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3 years ago

Which equation describes a line having a slope of -3/4 and a y-intercept of 5/2?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

the answer is c most likely

Step-by-step explanation:

Marina CMI [18]3 years ago

5 0

Answer:

C. 3x + 4y = 10

Step-by-step explanation:

We shall change all the equation to the slope-intercept form, to get their slope and intercept.

To do the above, we will change it to the form y=mx + c

option A

4x + 3y = -10

subtract 4x from both-side of the equation

4x-4x + 3y = -4x - 10

3y = -4x - 10

Divide through the equation by 3

y = -4/3 x - 10/3

comparing the above equation with y=mx + c

The slope(m) is -4/3 and the intercept(c) is -10/3

OPTION B

4x + 3y = 10

Its almost the same with option A, except with the fact that the 10 is having a positive sign. This implies that its slope m = -4/3 and intercept(c) =10/3

OPTION C

3x + 4y = 10

Subtract 3x frrom both-side of the equation

3x - 3x + 4y =-3x + 10

4y = -3x + 10

Divide through the equation by 4

4y/4 = -3x /4 + 10/4

y = -3/4x + 5/2

Comparing the above equation by y=mx + c

The slope (m) =-3/4 and the intercept(c) =5/2

Therefore the equation which describe a line having a slope of -3/4 and y-intercept 5/2 is 3x + 4y = 10

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If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

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(100 + 25) ÷ 100 = 1.25

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---> 64 x 1.25 = 80 responses

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Finally, on day 4, there will be:

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A quicker way of getting this would be to do:

64 x 1.25³ since you are multiplying by 1.25 3 times

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Answer:

125 responses

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3 years ago

in a class of 40 students, 24 are over the age of 21 and 16 are 21 or younger. Biff is over the age of 21. A student is selected

LenKa [72]

Answer:

3. 60% probability the student is over the age of 21.4

4. 4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. 0% probability Biff was selected if you know the student selected was 21 or younger

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

In this question:

40 students

24 over the age of 21.

16 are 21 or younger.

3. Find the probability the student is over the age of 21.

24 of the 40 students are over the age of 21.

24/40 = 0.6

60% probability the student is over the age of 21.4

4. Find the probability Biff was selected if you know the student selected was over the age of 21.

24 students over the age of 21, one of which is Biff.

1/24 = 0.0417

4.17% probability Biff was selected if you know the student selected was over the age of 21.

5. Find the probability Biff was selected if you know the student selected was 21 or younger

Biff is not 21 or younger, he is over 21, so there are no desired outcomes.

So, 0% probability Biff was selected if you know the student selected was 21 or younger

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3 years ago

Find the missing number 390x__=390,000 Answers A 10^2 B 10^3 C 10^4 D 10^5

exis [7]

Answer:

B. 10 to the third power

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3 years ago

Read 2 more answers

A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

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3 years ago

Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number

stepan [7]

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

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3 years ago