Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 60 minutes to practice piano and would like to spend at least 35 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.

In mental math, we simplify computations. For the given problem, we round 6,189 to 6,000, subtract it from 56,211 to get 50,211 and add back the amount we rounded down (189) to get the answer 50,400.

Using mental math means finding a solution with simplified steps or approximate computation, instead of the traditional written or calculator methods.

In this problem; 56,211 - 6,189, you can use rounding to make this easier.

1. Round 6,189 to the nearest thousand, which is 6,000.

2. Subtract this from 56,211 to get 50,211.

3. However, we rounded down by 189 at the beginning. To correct this, just add 189 back to the answer, resulting in 50,400.

This method simplifies the process and lessens your risk of making errors when handling larger numbers.

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For 56,211 - 6,189, rounding gives 50,000, and adding the small differences back in results in a final answer of 50,022.

To use mental math for the subtraction 56,211 - 6,189, consider the following steps:

First, round each number to the nearest thousand to simplify: 56,211 rounds to 56,000 and 6,189 rounds to 6,000.

Subtract the rounded numbers: 56,000 - 6,000 = 50,000.

Note that the actual numbers are slightly higher than their rounded values, making the difference slightly more than 50,000.

Adjust the result by calculating the exact difference between the small parts ignored during rounding. For example, the difference between 56,211 and 56,000 is 211, and

the difference between 6,189 and 6,000 is 189.

Add the small differences back into the result: 211 - 189 = 22.

Combine the simple difference with the adjustment: 50,000 + 22 = 50,022.

Therefore the final answer is  50,022

Answer:

w = 2 or w = -2

Step-by-step explanation:

-9|w| = -18

divide by -9 on both sides

w = 2 negative 2 works also

Answer:

x² ≥ 0 for all x.

(x + 2)(x - 7) ≥ 0 when x ≤ -2 or x ≥ 7.

So x²(x + 2)(x - 7) ≥ 0 when x ≤ -2 or

x ≥ 7.

Step-by-step explanation:

because it has decimal number.

−18 = xy + z

move +z to the other side

sign changes from +z to -z

-18-z= xy+z-z

-18-z= xy

divide both sides by y to get x by itself

-18/y-z/y= xy/y

Answer:

x= -18/y-z/y or x=-z/y-18/y

What is Reciprocal?

The reciprocal of a number is 1 divided by that number.

For example, the reciprocal of 3 is 1 divided by 3, which is 1/3.

In the question, it is given:

[tex]\frac{5}{7} y=6\\\\y=\frac{6*7}{5} \\\\y=\frac{42}{5}[/tex]

Thus, the value of y= 42/5

In terms of reciprocal, it can be written as: y=5/42.

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Answer:

This is the answer

Step-by-step explanation:

Answer: 5.9

Step-by-step explanation: You want to round up so since the 7 is greater than 5 you move the second digit up. So 5.9

~ Hope this somewhat helps. You welcome. (:

The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9x⁴ - 64y²

Now, Factor of the expression is solve as,

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

Since, (a² - b²) = (a - b) (a + b)

So, Apply the above formula in the expression as;

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

⇒ (3x² - 8y) (3x² + 8y)

Thus, The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

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Answer:

sure! Always do what's inside the brackets first and then the parentheses.

Step-by-step explanation:

anyways the answer is 3

one thing to be noteworthy is that this triangle has two angles, a 60° one and a 90° one, meaning the last angle will be a 30° one, thus we can use the 30-60-90 rule.

Check the picture below.

Final answer:

Final answer:

The expressions that represent a perfect square monomial and its square root are: 121 and 11 since 121 is 11 squared; 4x2 and 2x as 4x2 is the square of 2x; and 49x4 and 7x2 since 49x4 is the square of 7x2.

Explanation:

The expression that represents a perfect square monomial and its square root must fulfill a specific criterion where the expression can be written as the square of a monomial. A perfect square monomial, when factored, will give the square of a binomial, which suggests that it's been multiplied by itself. The square root of such an expression will be simply the base of that monomial.

Looking at the provided options, only certain expressions fit this definition:

121; 11 - 121 is indeed a perfect square as it's 11 squared, and its square root is 11.

4x2; 2x - Here, 4x2 is the square of 2x, making 2x its square root.

49x4; 7x2 - In this case, 49x4 is the square of 7x2, hence, 7x2 is the square root of 49x4.

The other expressions listed do not represent perfect square monomials with their respective square roots. In particular, 9x2-1 is not a monomial and 25x is not a square of a monomial.

Answer:

B. 20 over 32

Step-by-step explanation:

Because if you multiply both number by 4, you will get the ratio of 20:32

Final answer:

The equivalent ratio to 5 out of 8 players selected is 20 over 32, as both ratios reduce to the same value when simplified. Options A, C, and D are not equivalent to the original ratio of 5 to 3. Therefore, option(B) is correct.

Explanation:

The question asks about equivalent ratios. The tennis coach selected 5 out of 8 players to represent his academy, so the original ratio is 5 selected to 3 not selected (since 8-5 = 3). To find an equivalent ratio, we need to find multiples of both numbers that maintain the same relationship.

Option A, which presents the ratio 15 over 21, can be reduced by dividing both numbers by 3, yielding 5 over 7. This is not equivalent because 5 selected to 3 not selected is different than 5 to 7.

Option B, the ratio of 20 over 32, can also be reduced by dividing both numbers by 4, yielding 5 over 8. This is equivalent to the original ratio of 5 to 3 since the number of selected players would be scaled similarly. Therefore, the correct answer is B. 20 over 32.

Option C, 5 over 3, presents the opposite of the original scenario, where the numerator would represent the selected players, but this ratio does not need scaling, so it's not a valid equivalent ratio in this question.

Lastly, option D, 8 over 13, does not reduce to a ratio equivalent to 5 over 3 as these numbers have no common factors with 5 and 3 respectively.

Answer: {5, 3, 1, -1}

Step-by-step explanation:

So, domain is the x-values and range is the y-values. You're trying to find the y-values. The problem gives you the domain: {0, 1, 2, 3}. So now you plug in the x values into the equation to get the y-values.

1.    y = 5 - 2(0)

        y = 5

2.    y = 5 - 2(1)

      y = 3

3.    y = 5 - 2(2)

      y = 1

4.    y = 5 - 2(3)

      y = -1

So, now you have the y-values, or range.

{5, 3, 1, -1}

I hope this helps you!

Answer:

You did not provide options but it would be any one of them that starts with -3 and then has a decimal.

Answer:

Slope of the given line=-5

Slope of the perpendicular line=1/5 [reciprocal with opposite sign]

Required equation is (y+4)=1/5(x+5)

5y+20=x+5

x-5y=15

Without using slope

Equation of the given line is 5x+y=3

Equation of the perpendicular line is x-5y=k [interchange the coefficient of x and y

and put opposite sign for y and equating the equation to k]

This line passes through (-5,-4)

-5+20=k therefore k=15

The required equation is x-5y=15

Answer:

la respuesta es A. 3x - 3

Final answer:

To find (f - g)(x), subtract the function g(x) from f(x). (f - g)(x) = 3x - 3.

Explanation:

To find (f - g)(x), we need to subtract the function g(x) from f(x).

f(x) = 5x - 2

g(x) = 2x + 1

Subtracting g(x) from f(x) gives us:

(f - g)(x) = (5x - 2) - (2x + 1)

Expanding the expression:

(f - g)(x) = 5x - 2 - 2x - 1

Combining like terms:

(f - g)(x) = 3x - 3

Answer:

q=13.8

Step-by-step explanation:

dude you should mark me as brainliest answer

take a peek at the fractions in the expression, hmmmm let's see the LCD of all fractions will just be 4, in this case there's one fraction only anyway, so let's multiply both sides by that LCD of 4 to do away with the denominators

[tex]\bf 6=\cfrac{a}{4}+2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4(6)=4\left( \cfrac{a}{4}+2 \right)}\implies 24=a+8\implies 16=a[/tex]

Answer:Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. -virtualnerd.com

Step-by-step explanation:

The Subtraction Property of Inequalities allows subtracting the same value from both sides of an inequality without altering its direction, a fundamental concept in algebra.

The Subtraction Property of Inequalities states that you can subtract the same value from both sides of an inequality without changing the inequality's direction. This property is essential in solving inequalities and maintaining the inequality relationship.

For example:

If 3 < 7, then subtracting 2 from both sides gives 1 < 5, which still holds true.

Understanding and applying this property correctly is crucial in algebra and helps in solving various mathematical problems.

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

The answer is 0.7 bar.

See the attached picture:

hope it helps!