:

$3 / 1 Peso = $121.10 / x Pesos

Cross multiply to solve for x:

$3 * x = $121.10 * 1

x = $363.30

Therefore, you would get 363.30 Pesos if you exchanged $121.10 at the given exchange rate.

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set this up as a ratio

25 ft tree / 15 foot shadow = X ft tree / 6 foot shadow

25/15 = X/6

 cross multiply:

150 / 15x

x = 150/15 = 10

 the tree is 10 feet tall

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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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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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

The complete distance Haruka hiked can be calculated by converting the percent to decimal.

The total distance is 14 km Haruka hike in all.

Given:

She hiked in afternoon is [tex]6\: \rm km[/tex].

Let the distance hiked in morning is [tex]x[/tex].

As per the question, 6 kilometers 25% less she had hiked in morning.[tex]\begin{aligned}\left(\dfrac{100\%-25\%}{100}\right)x&=6\\0.75x&=6\\x&=\dfrac{6}{0.75}\\x&=8\\\end[/tex]

Therefore, Haruka hiked [tex]8\:\rm km[/tex] in morning.

Calculate the total distance hiked.

[tex]\rm Total\: distance=8+6=14 \:\rm km[/tex]

Thus, the total distance is 14 Km Haruka hike in all.

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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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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:

Answer:

-b) -8/9

Step-by-step explanation:

Answer:

The correct Answer is B.) -8/9

Step-by-step explanation:

HAVE AN AMAZING DAY!!

The number of 3/4 cup servings that are in 1/2 of a cup of milk is [tex]\frac{2}{3}[/tex]

In order to determine the number of 3/4 cup servings that are in 1/2 cup of milk, divide the fraction of the cup of milk by the fraction of cup servings

Cup of milk ÷ Number of cup servings

= [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{1}{2}[/tex] x [tex]\frac{4}{3}[/tex]

= [tex]\frac{4}{6}[/tex]

In order to express the answer in its simplest form, divide the numerator by two and the denominator by 2. The numerator and the denominator are both divided by two because two is a common factor of 4 and 6

= [tex]\frac{2}{3}[/tex]

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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.