MATHEMATICS HIGH SCHOOL

1 pointGiven –12 = 2(_5n + 11), What would be your first step?
O Distribute the 2 times the 5n and 11
Subtract 11 on both sides
Add the 5 and 11 because they are Like Terms.
O Divide by -5
1 point Given –12 = 2(_5n + 11), What would - 1

Answers

Answer 1
Answer: Distribute the 2 is the first step

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Alice purchased paint in a bucket with a radius of 3.5 in. and a height of 8 in. The paint cost $0.05 per in³. What was the total cost of the paint? Use 3.14 to approximate pi. Round your answer to the nearest penny.

Janet drove 300 miles in 4.5 hours. Write an equation to find the rate at which she was traveling.

Answers

If you would like to know the rate at which she was travelling, you can calculate this using the following steps:

300 miles ... 4.5 hours
x miles = ? ... 1 hour

300 * 1 = 4.5 * x
300 = 4.5 * x
x = 300 / 4.5
x = 200 / 3
x = 66.67 miles per hour

Janet was travelling at the rate 66.67 miles per hour. 

Find the degree measure of angle a in the diagram below

Answers

Answer: 30

Step-by-step explanation:

Can ya'll help me? tehee :)

Answers

128
328
437
837
Hope it helped

A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3 cm, that take up 25% of the volume.How many meatballs are in the can?

Use 3.14 to approximate pi and express your answer as a whole number.

Answers

Hey there, the radius of the can is 1/2 of 12 cm=6 cm, the volume of the can is pi r^2h=Pi 6^{2}16=1809.5573cm3, Now, the volume of the meatball is 4/3 pi r^{3}=4/3 pi 3^{3}=113.09734, Then, 25% of the can=1809.5573/4=452.389325, The meatballs in area=25% of can over volume of meatballs=452.389325/113.09734=4 meatballs, Therefore, the answer is 4 meatballs.

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

Learn more about simultaneous equations here:

brainly.com/question/16763389

#SPJ2

Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

When the equation a – bx = cx + d is solved for x, the result is x = .Use the general solution to solve 5 – 6x = 8x + 17.

Answers

The value of x in the equation a – bx = cx + d is = a - d / c + b

The value of x in the equation  5 – 6x = 8x + 17 is - 6 / 7

a - bx = cx + d

add bx to both sides of the equation

a - bx + bx = cx + bx + d

a = cx + bx + d

subtract d form both sides of the equation

a - d = cx + bx + d - d

a - d = cx + bx

Distributive law:

using distributive law on the right side of the equation

a - d = x (c + b)

divide both sides by (c + b)

Therefore,

x = a - d / c + b

Let's use the same method to solve 5 – 6x = 8x + 17

5 – 6x = 8x + 17

add 6x to both sides

5 – 6x  + 6x= 8x + 6x + 17

5 = 14x + 17

subtract 17 from both sides

5 - 17 = 14x + 17 - 17

-12 = 14x

divide both sides by 14

x = -12 / 14

x = - 6 / 7

learn more on equations here: brainly.com/question/7838122
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