MATHEMATICS MIDDLE SCHOOL

What’s the answer to
5+3x=7(x+3)

Answers

Answer 1
Answer:

Answer:

-4

Step-by-step explanation:

Simplifying

5 + 3x = 7(x + 3)

Reorder the terms:

5 + 3x = 7(3 + x)

5 + 3x = (3 * 7 + x * 7)

5 + 3x = (21 + 7x)

Solving

5 + 3x = 21 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

5 + 3x + -7x = 21 + 7x + -7x

Combine like terms: 3x + -7x = -4x

5 + -4x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0

5 + -4x = 21 + 0

5 + -4x = 21

Add '-5' to each side of the equation.

5 + -5 + -4x = 21 + -5

Combine like terms: 5 + -5 = 0

0 + -4x = 21 + -5

-4x = 21 + -5

Combine like terms: 21 + -5 = 16

-4x = 16

Divide each side by '-4'.

x = -4

Simplifying

x = -4

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What are the properties of perpendicular bisectors and angle bisectors in a triangle?

Answers

Answer:

Theory

Step-by-step explanation:

The Perpendicular Bisectors in a triangle,(as the name suggests) perpendicularly bisect the sides of triangle

The point at where all 3 meet is called the Circumcenter

The distance of the Circumcenter from any vertex is same and is equal to circumradius(R)

If a circle is drawn with Circumcenter as center and R as radius, it circumscribes the triangle

The Angle Bisectors in a triangle, are dropped from the vertex to the opposite side.(as the name suggests) It bisects the angle at the vertex of the triangle.

The point at where all 3 meet is called The Incenter

The distance of the Incenter from any of the sides is same and is equal to Inradius(r)

If a circle is drawn with Incenter as center and r as radius,it inscribes the triangle

The angle bisector divides the side it intersects in the ratio of the ratio of other 2 sides

Laura earns $34,350 per year. Laura's income tax rate is 15%. How much income tax does Laura pay each year?

Answers

For this question you would need to make 15% into a decimal. This would make it 0.15. Then multiply 34,350 by 0.15 and you will get the answer.

suppose you have 192 marbles in groups of 15 marbles each. Find the number of groups of marbles that you have. Write the quotient with the remainder written as a fraction. Explain wha th faction part of your answer means.

Answers

so if you have 192 marbles and you want to group them in groups of 15 marbles each
you would see how many times 15's there are in 192 or how many 192's would go into 15

so 192/15 or 
12 and 12/15

The correct answer is:

12 12/15, or 12 4/5.

Explanation:

15 goes into 192 12 times. 15(12) = 180. This leaves us a remainder of 192-180 = 12. This gives us 12 12/15.

Both 12 and 15 can be divided by 3; (12÷3)/(15÷3) = 4/5.

This gives us 12 4/5.

ginger take 10 nickels to buy some pencils at the school store. How many cents does Ginger have to spend?

Answers

By definition, we have that the monetary value of a nickel is given by:

1 nickel = 0.05 $

Since Ginger has 10 nickels, then we must multiply this monetary heat by 10.

We have then:

(0.05) * (10) = 0.5 $

Therefore, Ginger has to spend:

0.5 $ = 50 cents

Answer:

Ginger has to spend about:

0.5 $ = 50 cents
50.    when you have 10 nickels × each nickel is 5 cents = 50.

Alana and her friends decided to have a water fight on a hot summer day. They filled a bunch of water balloons and started the fight at 12:20 P.M. The water balloons lasted for 25 minutes. When all the water balloons were gone, they sprayed water with hoses for 55 minutes, until Alana's dad showed up with ice cream. What time was it when the water fight ended?

Answers

The time was it when the water fight ended is when they started the fight at 12:20 P.M. at 1:40 P.M.

To find out what time the water fight ended, you can start with the initial time when they began the water fight (12:20 P.M.) and then add the duration of the water balloon fight and the hose spraying.

Water balloons lasted for 25 minutes, and spraying water with hoses lasted for 55 minutes, so:

Total duration = 25 minutes (water balloons) + 55 minutes (hose spraying)

                        = 80 minutes

Now, add these 80 minutes to the starting time:

12:20 P.M. + 80 minutes = 1:40 P.M.

So, the water fight ended at 1:40 P.M.

Learn more about Unitary Method here:

brainly.com/question/35438142

#SPJ3
1:40 PM

hope this helps :)

Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second.

Answers

To find this, you must first multiply 58 by the number of feet in a mile, 5280, to get a total number of feet. This comes out to 306,240 feet per hour. Next, you divide this by 60, since there are 60 minutes per hour, to find the rate of feet per minute, which comes out to 5,104 feet per minute. Finally, you divide this number by 60 again, since there are 60 seconds per minute, to get the final answer of a rate of about 85.0666... feet per second.
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