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Fiesta28 [93]
3 years ago
6

If there are four times as many trumpet players than flute players in an orchestra, and there are 70 trumpet AND flute players h

ow many flute players are there?
*Please help:(

Mathematics
1 answer:
den301095 [7]3 years ago
5 0
17 is the answer to your question
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Let p, q, and r represent the following statements"
-BARSIC- [3]

Answer:

Step-by-step explanation:

$$a. Sam had pizza last night and Chris finished her homework.\\p\wedge q\\\\$b. Chris did not finish her homework and Pat watched the news this morning.$\\\neg q \wedge r\\\\$c. Sam did not have pizza last night or Chris did not finish her homework.$\\\neg p \vee \neg q\\\\

$$d. Either Chris finished her homework or Pat watched the news this morning, but not both.$\\q\vee r\\\\$e. If Sam had pizza last night then Chris finished her homework.$\\p \rightarrow q\\\\$f. Pat watched the news this morning only if Sam had pizza last night.$\\p\leftrightarrow r\\\\

$$g. Chris finished her homework if Sam did not have pizza last night.$\\\neg p \rightarrow q\\\\$h. It is not the case that if Sam had pizza last night, then Pat watched the news this morning.$\\\neg (p\rightarrow r)\\\\

$$i. Sam did not have pizza last night and Chris finished her homework implies that Pat watched the news this morning.$\\(\neg p \wedge q) \Rightarrow r\\\\ $j. q\Rightarrow r$\\Chris finished her homework implies that Pat watched the news this morning.\\\\

$$k. p \Rightarrow (q \wedge r)$\\Sam has pizza last night implies that Chris finished her homework and Pat watched the news this morning.$\\\\

$$l. \neg p \Rightarrow (q \vee r)$\\Sam did not have pizza last night implies that Chris finished her homework or Pat watched the news this morning.$\\\\

$$m. r \Rightarrow (p \vee q)$\\Pat watched the news this morning implies that Sam had pizza last night or Chris finished her homework$

3 0
3 years ago
A soccer field is 100 meters long. What could the length in yards
Zolol [24]

Answer:

109 yards.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Factor by grouping. 9c^3-12c^2+18c-24
xeze [42]

Answer:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

Step-by-step explanation:

Given

9c^3 - 12c^2 - 18c - 24

Required

Factor

Group into 2

[9c^3 - 12c^2] - [18c + 24]

Factorize each group

3c^2[3c - 4] - 6[3c - 4]

Factor out 3c - 4

[3c^2 - 6][3c - 4]

Hence:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

8 0
2 years ago
A bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are
nikitadnepr [17]

Answer:

Step-by-step explanation:

4 0
2 years ago
PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0
3 years ago
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