write the equation of a line through ( -3, 5), parallel to y = -x.

y= ___ x + ___

The three equations that will emerge from the given matrix will be:

So, the equations for the given matrix will be:

[0. 2. 3. / 4]

[8 -1 -2  / 5 |

[2. 0. 1  / 9 ​]

Now, the equation will be:

Therefore, the three equations that will emerge from the given matrix will be:

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the width of the wall is 21 3/8 = 171/8

the width of a tile is 4 1/2 = 9/2

so the number of tiles is

(171/8) / (9/2) = 171x2 / (9 x8) = 4.75

so the no of tiles needed is 5.

The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true.

As given in the question,

If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them

a:b = c:d

a ÷b = c ÷d

ad = bc

let Sal earns $480 per week and he works 40hours per week

  480÷40 = 12

Lidia earn $300 per week and she works 25 hours per week

   300÷25 = 12

Cross product of their salaries is  

480×25=1200

300×40=1200

The ratio of their salaries and their product are equal.

Hence, The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true

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Normal time taken for operation = 7.7

Charlene's work performance is faster than normal time.

Need to define Charlene's average time:

8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6

Avg time taken= 8.5.

Performance rating = 110/100 = 1.1

normal time taken:  8.5/1.1

normal time taken= 7.7

hence, 8.5 [tex]\geq[/tex] 7.7

Charlene is faster than normal time.

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Take into account that the slope of a line is given by the following formula:

where (x1,y1) and (x2,y2) are two points on the line.

In this case:

(x1,y1) = (p,3)

(x2,y2) = (6,p)

By replacing the previous values into the formula for m, we get:

Now, by making m = 2 and solving for p, we obtain:

Hence, the value of p is p = 5

We know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.

Example:

So, we know that special products are multiplying special types of binomials which means that these binomials will be the factors of the product.

For example:

Therefore, we know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.

Example:

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Given data:

The given ratio is 9:27.

The given ratio can be written as,

Thus, the given ratio can be written as 1:3 so, second option is correct.

Based on the temperature at 6:00 am and the temperature at 6:00pm, the change in temperature can be shown by the formula D. |–5 – 7| = |–12| = 12°F.

To find the change in temperature, you need to subtract the temperature at 6: 00 pm from the temperature at 6: 00 am.

The change in temperature is therefore:

= | temperature at 6 am - temperature at 6pm |

= | -5 - 7 |

= | - 12 °F|

The absolute value of - 12 °F is 12 °F which was therefore the change in temperature.

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Triangles A, B, and C have a scale factor less than 1 in common

The figure that completes the question is added as an attachment

From the figure, we can see that triangles A, B, and C are smaller than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor less than 1 to form each of these triangles

This has just a slight difference to (a)

From the figure, we can see that triangles E, F, and G are bigger than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor greater than 1 to form each of these triangles

The conclusion about the scale factors is that

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Using the concept of inequality, it can be concluded that;

a) Maximum number of cargo boxes the forklift can carry is 16.

b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.

Let the no. of cargo box be x.

So the equation is 60x≤960

x≤960/60

x≤16

Now the 120 pound additional weight is needed so the equation is:

120 + 60x≤960

60x≤840

x≤14

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We have the monthly cost is fixed: $29.95.

The cost varies directly as the number of minutes since the total cost per month will be:

If we make a call and spend 30 minutes. We need to add this cost to the payment:

Given (x+ c) is a common factor of (x^2- ax- b )and (2x^2+b)

x= -c is a root of x^2- ax- b= 0 and x^2+ b= 0

Concept used

Quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

-b±√b²-4ac/2a

i) 1- 2a+b= 0

ii) 4+ b^b- 2a= 0

4- 2a+b=0,4+ b- 2a= 0

2a+b= 2c+d

2(c−a)= b−d

(c−a)/ (b−d)​= 2

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In order to calculate the total spending in the town each year, first, multiply by the 70% that is spent within the town,

Also, multiply by 70% of the amount people will spend after they receive it in town,

Answer:

The total spending in the town each year is $1,960,000

The line should be perpendicular to x = -4

x= -4 is a vertical line crossing the x axis at x= -4

The slope is undefined in x =-4

For an equation in slope intercept form, the general form is ;

y= mx + b where m is the slope and b is the y-intercept

So for any y value, x is always -4

Thus the slope for line x = -4 is not defined

A line perpendicular to x = -4 will thus be a horizontal line with slope 0

For the equation of this line

0= y--5/x-4

0 = y+5 /x-4

0{x-4} = y +5

0 = y+5

y= - 5

Answer: The slope is -0.7, the rise is -1.4, and the run is 2

By solving inequality, we can conclude that the artist will not make a profit if he sells 15 necklaces.

So, is the artist in profit if he sells 15 necklaces:

Inequality is 12n ≥ 170 +3.50n: (let n = 15)

Therefore, by solving inequality, we can conclude that the artist will not make a profit if he sells 15 necklaces.

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The correct question is given below:
A jewelry artist is selling necklaces at an art fair. It costs $170 to rent a booth at the fair. The cost of materials for each necklace is $3.50. The artist is selling the necklaces at $12 each. The inequality 12n> 170 +3.50n represents the situation in which the artist makes a profit. Will the artist make a profit if he sells 15 necklaces? Show how you know.

Time taken by the smaller hose to fill the pool on its own = 75 minutes

Time taken to fill the swimming pool by the larger hose and smaller hose working together = 30 minutes

Time taken by the larger hose to fill up the swimming pool = 50 minutes

Let 'x' be the time taken by the smaller hose to fill the swimming pool on its own.

In 30 minutes, the larger and smaller hoses together can fill the swimming pool. So in 1 minute, it can fill up 1/30 of the swimming pool.

In 50 minutes, the larger hose can fill up the swimming pool on its own. So the larger hose can fill up 1/50 of the pool in 1 minute.

It takes 'x' minutes for the smaller hose to fill up the pool on its own. So in 1 minute, the smaller hose alone can fill up 1/x of the pool.

Hence 1/30 = 1/x +1/50

⇒ 1/30 = (50+x)/50x

⇒ 30 = 50x/(50+x)

⇒ 30 (50 + x) = 50x

⇒ 1500 + 30x = 50x

⇒ 20x = 1500

⇒ x = 1500/20

⇒ x = 75 minutes.

Thus the smaller hose alone takes 75 minutes to fill up the pool.

The question is incomplete. Find the complete question below:

Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?

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Answer:

(4, - 8 )

Step-by-step explanation:

9x + y = 28 ( subtract 9x from both sides )

y = 28 - 9x → (1)

3x + 3y = - 12

substitute y = 28 - 9x into (2)

3x + 3(28 - 9x) = - 12 ← distribute parenthesis on left side and substitute

3x + 84 - 27x = - 12

- 24x + 84 = - 12 ( subtract 84 from both sides )

- 24x = - 96 ( divide both sides by - 24 )

x = 4

substitute x = 4 into (1)

y = 28 - 9(4) = 28 - 36 = - 8

solution is (4, - 8 )

The slope of the line through the points (6,5) and (4, 10) exists -5/2.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

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Answer:

35 yards above sea level

Step-by-step explanation:

12 + 38 - 15

50 - 15

35

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

How to calculate the probability distribution's mean: Steps

A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.

Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).

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SOLUTION

To get how many more stickers were shipped last month than this month, we simply subtract this month's shipment from last month's shipment.

This becomes

Therefore, the we have 1,000,000,000 to the nearest billion.

Option D is the correct answer

Proportionately, if there are 6 blue beads in the bag, and blue beards are 6 or 2/9 of the total beads, the number of purple beads in the bag is 21.

Proportion refers to the numerical ratio of a value to another.

Proportion shows the quantity of a value contained in another variable.

Since proportions are fractional values, like ratios, they are represented using decimals, fractions, and percentages.

The ratio of blue beards to purple beads = 2:7 or 2/9

The number of blue beads in the bag = 6

The total number of beads in the bag = 27 (6/2 x 9)

The number of purple beads in the bag = 21 (27 x 7/9)

Thus, based on the given proportional ratio of the blue beads to the purple beads, there are 21 purple beads in the bag.

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We have to indicate the steps to follow in order to evaluate:

(12.9-3.1) x 6.2-2 + 43

So FIRST: we solve for the operation indicated inside the parenthesis

12.9 - 3.1 = 9.8 (we subtract 3.1 from 12.9)

This is the answer you need to select.

Answer:

[tex]\displaystyle y = \frac{-2}{7}[/tex]

Step-by-step explanation:

   To solve, we will isolate the variable.

   Given:

-12/7 = 6y

   Divide:

[tex]\displaystyle \frac{\frac{-12}{7} }{6} =\frac{6y}{6}[/tex]

   Simplify the right side:

[tex]\displaystyle \frac{\frac{-12}{7} }{6} =y[/tex]

   "Keep, change, flip" on the left side:

[tex]\displaystyle \frac{-12}{7} *\frac{1}{6} = y[/tex]

   Multiply:

[tex]\displaystyle \frac{-12*1}{7*6}= y[/tex]

[tex]\displaystyle \frac{-12}{42}= y[/tex]

   Simplify and reflexive property:

[tex]\displaystyle y = \frac{-2}{7}[/tex]

Hello, in this question we will use the "Sinus Theorem".

The general formula of the Sine Theorem is as follows;

We are given the length of the two sides and the sine value of the angle of the unknown side. We also know the area of the triangle. Let's substitute the required values in this formula to get the result.

In the last step, we are left with a quadratic equation with one unknown. To solve this equation, we need to calculate the discriminant value.

There are only two roots of a quadratic equation with one unknown.

Thus our x values;

We cannot accept the first root [tex]x_1[/tex]. Because length cannot be a negative value.

Ans = [tex]x_{2}=\frac{-1+\sqrt{177} }{4}=3.076[/tex]

SOLUTION

We want to find which of the following values make the inequality

x ≤ 16.3 to be true.

This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.

The numbers that fall under here are 8, 1/4, -3 and 16.3

Hence the answer b, c, e and f

Given:

Initially, the cell phone was 80% charged.

Then started to lose 8% charge for each hour thereafter.

To find:

The equation for B in terms t