Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. How many cloaks could he make with 7 square meters of fabric

Answer:

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

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:

±10

Step-by-step explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.

Answer:

10

Step-by-step explanation:

Factor the number: 100 = [tex]10^{2}[/tex]

=[tex]\sqrt{10^2}[/tex]

Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]

[tex]\sqrt{10^2} =10[/tex]

=10

Answer:

42

Step-by-step explanation:

2lbs/28oz

Divide each side by 2

1lbs/14oz

The simplest form of the ratio is: 8/7. To express the ratio of 2 pounds to 28 ounces as a fraction in simplest form, we need to convert both quantities to the same unit of measurement.

Since there are 16 ounces in 1 pound, we can convert 2 pounds to ounces:

2 pounds * 16 ounces/pound = 32 ounces

Now, the ratio becomes:

32 ounces to 28 ounces

To write this ratio as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD), which is 4 in this case:

32 ounces ÷ 4 = 8

28 ounces ÷ 4 = 7

So, the simplest form of the ratio is:

8/7

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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:

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:-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

56/-7

−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

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:

36

Step-by-step explanation:

Let the number of girls in club be [tex]x[/tex]

Number of boys = 30

Number of boys is 10 times half the number of girls

i.e. [tex]30 = 10(\frac{x}{2} ) = \frac{10x}{2} \\60 = 10x\\x = \frac{60}{10} \\x = 6[/tex]

Total number of boys and girls in club = 30 + 6 = 36

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. (:

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.

Answer:

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

Step-by-step explanation:

anyways the answer is 3

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

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:

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:

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: {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!

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:

q=13.8

Step-by-step explanation:

dude you should mark me as brainliest answer

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.

The three zeros in the product of 6 and 10^3 arise from the properties of multiplication and exponents; 10^3 results in 1000, which when multiplied by 6, gives 6000, featuring three zeros.

The reason there are three zeros in the product of 6 and 10^3 is due to the properties of multiplication and exponents. In exponentiation, 10^3 means multiplying 10 by itself three times, which gives the result of 1000. When you multiply 6 by 1000 (the result of 10^3), it gives 6000, which has three zeros. The number of zeros in the product corresponds to the power of 10 in the original expression.

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Answer:

Convert  15 %  to a decimal.  

Then multiply 0.15  x 13450. That means the answer is $2,017.50

Please mark brainliest if this helped.

The down payment for the car is $2,017.50.

The down payment can be found by multiplying the cost of the car by the percentage of the down payment. In this case, the down payment is calculated as follows:

Down payment = $13,450 * 15%

Thus, the down payment is $2,017.50.

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Step-by-step explanation:

because it has decimal number.

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:

x = 5

Step-by-step explanation:

Given that B is at the midpoint of AC, then

AB = BC ← substitute values

3x + 8 = 5x - 2 ( subtract 5x from both sides )

- 2x + 8 = - 2 ( subtract 8 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5