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3 years ago

13

chantal volunteered to bring 1 gallon of freshly squeezed orange juice to a picnic.the local grocery store sells 4-pound bags of

oranges for $3.49.each bag contains 11 to 12 oranges.after squeesing 2 oranges,chantal had 5 ounces of juice.estimate the number of 4-pound bags of oranges chantal needs to make 1 gallon of orange juice.use your estimate to determine the total cost of 1 gallon of freshly squeezed orange jucie.explain how you found your estimte

1 answer:

pochemuha3 years ago

6 0

(128 oz) * (2 oranges)/(5 oz) * (1 bag)/(11.5 oranges) * $3.49/bag ≈ $15.54

Note that we have assumed 11.5 oranges per bag, and that partial bags are available.

If Chantal must buy whole bags of oranges, 5 bags will be needed and the cost will be $17.45.

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A football is kicked into the air. The height of the football can be modeled by the equation

Alinara [238K]

Answer:

x = 0 and x = 1

Step-by-step explanation:

Given that,

A football is kicked into the air. The height of the football can be modeled by the equation :

$h = -16x^2 + 16x$

Where

h is the height reached by the ball after x seconds

When it touches the ground, h = 0

So,

$-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1$

So, it will touch the ground at x = 0 and x = 1 seconds.

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3 years ago

1. Which expressions are equivalent to -3(x - y)? Select all that apply. A. -3x + 3y B. -3x - 3y C. -3x - y D. -3x + -3y E. 3y -

Inessa [10]

Answer:

A and E

Step-by-step explanation:

-3(x - y) = -3x + 3y = 3y - 3x

A. E

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2 years ago

Solve help help ASAP

marissa [1.9K]

Answer:

It's B, -11/12

Step-by-step explanation:

6 0

3 years ago

A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat on the farm where y

Zepler [3.9K]

Given

A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.

One cubic foot holds 0.804 bushels

Find out bushels of wheat can be stored.

To proof

Formula

$Volume\ of\ a\ cylinder = \pi r^{2}h$

where r is the radius and h represent the height.

As given in the question

diameter = 15 feet 3 inches

height = 24 feet 4 inches

First convert inches into feet

I inches = 0.083 feet

15 feet 3 inches = 15 + 3 × 0.083

= 15.25 feet

Diameter = 15.25 feet

24 feet 4 inches = 24 + 4 ×0.083

= 24.33 feet

Height = 24.33 feet

$Radius\ of\ cylinder = \frac{Diameter}{2}$

Radius = 7.63 feet

$\pi = 3.14$

Put all the value in the above formula.

we get

Volume of the cylinder = 3.14× 7.63× 7.63× 24.33

= 4447.55 foot³ ( approx)

As given

One cubic foot holds 0.804 bushels

Total bushels of wheat can be stored = 4447.55×0.804

= 3575.83 ( approx)

Total bhushels of wheat stored are 3575.83 ( approx).

Hence proved

6 0

2 years ago

Read 2 more answers

Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

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3 years ago