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2 years ago

Simplify the expression: (6y + 10) - (2y + 3)show work plss

Mathematics

2 answers:

yulyashka [42]2 years ago

8 0

Answer:

$8y + 7$

Step-by-step explanation:

$(6y + 10) - (2y + 3)$

Change the things in the negative parentheses.

$(6y + 10) - ( - 2y - 3)$

Take away parentheses. (Two negative turn into positive.)

$6y + 10 + 2y - 3$

Count the numbers by themselves and the letters by themselves.

$6y + 2y = 8y \\ + 10 - 3 = + 7$

Then we have

$8y + 7$

tigry1 [53]2 years ago

7 0

Answer:

(6y + 10) - (2y + 3)

6y + 10 - 2y - 3

4y + 7

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3 years ago

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha

s2008m [1.1K]

Answer:

Part 1) The lateral area of the cone is $LA=2\pi\ cm^{2}$

Part 2) The lateral surface area of the cylinder is $LA=36\pi\ cm^{2}$

Part 3) The surface area of the crayon is $SA=41.50\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=1\ cm$

$l=2\ cm$

substitute

$LA=\pi (1)(2)$

$LA=2\pi\ cm^{2}$

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

$LA=2\pi rh$

we have

$r=1.5\ cm$

$h=12\ cm$

substitute

$LA=2\pi (1.5)(12)$

$LA=36\pi\ cm^{2}$

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

Find the area of the bottom base of the crayon

$A=\pi[r2^{2}-r1^{2}]$

where

r2 is the radius of the cylinder

r1 is the radius of the cone

substitute

$A=\pi[1.5^{2}-1^{2}]$

$A=1.25\pi\ cm^{2}$

Find the area of the top base of the cylinder

$A=\pi(1.5)^{2}=2.25\pi\ cm^{2}$

Find the surface area

$SA=2\pi+36\pi+2.25\pi+1.25\pi=41.50\pi\ cm^{2}$

8 0

3 years ago

Read 2 more answers

Please factorize this for me

irinina [24]

9b - 12b² factorised would be 3b(3 - 4b).

You can find this as you must first find a common factor between 9b and -12b², which would be 3b. We can then take this out of the bracket and divide both terms by 3b to get the final answer, which leaves us with 3b(3 - 4b).

I hope this helps!

5 0

3 years ago

Read 2 more answers