You need 1 1/4 cups of sugar to make 20 cookiesTo make 12 cookies, you will need ___ cups of sugar.

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points and is given by,

m =

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

Answer:

1, 3 and 4. I had the same question on my assignment :)

Step-by-step explanation:

Answer:

-82°

Step-by-step explanation:

If we go 82° below 0, that means that instead of increasing by 82, we are decreasing by 82.

If we decrease to a number below 0, it becomes a negative number.

For example: If we decrease 10° from 0, we'd be at -10°.

Likewise, if we decrease 2° from 0, we'd be at -2°.

Following this pattern, if we decrease 82° from 0, we'd be at -82°.

Hope this helped!

Answer:

68% of the incomes lie between $36,400 and $38,000.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  $37,200

Standard Deviation, σ = $800

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical rule:

• Almost all the data lies within three standard deviation of mean for a normally distributed data.
• About 68% of data lies within one standard deviation of mean.
• About 95% of data lies within two standard deviation of mean.
• About 99.7% of data lies within three standard deviation of mean.

Thus, 68% of data lies within one standard deviation.

Thus, 68% of the incomes lie between $36,400 and $38,000.

Answer:

y= 8th grade class,

y + 24 =160

subtract 24 from both sides

y=136

there are 136 students in the eight grade class

Step-by-step explanation:

Answer:

136 students

Step-by-step explanation:

7th grade= 160 students

8th grade= g students

g= 160-24

g= 136 students

- I hope this helps have a great day!

Answer: Then the two possible values of x are 53 and -14

Step-by-step explanation:

When we have a set of numbers

{a, b, c, d, e}

The range will be equal to the difference between the larger number and the smaller number.

In our case, the set is:

{26, 33, 46, x, 9, 7, 10, 11}

First, we need to see than largest and smallest numbers in the set (ignoring x)

The largest is 46

the smallest is 7.

Now, if we considerate that x is the smallest number in the set, we will have that:

46 - x = 60

x = 46 - 60 = -14

If x is the largest number on the set, we have that:

x - 7 = 60

x = 60 - 7 = 53

Then the two possible values of x are 53 and -14

Answer: $31 & It would be 6 trips!

Step-by-step explanation: 6 trips x $3 for the trips, is $18 plus the $13 to get in the park, would be equivalent to $31

Answer:

if she rides the slides 6 times, the costs will be the same: $31

Step-by-step explanation:

You can write an equation in order to solve this problem. Since you are trying to find how many trips using the (3t + 13) plan are equal to the plan that costs 31, the equation would be:

31 = 3t + 13

= 18 = 3t

= 6 = t

(3t + 13 stands for $3 a trip plus $13 entry fee)

This means that if Carla takes 6 trips using either plan, they will cost the same; both would cost $31.