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Phoenix [80]
1 year ago
14

Subtract 7x + 4y − 2z from 4x + 2y.

Mathematics
1 answer:
sukhopar [10]1 year ago
7 0

Answer:

-3x-6y-2z

Step-by-step explanation:

(4x - 2y)-(7x+4y-2z) = 4x-2y-7x-4y-2z = -3x-6y-2z

I hope that's the answer.

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Are the acute interior angles of a right triangle always complementary
Levart [38]
All the interior angles always sum up to 180. It doesn’t matter if they are all acute angles.
5 0
2 years ago
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10
Alborosie

Answer:

<em>The probability is 42%</em>

Step-by-step explanation:

<u>Conditional Probability</u>

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, P(A\cap B) is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

\displaystyle P(A)=\frac{24}{125}

The probability that he or she has both attributes is

\displaystyle P(A\cap B)=\frac{10}{125}

Thus, the required conditional probability is

\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}

\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42

The probability is 42%

5 0
2 years ago
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged a 7%
Tems11 [23]

Answer:

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

The store price is $12.00+50% more

The store price= $12.00 *(1+0.5)= $18.00

Final price (tax added)= $18.00 + 7%

Final price= $18.00 * (1 + 0.07)= $19.26

3 0
1 year ago
Read 2 more answers
Every $4,000 spent on cable TV will reach 160 fans while every $2,750 spent on radio ad will reach 125 fans. A stadium has estab
laila [671]

Answer:

Neither of the two advertising options meet the goal.

Step-by-step explanation:

Every $4,000 spent on cable TV will reach 160 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by \frac{4000 \times 200000}{160} = 5000000 dollars i.e. $5 million which is greater than the budget of $3 million.

Now, every $2,750 spent on radio ads will reach 125 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by \frac{2750 \times 200000}{125} = 4500000 dollars i.e. $4.5 million which is again greater than the budget of $3 million.

Therefore, neither of the two advertising options meet the goal. (Answer)

8 0
1 year ago
Given 8x-3y=-21, 3x+y=-10; Prove x=-3
Mashcka [7]
The numbers start from the top
3 0
1 year ago
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