21. Line p passes through Point (-4,1) and has a slope of 5 What is the equation of Line p in standard form?
A)2x - 5y = 22
B)2x - 5y = - 13
C)5x - 2y = 13
D) 5x - 2y = -22

Answers

Answer 1

Answer:

Step-by-step explanation:

Point( -4 , 1)  ; slope = m = 5

Point-slope form:

y - y1 = m(x -x1)

y - 1 = 5(x - [-4])

y - 1 = 5(x + 4)

y - 1 = 5x + 5*4

y - 1 = 5x + 20

    y = 5x + 20 + 1

   y= 5x + 21


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Find the probability of rolling a 4 or less on the first die, and a 5 or less on the second die

Answers

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

Hello, I need help with radical expressions. I've tried looking it up, but I'm getting no solutions. 11^3sqrt(x-12)=66

Answers

Answer:

Here we want to solve the equation:

[tex]11^3\sqrt{x-12} = 66[/tex]

First, we can divide both sides by 11^3 to get:

[tex](11^3\sqrt{x-12})/11^3 = 66/11^3[/tex]

[tex]\sqrt{x - 2} = 66/11^3[/tex]

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

[tex](\sqrt{x - 2})^2 = (66/11^3)^2[/tex]

now we need to solve:

[tex]x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002[/tex]

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A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?

Answers

Answer: You can save 15% or more on car insurance when you switch to Geico

Step-by-step explanation:

The difference in sale prices between the two stores is $4.5.

What is discount?

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a $30 sweater is on sale for 20% off at Kohls.

Here, sales price = 30-20% of 30

= 30-20/100 ×30

= 30- 0.2×30

= 30-6

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The same $30 sweater is on sale at Macy's for $5 off the price.

Here, sales price = 30-5% of 30

= 30-5/100 ×30

= 30- 0.05×30

= 30-1.5

= $28.5

So, difference in price = 28.5-24

= $4.5

Therefore, the difference in sale prices between the two stores is $4.5.

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3/9=X/27
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Answers

3/9=X/27

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What is the total area of each garden bed has a length of 4 feet Amelia

Answers

64 feet squared because 4 cubes

Answer:

48 ft^2.

Step-by-step explanation:

In this case, our formula is known as 3s^2 which can be written out as 3 x s x s or 3(s x s). S is the variable to represent our length and width because the formula for finding the area is l x w which can be written out as length x width. If the total area of each garden bed has a length of 4 feet, our equation would be 3(4 x 4) or 3 x 4 x 4 or 3(4)^2. 4 x 4 or 4^2 is 16. If we multiply 16 by 3, the answer would be 48. That is why the total area of each garden bed would be 48 ft^2.

You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance

Answers

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

[tex]Game\ 1 = 95[/tex]

[tex]Game\ 2 = 91[/tex]

[tex]Game\ 3 = 77[/tex]

[tex]Game\ 4 =89[/tex]

[tex]Mean = 90[/tex] at least

Required

The score in game 5 to make you advance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]

[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]

The mean must be at least 90.

So, we have:

[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]

Multiply both sides by 5

[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]

[tex]352 + Game\ 5 \ge 450[/tex]

Make Game 5 the subject

[tex]Game\ 5 \ge450 - 352[/tex]

[tex]Game\ 5 \ge 98[/tex]

At least 98 is needed in the 5th game

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Answers

Answer:

0.88 cubic inches

Step-by-step explanation:

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the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?

Answers

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

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The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

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Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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Answers

Answer:

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Step-by-step explanation:

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As total weight of all the oranges were distributed equally,

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Answers

Answer:

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Step-by-step explanation:

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