simplify 20+3xy-3+4y^2+10-2y^2​

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:

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

Step-by-step explanation:

because it has decimal number.

Answer:

C

Step-by-step explanation:

Both points y is -2 so the answer is

the line y = -2.

Answer:  the correct option is

(c) y = -2.

Step-by-step explanation:  We are given to find the equation of a line that contains the points (2, -2) and (0, -2).

We know that

the slope of a line containing the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the given line is

[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]

Since the line has a point (2, -2) on it, so its equation will be

[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required equation of the line is [tex]y=-2.[/tex]

Option (c) is CORRECT.

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

Answer:

all work is pictured/shown

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

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:

The answer would be 43 because 62.25-18.92=43.34 therefore it would be rounded down the nearest whole number

Answer:

A

Step-by-step explanation:

First round both numbers to the nearest whole number which would be 62-19. Now calculate. The answer is 43

Answer:-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

56/-7

Answer:

c -5.2 tell me if you need the explanation

Step-by-step explanation:

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

−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

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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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

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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Answer:

q=13.8

Step-by-step explanation:

dude you should mark me as brainliest answer

Answer: A

Step-by-step explanation: You know multiplying will be involved, so B can automatically be removed. It states that the length is 8 cm longer. You know absolutely nothing about the width, so the variable of w can be given for the width. You also know the length will be 8 cm longer, of w+8. w and w+8 will be multiplied, which gives you w(w+8).

Answer:

w(w+8)=48

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

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+4=0

Step-by-step explanation:

Answer:

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

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:

w = 2 or w = -2

Step-by-step explanation:

-9|w| = -18

divide by -9 on both sides

w = 2 negative 2 works also

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 answer is 0.7 bar.

See the attached picture:

hope it helps!