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3 years ago

Read the problem.

Mathematics

2 answers:

inna [77]3 years ago

4 0

Answer:

300

Step-by-step explanation:

120÷40=3

3×100=300

dividing 120 by 4 will get you 1% so then to find 100% you multiple by 100

Viefleur [7K]3 years ago

3 0

Answer:

300

Step-by-step explanation:

The total number of desserts is x. we don't know what it is.

40% of all the desserts are cookies.

That is 40% of x.

We are told that 120 of the desserts are cookies.

That means that 40% of all desserts amount to 120.

40% of x = 120

0.4x = 120

Divide both sides by 0.4

0.4x/0.4 = 120/0.4

x = 300

Answer: In all there are 300 desserts.

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Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

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4 years ago

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