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Nutka1998 [239]
3 years ago
6

a baker has 6 pounds of sugar. she divides them equally into 4 containers. she then uses 1 container to bake pies.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0
Hello,

<span>6 pounds of sugar ÷ 4 containers = 1.5 of sugar.
1.5 of sugar was used to make the pie.</span>
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A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people
Anastaziya [24]

Answer:

\frac{1}{4} lbs/person

Step-by-step explanation:

Here is the complete question: Find the rate of change for the situation:

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Given: 1st situation, A chef cook 9 lbs chicken for 36 people.

           2nd situation, chef cook 17 lbs chicken for 68 people.

∴ 1st situation, weight of chicken per person= \frac{9\ lbs}{36\ person} = \frac{9}{36}

  Weight of chicken per person= \frac{1}{4} lbs/ person

2nd situation, weight of chicken per person= \frac{17\ lbs}{68\ person} = \frac{17}{68}

Weight of chicken per person= \frac{1}{4} lbs/ person

In both the situation chef cook same amount of chicken per person, which is \frac{1}{4} lbs/ person

∴ Rate of change is \frac{1}{4} lbs/ person

5 0
3 years ago
Solve 2x + 5 = 12 please help ​
kherson [118]

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

3 0
3 years ago
How to graph an inequality y&lt;1-2x
miskamm [114]

Answer:

Step-by-step explanation:

5 0
3 years ago
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next
castortr0y [4]

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

y = A cos bx + c

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

<h3>What is the formula for the amplitude?</h3>

A = 1/2 (Xmax - Xmin)

12 - 2 / 2 = 10/2 = 5

b = 2 pi / 12 = pi/6

c = 1/2 (Xmax + Xmin)

12+2/2 = 7

Therefore, the an equation for water level in june for pensacola as a function of time (t)

f(t) = 5 cos pi/6 t + 7

To learn more about the function of time visit:

brainly.com/question/24872445

3 0
2 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
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