mp+nq = 1 solve for q

Answer:

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Answer:

Step-by-step explanation:

Answer:

r = [tex]\sqrt{\frac{a}{3}}[/tex]

Step-by-step explanation:

1. A = 3r²

(Divide 3 by both sides)

2. A/3 = r²

(Square root both sides)

√A/3 = r

On solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

We have the following expression -

[tex]$A=3r^{2}[/tex]

We have to solve for r.

On solving, we get -

x = [tex]$\pm\sqrt{9}[/tex]

x = [tex]$\pm3[/tex]

According to the question, we have -

[tex]$A=3r^{2}[/tex]

[tex]$r^{2} = \frac{A}{3}[/tex]

r = [tex]\pm\sqrt{\frac{A}{3} }[/tex]

Since, the area cannot be negative, therefore -

r = [tex]\sqrt{\frac{A}{3} }[/tex]

Hence, on solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

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There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.

In the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.  

For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):

[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)

Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:

[tex]n = 12-2\cdot d[/tex] (2)

According to the first graph, there are seven forms in this scenario.

Case 2 ([tex]q = 1[/tex])

[tex]n = 7-2\cdot d[/tex] (3)

According to the graph case_2, there are four forms in this scenario.

[tex]n = 2- 2\cdot d[/tex]

According to the graph case_3, there are two forms in this scenario.

Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]

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Answer:

243

Step-by-step explanation:

the answer is 243 for number 6

Answer:

all you gotta do is do 2430 divided by ten

Answer:

bff

Step-by-step explanation:

bfbfb

Answer:

0.9240

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

B=180-42=138

C=32

triangle must have 180degrees: 180-(138+32)=X

x=180-170=10

Answer:

7 - y

Step-by-step explanation:

2(x - 4) + 3x - y for x = 3

~Substitute

2(3 - 4) + 3(3) - y

~Simplify

2(-1) + 9 - y

-2 + 9 - y

7 - y

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Answer:

C

E

Step-by-step explanation:

Answer:

part 1: c is the total cost of the 3 pounds of oranges.

part 2: 3 pounds of oranges cost c dollars and 1 pound of oranges is unknown.

part 3: 1c÷3

Answer:

-29

Step-by-step explanation:

4× (x+6) = -5. + 3x

4 times the sum of a number is 5 less than 3 times the same number

4×(x+6) = 3x - 5

4x + 24 = 3x - 5

x = -29

Step-by-step explanation:

Since,

1 inch=2.5 cm

Therefore,

5.2 inches=2.5×5.2 cm=13 cm

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Answer:

Answer:

$9000

Step-by-step explanation:

36000:4=$9000

Answer:

One side is 87.2 The other side is 352.8

Step-by-step explanation:

(4x+4)*x=440

5x+4=440

5x=436

x=87.2

(4(87.2)+4)=352.8

Answer:

x = 36

Step-by-step explanation:

multiply 4 and 9.5 to get the total amount.

38 = 14.5 + (-8) + (-4.5) + x; hence x is 36.

Answer: x=36

Step-by-step explanation:

To solve this question, we first want to know what mean is. Mean is the same as the average. You take the sum and divide it by the amount. Since we know there are 4 numbers and the mean, we can easily find the value of x.

[tex]\frac{14.5-8-4.5+x}{4} =9.5[/tex]               [multiply both sides by 4]

[tex]14.5-8-4.5+x=38[/tex]       [combine like terms]

[tex]2+x=38[/tex]                          [subtract both sides by 2]

[tex]x=36[/tex]

Now, we know that x=36.

Step-by-step explanation:

Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]

Taking the partial derivative of the above equation with respect to z, we get

[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]

Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get

[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]

Then

[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]

The derivative using implicit differentiation can be calculated and after rearranging the terms.

Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.

We have:

[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]

We have to find the:

= ∂w/ ∂z

[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]

[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]

After rearranging the terms:

[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]

[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]

Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.

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Answer:

ans is 7

Step-by-step explanation:

as we know that angle B and C are equal cause it is an alternative angle so

3x-17=25-3x

so 3x+3x=25+17

6x=42

x=7

Answer:

7

Step-by-step explanation:

The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.

That said, you are 1/3 the way there. Those angles marked must be equal.

3x - 17 = 25 - 3x            Add 3x to both side

3x + 3x - 17 = 25           Combine

6x - 17 = 25                   Add 17 to both sides

6x = 25 + 17                  Combine

6x = 42                         Divide by 6

6x /6 = 42/6

x = 7

Answer:

21. 3000

22. 3000

23. 5000

24. 9000

25. 2000

Step-by-step explanation:

look at the number in the 'hundreds', if its between 1-4, you round the number down, and if its between 5-9, you round up.

Answer: (a) x = -1

Step-by-step explanation:

Given

-2 (x - 1) = 1 - 3x

Expand parentheses and apply the distributive property

(-2) · x - (-2) · 1 = 1 - 3x

-2x + 2 = 1 - 3x

Add 3x on both sides

-2x + 2 + 3x = 1 - 3x + 3x

x + 2 = 1

Subtract 2 on both sides

x + 2 = 1 - 2

[tex]\boxed{x=-1}[/tex]

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Answerplease give moreinfo

Step-by-step explanation:

Answer:

yoooo it equals 1

Step-by-step explanation:

Answer:567/ 80 or 7(which was rounded to the nearest whole number)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

(30+2)2

30*2+2*2

60+4

64

Answer:

B. (30+2)^2

Step-by-step explanation:

(30+2)^2=30^2+2(30)(2)+2^2=900+120+4=1024

32^2=1024. The way to solve without calculator is above.

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Answer:

Perimeter=14

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

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700,000,000

y a i ta

Step-by-step explanation:

100,000,000 + 500,000,000 = 600,000,000