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Sauron [17]
2 years ago
7

In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio o

f apple juice to coconut milk to orange juice expressed in its simplest form?
Mathematics
1 answer:
Marizza181 [45]2 years ago
7 0

Answer:

1:18:6

Step-by-step explanation:

3:54:18

This equals 1:18:6

You might be interested in
A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how
sweet [91]

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

6 0
2 years ago
Let x = 8.99999 . (a) Is x < 9 or is x = 9? x < 9 It is neither; x > 9 x = 9 x < 9 and x = 9 It cannot be determined
qaws [65]

Answer: idk

Step-by-step explanation:

idk

4 0
2 years ago
Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which
vovangra [49]

Answer:

Option C.

Step-by-step explanation:

The vertices of triangle PQR are P(3, −6), Q(6, −9), and R(−15, 3).

It is given that triangle PQR dilated by a scale factor of 3 to obtain triangle P′Q′R′.

We know that a figure and its image after dilation are similar. It means triangle PQR and triangle P′Q′R′

If a figure dilated by factor k about the origin then

(x,y)\rightarrow (kx,ky)

PQR dilated by a scale factor of 3, so

(x,y)\rightarrow (3x,3y)

Using this rule we get

P(3,-6)\rightarrow P'(3(3),3(-6))=P'(9,-18)

Q(6,-9)\rightarrow Q'(3(6),3(-9))=Q'(18,-27)

R(-15,3)\rightarrow R'(3(-15),3(3))=R'(-45,9)

The vertices of image are P'(9,-18), Q'(18,-27) and R'(-45,9).

Therefore, the correct option is C.

6 0
2 years ago
Consider the curve y = x − x3. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of
Katena32 [7]

Answer:

a) mt = -2

b) y=2-2x

Step-by-step explanation:

We have y=x-x^{3}  ⇒  f(x)=x-x^{3} and we must find

a) The slope of the tangent line to the curve at the point (1,0)

b) The equation of the tangent line in part (a)

a) f(x)=x-x^{3} with the point (1,0) then f'(x) =1-3x^{2} the slope (mt) in x=1 is

f'(1)=1-3(1^{2})=1-3=-2  ,  m t= -2

b) mt=-2 at the point (1,0), knowing that the pending point model  is:

y-y_{1}=m(x-x_{1}), we solve y-0 = -2(x-1) ⇒ y=-2x+2

7 0
2 years ago
Tara takes her pulse in order to determine her resting heart rate, measured in beats per minute ( bpm ) (bpm)left parenthesis, s
laiz [17]

Answer:

Let x represent the number of minutes.

Lets y represents the number of beats.

Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).

Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)

Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values

3 0
2 years ago
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