The cookie recipe had the ratio of oatmeal to raisins as 5 to 1. If 6 cups of oatmeal is required, how
many cups of raisins are needed?

Answer:

The equation of the perpendicular bisector of the segment AB is [tex]y = x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

Equation of the perpendicular bisector of the segment AB.

Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.

Midpoint of segment AB:

Mean of their coordinates x and y. So

(1+7)/2 = 4

(5-1)/2 = 2

So (4,2).

Slope of segment AB:

When we have two points, the slope between them is given by the change in y divided by the change in x.

In segment AB, we have points (1,5) and (7,-1). So

Change in y: -1 - 5 = -6

Change in x: 7 - 1 = 6

Slope: -6/6 = -1

Equation of the perpendicular bisector:

The slope, multiplied with the slope of segment AB, is -1. So

[tex]-1m = -1[/tex]

[tex]m = 1[/tex]

So

[tex]y = x + b[/tex]

Passes through (4,2), which means that when [tex]x = 4, y = 2[/tex]. So

[tex]y = x + b[/tex]

[tex]2 = 4 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = x - 2[/tex]

Answer:

its c

Step-by-step explanation:

i just took the test on plato

Answer:

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Step-by-step explanation:

Explanation:-

Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex]   and f(x) = 2x +5

g(f(x)) = g( 2x +5)

        =  [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]

       =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Answer:

5r = 7.50

Step-by-step explanation:

As, the cost of 1 ruler = r

So, r times 5 ruler will give u the cost of 5 rulers, which is 7.50

So, 5r = 7.50

Answer:8

Step-by-step explanation:

Distance = √{(x1-x2)^2+(y1-y2)^2}

=√(64+0)

=8

Answer:

51 cm^2

Step-by-step explanation:

We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.

We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2

Answer: 4.31 point

Step-by-step explanation:

35.75p+6(6)=190 where 35.75p+36=190 35.75p=154 = 4.31 paint

Answer:

Step-by-step explanation:

If it is supposed to be 672.50 and 319.25 then you can just go 1000 minus 672.50 which is 327.50 and then subtract 319.25 to get 8.25. But your answers show cm and none show the right answer.  So, if it's rounding then choose A.

Answer:

165 and 166

Step-by-step explanation:

Let two consecutive mile markers be x and x+1.

According to the question,

x+x+1=331

2x = 331-1

2x = 330

x = 165

So, the number be 165 and 166.

Use the given functions to set up and simplify PM

M =

PA =

8x - 1

M=

2x + 17A

PM=

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

In this situation a = 1, b = 2

[tex]1^{2} + 2^{2} = c^{2}[/tex]

1 + 4 = [tex]c^{2}[/tex]

5 = [tex]c^{2}[/tex]

c = [tex]\sqrt{5}[/tex]

This is an important mathematical theorem to know. It's called the Pythagorean Theorem.

Figure C appears to have all sides and angles the same.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

Learn more about regular polygons here:

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#SPJ5

b=(50-35) and students=50

b/s=15/50=3/10

Answer:

Infinitely many solutions

Step-by-step explanation:

Eq. 1 and eq. 2 are the same line.

Multiply eq. 2 by (-3) to get eq. 1.

Multiply eq. 2 by 3 and add to eq. 1 to eliminate x.

Consistent dependent system of equations, infinitely many solutions.

1.)1x-6y=-15

2.)-4+2y=5

Answer:

Each bag had weighed about 1 1/2 (or 1.5) pounds.

Step-by-step explanation:

6 divided by 4 should end in a result of the unit weight 1.5 lbs.

Answer:

3, 4

Step-by-step explanation:

i divided 6 and 8 by 2 and got 3,4

boom magic

Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Answer:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

Step-by-step explanation:

Given:

2(a + 3) + 7a

Required:

3 equations equivalent to the given expression

Solution:

2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6

= 9a + 6

From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

Answer:

Step-by-step explanation:

Radius of semicircle = 2 ft

Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft

Area of rectangle = 10 × 4 = 40 sq ft

Total area = 46.28 sq ft

Answer:

46.28

Step-by-step explanation:

9514 1404 393

Answer:

  m < -7

Step-by-step explanation:

Maybe you want to find the value of m.

Subtract 5, then divide by -3.

  -3m +5 > 26 . . . given

  -3m > 21 . . . . . . subtract 5 from both sides

  m < -7 . . . . . . . . divide by -3. Dividing by a negative number reverses the inequality.

Answer:

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

Step-by-step explanation:

Let,

The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x

So,

X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )

As , we know that

P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ  for n = 0, 1, 2, ....

As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant

⇒n = 2

∴

P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)²  for n = 0, 1, 2, ....

               = ⁵C₂ × (0.8 )⁴ × (0.2)²  

               = [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04

               = [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164

               = [tex]\frac{5.4}{2}[/tex] × 0.0164

               = 10 × 0.0164 = 0.164

∴ we get

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

Answer:

a. The population of interest is:

xi. All workers in the U.S. who have participated in the job-sharing program

b. The variable that is being measured is:

viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees

c. The sample selected is:

vi. The 1,035 firms surveyed

d. The parameter is:

v. Proportion of employees who are working mothers

e. The statistic is:

ix. 25% (stated as 23%)

Step-by-step explanation:

The parameter of a population is a fixed value calculated from every individual in the population.  It is different from a statistic, which is computed from a sample of the population.  The statistic is meant to approximate a population parameter.

You can use the definition of parameter and statistic to distinguish between the two.

The answers to the given sections are:

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.

Ex: If we're taking about health problem in a country, then the whole country people form a population.

If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.

Those numbers who summarize information about population are called parameter.

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

Learn more about parameter and statistic here:

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Answer:

-5u-1=4

-5u=5

u=-1

7u+1=-7+1=-6

Step-by-step explanation:

Answer:

h(x)≥ 5

Step-by-step explanation:

If h(x) = x+2

Range is the output value for all input variables x

If x <3

h(x) < 3 + 2

h(x) < 5

Also h(x) = -x+8, if x ≥3

h(x ) = -3 + 8

h(x)≥ 5

Combining both inequalities

h(x)≥ 5

5 ≤ h(x) < 5

Hence the required range is h(x)≥ 5

Se representa algebraicamente como (x - a) 2 + (y - b) 2 = r2 donde el centro del círculo es el punto (a, b) y tiene un radio r. En el plano complejo un ...

Answer:

Negative 8 over 5 comma negative 6 over 5

Answer:

Price is decreased by $3,312

And, the price of the next model is $44,688

Step-by-step explanation:

The computation is shown below:

Given that the current model cost is $48,000

And, there is 6.9% lower than the current model

So, the price would decrease in dollars is

= $48,000 × 6.9%

= $3,312

The price of the next model is

= $48,000 - $3,312

= $44,688

Answer:

m=7

Step-by-step explanation:

Answer:

m=7

-8m+3m=-6-9-20

-5m=-35

-35/-5=7

m=7

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]