Please help me it’s really a struggle help help help

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

NEED HELP ASAP!! I'm doing trigonometry and I've been stuck on this problem I don't really understand it, if you could help that

Tems11 [23]

Answer:

6.1

Step-by-step explanation:

Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.

The short leg of these triangles (the base) is half the side length: ½ s.

According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.

Area of a triangle is half the base times the height:

A = ½bh

8 = ½ (½ s) (½ s√3)

8 = ⅛ s²√3

64 = s²√3

s² = 64/√3

s = √(64/√3)

s ≈ 6.1

4 0

3 years ago

You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.

Karolina [17]

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

6 0

1 year ago

36/45 reduced in the lowest terms

malfutka [58]