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3 years ago

When given a problem in a real-world situation, how can you identify the slope and y-intercept?

1 answer:

7 0

The slope is how much something increases or decreases by at a constant rate, for example if johnny buys 3 oranges every time he goes to the store the slope would be 3. the y-intercept is how many things you start with so if johnny already had 5 oranges before he went to the store the y-intercept would be 5. the equation for that situation would by y=3x+5... 3x is the 3 oranges johnny buys each time he goes to the store (the slope) and 5 is how many oranges he started with before going to the store at all (y-intercept)

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motikmotik

Answer:

9) x = 89°

10) x = 118°

11) x = 145°

12) x = 40°

Step-by-step explanation:

9) 180-91 = 89

10) x = 118° because it is alternate interior to 118

11) x-30 = 115, x = 145

12) 4x-15 = 145, 4x = 160, x = 40

5 0

3 years ago

The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 65 women in this age group is selected. Wh

anzhelika [568]

Answer: The mean height of women in a country ages 20 29

The mean height of women in a country (ages 20-29) is 63.7 inches.

4 0

3 years ago

Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal

zaharov [31]

Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50

If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1

Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4

Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3

8 0

3 years ago

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

NemiM [27]

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

3 0

3 years ago

Tickets to a baseball game are 20 dollars for an adult and 15 dollars far a student. A school bus tickets for 45 adu6and 600 stu

yulyashka [42]

Answer:The total amount of money that the school will spend for tickets is $9900

Step-by-step explanation:

Tickets to a baseball game are 20 dollars for an adult and 15 dollars for a student. A school bus tickets for 45 adults and 600 students. This means that the total amount spent by the school on adult tickets is 20 × 45 = $900

The total amount spent by the school on students tickets is 15 × 600 = $9000

The total amount of money that the school will spend for tickets will be the sum of the amount spent on adult tickets and student tickets. It becomes

900 + 9000 = $9900

4 0

3 years ago