Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{27 {x}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

Answer:

44 gallons

Step-by-step explanation:

3960/3=1320

Each person used 1320 in one month

1320/30=44

Amount of person used / 30 days = gallons used each day

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

Answer:

infinity solution

solution:

-x-3y=-6

x+3y=6

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

Answer:

90 degree

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

1 + 1 is 2

Step-by-step explanation:

very hard question

Answer:

Step-by-step explanation:

1+1= 2

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Answer:

Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]

Step-by-step explanation:

7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]

= 6[tex]x^{2}[/tex] + 3x

= 3x ( 2x + 1 )

Hopefully this helps.

Answer:

2

Step-by-step explanation:

4-2=2

55-55=0

so:

2:00

9514 1404 393

Answer:

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation:

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

Answer:

1/-9 or -0.111(repeating)

Step-by-step explanation:

Answer:

              (1,9)

Over to the right one. then up nine of a graph

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

Answer:

-4.3

Step-by-step explanation:

Answer: 638 x= 754*11

638 x= 8294 then divide by both sides by 638

x = 13

she will drive 754 miles in 13 hrs.

Step-by-step explanation:

brainliest me

Answer:

f = 5/6 = 0.833  or f = 0

Step-by-step explanation:

Answer:

x = 14

angles are 96, 42, 42

Step-by-step explanation:

sum of all angles in a triangle is 180

3x + 3x + 96 = 180

6x + 96 = 180

6x = 180 - 96

6x = 84

x = 14

angles are 96, 3x, 3x

96, 3*14, 3*14

96, 42, 42

Answer:

x=14

Step-by-step explanation:

3x + 3x + 96 = 180º    

6x +96º = 180º

6x = 180º - 96º

6x= 84

x = 14

Answer:

I had to interpret y=-*x+2  and y = –20 - 3:

y = -x+2 and y=-20x-3

Graph the equations on DESMOS.  The result is attached.

Step-by-step explanation:

On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours

Answer:

SAS

Step-by-step explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS

Answer:

1. D (9/12)

2. B (1/4)

3. C (2^4x3x5)

Step-by-step explanation:

Hope this helps

Answer:

1) D 9/12

2) B 1/4

3) C 2^4 * 3 * 5

Step-by-step explanation:

1)

1/2 = 6/12

5/6 = 10/12

6/12 < 9/12 < 10/12, this is true.

2)

Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.

3)

Factor out 240:

240 = 120 x 2

120 = 60 x 2

60 = 30 x 2

30 = 15 x 2

15 = 5 x 3

2 x 2 x 2 x 2 x 3 x 5

Multiple the 2's together to get the following equation:

[tex]2^{4} * 3 * 5[/tex]

Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.

The difference between Lizzy's base salary and Jackie's is:

= 1,800 - 1,500

= $300

Assuming a nail service costs $20, the amount she makes per service is:

= 20% x 20

= $4

The number of nail services she needs to do is therefore:

= Difference in wages / Amount per service

= 300 / 4

= 75 nail services

In conclusion, Jackie needs to do 75 nail services.

Find out more at https://brainly.com/question/17700034.

The amount he gets for lunch is an illustration of mean and averages.

He gets for lunch is $240 daily

Represent the amount he gets for lunch each day be x.

So, the amount saved each day is x/2

From Monday to Friday, the total savings would be 5x/2

So, we have:

[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]

Multiply both sides by 2

[tex]\mathbf{5x = \$1200}[/tex]

Divide both sides by 5

[tex]\mathbf{x = \$240}[/tex]

Hence, the amount he gets for lunch is $240 daily

Read more about mean and averages at:

https://brainly.com/question/16217700

Answer: the answer is 1/2

Step-by-step explanation:

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in