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2 years ago

How many 2/3-ounce packages of almonds can be made with 8 ounces of almonds?

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

ANSWER: 12 packages can be made.

Hope it helps u!

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Bond [772]

Answer:

The time that the rocket will hit the ground will be:

x = 17.40 seconds

Step-by-step explanation:

Given the expression

$f\left(x\right)\:=-16x^2+272x+110$

Here:

x represents the time in seconds

y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

$0\:=-16x^2+272x+110$

solving for x to determine the time that the rocket takes when it will hit the ground.

$-16x^2+272x+110=0$

subtract 110 from both sides

$-16x^2+272x+110-110=0-110$

$-16x^2+272x=-110$

Divide both sides by -16

$\frac{-16x^2+272x}{-16}=\frac{-110}{-16}$

$x^2-17x=\frac{55}{8}$

$\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}$

$\left(x-\frac{17}{2}\right)^2=\frac{633}{8}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{17}{2}=\sqrt{\frac{633}{8}}$

$x=\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = 17.40 seconds

also solving

$x-\frac{17}{2}=-\sqrt{\frac{633}{8}}$

$x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

x = 17.40 seconds

4 0

2 years ago

How do you solve a+(a+1)+(a+2)=48 step by step???

Tcecarenko [31]

Start with parenthesis first.
so a+a+2a+48
Then add all like terms.
4a=48
Then solve for a by dividing 4 from 48.
a=12

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3 years ago

What is the product? (y²+3y+ 7)(8y²+y+1)

Reptile [31]

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3 years ago

A right triangle is shown.

NeX [460]

Could you upload a photo?

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3 years ago

An angle in standard position measures 5pie/8 radians.

GrogVix [38]

Answer:

Step-by-step explanation:

It's easier to convert the angle into degrees.

5π/8 ≅ 112.5°, which is in quadrant II

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3 years ago