Use distributive property to write an equivalent expression
9(3x + 5y)​

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

[tex]\to P+Q+R=180[/tex]

prove that [tex](\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})=2[/tex]

Solving the L.H.S part:

[tex]\to (\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})\\\\[/tex]

Solve the above value by taking L.C.M:

[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\[/tex]

multiply the above value by [tex]\frac{2}{2}[/tex]:

[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \times \frac{2}{2} \\\\\to \frac{2 \cos p \sin p+ 2 \cos q \sin q + 2 \cos r \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \sin 2A = 2 \sin A \cdot \cos A\\\\\because\\\\\to \frac{ \sin 2p+ \sin 2q + \sin 2r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \ \\ \bold{\sin 2p+ \sin 2q + \sin 2r= 4 \sin p \cdot \sin q \cdot \sin r}\\[/tex]

[tex]\to \frac{4 \sin p \cdot \sin q \cdot \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\to \frac{2 \sin p \cdot \sin q \cdot \sin r}{ \sin p \cdot \sin q \cdot \sin r} \\\\\to 2[/tex]

So, L.H.S=R.H.S

Answer:

n = 6

Step-by-step explanation:

To isolate n, subtract 1 from both sides:

4n + 1 = 25

4n = 24

Then divide by 4 on both sides:

4n = 24

n = 6

Hope this helped :)

Answer:

6

Step-by-step explanation:

4n+1= 25

or,4n= 25- 1

or,4n=24

or,n=24/4

so n= 6

Answer: B=3+.11m

18.73=3+.11m

-3    -3

15.73=.11m

143=m

Step-by-step explanation:

Step-by-step explanation:

3/4÷1/5

15/20÷4/20

we flip the second fraction and change the ÷ into ×

15/20×20/4=300/80

and now you can simplify this fraction.

Step-by-step explanation:

3/4 / 1/5

3/4 x 5/1

=15/4

Answer:

0.375

Step-by-step explanation:

3/8 = 0.375

Answer:

67,600 possible outcomes

Step-by-step explanation:

In total, it's a four digit password.

For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).

! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.

Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9

so 26 x 26 x 10 x 10 = 67,600

hope this helps!

Answer: She has enough.

Step-by-step explanation:

You need to add up the quantities of water needed first. That will then tell if she has enough water.

Convert the fractions to decimals then add them up:

3/8 = 0.375

1/4 = 0.25

= 0.25 + 0.375

= 0.625 cups of water is required.

This is less than the 1 cup she has so she has enough water to make the snack.

Answer:

The area is 120

The perimeter is 78

Step-by-step explanation:

To find area you have to multiply length x width.

(8x5)

To find perimeter you have to find the length of all the sides and add them

together. To find perimeter of a shape you do length x2 + width x2

(8x2 + 5x2)

Then you need to find the scale factor.

A scale factor of 3 is 3x the size of the original shape

Remember to press Thanks

Answer:

I believe it’s 65

Step-by-step explanation:

Not fully sure

Answer:

number 2. is A I think number 8. is -2 or 2 it might be between those two

Step-by-step explanation:

2.explanation: 11-2=9

sorry but that's all i know i'm only in middle school  

Answer:

number 2. is A I think number 8. is -2 or 2 it might be between those two  

2.explanation: 11-2=9

Step-by-step explanation:

Answer:

6) x^2+6x+8

7) x^2+3x-10

Step-by-step explanation:

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

Answer:

the third option

Step-by-step explanation:

x= 13

[tex] {y}^{2} = {13}^{2} + {13}^{2} \\ {y}^{2} = 338 \\ y = \sqrt{338} = 18.38 = 13 \sqrt{2} [/tex]

Answer:

5n -5

Step-by-step explanation:

7n +2 –(2n +7)

7n +2 -2n -7

5n -5

Answer:

[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]

Step-by-step explanation:

3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

An expression is combination of variables, numbers and operators.

The given expression is  3ⁿ/9ⁿ⁻¹

three power n divided by nine power n minus one.

To express to the power of 2, we have few properties of exponentials.

aˣ/aⁿ=aˣ⁻ⁿ

aˣ.aⁿ=aˣ⁺ⁿ

The given expression is

3ⁿ/9ⁿ⁻¹

3ⁿ/(3²)ⁿ⁻¹

3ⁿ/3²ⁿ⁻²

3ⁿ.3⁻²ⁿ⁺²

When bases are same then we will add the powers

3ⁿ⁻²ⁿ⁺²

3²⁻ⁿ

Hence 3²⁻ⁿ is the simplification of  3ⁿ/9ⁿ⁻¹ in powers of 3.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

[tex]\overline {LP}[/tex] = 5

[tex]\overline {NP}[/tex] = 10

[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15

[tex]\overline {OP}[/tex] = x - 3

[tex]\overline {MN}[/tex] = x + 1

A two column proof is presented as follows;

Statement    [tex]{}[/tex]      Reason

∠L ≅ ∠L     [tex]{}[/tex]        By Reflexive property of congruency

[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex]     [tex]{}[/tex]     Given

∠LOP ≅ ∠LMN [tex]{}[/tex]  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN [tex]{}[/tex]  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex]  = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2

[tex]\overline {OP}[/tex] = 2

[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6

[tex]\overline {MN}[/tex] =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:

Step-by-step explanation:

The difference in the cost:

Tax on the difference:

Answer:

h = 215/f

Step-by-step explanation:

Given:

The expression is

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

It can be written as

[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]

[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Taking LCM, we get

[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{2}{a+2}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].

Answer and Step-by-step explanation: Distributive Property describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:

                 11(2 + 4)

11(6) = 66                 22 + 44 = 66

So, for the expression that represents the area:

5.5(7.5 + x) = 41.25 + 5.5x

As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.

The expressio for area of a rectangular mural is 41.25 + 5.5x.

Step-by-step explanation:

First I had to find 60% of 220.

220 × .60 = 132.

132 people are in favor so I have to subtract that number from 220 to find how many people were against.

220-132 = 88

88 people were against changing the mascot.

Answer:

The second option is correct.

Step-by-step explanation:

First you need to find a common denominator in which is 6

You can find it like this:

1 x  3 = 3

2 x  3 = 6

3/6 is the amount of cake that was left

Now do the same thing for the amount of cake that Elisa ate.

1 x  2 = 3

3 x 2 = 6

So in conclusion the second option represents the amount of cake Elisa eats the best.

I hope this is as helpful as possible.

Answer:

Model:

2/3 (original amount of cake) - 1/3 (what was left) = 1/3 (what Elisa ate)

Math:

2/3 - 1/3 = 1/3

Calculation:

2/3 - 1/3 = (2 - 1) / 3

= 1 / 3

Explanation:

To calculate the fraction of the cake Elisa ate, we need to subtract 1/3 from 2/3. First, we need to find a common denominator for both fractions. In this case, the common denominator is 3. Then, we need to subtract the numerator of the second fraction, which is 1, from the numerator of the first fraction, which is 2. The difference is 1, which is the numerator of the fraction that represents the amount of cake Elisa ate. The denominator is 3, so the fraction that represents the amount of cake Elisa ate is 1/3.

Answer:x=6

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

If you add them all together, you get 266. You subtract that from 90*4= 360

you get 94

Answer:

number 3 is B and number 4 is C

Step-by-step explanation:

7n-1

the 5th term of the sequence 4n+1

Answer:

2

Step-by-step explanation:

a = (-1 x 4) + 6

a = -4 + 6

a = 2

Answer: A

Step-by-step explanation:

For every 3 cups she need 7 cups of white paint.

answer a displays that with 3*2=6 and 7*2=14

Answer:

A

Step-by-step explanation:

I did the math