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Svet_ta [14]
4 years ago
7

How many solutions does the system 2y=10x-14 and 5x-y=7 have

Mathematics
2 answers:
kramer4 years ago
6 0

Answer:

All real numbers

Step-by-step explanation:

Take 2y=10x-14 and divide both sides by 2. Once you do that, you get y=5x-7. Use substitution and plug that into 5x-y=7. You get 5x-(5x-7)=7 which eventually simplifies to 7=7 which shows that you can plug in an infinite number of solutions so the answer is all real numbers.

Bezzdna [24]4 years ago
3 0

Answer: 1 solution at (2.8, 7)

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Is the following number rational or irrational? √15
Sladkaya [172]

Answer:

Irrational.

Step-by-step explanation:

√15 is irrational because although it can be written as a decimal, it cannot be written as a fraction, which is one of the main factors that defines what makes an irrational number.

4 0
3 years ago
A card is drawn at random from a deck of fifty-two cards. what is the probability of drawing a diamond, a card with an even numb
Elena-2011 [213]
The probability of a diamond is 13/52 = 1/4 So none of the diamonds can be used for the other 2 restrictions.

The even numbered cards are 2 4  8 10.
The 6 cannot be used, because it could come into the next category. Six is divisible by 3. 
These can come from clubs hearts and spades. 
So each even number has 3 suits it can come from
The number of cards in this category is 3 * 4 = 12
The probability of this occurring is 12/39 = 4/13

The cards divisible by 3 are
3 and 9 [Again you can't use the 6]
The Total number of cards are 2*3 = 6
The probability is 6/39 = 2/13

The total probability (without drawing a 6) is
1/4 + 2/13 + 4/13 = 37/52

The two categories where a 6 can turn up are equally likely so choosing the category is 1/2. the probability of a 6 turning up in the first category is 1/2* 3/39 = 3/78 = 1/26

The probability of the 6 turning up in the second category is 1/2 * 3/39 = 3/78 = 1/26 So these two numbers must added into the mix.

37/52 + 2(1/26) = 37/52 + 1/13 = 41/52
4 0
4 years ago
Read 2 more answers
The Lovin lemon company sells a 4 gallon jug of lemonade for $24 dollars. The sweet and Sour company sells an eight pack of 1 qu
aivan3 [116]

Answer:

lovin lemon co. sells 1 gallon for 24/4 = $6

sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8

3 0
4 years ago
347 students said that they played sports. 58% said that they played basketball. How many students play basketball?
aliya0001 [1]

Answer:

201 students play basketball.

Step-by-step explanation:

total students who played sports = 347

58 % played basketball.

That is ,

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Since number of students cannot be in decimals we take the nearest whole number = 201.

6 0
3 years ago
F(x)=6x-8<br> G(x)=-4x-7<br> Find 3f(x)-g(x)
miskamm [114]
3(6x-8)-(-4x-7)
18x-24+4x+7
ANSWER= 22x-17
7 0
3 years ago
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