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Harlamova29_29 [7]
2 years ago
11

32. The debate team plans to make and sell trail

Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

Answer:

C

Step-by-step explanation:

The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p

The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34

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A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator
JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

\frac{37}{19}* \frac{3}{1}= 37!\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}= 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

\frac{40}{20}= \frac{40!}{20!(40-20!)}=137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0
3 years ago
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

3 0
3 years ago
What is the value of the following expression?
monitta

The expression (−81)(−9)  will give the value of 729.

<u>Step-by-step explanation:</u>

The given expression is (−81)(−9) .

The both numbers in the expression are negative numbers and they are given inside the brackets.

This means that, the negative numbers must be multiplied to get a final value.

<u>The rules in multiplication are :</u>

  • Positive number × Positive number = positive number
  • Negative number × Positive number = negative number
  • Positive number × Negative number = negative number
  • Negative number × Negative number = positive number

From the rules, it can be determined that the result of any two negative numbers will be a positive number.

So, eliminate option A) and B) because they have negative sign.

The expression (−81)(−9) = -81 × -9

⇒ 729.

Therefore, the option C) and D) are not in match with 729. None of the options are not the value of the given expression (−81)(−9).

6 0
3 years ago
Solve the Percent Discount Application.
shusha [124]
79.90*0.8= 63.92

Answer
63.92
5 0
1 year ago
The product of a number and 4 increased by 16 is -2
Thepotemich [5.8K]
This is some simple Algebra
So it's 4x+16=-2
We subtract 16 from both sides
4x=-18
Sivide both sides by 4
X=-4.5
If you need more of an explanation I am happy to elaborate
5 0
3 years ago
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