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2 years ago

Trisha bought a carton of orange juice. She drank 1/3 of the carton on Monday

Mathematics

2 answers:

attashe74 [19]2 years ago

8 0

Answer:

3\4

Step-by-step explanation:

Luden [163]2 years ago

4 0

Answer:

3/4 of the carton has been drank.

Step-by-step explanation:

Given that:

She drank on Monday = 1/3 of carton

She drank on Tuesday = 5/12 of carton

Total fraction drank = 1/3 + 5/12

Taking LCM to make denominators same:

Total fraction drank = 1/3 * 4/4 + 5/12

Total fraction drank = 4/12 + 5/12

Total fraction drank = 9/12

Reducing the obtained answer we get

Total fraction drank = 3/4

So 3/4 of the carton has been drank.

i hope it will help you!

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

Katarina [22]

Answer:

$2x+178\geq 2000$

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. $x+(x+178)\geq 2000$

i.e. $2x+178\geq 2000$

Thus, the required inequality is $2x+178\geq 2000$ .

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2 years ago

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disa [49]

Answer:

Which expression is equivalent to RootIndex 3 StartRoot 64 a Superscript 6 Baseline b Superscript 7 Baseline c Superscript 9 Baseline EndRoot?

2 a b c squared (RootIndex 3 StartRoot 4 a squared b cubed c EndRoot)

4 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)

8 a cubed b cubed c Superscript 4 Baseline (RootIndex 3 StartRoot b c EndRoot)

8 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)

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2 years ago

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Chris has a large collection of hockey cards and wants to get rid of some of his hockey cards he gives 2 cars away on day 1,4 ca

Marizza181 [45]

Answer:

I'm not sure for which answer you're asking for so I'll give you all of them. On the tenth day, Chris will give away 1024 cards.

Step-by-step explanation:

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2 years ago

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ycow [4]

Answer:

A. Given

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Step-by-step explanation:

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2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

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