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3 years ago

Francine uses \dfrac23

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

If Francine uses 1/3 cup of pineapple juice for every 1/2 cup of orange juice to make a smoothie then:

1/3 cup of pineapple = 1/2cup of juice

We need to know the amount he will use for 1 cup of Orange juice, say;

x cup of pineapple = 1cup of Orange juice

Equating both

1/3 cup of pineapple = 1/2cup of juice

x cup of pineapple = 1cup of Orange juice

Cross multiply

1/2 × x = 1/3 × 1

x/2 = 1/3

3x = 2

x = 2/3

Hence he will need 2/3 cups of pineapple for 1 cup of Orange juice

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Please help!!! I'll give 25 points plus brainliest.

Vladimir79 [104]

Answer:

(b) 26.6 days

Step-by-step explanation:

Half life, T = 4 days

initial amount, No = 100 mg

(a) The exponential function is given by

$N = No e^{-\lambda t}\\\\N = No e^{\frac{-0.693t}{T}}\\\\N = No e^{\frac{-0.693t}{4}}\\\\N = No e^{\frac{-0.17325t}{T}}\\\\$

where, N is the amount left.

(b) N = 1 mg

$N = No e^{\frac{-0.17325t}{4}}\\\\1 = 100 e^{\frac{-0.17325t}{4}}\\\\4.605 = 0.17325 t \\\\t=26.6 days$

6 0

3 years ago

Which of these points does not change its location when it is reflected across the y-axis? A (2, 0) b (0, 6) c (3, 3) d (5, 5)

Andru [333]

Answer:

B. (0,6)

Step-by-step explanation:

To solve this question, you'll need to figure out what the final point is after reflecting each point. A quick way to figure this out is by multiplying (-1) to the x-coordinate.

When you reflect A. (2,0) over the y-axis, the point becomes (-2,0).

When you reflect C. (3,3) over the y-axis, the point becomes (-3,3).

When you reflect D. (5,5) over the y-axis, the point becomes (-5,5).

The only answer that does not change location is B. (0,6) as it stays at (0,6). If you multiply 0 by any number, it will always stay 0.

Multiplying the x-coordinate by (-1) to find the reflection point only works if you are reflecting it over the y-axis. You would multiple the y-coordinate by (-1) if you were reflecting over the x-axis.

4 0

3 years ago

Read 2 more answers

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

natta225 [31]

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

$R (1, 1),\\S (3, 1)\ and\\T (1, 6)$