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3 years ago

A grocery store sells almonds for $7/1b and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

Answer:

7x+ 5y <= 10

Step-by-step explanation:

As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.

It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.

On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.

Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is

7x+ 5y <= 10

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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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

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