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3 years ago

State the order of the given ordinary differential equation.

1 answer:

6 0

2nd Order because it contains a 2nd derivative ,y''

Linear because the y term is linear, in other words the y has no exponent, nor is it inside of a log or trig function.
ex:
ln(y) or sin(y) or e^y

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The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket

Hoochie [10]

Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.

Answer:

1300 children attended the basketball game

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500 [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050 [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x + 11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0

3 years ago

Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

$35x+10y=385$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

7 0

3 years ago

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Suppose Maya made another sign with an area of 48 square inches. Would this sign be larger or smaller than the sign with an area

luda_lava [24]

Larger because I want the points and you are going to get an F

6 0

3 years ago

In the following equation, a and b are both integers. a(3x-8)=b -18x

almond37 [142]

A = -6
b = 48
Hope this helps :)

3 0

3 years ago

What would this One be??

inn [45]

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

8 0

2 years ago

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