See question in screenshot below:

The number of pinto beans in the jar is 24

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent

let x be the number of pinto beans

white beans = x + 36

Total beans = 2x + 36

Total share = 2 + 5, which is 7

number of pinto beans(x) = 2/7 * (2x + 36)

x = 2/7 * (2x + 36)

By cross multiplying,

7x =2(2x + 36)

7x = 4x + 72

collect like terms

7x - 4x = 72

3x = 72

x = 72/3

x = 24

In conclusion, 24 pinto beans are in the jar.

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(a) The mean of the data item from the group data is 161.

(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.

(c) The sum of the deviation is 0

Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

(a) To find the mean of the data, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.

M' = x-M

For data 115,

For data 156,

For data 162,

For data 164,

For data 168,

(c) The sum of the deviation is

Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7  and the sum of the deviation of the data is 161 and 0 respectively,

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He is best known in the modern day for the Pythagorean Theorem, a mathematical formula which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier but he may have been the first to prove it.

The most famous contribution for which Pythagoras is popular worldwide is the discovery of the Pythagoras Theorem which applies to all Right Angled Triangle. In the theorem, he stated that the sum of the square of both Base and Height will be equal to the square of Hypotenuse of a Right Angle Triangle.

The constant of proportionality in the equation is 5/4

The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.

The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In the problem, y = 5/4x

The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values

The term helps in relating x to y

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First, let's illustrate the problem as shown in the picture attached. Then, let's make a two-column proof:

Statement Reason

m∠B = m∠C Given

AB = AC Isosceles Triangle Definition

AK=KB=AH=HC Angle Bisector Postulate

ΔBKC = ΔHBC Line BC is common side

BH = CK Corresponding parts of congruent triangles are congruent

Answer:

It is "The y-intercept is one space higher."

Step-by-step explanation:

Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.

Here is the completed table:

                         Tuna     Cheese   Ham   Total

Brown                  21          11             8        40

White                  21           15           24       60

Total                     42        26           32           100

Number of tuna sandwiches that were on white bread : 1/2 x 42 = 21

Number of tuna sandwiches that were on brown bread : total number of tuna sandwiches - total number of tuna sandwiches on white bread: 42 - 21 = 21

Number of ham sandwiches on brown bread : 20% x 32

= 0.25 x 32 = 8

Number of ham sandwiches on white bread : number of ham sandwiches - number of ham sandwiches on brown bread

32 - 8 = 24

Number of white bread sandwiches - number of brown bread sandwiches = 20

number of white bread sandwiches = x + 20

number of brown bread sandwiches = x

x + x + 20 = 100

x + x = 100 - 20

2x = 80

x = 40

number of white bread sandwiches = 40 + 20  = 60

Number of white bread cheese sandwiches = total number of white bread sandwiches - total number of tuna and ham white bread sandwiches

Number of white bread cheese sandwiches = 60 - (21 + 24)

= 60 - 45

= 15

Number of brown bread cheese sandwiches = total number of brown bread sandwiches - total number of tuna and ham brown bread sandwiches

40 - (21 + 8)

40 - 29 = 11

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After a period of 2 hours both will have 28 signatures at the given rate of work.

What is work ?

Work may be a task or set of activities to realize an exact result

MAIN body:

Signatures Miranda has at starting = 10

Rate at which Miranda is collecting signatures = 9 /hour

Rate at which Lucy is collecting signatures = 14 / hour

According to question , they both have same no. of signs,

so

Lucy need to cope up with Miranda as she has lead.

at initial stage:

LUCY           MIRANDA

0                     10

14                    19                 ---- 1 HOUR

28                   28                -----2 HOUR
Hence after 2 hour both will have 28 signs.

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The value of the x angle is 107 °

What is the sum of triangle angles?

In Euclidean space, the sum of a triangle's angles equals the straight angle. A triangle has three angles, one at each vertex, and is bounded by two adjacent sides. For a long time, it was unknown whether other geometries existed with different sums.

The angle in the triangle next to 123° is

= 180° - 123°

= 57°

The sum angles in a triangle are 180°

x = 180 - 57 - 16

x = 107 °

Hence, the value of the x angle is 107°.

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The gross wage of Jose for the week is $422.125.

Given that, during a certain week Jose worked 9 ½ hours Monday to Friday each day, together with 6 hours on Saturday and 4 ½ hours on Sunday.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the wage for the normal working week be x

Now, number of hours Jose worked from Monday to Friday

= [tex]9\frac{1}{2}[/tex]

= 19/2 ×5

= 47.5 hours

The normal working day was 8 hours

So, 8×5=40 hours

Over time = 7.5 hours

a) Jose normal wage is

x = 40×5.50

= $220

b) Anytime worked in excess of this was paid for at time-and-a-half

That is, 5.5+5.5/2

= $8.25

Overtime wage =7.5×8.25

= $61.875

c) Saturday work being paid at double-time

That is 5.5×2=$11

Overtime wage for Saturday

= 6×11

= $66

d) Sunday working being paid at triple-time

That is, 5.5×3 =$16.5

Overtime wage for Sunday

= 4.5×16.5

= $74.25

e) His gross wage for the week =220+61.875+66+74.25

=$422.125

Therefore, the gross wage of Jose for the week is $422.125.

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The inequality equation given on number line shows as.

What is number line?

In elementary arithmetic, number line could be a image of a graduated line that is visual illustration of the important numbers. each purpose of range|variety} line is assumed to correspond to a true number, and each complex number to a degree.

Main body:

The given inequality is :

y≥ -8

to represent it on the number line we need to select number which are greater than -8 .

Hence the graph on number line looks line as represented in figure.

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The solution of the absolute value equation is x=1/6.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

When |3x-1|- | 2x+5-(5-x)| = 0

When 3x-1 < 0 and 2x+5-(5-x) < 0

-(3x-1) - ( - ( 2x+5-(5-x) ) ) =0

on simplifying, variable cancels out, so no solution

When 3x-1 < 0 and 2x+5-(5-x) > 0

-(3x-1) - (  ( 2x+5-(5-x) ) ) =0

on simplifying, x=1/6

When 3x-1 >0 and 2x+5-(5-x) < 0

(3x-1) - ( - ( 2x+5-(5-x) ) ) =0

on simplifying, x=1/6

When 3x-1 >0 and 2x+5-(5-x) >0

(3x-1) - (  ( 2x+5-(5-x) ) ) =0

on simplifying, variable cancels out, so no solution

So, the solution is x=1/6

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The equation of each line that is perpendicular to the given lines and passes through the stated points are:

20. y = -x + 2

21. y = -7/2x - 35/2

22. y = -8/3x - 7

23. y = 1/4x + 1

In slope-intercept form, y = mx + b, the slope of the equation is m, while the y-intercept of the equation is b.

If two lines are perpendicular to each other, the values of m, which is their slope, are negative reciprocals.

20. The slope of y = 3/3x - 2 is 1, the slope (m) of the line that is perpendicular to it is -1.

Substitute (x, y) = (-2, 4) and m = -1 into y = mx + b, to find the value of b:

4 = -1(-2) + b

4 = 2 + b

4 - 2 = b

2 = b

b = 2

Write the equation of the perpendicular line by substituting m = -1 and b = 2 into y = mx + b:

y = -x + 2

21. The slope of -2x + 7y = 14 is 2/7. Therefore, the slope (m) of the line that is perpendicular to it is -7/2.

Substitute (x, y) = (-3, -7) and m = -7/2 into y = mx + b, to find the value of b:

-7 = -7/2(-3) + b

-7 = 21/2 + b

-7 - 21/2 = b

-35/2 = b

b = -35/2

Write the equation of the perpendicular line by substituting m = -7/2 and b = -35/2 into y = mx + b:

y = -7/2x - 35/2

22. The slope of 3x - 8y = 16 is 3/8. Therefore, the slope (m) of the line that is perpendicular to it is -8/3.

Substitute (x, y) = (-3, 1) and m = -8/3 into y = mx + b, to find the value of b:

1 = -8/3(-3) + b

1 = 8 + b

1 - 8 = b

b = -7

Write the equation of the perpendicular line by substituting m = -8/3 and b = -7 into y = mx + b:

y = -8/3x - 7

23. The slope of 4x + y = 7 is -4. Therefore, the slope (m) of the line that is perpendicular to it is 1/4.

Substitute (x, y) = (4, 2) and m = 1/4 into y = mx + b, to find the value of b:

2 = 1/4(4) + b

2 = 1 + b

2 - 1 = b

1 = b

b = 1

Write the equation of the perpendicular line by substituting m = 1/4 and b = 1 into y = mx + b:

y = 1/4x + 1

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The union if J and L (J U L) = {-1,1,3,6,7,8} and the intersection of J and L(J ∩ L) = {-1}

The union of two sets J and L is represented by J ∪ L. This is the set of all different elements that are included in P or Q.

The intersection of two set J and L is represented by J ∩ L. This is the set of all different elements that are included in both P and Q. The symbol used to represent the intersection of set is  ∩ . We can say that the intersection of two given sets i.e. J and L is the set that includes all the elements that are common to both  P and Q.

therefore (J U L) = {-1,1,3,6,7,8}

and (J ∩ L) = {-1}

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The statement that if a is an m × n matrix and b is in r m, the general least-squares problem is  is; TRUE

The way that we compute a least-squares solution of Ax = b is;

By definition, the least squares problem is to find xˆ such that |Axˆ − b| ≤ |Ax − b| for all x in IRⁿ

This means that we are to find a vector x that makes Ax (which is in

the Col(A)) as close to b as possible.

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Answer: D

Step-by-step explanation:

We can rewrite the equation of the line as [tex]5x-y+12=0[/tex].

Using the perpendicular distance formula, the distance is [tex]\frac{|(5)(5)+(-1)(12)+12|}{\sqrt{5^2 +(-1)^2}} \approx 4.90[/tex]

The amount of principal for the given situation is $87,894.37

What is compound interest?

The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.

The principal, interest rate, and time period are used to calculate compound interest.

Given, compound amount (A) = $225,300

time period (t) = 12 years

interest rate (r) = 8% = 0.08

compounded semiannually (n) = 2

principal amount (P) =?

Then. the compound amount is given by

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

or, [tex]225300 = P(1 + \frac{0.08}{2} )^{2*12}[/tex]

or, [tex]P= 225300/(1+0.04)^{24}[/tex]

or, P = 87,894.37

Hence, the amount of investment today is $87,894.37

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Answer:

a. False

b. True

c. False

d. False

Step-by-step explanation:

(a) is False, the reason is: 39 is odd number and Set A contains only even numbers.

(b) is true  Set A contains even natural numbers and set B contains odd natural numbers. There is nothing common between the two set. This implies that intersection of the two set is empty.

(c) is False, the reason is: 48 is even natural number and Set B contains only odd natural numbers.

(b) is False  Set A contains even natural numbers and set B contains odd natural numbers. The union of two sets is set of natural numbers not the set A.

Answer:

so sometimes this happens to me and I get a parent or a teachers to help me and I’m sometime doing the math wrong when my answer is right so maybe double check work

Step-by-step explanation:

Answer:

y=4x+14

Answer choice 4

Step-by-step explanation:

What is the slope-intercept form of the line that passes through the points (-4,-2) and (-2, 6)?

m=(6+2)/(-2+4)

m=4

Slope-point form: (y+2)=4(x+4)

Simplify to slope-intercept form:

y+2=4x+16

y=4x+14

The given equation, y = -4(x-3)² + 6, rewritten in standard form is y = -4x² + 24x - 30

From the question, we are to rewrite the given equation in standard form.

The given equation is

y = -4(x-3)² + 6

The standard form of a quadratic equation is

y = ax² + bx + c  

Now, we will express the given equation in the standard form of a quadratic equation.

y = -4(x - 3)² + 6

y = -4(x - 3)(x - 3) + 6

y = -4(x(x -3) -3(x - 3)) + 6

y = -4(x² - 3x - 3x + 9) + 6

y = -4x² + 12x + 12x - 36 + 6

y = -4x² + 24x - 30

Hence, the equation is y = -4x² + 24x - 30

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Answer:

3x+4=34

x=10

Step-by-step explanation:

Since it’s in the median it is a number in between the 2 on the shape and the number right between 28 and 40 is 34 so we can set 3x+4 equal to that to find x

3x+4=34

   -4. -4

3x=30

/3.  /3

x=10

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

EF is the median, therefore the mean between 28 and 40

(28 + 40) : 2 =

34

3x + 4 = 34

3x = 30

x = 10

The key features that f(x) and g(x) have in common are; A: Both f(x) and g(x) have the same domain of (∞, -∞).

We are given the functions as;

Polynomial function; f(x) = 2x² - 3x + 5

Exponential function; g(x) = 2ˣ - 5

In this question we must analyze the domain, range, x-intercepts and changing intervals:

The domain of both functions are a set of all real numbers with both functions continuous.

The range of both functions from the graph attached is;

Range of f(x) = (3.875, +∞)

Range of g(x) = (-5, +∞)

The x-intercepts of both functions are;

x-intercept for f(x) is non existent

x-intercept for g(x) is (2.322, 0)

From the attached graph;

f(x) increases over interval of (3.875, ∞)

g(x) increases over the interval of a set of real numbers

Looking at the given options, we can say that option A is the correct one

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

The parametric equations for an object moving clockwise along the ellipse are x =  3 cos((2π/3) t) and y = 5 sin((2π/3) t)

Given: the equation of an ellipse x²/9 + y²/25 = 1

Beginning at (0,5) and requiring 3 seconds

The parametric equations representing an ellipse x²/a² + y²/b² = 1  are

x = a cos(t) and y = b sin(t)

where t is the parameter with values between [0, 2π]

If t represents time. Then, if a lap around the ellipse is completed in T seconds we have,

x = a cos((2π/T) t)

y = b sin((2π/T) t)

where 2π/T is the period of the motion.

Combining these results, therefore, we have the parametric equations:

x =  3 cos((2π/3) t)

y = 5 sin((2π/3) t)

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Answer: To make it very simple for ourselves, we can just divide 8 by 4.29. Our answer will then be 1.8648018648 or rounded to 1.86 servings per dollar.

Hope this helps.

The the smallest positive solution to the Trigonometry sin(5x)cos(9x) - cos(5x)sin(9x) = - 0.25 is x = 3.617degree

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles

sin(5x)cos(9x) - cos(5x)sin(9x) = -0.25

sin(5x)cos(5x + 4x) - cos(5x)sin(5x + 4x) = -0.25

-sin( 5x - 9x) = -0.25

-sin (9x -5x) = -0.25

sin ( 4x) = 0.25

Using the sine inverse

arcsin(0.25) = x = 0.25268 rad ≅ 14.47 degree

so dividing this angle by 4

x = 3.617degree

Therefore, the smallest positive solution to the Trigonometry is x = 3.617degree

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Answer:

0,76 x 10^3

Step-by-step explanation:

0,4 x 1,9 = 0,76

10^7 x 10^-4 = 10^(7-4) = 10^3

13 is slope of parallel line and -1/13 is slope of perpendicular line.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given points are  ​(7​, 3​) and ​(6​, −10​)

m=-10-3/6-7

m=-13/-1=13

So slope of line is 13

The equation of line is y=13x+b

Now let us find b.

3=13(7)+b

3=91+b

-88=b

y=13x-88

Now we have to find slope of line parallel to y=13x-88.

The slope of parallel line is 13 because in parallel lines slopes will remain same.

-1/13 is the slope of perpendicular line.

Hence , 13 is slope of parallel line and -1/13 is slope of perpendicular line.

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