Use the definition of complementary angles to solve for x.

Answer:

All Real Numbers

Step-by-step explanation:

Hello!

We have to find the intersection of the two lines algebraically using substitution.

Given that y is x + 3, substitute x + 3 for y in the second equation to solve for x.

The solution for x is all real numbers, indicating that the solution to the system is also all real numbers.

A solution to the system is the point of intersection from all the lines.

If there are infinite solutions (all real numbers), there are an infinite number of intersections, or they are the same line.

Solving for y in the second equation:

Both equations are the same.

Answer:

{a, c, e, f, g}

Step-by-step explanation:

[tex]B'=\{a,b,c,d,e,f,g\}-\{a,b,c,d\}=\{e,f,g\} \\ \\ A \cup B=\{a,c,e,f,g\}[/tex]

Answer:

48

Step-by-step explanation:

use a calculator

The upper class limits are- 29, 39, 49, 59, 69, 79, 89

The lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

The class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

And the number of individuals included in the summary is 84.

Here, we are given the following dataset-

Age (yr) when          Frequency

award was won

20-29                       27

30-39                       32

40-49                       15

50-59                       3

60-69                       5

70-79                        1

80-89                       1

Upper class limit is the largest data value that can go in a class.

Thus, the upper class limits are- 29, 39, 49, 59, 69, 79, 89

Lower class limit is the smallest data value that can go in a class.

Thus, the lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoint is the average of the upper and lower limits of a class. Class midpoint = (upper limit + lower limit)/ 2

Thus, the class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

Class boundary is the midpoint of the upper class limit of a class and the lower class limit of the previous class.

Thus, the  class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

Frequency gives us the number of individuals/ objects belonging to a particular class.

Thus, the number of individuals included in the summary = 27 + 32 + 15 + 3 + 5 + 1 + 1 = 84

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Answer:

radious:10

height:7

volume:?

we know that

volume of cylinder:2pie×r²×h

=22/7×10²×7

=2200unit³

Answer:

a) 9

b)3

c)22

Step-by-step explanation:

a)13+14/8-5 =27/3 =9

b) 9+9/4+2= 18/6 = 3

c) 12+16-6=22

Answer:

A- 9

B-3

C-22

Step-by-step explanation:

A-13+7*2/8-(3+2)

13+14/8-5

27/3

9.

B-9+3^2/2^2+2

9+9/4+2

18/6

3.

C-(10+2)+(4^2-6)

(12)+(16-6)

12+10

22

The average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .

In the question it is given that

model of the average annual wage (y) = 2286x + 38620   ...(i)

where x = number of years after 2010,

It is also given that the average annual wage(y) must be at least 68,400 .

which means y ≥ 68400

Substituting value of y from equation (i) we get  ,

2286x + 38620 ≥ 68400

Simplifying the inequality further we get ,

2286x ≥ 68400 - 38620

2286x ≥ 29780

x ≥ 29780/2286

x ≥ 13.02 ≅ 13

Hence , the average annual wage will more than the specified value from the year, 2010+13 = 2023 .

Therefore , the average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .

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Answer: last one

Step-by-step explanation:

I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.

Answer:idek

Step-by-step explanation:

Answer:

the nearest thousand is 63000

Answer: NOW

Step-by-step explanation:

Answer:

a) It's growing by 1 Hexagon in each term

b) (Self Explanatory, but if you still font know, just add 1 hexagon on the bottom tail)

c) 1-4

2-5

3-6

4-7

5-8

d) 1 hexagon is added each time

e) Common Difference = a1 - a

= 5 - 4

= 1

f) Consider the equation n + 3

where n is the number of terms.

In this case, n = 12

= 12 + 3

= 15 Hexagons

g) f(n) = 4 + 1(n-1)

f(1) = 4 + 1 ( 1 - 1)

f(1) = 4 + 1 (0)

f(1) = 4 + 0

f(1) = 4

h) (Forgive me, I actually don't know the answer for this one :'( )

Answer:

$350

Step-by-step explanation:

Let the cost of the bench be x. Then, the cost of the table is x+83.

[tex]x+x+83=783 \\ \\ 2x+83=783 \\ \\ 2x=700 \\ \ x=350[/tex]

The total cost is,

→ $783

Let the cost of garden table be,

→ x + $83

Then the cost of bench will be,

→ (x + 83) + x = 783

→ 2x + 83 = 783

→ 2x = 783 - 83

→ x = 700/2

→ [ x = $350 ]

Hence, the cost of bench is $350.

Answer:

75

Step-by-step explanation:

75 + 7 = 82

82 - 7 = 75

Answer:

6 (None of the above)

Step-by-step explanation:

Let's solve the problem,

→ 20/8 ÷ 5/12

→ 20/8 × 12/5

→ 240/40 = 6

Hence, the answer is 6.

Answer:

-6.23 is the answer

Answer:

-6.23

Step-by-step explanation:

The solution will be,

→ 2.67 + (−8.9)

→ 2.67 - 8.9

→ -6.23

So, the answer is -6.23.

Answer:

0+26=26, 26+0=26

Step-by-step explanation:

When you add 0 to a number and get the same number, that's the Identity Property of Addition.

The missing coordinate of the points is 7

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Points (x1, y1) = (x, 5) and (x2, y2) = (3, 3)

The slope of a linear equation is calculated as

m = (y2 - y1)/(x2 - x1)

So, we have

1/2 = (3- 5)/(3 - x)

Evaluate the differences

So, we have

1/2 = -2/(3 - x)

Cross multiply

So, we have

3 - x = -4

This gives

x = 3 + 4

Evaluate the sum

x = 7

Hence, the missing coordinate of the points is 7

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The volume 240 ml to oz is 8 oz.

The volume is in millilitres. Therefore, we have to convert to other units.

1 ml = 0.033814 oz

1 ml = 0.00175975 pints

1 ml = 0.00422675 cup

1 ml = 0.57 grams

Hence, lets convert the volume to the various units.

1 ml = 0.033814 oz

240 ml = ?

cross multiply

volume = 240 × 0.033814 = 8.11536 oz = 8 oz

1 ml = 0.00175975 pints

240ml = ?

volume = 0.00175975 × 240 = 0.42216 = 0.4 pints

1 ml = 0.00422675 cup

240 ml = ?

volume =  0.00422675 × 240 = 10.1442 cups

1 ml = 0.57 grams

240 ml = ?

volume = 0.57 × 240 = 136.8 grams

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The solution of the equation c = kny, for y is y = c/kn

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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1. The correct histogram (attached) that captures the frequency distribution is Option C.

2. Whether the data appear to have a distribution that is approximately normal, A. No, it is not symmetric.

A symmetric distribution is a distribution in which the left and right sides mirror each other and it is a normal distribution, with a distinct bell shape.

In a symmetrical distribution, mean = median = mode.  It is a skewed distribution when it is not symmetrical.

Class             Frequency

0-0.19                  21

0.20-0.39            12

0.40-0.59             5

0.60-0.79             3

0.80-0.99             8

1.00-1.19                2

1.20-1.39               1

Thus, the frequency histogram shows a skewed distribution of rainfall, where one tail is longer than the other.

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The solution of the simultaneous equations is given by: x=0.60 and

y = 0.80 .

A system of equations or simultaneous equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.

The given pair of simultaneous equations are:

6 x + 8 y = 10

9 x + 6 y = 10.20

Now let us multiply the first equation by 6 and the second equation by 8 and subtract it from the first.

   36 x + 48 y = 60

   72 x + 48 y = 81.60

⇒ 36 x  = 21.60

⇒ x = 21.60 ÷ 36

⇒ x = 0.60

Substituting the value in the first equation we get:

y= 0.80.

Hence the solution of the simultaneous equation is x=0.60 and

y = 0.80 .

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Answer:

our initial is 3

a1=3

difference or d = 4

The general formula is an = a1+(n-1)*d

an= 3+(200-1)*4

an=3+199*4

an=3+396

an = 399

therefore the 200th item is 399

Step-by-step explanation:

a =3 d=4 n=200

apply the general formula for the nth term

The values in percentages will be 37.7% and the maximum will be: 45.3%

From the information, approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

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Answer:

15, 0, 439, 5

Step-by-step explanation:

-9 and -10 are negative integers. Whole numbers can't be negative.

Answer:

15,0,439,5 are whole numbers. eg: when we count the number of students we use 1,2,3 etc we won't use any decimal or fractions or negative values. like that whole numbers are like the numbers we count number of students

The cost of a Token from the question is; $7.2

We are told that Jane and Jim spend the same amount of money today.

Now, Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token is T, the the algebraic expression formed is;

5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = $7.2

Thus, we conclude that the cost of a Token is; $7.2

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