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2 years ago

How many numbers of solutions are there for the following equation 2(4x+1) −5x +2 = 3x+4

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

8 0

Answer:

infinite solutions

Step-by-step explanation:

2(4x+1) −5x +2 = 3x+4

Distribute

8x +2 -5x +2 =3x+4

Combine like terms

3x +4 = 3x+4

Subtract 3x from each side

3x-3x+4 = 3x-3x+4

4=4

This is always true, so there are infinite solutions

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Shane bought lunch for $5.38 and a shirt for $15.95. He then used the rest of his money to buy a book. He spent a total of $38.1

barxatty [35]

You add $5.38 & $15.95, which equals $21.33. Then subtract $21.33 from $38.12. Your answer is $16.79. That's how much Shane spent on the book.

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2 years ago

Calculate the angle of a sector of 50° and a radius of 4cm

Anastasy [175]

Answer: 20π/9 cm²

Step-by-step explanation:

Central angle is given as = 50°

We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.

Area of the sector = 5/36 × πr².

= 5/16 × π × 4²

= 5/36 × π × 16

= 80π/36

= 20π/9 cm²

7 0

2 years ago

How many terms are in 10y2-3y+8

Sergio [31]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find how many terms are in $\pmb{10y^2-3y+8}$ .

$\triangle~\fbox{\bf{KEY:}}$

A term is a thing that's added or subtracted.

So let's compute the number of terms in this expression.

The first term is $\pmb{10y^2}$ .

Is anything added or subtracted from 10y²?

Sure! $\pmb{-3y}$ is subtracted from 10y².

Also, 8 is added to -3y.

Thus, this expression has 3 terms.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

4 0

1 year ago

Simplify the expression 26 · 268

Gre4nikov [31]

Answer:

$26 * 26^8 = 5.4295037e+12.$

Step-by-step explanation:

$26^8 = 208,827,064,576.\\26 * 208,827,064,576 = 5.42950373e+12.$

hope this helps.

6 0

2 years ago

Simplify the expression: a. b^2+49–(b–7)^2 b. 2a+6b)^2–24ab

klemol [59]

Part a b2+49−(b−7)2

Distribute:

=b2+49+−b2+14b+−49

Combine Like Terms:

=b2+49+−b2+14b+−49

=(b2+−b2)+(14b)+(49+−49)

=14b

Answer:

=14b
part b

(2a+6b)2−24ab

Distribute:

=4a2+24ab+36b2+−24ab

Combine Like Terms:

=4a2+24ab+36b2+−24ab

=(4a2)+(24ab+−24ab)+(36b2)

=4a2+36b2

Answer:

=4a2+36b2

5 0

3 years ago