Change 15/2 to mixed number

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

The equation will have the same x- and y-coefficients, but a different constant. That constant can be found by substituting the given point values for x and y.

  y = 3x +b . . . . . . . given equation with new constant 'b'

  10 = 3·6 +b

  b = -8 . . . . . . . . subtract 18

The equation of the line is ...

  y = 3x - 8

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

For more such information on: expression

https://brainly.com/question/28602085

#SPJ8

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

Learn more on the variance of a set of data here: https://brainly.com/question/30701163

#SPJ1

According to the picture, to find that probability, the first step is to find the total number of juice cups. To do it find the sum of the values in a row or in a column and then find the sum of these , for example:

Answer:

(-2,3)

Step-by-step explanation:

You can see that the purple is the new triangle. So look at the coordinate of the D. You can see that it is plotted at (-2, 3)

Answer:

(-2, 3)

to find the point of something you first find where uts standing on the x-axis (vertical line) and then where its standing on the y-axis (horizontal line)

Answer:

x=3

Step-by-step explanation: I'm not 100% if this is it because it's been awhile but I believe that you write 2x+2=4x-4 to solve for x since they're both y=mx+b equations. After solving it you would get 3

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

To know more about Recipe Masters here

https://brainly.com/question/27897496

#SPJ4

Answer:

5.51 cm

Step-by-step explanation:

Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

\(( 4500 - x) = \dfrac{2x}{3}\)

13500 - 3x = 2x

13500 = 5x

\(x = \dfrac{13500}{5}\)

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.

Answer:

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Step-by-step explanation:

Answer:

√52

Step-by-step explanation:

\( \sqrt{ {(4 - ( - 2))}^{2} + {(1 - ( - 3))}^{2} } \)

\( \sqrt{ {6}^{2} + {4}^{2} } = \sqrt{36 + 16} = \sqrt{52} \)

Answer:

Here we will show you how to calculate 1/6 divided by 7/8. We will give you the answer in fraction form and in decimal form.

Here is 1/6 divided by 7/8 displayed mathematically in colors:

1

6

 ÷    

7

8

The numbers in 1/6 divided by 7/8 are labeled below:

1 = dividend numerator

6 = dividend denominator

7 = divisor numerator

8 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

1 x 8

6 x 7

 =    

8

42

Thus, the answer to 1/6 divided by 7/8 in fraction form is:

8

42

Step-by-step explanation:

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

To  learn more about the area from the given link:

brainly.com/question/27683633

#SPJ9

Answer:

new bottle holds 66.25 more laundry soap.

Answer:

the answer is 0

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

32 liters is the volume of the glass tank

Answer:

Step-by-step explanation:

Let \(x,y\) be the two numbers. Then we get

    \(2x+3y=-1\)     \((a)\)

       \(x+4y=2\)       \((b)\)

We solve equations \((a)\) and \((b)\) simultaneously:

    equation \((b)\times2\) :

       \(2x+8y=4\)        \((c)\)  

   \((c)-(a)\) gives:

       \(5y=5\rightarrow y=1\)

    Sub \(y=1\) into \((a)\) :  

       \(2x+3\times1=-1\rightarrow2x=-4\rightarrow x=-2\)

The solution is -2,1

Answer:

$46.83

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For saving account A;

P = $1,800

t = 2 years

n = 12 (monthly

r = 3.6% = 0.036

Substituting the values;

A = 1800(1+0.036/12)^(12×2)

A1 = $1934.17

for saving account B;

P = $1,800

t = 2 years

n = 12 (monthly

r = 4.8% = 0.048

Substituting the values;

A = 1800(1+0.048/12)^(12×2)

A2 = $1981.00

The difference will then be

d = A2 - A1

d = $1981.00 - $1934.17

d = $46.83

Therefore, she would have $46.83 more

Answer:

104

Step-by-step explanation:

390/15=26

26 times 4 is 104

Answer:

y= \(\frac{3}{5}x\) \(-\frac{26}{5}\)

Step-by-step explanation:

x₁    y₁                     m= slope

(2, -4)                     point-slope equation: y - y₁ = m( x - x₁)

y-(-4) = \(\frac{3}{5}\)( x - 2)

y + 4 = \(\frac{3}{5} x\) - \(\frac{6}{5}\)

y = \(\frac{3}{5}x\) - \(\frac{6}{5}\) - \(\frac{20}{5}\)

y = \(\frac{3}{5} x\) - \(\frac{26}{5}\)

Answer:

100

Step-by-step explanation:

Multiply two of the side lengths

10×10 = 100

Answer:

f(x) = x³ + 19x² + x + 19

Step-by-step explanation:

Zeros: -19 , -i, complex conjugate root: +i

Function: (x+19)(x+i)(x-i) = 0

(x + 19) (x² - i²) = (x + 19) ( x² + 1) = x³ + 19x² + x + 19

check: when x = 1

f(1) = 1 + 19 + 1 +19 = 40

Answer:

V = pi 36 units^3

V =113.04 units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 2) ^2 *9

V = pi 36

Letting pi = 3.14

V =113.04

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

To know more about probability visit the link

brainly.com/question/30034780

#SPJ9

Answer: 4.432990

Step-by-step explanation: