the sum of two numbers is 68 and the difference is 12. What are the numbers?

Answer:35

Step-by-step explanation:because x equals 3y +2 so if x=11 then just mutlipy 11x3 thats 33 then plus 2 is 35

hope that helps :}

Both can be seen as individual events. thus the events are independent.

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Given that; A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.

The probability of selecting the chip is green;

= 5/20

= 1/4

The probability of selecting the chip is brown;

= 4/20

= 1/5

the probability that the first chip is green and the second is brown

= 1/4 x 1/5

= 1/20

Both can be seen as individual events. thus the events are independent.

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The results for each case of congruence are listed below:

9) Congruent

10) No congruent

11) No congruent

12) Congruent

13) Congruent

14) No congruent

There are several ways to determine if two line segments are congruent to each other. One form consists in finding the vector associated with each line segment and the length is found by the Pythagorean theorem:

Now we proceed to show how to apply the vector criterion:  

9) AB = (- 4, 8) - (- 4, 5) = (0, 3), CD = (2, 0) - (2, - 3) = (0, 3).

AB = 3, CD = 3. Congruent

10) AB = (1, - 1) - (6, - 1) = (- 5, 0), CD = (4, - 3) - (2, - 3) = (2, 0).

AB = 5, CD = 2. No congruent

11) AB = (- 1, 3) - (8, 3) = (- 9, 0), CD = (5, 3) - (5, 10) = (0, - 7).

AB = 9, CD = 7. No congruent

12) AB = (6, 1) - (6, - 8) = (0, 9), CD = (- 2, - 2) - (7, - 2) = (- 9, 0).

AB = 9, CD = 9. Congruent

13) AB = (- 5, - 1) - (- 5, 6) = (0, - 7), CD = (3, 3) - (- 4, 3) = (7, 0).

AB = 7, CD = 7. Congruent

14) AB = (3, - 4) - (10, - 4) = (- 7, 0), CD = (- 1, 5) - (- 1, 2) = (0, 3).

AB = 7, CD = 3. No congruent

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Answer:

15.8

Step-by-step explanation:

To round to nearest tenth we only go so far as the first decimal place. If the second decimal digit is less than 5 we leave that number as it is otherwise we increase it by 1

In 15.839, the second decimal digit is 3 so we get 15.8

(If it had been 15.864 then it would be 15.9)

Answer: Angle R is 15.8 and angle S is 15.4.

Step-by-step explanation: Equal 3x + 5 to 9x - 17, to each other and get 3.6 and 3.6 equals x. Q and R are congruent. for 3x +5, multiply 3.6 by three and add 5. Multiply 3.6 by 9 and subtract 17. I hope this helps :)

Answer: 75

Step-by-step explanation:

The total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes

From the question, we are to determine the total number of minutes Judy worked out for the week

From the given information,

The gym holds two 45-minute workout sessions and four 30-minute sessions each week

Thus,

The total number of minutes the gym holds workout sessions is

2 × 45 + 4 × 30

= 90 + 120

= 210 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions

The total number of minutes Judy didn't attend is

2 × 10 + 4 × 5

= 20 + 20

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was

210 minutes - 40 minutes

= 170 minutes

Hence, the total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes

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The equation of the line in slope-intercept form is y = (-6)x + (-8)  .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is 2y = -12x -16 .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

2y = -12x -16

On dividing both sides of above equation by 2, we will get

y = (-6)x + (-8)                                                 equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = -6

Intercept = c = -8

The equation of the line in slope-intercept form is y = (-6)x + (-8)  .      

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The data set's interquartile range (IQR) is 12 and the data set's range is expressed as a five-number summary at 46.

The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics. The middle 50%, fourth spread, or H-spread are further names for the IQR.The discrepancy between a data set's 75th and 25th percentiles.

ACCORDING TO GIVEN STATEMENT;

Firstly, arrange the data.

19 23 26 28 28 30 31 35 38 40 43 46

a) 5 number summary

-min value = 19

- Q1= (26+28/2) = 27

- Q2/ Median = (30+31/2)= 30.5

- Q3= (38+40/2)= 39

- Max value= 46

b) range= max value-min value

∴46-19= 21

c)interquartile range = Q3-Q1

                                 = 39-27

                                 =12

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Answer: 5

Step-by-step explanation:

4|3x-1| - |9x+6| ; x=-5

Insert 5 into the x's

4|3(5)-1| - |9(5)+6|

Multiply the 5's

4|(15)-1| - |(45)+6|

Now add/subtract within the absolute values

4|14| - |51|

Get rid of the absolute vaules

4(14) - 51

Multiply 4(14) = 56

56 - 51 = 5

The greatest number of identical arrangements is 1 arrangements of 15 strawberries and 2 grapes.

It is required to find the solution.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given:

In total, there are 15 strawberries and 30 grapes.

To find the greatest number of identical arrangements, first we need to find the greatest common factor of 15 and 30.

According to given question we have

GCF of (15,30) = 15

Therefore, the greatest number of identical arrangements is 1 arrangements of 15 strawberries and 2 grapes.

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From the options given, the options that can increase the likelihood of selecting a yellow marble can be determined by finding out the probability of selecting the yellow marble.

Probability is method of determining a numerical occurrence of a outcome from the set of all possible outcomes of an events. The value is expressed from zero to one.

Probability (Event)= Favorable Outcomes(x)/Total Outcomes(n)

Hence,

n=total number of marbles=3+2+4+3=12

x=no of yellow marbles=2

Probability=2/12=1/6

In order to increase the probability of choosing a yellow marble, let consider the options.

Andrew should add more green marbles to the bag.

Increasing green by say 2

Probability=2/14=1/7<1/6

Andrew should add more yellow marbles to the bag.

Increasing yellow by say 3

Probability=5/15=1/3>1/6

Andrew should remove from the bag 1 green, 1 black, and 2 red marbles.

Decreasing the said marbles

Probability=2/8=1/4>1/6

Andrew should add more black marbles to the bag.

Increasing black by 2

Probability=2/14=1/7<1/6

Andrew should triple the number of yellow marbles in the bag.

Increasing yellow marble by 2x3=6

Probability=6/16=3/8>1/6

Hence, the options of making the likelihood of yellow drawing more would be Andrew should add more yellow marbles to the bag, Andrew should remove from the bag 1 green, 1 black, and 2 red marbles and Andrew should triple the number of yellow marbles in the bag.

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She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.

The correct option is B.

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we use variables such as x, y, and z in addition to numbers. In algebra, signs are employed.

She drove 70 miles per hour for 65% of the journey hour.

So she covered = ((65)*100)*300

                                    = 195 miles.

The remaining distance is 300 – 195 = 105 miles.

She drove just under 35 miles per hour for the remaining 20% of the route.

So she covered. = ((20)/100)*105

or 21 miles

So, totally she covered 195 +

21 or 216 miles at 70 miles per hour maybe less than 30 miles per hour However, since the trip is 300 miles long, this same remaining distance becomes 300 - 216 or 84 miles.

She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.

The correct option is B.

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The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

Midpoint of a Line Segment:

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and  X₂, Y₂ is calculated using:

Point U has Coordinates (-5,1).

point V has coordinates (7,9).

Find  coordinates of the midpoint of UV = ?

We know that to find Midpoint of a Line Segment:

                               = [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where U

           X₁ = -5

           Y₁ = 1

Whare V

           X₂ = 7

           Y₂ = 9

Putting the value in the formula:

UV = [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

       = (-5 + 7)/2 , (1 + 9)/2

       = -6 , 5

The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

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Answer: 6%

Step-by-step explanation:

I just baised it off of how many students were in the equation. at the end thier is only 6 seats left

Answer:

30 degrees.

Step-by-step explanation:

I included a picture to solve for X. Once you have X, we know that angle a=A= x + 39.

Doing the math on the paper, we know that X= - 9, therefore - 9 + 39 = 30.

Thus, angle A is equal to 30 degrees.

By adding the base salary and the commissions,  we conclued that Aileen did make 3,075 dollars last month.

She sold 42 MP3 for $125 each, and she gets a 18% commission on this, so what she wins in commissions is:

0.18*42*$125 = $945

If we add that to the base that she earns per month, which is $2,130, it gives:

$945 + $2,130 = $3,075

In this way, we conclued that Aileen did make 3,075 dollars last month.

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By algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

In this problem we find a quintic equation, whose roots have to be found by using algebra rules:

33¹⁰ - 33 · x⁵ + 1 = 0                      

33 · x⁵ = 33¹⁰ + 1

x⁵ = (33¹⁰ + 1) / 33

x⁵ = 33⁹ + 33⁻¹

x = [tex]\sqrt[5]{33^{9}+33^{- 1}}[/tex]

x ≈ 541.159

By using algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.

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The equation of the given line y = -7x - 9 in standard form is 7x + y + 9 = 0

Equation of a line in standard form can be expressed as:

Ax + By + C = 0

Where:

A and B are coefficients.

x and y are variables of degree 1 or linear variables.

C is a constant.

All coefficients and constant term should be integers, not fractions or decimals. Furthermore, A should be a positive number.

The given equation is:

y = -7x - 9

Add both sides by 7x

7x + y = -7x +7x -9

7x + y = -9

Add both sides by 9

7x + y + 9 = -9 + 9

7x + y + 9 = 0

This is the standard form of the given line equation.

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Answer:

A is -3 B is 24 and c is -16

Step-by-step explanation:

Answer:

B is the correct answer:)) explanation up top

The pattern exists described as a sequence of repeating objects, shapes, or numbers.

The pattern follows the rule(+3) and (-1).

The next three numbers is 8, 7, 10.

The numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Let the numbers in the pattern be 1, 4, 3, 6, 5, . . .

1(+3) = 4

4(-1) = 3

3(+3) = 6

6(-1) = 5

5(+3) = 8

8(-1) = 7

7(+3) = 10

The pattern follows the rule (+3) and (-1).

The next three numbers is 8, 7, 10.

Therefore, the numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.

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It is a geometric sequence. The next two terms are: 0.125, 0.0625

The given sequence is:

2, 1, 0.5, 0.25, . . . .

Let a(n) be the nth term, then in the above sequence

a(1) = 2

a(2) = 1

a(3) = 0.5

a(4) = 0.25

Notice that:

a(2) = a(1) x 0.5

a(3) = a(2) x 0.5

a(4) = a(3) x 0.5

A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.

Therefore this is a geometric sequence with r = 0.5

To find the next two terms, continue the multiplication process:

a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125

a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625

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Answer:

To find when the projectile is above 18 feet, we need to find the values of time when the height of the projectile is greater than 18. The height of the projectile can be found by plugging the value of time into the equation y = -16t^2 + 40t + 2.

So, we need to find the values of t when y > 18.

y = -16t^2 + 40t + 2 > 18

-16t^2 + 40t - 16 > 0

To solve this inequality, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

where a = -16, b = 40, and c = -16.

So, t = (40 ± √(40^2 - 4(-16)(-16))) / 2(-16)

t = (40 ± √(40^2 + 256)) / -32

t = (40 ± √(1616)) / -32

t = (40 ± 40) / -32

t = (80 / -32) / 2 or (0) / 2

t = -1.25 or 0

Since t has to be positive (time cannot be negative), we can only use the positive value, t = 0.5. So, the interval of time when the projectile is above 18 feet is between 0.5 and 2 seconds, which is (c).

Step-by-step explanation:

Millies pumpkin: 52.25 lbs. (25 is one quarter of 100)

Kims is 90% as heavy.

We know in percentage, it only goes up to 100%.

Dividing

We can divide 100% into 10 chunks of 10%. In this instance, 52.25 lbs is 100%. So we divide 52.25 lbs into 10 chunks of 5.225 lbs.

Multiplying

90% is 9 times those little chunks of 10%. In this instance, 1 chunk is 5.225 lbs. So we simply multiply that by 9 because it's 90%.

Actually multiplying it

5.225 x 9 = 47.025 lbs

So 47.025 lbs is 90% of 52.25 lbs which is Millie's pumpkin.

Therefore your answer for "how much does kims pumpkin weigh" is

hoped this helped

Using unitary method, it is found that the total money construction worker get paid will be 2908.5 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that construction worker makes $30.62 an hour.  If they worked 45 hours a week and 50 hours the second week, then we need to find how much will they get paid.

For an hour he get paid = $30.62

For 45 hours a week = 30.62 x 45

                                  = 1377.9 dollars

For 50 hours the second week =  = 30.62 x 50

                                  = 1531 dollars

The total money he get paid will be; 1377.9  + 1531  = 2908.5 dollars.

Hence, the total money construction worker get paid will be 2908.5 dollars.

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If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.

Given:

Sheet of fiberboard=27 inches

Angle of elevation=17°

Height (h)=?

Hence,

Sin 17°=h/27

h=27 Sin 17°

h=27×0.2924

h=7.8948 inches

h=7.895 inches (Approximately)

Therefore If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.

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Answer:

96.6

Step-by-step explanation:

120.5 subtracted by 23.90 give you how much the gold nugget weight.

The solution of the given linear equation in one variable 3(2z +1) = 35.

According to the given question.

We have a linear equation in one variable 3(2z + 1) = 35.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Therefore, the solution of the given linear equation in one variable is given by

3(2z + 1) = 35

⇒ 6z + 3 = 35    (by distributive rule)

⇒ 6z = 35 - 3      (subtracting 3 from both the sides)

⇒ 6z = 32

⇒ z = 32/6          (dividing both the sides by 6)

⇒ z = 16/3

Hence, the solution of the given linear equation in one variable 3(2z +1) = 35.

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The total number of roots will be 8.

We have a function f(x) = [tex](3x^{4}+1 )^{2}[/tex].

We have to determine the total number of roots for this function f(x).

A function in mathematics is a relation involving two variables, such that one variable is dependent on the other for its value.

According to the question, we have function -

[tex](3x^{4}+1 )^{2}[/tex]

We can rewrite it after expanding as follows -

[tex](3x^{4}) ^{2} + 1 + 6x^{4}[/tex]

[tex]9x^{8}+6x^{4} +1[/tex]

Now, the maximum degree of the polynomial is 8. The number of roots are equal to the maximum degree of a polynomial.

Hence, the total number of roots will be 8.

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