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skelet666 [1.2K]
3 years ago
11

Work out the value of 23 - 4b. When b = 3

Mathematics
2 answers:
Serggg [28]3 years ago
8 0

Answer:

11

Step-by-step explanation:

Substitute 3 for b

23 - 4(3)

Multiply 4(3) = 12

23 - 12

Subtract

23 - 12 = 11

MA_775_DIABLO [31]3 years ago
7 0

Answer:

11

Step-by-step explanation:

b = 3 \\  \\ 23 - 4b \\ 23 + 4 \times 3 \\ 23 - 12 \\ 11

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em>

<em>Have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

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An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. the yard has 3 sprinkler head
frutty [35]

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

3 0
3 years ago
Read 2 more answers
What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

 Given the equation:

\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}

- Using the Difference of squares formula (a^2-b^2=(a+b)(a-b)) we can simplify the denominator of the right side of the equation:

\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}

- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

- Multiply both sides by m-3:

(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)

- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0

- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

7 0
3 years ago
What are the coordinates of the midpoint of the line segment with endpoints R(4,−7) and S(−3,5)?
tekilochka [14]
The answer is (.5,-1)
3 0
3 years ago
Find AC.<br> B<br> 7x-6<br> 6x +4
almond37 [142]

answer:

put a picture of the question, it is easier to understand that way.

5 0
3 years ago
Simplify (x − 4)(2x2 + 3x − 5).
xeze [42]

The simplified form of given expression is 2x^3-5x^2-17x+20

<em><u>Solution:</u></em>

Given that we have to simplify the expression

<em><u>Given expression is:</u></em>

(x-4)(2x^2+3x-5)

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

\rightarrow (x-4)(2x^2+3x-5)

\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

\rightarrow 2x^3+3x^2-5x-8x^2-12x+20

Combine the like terms

\rightarrow 2x^3+3x^2-8x^2-5x-12x+20

\rightarrow 2x^3-5x^2-17x+20

Thus the expression is simplified

5 0
3 years ago
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