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1 year ago

Simplify:1/6x+42+2/5x-8/3x-19

Mathematics

1 answer:

Misha Larkins [42]1 year ago

8 0

Answer:

C; -21/10X + 23

Step-by-step explanation:

Combine like terms and simplify

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The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

STALIN [3.7K]

Answer:

As addition property of equality clearly states that if we add the same number to both sides of an equation, the sides remain equal.

Step-by-step explanation:

$2x + 2y = 14$

$-x + y = 5$ Add x in both sides (Addition Property of Equality)

$2x + 2y = 14$

$y = x + 5$ Multiply both sides by 2

$2x + 2y = 14$

$2y = 2x + 10$ Subtract 2x in both sides

$+\left \{ {{2x + 2y=14} \atop {-2x + 2y=10}} \right.$ ∵adding both equation

$4y = 24$ divide both sides by 4

$y = 6$

Put the value of y = 6 to the equation $-x + y = 5$

$-x + 6 = 5$ Subtract 6 from both sides

$-x = -1$ Change the sign

$x = 1$

Keywords: Addition property of equality, reason, proof

Learn more about operations from brainly.com/question/3474035

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4 0

3 years ago

Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?

Sonbull [250]

Isiah is 5.83 miles away from his starting point.

When you draw the the miles Isaiah walks, you will discover that you are forming a right angle triangle.

To measure the length from the starting point to the ending point. We must used the Pythagorean equation. Where in the square of the hypotenuse is equal to the sum of squares of the other two sides.

a² + b² = c²

a = 3 miles 3² + 5² = c²
b = 5 miles 9 + 25 = c²
c = hypotenuse. 34 = c²

We must get the hypotenuse, since 34 is the square of the hypotenuse we must look for its square root.

c² = 34
c = √34
c = 5.83 miles

7 0

4 years ago

A textbook store sold a combined total of 460 physics and math textbooks in a week. The number of math textbooks sold was 62 les

sergij07 [2.7K]

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

Learn more about equation here :

brainly.com/question/27893282

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5 0

2 years ago

Use differences to fins a pattern in the sequence 0,12,72,240,598,1250,2322

sergiy2304 [10]

Answer:

8th term is 3980.

Step-by-step explanation:

0 12 72 240 598 1250 2322

Differences in successive terms

are:

12 60 168 358 652 1072

48 108 190 294 420

60 82 104 126

22 22 22

So calculating the 8th term , working from the last line to the first:

126 + 22 = 148

148 + 420 = 568

1072 + 568 = 1658

Finally the 8th number = 2322 + 1658 = 3980

7 0

2 years ago

A new record will be set if the temperature is less than –15°F. Which inequality shows the temperatures when a new record will b

Anika [276]

Answer:

A. t < –15

Step-by-step explanation:

The temperature has to be less than -15

t < -15

3 0

3 years ago