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soldier1979 [14.2K]
3 years ago
6

In a fruit cocktail, for every 12 ml of orange juice you need 8 ml of apple juice and 100 ml of coconut milk. What is the ratio

of apple juice to coconut milk to orange juice expressed in its simplest form?
Mathematics
2 answers:
timofeeve [1]3 years ago
4 0

Answer:

4:25:6

Step-by-step explanation:

I hope it helped

Elden [556K]3 years ago
3 0

Answer:

4:25

Step-by-step explanation:

8ml : 100ml

dividing both sides by 4ml

2: 25

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length
Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola:   y=k (x-\frac13)^2

<u />

<u>Part 1</u>

If the curve passes through point (\frac23 ,1), this means that when x=\dfrac23, y = 1

Substitute these values into the equation and solve for k:

\implies 1=k \left(\dfrac23-\dfrac13\right)^2

\implies 1=k \left(\dfrac13 \right)^2

Apply the exponent rule \left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c} :

\implies 1=k \left(\dfrac{1^2}{3^2} \right)

\implies 1=\dfrac{1}{9}k

\implies k=9

<u>Part 2</u>

  • The chord of a parabola is a line segment whose endpoints are points on the parabola.  

We are told that one end of the chord is at (\frac23 ,1) and that the chord is horizontal.  Therefore, the y-coordinate of the other end of the chord will also be 1.  Substitute y = 1  into the equation for the parabola and solve for x:

\implies 1=9 \left(x-\dfrac13 \right)^2

\implies \dfrac19 = \left(x-\dfrac13 \right)^2

\implies \sqrt{\dfrac19}  = x-\dfrac13

\implies \pm \dfrac13  = x-\dfrac13

\implies x=\dfrac23, x=0

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:  

\implies \dfrac23-0=\dfrac23

**Please see attached diagram for drawn graph. Chord is in red**

6 0
1 year ago
Factorize the pynomial f(x)=x³-7x-6 completely​
Makovka662 [10]

Answer:

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4 0
3 years ago
The best player on a basketball team makes 85% of all free throws. The second-best player makes
xxTIMURxx [149]

Answer:

i. Estimated number of free throws of the best player = 0.85 * 40

ii. 34 free throws

Step-by-step explanation:

Percentage of free throws made by the best player = 85%

Percentage of free throws made by the second best player = 75%

Percentage of free throws made by the third best player = 70%

Therefore, for 40 attempts;

i. Estimated number of free throws made by the best player = 85% x 40

                                                         = 0.85 x 40

                                                         = 34

ii. Estimated number of free throws made by the second best player = 75%x 40

                                                                 = 0.75 x 40

                                                                 = 30

iii. Estimated number of free throws made by the third best player = 70% x 40

                                                                   = 0.70 x 40

                                                                   = 28

Thus, the equation that gives the estimated number of free throws is 0.85 * 40.

The best player will make about 34 free throws.

8 0
3 years ago
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4&lt;12 ? DUE BY 10:50
Marrrta [24]

-x/2+4<12

      -4  -4

-x/2<8

  *2  *2

-x<16

/-1 /-1

x<-16

---

hope it helps

4 0
2 years ago
I need the answer to the problem
Nookie1986 [14]

4/9 x 7/4 = 28/36 = 7/9

Answer is 7/9

7 0
3 years ago
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