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3 years ago

Which property of equality could be used to solve x - (-6) = 18?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Answer:subtraction property

Step-by-step explanation:

Two a negative and a negative makes a positive so it would be x+6=18 so u do the opposite on both sides so it would be subtraction

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On a set of blueprints for a new home, the contractor has established a scale of 0.5in : 10 ft. What are the dimensions on the b

Kipish [7]

Answer:

The dimensions on the blueprints are 0.9 inches and 0.8 inches

Step-by-step explanation:

* Lets explain the relation between the drawing dimensions and

the real dimensions

- A scale drawing make a real object with accurate sizes reduced

or enlarged by a certain amount called the scale

- Ex: If the scale drawing is 1 : 10, so anything drawn with the size of

1 have a size of 10 in the real so a measurement of 15 cm on the

drawing will be 150 cm on the real

- In a scale drawing, all dimensions have been reduced by the same

proportion

* Lets solve the problem

- On a set of blueprints for a new home, the contractor has

established a scale of 0.5 in : 10 ft

∵ The drawing scale ratio must be in same unit

∴ Change the feet to inch

∵ 1 foot = 12 inches

∴ 10 feet = 10 × 12 = 120 inches

∴ The scale is 0.5 inches : 120 inches

- Simplify the scale by multiply it by 2

∴ The scale is 1 in : 240 in

- Lets find the dimensions on the blueprints

∵ The real dimensions are 18 feet and 16 feet

- Change the feet to inches

∴ 18 feet = 18 × 12 = 216 inches

∵ 16 feet = 16 × 12 = 192 inches

∵ The scale is 1 : 240

∴ 1/240 = x/216 ⇒ use cross multiplication

∴ 240 x = 216 divide both sides by 240

∴ x = 0.9 inch

∵ The scale is 1 : 240

∴ 1/240 = y/192 ⇒ use cross multiplication

∴ 240 y = 192 divide both sides by 240

∴ y = 0.8 inch

* The dimensions on the blueprints are 0.9 inches and 0.8 inches

8 0

4 years ago

Simplify the following expressions: 1/3(6a+12)+3a

Maru [420]

Answer in simplified expression: 5a+4

3 0

4 years ago

Read 2 more answers

Three workers have to do a certain job. The first worker can finish the job in 8 hours. The second worker can finish the job in

mestny [16]

Working together three workers would take 1 hour 36 minutes to finish the job

Solution:

Given that first worker can finish the job in 8 hours

So in one hour, first worker can do $\frac{1}{8}$ th of the work

The second worker can finish the job in 4 hours

So in one hour, second worker can do $\frac{1}{4}$ th of the work

The third worker can also finish the job in 4 hours

So in one hour, third worker can do $\frac{1}{4}$ th of the work

The three workers working together in 1 hour can do:

$\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}$

The three worker can thus do $\frac{5}{8}$ th of the work in one hour

Hence the three of them together can finish the work in $\frac{8}{5}$ hours

$\frac{8}{5} = 1\frac{3}{5}$ hours

Thus working together three workers would take 1 hour 36 minutes to finish the job

8 0

3 years ago

Water flows at a constant rate out of a faucet. Suppose the volume of water that comes out in three minutes is 10.5 gallons. How

Setler [38]

Answer:

3.5 Gallons Per Minute or 3.5m

Step-by-step explanation:

Since there is 10.5 Gallons in 3 minutes, do

10.5/3 = 3.5

(please mark brainliest if this helps!)

8 0

3 years ago

Type two statements that use nextint() to print 2 random integers between (and including) 100 and 149. end with a newline. ex: 1

solong [7]

NB- Solution is emboldened

import java.util.Scanner;

import java.util.Random;

public class RandomGenerateNumbers {

public static void main (String [] args) {

Random randGen = new Random();

int seedVal = 0;

seedVal = 4;

randGen.setSeed(seedVal);

System.out.println(randGen.nextInt(50) + 100);

return;

}

4 0

3 years ago

Read 2 more answers