Solve for y. 2(3y-7)=16​

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

4 streamlined shapes reduces friction on airplane

A streamlined shape reduces friction on an airplane. The correct statement is 4.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

To determine the correct statement will be

1. Friction is a force causing rotation.

The statement is incorrect because the cause of rotation is force.

2. Efficiency of the lever is a highly efficient 1st class lever.

The statement is incorrect.

3. Torque is output divided by input.

The statement is incorrect because the output divided by input is known as productivity.

4. Streamlined shape reduces friction on an airplane.

The statement is correct.

5. Equal-arm balance loss of energy.

The statement is incorrect.

More about the decision-making link is given below.

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If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

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Answer:

$266

Step-by-step explanation:

The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

Since the cost of the guitar is $350

There is 20% off.

And, there is 5% off the sale price

So, it be like

= 350 (1 - 0.20) (1 - 0.05)

= $266

hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

learn more about discount here: https://brainly.com/question/22313042

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

Answer:

everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answer:

Answer is A

Step-by-step explanation:

Area of the base = Area of Rectangle = Length x Width = 15x7.

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

Answer:

x = 25

Step-by-step explanation:

the question can be given as x * .3 = 7.5, or rearanged into

7.5/0.3 = x

75/3 = x if you multiple the fraction by 10/10

x = 25 in this case

Answer:

this is your answer. look it once

Answer:

there are 16 inches of bases

Answer:

41 the answer is 41 :)

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

Answer:

The diameter is 6

Step-by-step explanation:

Answer:

I will answer in English.

This can be translated to:

In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?

This means that we have a total of:

(1256 + 1593) students = 2849 students, divided in 3 periods.

So the total number of students in that school is 2849

And the number of students per period is:

2849/3 = 949.7

Because we can only have whole numbers here, we can say that in each period there are around 950 students.

Answer:

4/2

Step-by-step explanation:

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

if you multiply pi by 64^2 times 6 then it comes out to 77207.78

Step-by-step explanation:

64^2 = 4096

4096 (6) = 24576

24576 (π) ≈ 77207.78

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer: -1171875

Step-by-step explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240