In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins . In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning

It is non-proportional. The graph is in a straight line but doesn't cross the origin!

Unproportional. For it to be proportional, the line should go through the origin (0,0).

x+15.09= -2.57

x= -17.66

If you want the value of x: you would have to subtract -15.09 on both sides.

x+15.09-15.09=-2.57-15.09

x=-17.66

First, find the slope of the line that goes through the 2 given points, which you should know how to do.  Call it m.  Then a perpendicular line must have a slope of -1/m.  The slope-intercept form of the equation you seek is

y = (-1/m)x + b,

where b is any real number.  Examine the list of choices, and pick any that have a slope of -1/m.

The equation that represents the line that passes through the points (2, -6) and (-4,3) is 2y + 3x = -6.

The equation of the line that passes through the points (x1,y1) and (x2,y2) can be obtained with the formula:

[tex]y-y_1 = m (x-x_1)[/tex]

The slope of the points are

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We need to find the equation that represents the line that passes through the points (2, -6) and (-4,3)

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{3+6}{-4-2}\\\\\\ m = 9/-6 = -3/2\\[/tex]

So, the equation is:

[tex]y-y_1 = m (x-x_1)\\\\y +6 = -3/2(x -2)\\\\2y +12 = -3x +6\\\\2y + 3x = -6[/tex]

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Cost per mile = [tex]\frac{cost}{number of miles}[/tex]

[tex]= \frac{485}{500}[/tex]

= 0.97

Now,

c - cost for gasoline and maintenance and

m - number of miles traveled

Hence, the required expression is c = 0.97m.

So,

-2m+5=-2m-5

-2m + 2m = -5 - 5

0 = -10

which is no solution.

Therefore, the required equation is -2m + 5 = -2m - 5.

The slope of a line passing through two points is found by taking the change in y-coordinates divided by the change in x-coordinates. For the given points (1, 0.1) and (7, 26.8), the slope is approximately 4.45.

The slope of a line passing through two points can be found using the formula:

slope = (change in y-coordinates)/(change in x-coordinates)

Given the points (1, 0.1) and (7, 26.8), the change in y-coordinates is 26.8 - 0.1 = 26.7 and the change in x-coordinates is 7 - 1 = 6. Substituting these values into the formula, we get:

slope = 26.7/6

slope ≈ 4.45

D

convert 7 [tex]\frac{4}{5}[/tex] to a decimal = 7.8

compare 7.8, 7.6, 7.41

listing from least to greatest

7.41, 7.6, 7 [tex]\frac{4}{5}[/tex]

Remark

It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.

Method

You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.

Distance from the Park to the city center.

a = 3   [distance east]

b = 4  [distance south]

c = ??

c^2 = 3^2 + 4^2        Take the square root of both sides.

c = sqrt(3^2 + 4^2)

c = sqrt(9 + 16)          Add

c = sqrt(25)

c = 5

So the distance from the park to the city center is 5 miles

Distance from City center to the mall

a = 2 miles [distance east]

b = 2 miles [distance north]

c = ??

c^2 = a^2 + b^2   Substitute

c^2 = 2^2 + 2^2   Expand this.

c^2 = 4 + 4

c^2 = 8             Take the square root of both sides.

sqrt(c^2) = sqrt(8)

c = sqrt(8)          This is the result

c = 2.8

Answer

Total distance = 5 + 2.8 = 7.8

The value of g will be as g = 6f - h + k.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

f=1/6(g+h-k)

WE have to solve the equation for g;

f = 1/6(g+h-k)

By cross multiplication;

6f = g + h - k

g = 6f - h + k

Thus, the value of g will be as g = 6f - h + k.

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Answer:

8

Step-by-step explanation:

work backward

24+11=35

35-3=32

32/4=8

27:10

1/8 equals 9/5

3/2*9/5=27/10

To find the height of the American flag, convert the known length from yards to feet, use the given ratio to set up a proportion, solve it to find the height in feet, and then convert it back to yards, resulting in a height of 1.2 yards.

The ratio of the length to the height of the American flag is given as 3:2. Knowing that the length of the flag is 1.8 yards, we can set up a proportion to find the height. Since we know that 1 yard equals 3 feet, we first convert the length into feet. 1.8 yards is equivalent to [tex]1.8 imes 3 = 5.4 feet[/tex]. Using the ratio 3:2, we can write the proportion as 3/2 = 5.4/height in feet. To solve for the height, we cross-multiply and [tex]get 2 imes 5.4 = 3 imes height,[/tex] yielding 10.8 = 3  imes height. Dividing both sides by 3 gives us the height as 3.6 feet. To convert feet back to yards, we recall that 3 feet equal 1 yard, and hence, 3.6 feet is 1.2 yards. Therefore, the height of the American flag is 1.2 yards.

Answer:

(1, 3), (0, 6) and (-2, 5)

Step-by-step explanation:

First we will translate the image 2 left and 2 down to account for moving the center of dilation (2, 2) away from the origin:

(0, 4)→(-2, 2)

(-2, 10)→(-4, 8)

(-6, 8)→(-8, 6)

Next we apply the scale factor of 1/2:

(-2, 2)→(-1, 1)

(-4, 8)→(-2, 4)

(-8, 6)→(-4, 3)

Lastly we translate the figure back 2 right and 2 up:

(-1, 1)→(1, 3)

(-2, 4)→(0, 6)

(-4, 3)→(-2, 5)

800-50=750 so 750+50=800 the dryer maybe go be 750

When a washer and a dryer cost $800 combined. The washer costs $50 less than the dryer the cost of the dryer is $425.

Let's assume the cost of the dryer is "D" dollars.

According to the given information, the washer costs $50 less than the dryer, so the cost of the washer would be "D - $50" dollars.

Now, we know that the combined cost of the washer and dryer is $800, so we can set up an equation:

Cost of washer + Cost of dryer = $800

(D - $50) + D = $800

Now, let's solve for the cost of the dryer (D):

2D - $50 = $800

Add $50 to both sides:

2D = $850

Now, divide by 2 to solve for D:

D = $850 / 2

D = $425

So, the cost of the dryer is $425.

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24:4 in lowest terms would be 6:1

Answer,

6:1

Hope this helps :-)

Answer: 80

Step-by-step explanation:

You know frank drove 320 in 4hr so you do 320 divide by 4 and u get 80

Answer:

(-∞,-5)∪(-1,∞)

Step-by-step explanation:

1. You have the compound inequality given in the problem above:

[tex]4+k>3[/tex] or [tex]6k<-30[/tex]

2. First, you must solve for [tex]k[/tex], as following:

[tex]4+k>3\\k>3-4\\k>-1[/tex]

[tex]6k<-30\\k<\frac{-30}{6}\\k<-5[/tex]

3. Then, the solution is:

(-∞,-5)∪(-1,∞)

5. You can pose the solution in the number line, as it is shown in the graph attached.

estimate......

340 - 100 = 240

337 -> 340

103 -> 100

340-100

= 240 left to save

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

Final answer:

The range of the function f(x) = 2x - 7 for the domain {-2, -1, 0, 1, 2} is found by substituting the domain values into the function, resulting in the range {-11, -9, -7, -5, -3}.

Explanation:

The student is asking to find the range of a given function f(x) = 2x - 7 for a specific domain. The domain provided is {-2, -1, 0, 1, 2}. To find the range, we substitute each value from the domain into the function and calculate the corresponding output values.

Therefore, the range for the given domain is {-11, -9, -7, -5, -3}.

Here's another picture of the same thing. There is one in Saskatchewan (I live in Alberta, so that is my next door neighbor). I was wondering if this faced essentially east west.

If it did, then it likely had some sort of religious significance having to do with sun worship. Since the labeling is so carefully done, I think the bisector is probably pointing very near due east and is in the fall solstice. All of this could be coincidental or it could mean something more serious (like sun worship). Man is very ingenious where his religious expressions are concerned.

Answer:

They made 890,000 tees.

Step-by-step explanation:

You have the following information given in the problem above:

-  In 2010 they made 380,285 tees.

-  In 2011 they made 513,525 tees.

2. Therefore, to calculate the amount of tees made by them in the two years, you only need to add the amount of tees they made in 2010 and 2011, as following:

[tex]380,285+513,525=893,810[/tex] tees

3. To the nearest ten thousand: 890,000 tees.

We need to graph ⇒⇒⇒  f(x) = - 0.25 x + 4

the given equation represents a linear equation, we need just 2 points to graph it

At x = 0 ⇒⇒⇒ f(x) = -0.25 * 0 + 4 = 4

At x = 4 ⇒⇒⇒ f(x) = -0.25 * 4 + 4 = 3

The attached figure represents the table and the graph of the given function.

Answer:

this equation represents a linear equation, you just need 2 points to graph it

At x = 0 to f(x) = -0.25 * 0 + 4 = 4

At x = 4 to f(x) = -0.25 * 4 + 4 = 3

Hope this helps. :)

Answer:

Fractional part of the mixed number is [tex]\frac{23}{45}[/tex].

Step-by-step explanation:

First we have to simplify the given expression,

[tex]\frac{8668}{25} +\frac{4141}{9} -\frac{5533}{25}[/tex]

=[tex]\frac{(8668*9)+(4141*25)-(5533*9)}{25*9}[/tex]

=[tex]\frac{(8668-5533)*9+(4141*25)}{25*9}[/tex]

=[tex]\frac{(3135*9)+(4141*25)}{25*9}[/tex]

=[tex]\frac{28,215+103,525}{225}[/tex]

=[tex]\frac{131,740}{225}[/tex]

=[tex]\frac{26,348}{45}[/tex]

=[tex]585.51111[/tex]

Now we have to take the whole number that we get by dividing numerator by denominator,

It is 585

Now we have to find the remainder after taking the numerator,

[tex]26,348-(585*45)=23[/tex]

Now we represent the whole number and the fraction of remainder together as a mixed number.

[tex]585\frac{23}{45}[/tex]

Therefore, fractional part of the mixed number is [tex]\frac{23}{45}[/tex].

7,381 is the answer.

Answer:  f'(x) = 12x  + 48x³ - 48x⁵

Step-by-step explanation:

f(x) = (1 - 2x²)³

     = (1 - 2x²)(1 - 4x² + 4x⁴)

         1 - 4x² + 4x⁴

           -2x² + 8x⁴ - 8x⁶

     =  1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

      =     12x  + 48x³ - 48x⁵

In order to do this problem, you must know how to do exponents. You take 5 and divide it by -2. Then your answer is 0.04 or 1/25!

Hope this helped. :)

answer : 15

x varies inversely as y and directly as t

We use formula [tex]x = \frac{kt}{y}[/tex]

x varies inversely as y so we divide by y

x varies directly as t so we multiply x

k is the constant of proportionality

Lets find out k using the given values

x = 12 when t = 10 and y = 25

[tex]x = \frac{kt}{y}[/tex]

[tex]12 = \frac{k*10}{25}[/tex]

Multiply by 25 on both sides

300 = 10k (divide by 10)

So k = 30

Lets find y when x is 6 and t = 3. we got k = 30

[tex]6 = \frac{30*3}{y}[/tex] (cross multiply)

6y = 90 (divide by 6 )

[tex]y = \frac{90}{6} =15[/tex]

The value of y = 15

Answer:

15

Step-by-step explanation:

If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3.

166 2/3

9 3/5

15

It is 80,000 im not sure what you meant by "800,00"

Two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

To find two different multiplication facts that have a product of 2352, using the fact that 147 multiplied by 16 equals 2352, we can manipulate the factors in various ways. One way is to halve one of the factors and double the other. If we take half of 147, we get 73.5, and doubling 16 gives us 32. Therefore, 73.5 multiplied by 32 is one multiplication fact that equals 2352. Another way is to multiply both factors by the same number. If we multiply both 147 and 16 by 1, technically we get a different multiplication expression with the same product. This means 147 multiplied by 16 is still valid since we have applied the identity operation (multiplying by 1).

In summary, two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

Answer: moving expenses apx xx

Step-by-step explanation: apix approveddfmdo

The correct answer is moving expenses which are allowed by the IRS option (D) is correct.

The reasonable costs of moving home goods and personal possessions to a new residence are characterized as moving expenses. These expenditures also include the employee's and his or her immediate family's journey to the new location.

You can deduct charges for transporting a trailer, packing, crating, in-transit storage, and insurance when relocating your household items and personal effects.

The moving expenses adjustment is allowed by IRS.

Thus, the correct answer is moving expenses which are allowed by the IRS option (D) is correct.

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