Mathematics High School

Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]
​

Answers

Answer 1

Answer:

8x-16y

Step-by-step explanation:

b.6a/6+18b/6-12c/6
Answer 2

Answer:

8x - 16y and a + 3b - 2c

Step-by-step explanation:

(a)

8(x - 2y) ← multiply each term in the parenthesis by 8

= 8x - 16y

(b)

[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator

= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator

= a + 3b - 2c

Related Questions


Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin

b:Reflect it over the x-axis, then rotate it 180 degrees about the origin

c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right

d:Translate it 8 units to the right, then reflect it over the line y=-3

Answers

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Incorrect
Reflect it over the x-axis, then rotate it 180 degrees about the origin

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

Simplify (2^-1 +5^-1)^2 *(-5/8)^-2

Answers

Answer: 1.2544

Step-by-step explanation:

2^-1 = 1/2

5^-1 = 1/5

1/2+1/5 = 7/10

(7/10)^2=49/100=0.49

(-5/8)^-2 = 64/25=2.56

(2^-1 +5^-1)^2 *(-5/8)^-2 = 0.49 * 2.56 = 1.2544

help its urgent please

Answers

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

Identify the perfect squares.
Select all that apply:

Answers

Answer:

81, 64, 49

Step-by-step explanation:

81/9=9

64/8=8

49/7=7

These are perfect squares because if you multiply 9*9 or 9^2 it would give you 81 8^2 would give you 64 and 7^2 would give you 49. Answers are: 81, 64, 49

What is 0.304 in fractions?

Answers

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

solve for X: -0.6x>3

Answers

Answer:

x < -5

Step-by-step explanation:

-0.6x > 3

=> Dividing 0.6 on both sides

=> -x > 3/0.6

=> -x > 5

=> x < -5     [When we multiply -1 on both sides the sign changes]

The solution to the inequality -0.6x > 3 is x < -5.

To solve for x in the inequality -0.6x > 3, we need to isolate x on one side of the inequality.

First, to divide both sides of the inequality by -0.6 to remove the coefficient in front of x.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

So, dividing both sides by -0.6 gives

x < 3 / -0.6

Simplifying the right side of the inequality, we have:

x < -5

Therefore, the solution to the inequality -0.6x > 3 is x < -5.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ6

evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too​

Answers

Step-by-step explanation:

In triangle ADE:

sum of all angles is 180.

3x-10+58+42=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

As line DA and CB are parallel:

angle D=angle C

angle y=58

In angle BCE, sum of angles is 180.

z+58+42=180

z+100=180

z=180-100

z=80

Is this a function? {(-3, 1), (1, -2), (3, 0), (4, 5)}

Answers

Yes it is a function :))))))))))

Im bad at money :/ do please help me

Answers

The third answer

1 quarter, 6 dimes, 1 nickel, 7 pennies

2. χΣ -4
Please help

Answers

Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

20=x+12

What is the value of x, please help me, thank you.

Answers

Answer:

20-12= x

8=x

x=8

Step-by-step explanation:

I think check once to confirm tho

Answer:

8

Step-by-step explanation:

20 = x + 12                           Subtract 12 from both sides to get x on it's own.

20-12= x                               Simplify

8 = x

x = 8                                     Here is your answer!

Hope this helps,

Please mark me the brainliest!

Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)

Answers

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

14 +3n = 8n - 3(n - 4)

Answers

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

Sarah is going on a trip. She drives for 2 hours and 50 minutes, rests for 30 minutes and drives
for another 1 hours 10 minutes.
What is her total travel time in hours and minutes

Answers

Answer:

4hr and 30 min

Step-by-step explanation:

2hr and 50 min + 30 min = 3hr and 20 min

3hr and 20 min + 1hr and 10min = 4 hr and 30min

Some math help please?

Answers

Answer:

∠ LMP = 77° , ∠ NMP = 103°

Step-by-step explanation:

The 2 angles on the straight line sum to 180° , that is

∠ LMP + ∠ NMP = 180 , substitute values

- 16x + 13 - 20x + 23 = 180 , that is

- 36x + 36 = 180 ( subtract 36 from both sides )

- 36x = 144 ( divide both sides by - 36 )

x = - 4

Then

∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°

∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°

Suppose y varies directly with x, and y = 12 when x= - 4. Find x when y= 15.

Answers

Answer:x=-5

Step-by-step explanation:

Solve for x: the quantity of x plus 20 over 2 = 3x

Question 6 options:

x = 10


x = 4


x = −14


x = −17

Answers

Answer:

B. x = 4

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation:

(x + 20)/2 = 3x

x + 20 = 2*3x

x + 20 = 6x

20 = 6x - x

20 = 5x

20/5 = x

x = 4

PLEASE HELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
himari is solving the equation 4 ( x - 3 ) = 16. Her first step is 4x - 12 = 16
which step could be the next step? select all that apply.
1. 4x - 12 + 12 = 16 + 12
2. 4x - 12 - (-12) = 16 - (-12)
3. 1/4 x ( 4x - 12 ) = 16 x (1/4)
4. 4x/4 - 12 = 16/4
5. 4 x ( 4x - 12 ) = 16 x 4

Answers

It’s 1. (4x - 12 + 12 = 16 + 12)

Answer:

1. could be the next step.

3. could be the next step.

Step-by-step explanation:

I need help I’m been stuck on this section forever

Answers

There is 6.05 gallons of gas left in her car when she drives for an hour

If it says area does it mean

A, addition
B, subtract
C, multiplication
E, division
F, equals

Answers

The answer is C, multiplication.

Answer:

C. Multiplication

Step-by-step explanation:

To find the area, you multiply the width and length.

Squares, Rectangles, Rhombuses: l x w = a

Triangles: l x w

                  2      

Write a rule for the geometric sequence with the given description. The first term is -3, and 5 is the previous term.

Answers

Answer:

The rule is (-3)(5)^(n-1).

Step-by-step explanation:

OK so the common ratio is 5 and first term = -3.

nth term = ar^(n-1)

= (-3)(5)^(n-1).

If angle f and g are complementary. And f is 4 times bigger than angle g what are their measures

Answers

Answer:

Step-by-step explanation:

3

A washer and a dryer cost 860 combined. The washer costs 90 less than the dryer. What is the cost of the dryer?

Answers

Answer:

340

Step-by-step explanation:

860 ÷ 2 = 430

430 - 90 = 340

HELP WILL MARK AS BRAINLIEST!!!

MAGIC SQUARE HELP PLEASE

Answers

Answer:

Top Middle: 2/10 or 1/5 or 4/20

Bottom right: 2/20 or 1/10

Middle right: 2/10 or 1/5

Middle Middle: 7/40

if two planes intersect, then their intersection is a point true or false

Answers

I believe that it is true

Step-by-step explanation:

sorry if im wrong

Answer:

False.

Step-by-step explanation:

my family uses 3 cartons of milk a day . how many cartons did we use in january

Answers

Answer:

93 cartons

Step-by-step explanation:

January-31

no of cartons-3 × 31=93

Midpoints & endpoints

Answers

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answers

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

Help (Geomotry)!!!!

Answers

LM + MN = LN

x + 7 + 3x + 20 = 6x - 5

4x + 27 6x - 5

4x - 6x-27-5

-2x = -32

x = -32: (-2)

x = 16

Therefore

MN = 3x + 20 = 3 16+ 2048 + 20 = 68 Answer: MN = 68.
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