Billy worked for 38 hours last week. His boss gave him $361 for his work
last week. Write AND solve a multiplication equation to find how much
money Billy makes per hour of work.

The solution is Option D.

The sum of the arithmetic sequence is 5,490

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic progression be represented as S

Now , the number of terms n = 60

Let the first term be a₁ = 3n , when n = 1

a₁ = 3

Now , the second term a₂ = 3n , when n = 2

a₂ = 6

So , the common difference of the arithmetic sequence d = second term - first term

d = 6 - 3

d = 3

Now , the sum of the first n terms of the sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

S₆₀ = ( 60/2 ) [ 2 ( 3 ) + ( 60 - 1 ) ( 3 ) ]

On simplifying the equation , we get

S₆₀ = 30 [ 6 + 59 ( 3 ) ]

S₆₀ = 30 [ 6 + 177 ]

S₆₀ = 30 ( 183 )

S₆₀ = 5490

Therefore , the value of S is 5,490

Hence , the sum of the arithmetic sequence is 5,490

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Answer:

D. 225/4

Step-by-step explanation:

To complete the square (a technique that can be applied to many problems!), take half the coefficient of  x  and square the result.

The coefficient of  x  is 15.  Half of 15 is 15/2.  Square 15/2 to get 225/4.

Check:

[tex]x^2+15x+\frac{225}{4}=\left(x+\frac{15}{2}\right)\left(x+\frac{15}{2}\right)=\left(x+\frac{15}{2}\right)^2[/tex]

Answer:

255/4

Step-by-step explanation:

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

---------------------------

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...

Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

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Answer:

134

Step-by-step explanation:

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

Answer:

Rectangular Prism

Step-by-step explanation:

When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units.

Answer:

cylinder

Step-by-step explanation:

cylinder.

Answer:

The first answer choice is correct

Step-by-step explanation:

Answer:

1-m< +m<2 =180°

2-congruent

3-supplementary

4-m<1 + m<3 = 180°

5-m<2 + m<3 = 180°

Answer:

2.27

Step-by-step explanation:

1.98+2.50+3.25 = 7.73 - 10.00 = 2.27

Answer:

$2.27

Step-by-step explanation:

Add the prices together

1.98 + 2.50 + 3.25 = 7.73

Susy owes the cashier $7.73 but payed with a $10 bill, so subtract

10 - 7.73 = 2.27

She should get back $2.27

Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

Answer:

A

Step-by-step explanation:

hope this helps

-2x - 8 > 14

add 8 to 14 and get 22

-2x > 22

then divide 22 by -2 and get x < -11

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Answer:

Step-by-step explanation:

4+3=7,

4*7=28

28-3=25

Answer: B

Step-by-step explanation:

Answer is B

The required method that is popular with the boys is going to school by walking.

A dual bar chart has been given, describing the method of going to school for boys and girls.

A bar chart displays the frequency counts of values for each level of a categorical or nominal variable.

Here,
According to the question,
Number of boys walk = 8,
Number of boys taking the bus = 2
Number of boys with car = 3
number of boys with cycle = 3
So the most popular method among the boys is given as by walk.

Thus, the required method that is popular with the boys is going to school by walking.

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Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

Answer:

The answer is A) There are no proportional relationship

Step-by-step explanation:

The green line does not go through the origin and it is curved. This is not a proportional relationship.

Problems: It does not go through 0,0 and it is curved.

----------------------------------------------------------------------------------------------------------------

The blue line may go through the origin but it is curved. This is not a proportional relationship.

Problem: It is curved.

----------------------------------------------------------------------------------------------------------------

The purple line does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

The graph has 0 proportional relationships.

What shows proportional relation?

The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.

In the given graph, only one purple color curve is a straight line but it is not starting through the origin.

Therefore, the graph does not have any proportional relationships.

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Answer:

36.1

Step-by-step explanation:

53.9 + 36.1 = 90

Answer:

it's answer is 107

Step-by-step explanation:

firstly

x+28+45=180

x+73=180

x=180 subtract 73 = 107

Answer:

[tex] \sqrt{28 } + \sqrt{45 } = x[/tex]

Answer:

[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]

Step-by-step explanation:

(Look at the picture).

Calculate the area of the rectangle and subtract the areas of red triangles.

The formula of an area of a rectangle:

[tex]A_{\boxed{\ }}=a\cdot b[/tex]

We have:

[tex]a=5,\ b=4[/tex]

substitute:

[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]

substitute:

[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]

Area of ΔRST:

[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]

substitute:

[tex]A_{\triangle RST}=20-11=9[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.

In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).

In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).

In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).

Therefore, the relationship between x and y is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Using the points (0, 2000) and (2, 4000):

[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]

Answer:

40000

Step-by-step explanation:

Using that thing called pemdas, do the exponents first, then the multiplication so:

10^5 = 100000

100000 x 0.4 = 40000

Answer:

I think 50 is 30% of 166.666667

Step-by-step explanation:

Answer: 3/5 or 60% chance of not drawing red

Step-by-step explanation:

12 red

13 green

5 blue

30 total

30 - 12 = 18

so 18/30 or 3/5