How do I answer #38? I was thinking 1/4...

Answers

Answer 1

Answer: look at the attached picture

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Solve the equation for x.
3(6x - 1) = 12

Answers

Answer:

soln

18x-3=12

18x=15

so,x=5/6

there are 2 small sweaters, 2 medium sweaters, and 1 large sweater in a bag. what is the probability that Lydia randomly pulls a medium sweater out of the bag? write the probability as a percent. please

Answers

This is the beginning of all probability problems.
Memorize it:

Probability =
(number of ways to be successful)
divided by
(total number of possibilities) .

What's the total number of possible ways to pull out one sweater ?
. . . . . There are 5 sweaters in the bag, so 5 total possibilities.

How many ways are there to pull out a medium sweater ?
. . . . . There are 2 medium sweaters in the bag.
. . . . . Lydia might pull out this one, or she might pull out that one.
. . . . . There are 2 ways to pull out a medium sweater.

Probability = 2 / 5 = 40% .

Now you've posted enough of these, and gotten answers with
explanations, so you should be able to do them on your own now.

the percent of getting a medium sweater is 0.2%

if on January 1st 2015 you decided to read 1001 Nights over the next 1001 Nights on which date would you finally finish

Answers

Well, one year is 365 days, and a leap year is every 4 years with an extra day, making leap years 366 days. 2016 is the nearest leap year. So, We take 365 from 1001 to get 636 days. Now it is January 1st 2016. So, subtract 366 from 636 to get 270 days. It is now January 1st 2017. There are 31 days in December, 30 in November, and 31 in October. Adding these together, you get 92. Subtracting 92 from 365, we get 273. So three days before October 1st is when you end. There are 30 days in September, so taking three away gives us the night of the 27th of September, 2017. So, the date you finish, if staying on a schedule of reading a bit each night, would be the night of September 27th, 2017, which is a Wednesday.

At the store, bottles of maple syrup are sold in packs of 2. Each pack costs $14. Jennie wants to buy 18 bottles of maple syrup. How much money will she spend?

Answers

Answer:

$126

Step-by-step explanation:

Since each pack of maple syrup contains 2 bottles, Jennie needs to buy 18/2 = 9 packs of maple syrup to get 18 bottles.

Each pack costs $14, so Jennie will spend 9 × $14 = $126 on the maple syrup.

Therefore, Jennie will spend $126 on 18 bottles of maple syrup.

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

$X = (-3ft +- √((3ft)^2 - 4*1*(-50ft^2)) )/(2) = (-3ft +-14.46ft )/(2)$

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

What is the slope of the line that passes through (3'-7)(-1'1)

Answers

Answer:

Slope of line passing through (3,-7) and (-1,1) = -2

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $(y_2-y_1)/(x_2-x_1)$

Here points are given by (3,-7) and (-1,1)

So we have (x₁,y₁) = (3,-7) and (x₂,y₂) = (-1,1)

Slope $=(1-(-7))/((-1)-3)=(8)/(-4) =-2$

Slope of line passing through (3,-7) and (-1,1) = -2

To solve for slope. Remember that slope, m= (change in y)-(change in x). So that means m= (y2-y1)/(x2-x1). Putting in the values we get (1--7)=(1+7)/(-1-3)= (8)/(-4)= -2. So m, or slope is -2.

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