Express 2.7 as a fraction of 3.6 giving your ansver as a fraction in its lowest terms.

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

On adding the fractions:

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

Multiplying both sides by 4 we get:

⇒ $12x=63$

Dividing both sides by 12 we get:

⇒ $x=\frac{63}{12}$

Dividing numerator and denominator by 3 on R.H.S we get:

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

3 years ago

I honestly just don't get this question. I'll give 30 points!!!

Svetllana [295]

I wish I could help but but I can't I'm dumb as a box of rocks

7 0

3 years ago

Read 2 more answers

Find the coordinates of the point (a, b).

Leviafan [203]

Answer:

a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

Sin(45) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 = $\frac{\sqrt{2} }{2}$

Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a = Cos(45)*1 = $\frac{1}{\sqrt{2} }$

So: a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

5 0

3 years ago

I need help very fast please!

postnew [5]

I’m not sure maybe D

7 0

2 years ago

Read 2 more answers

Doug took 93 minutes to answer 31 questions. Click on the equation that can be used to determine the number of questions, q, tha

melisa1 [442]

Answer:

3 questions

Step-by-step explanation:

93/31

5 0

2 years ago