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Sergio039 [100]

1 year ago

8

Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the

same amount of each fruit. Maylin believes the greatest number of baskets they can make is 6, and Nina believes the greatest number of baskets they can make is 9.
Determine who is correct. Explain how you know.

1 answer:

bonufazy [111]1 year ago

8 0

Answer:

Nina

Step-by-step explanation:

With the amount of fruits they have, Maylins is not correct as 36 apples in 6 baskets works but 27 apples in 6 baskets would not work as a whole apple would be left out. Nina's amount of 9 baskets with 36 apples 27 bananas and 18 oranges equals out to (4, 3, 2) which is even distributed and therefore you answer.

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A point P(x,y) moves along the graph of the equation y = x3 + x2 + 2. The x-values are changing at the rate of 2 units per secon

CaHeK987 [17]

Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.

---------------------

The equation is:

$y = x^3 + x^2 + 2$

Applying implicit differentiation in function of t, we have that:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

x-values changing at a rate of 2 units per second means that $\frac{dx}{dt} = 2$
Point Q(1,4) means that $x = 1, y = 4$ .

We want to find $\frac{dy}{dt}$ , thus:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

$\frac{dy}{dt} = 3(1)^2(2) + 2(1)(2) = 6 + 4 = 10$

y is changing at a rate of 10 units per second.

A similar problem is given at brainly.com/question/9543179

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2 years ago

John jogs 30miles every week .there are 52 weeks in a year. How many miles does john jog in a year?

tia_tia [17]

Answer:

John would be running 1560 miles in a year

8 0

2 years ago

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3/4(12x−8)+3=10−1/2(6x+2)

Aleonysh [2.5K]

Answer:

$x=1$

Step-by-step explanation:

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$(9x-6)+3=10-(3x+1)$

$9x-6+3=10-3x-1$

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8 0

1 year ago

A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,

8_murik_8 [283]

Answer:

$f(x) = -6x +120$

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

$y = mx + b$

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

$m=\frac{y_2-y_1}{x_2-x_1}$ and $b=y_1-mx_1$

In this case: $(x_1, y_1) = (5, 90)$ and $(x_2, y_2) = (10, 60)$

Then:

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2 years ago

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Maslowich

Answer:

225%

Step-by-step explanation:

1. Divide the new weight by the original weight.

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2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

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