number is less than -8

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = [tex]a[/tex]

Given that:

[tex]a_4=129\\a_{10}=207[/tex]

Formula for [tex]n^{th}[/tex] term of an Arithmetic Progression is given as:

[tex]a_n=a+(n-1)d[/tex]

Where [tex]d[/tex] will represent the number of projects increased every year.

and [tex]n[/tex] is the year number.

[tex]a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)[/tex]

Subtracting (2) from (1):

[tex]78 = 6d\\\Rightarrow d =13[/tex]

By equation (1):

[tex]129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90[/tex]

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

[tex]a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233[/tex]

Each project pays $500

Earnings in the twelfth year = 233 [tex]\times[/tex] 500 = $116500

Sum of an AP is given as:

[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938[/tex]

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 [tex]\times[/tex] 1938 = $969000

Answer: 48

Step-by-step explanation:

I’m pretty sure

Answer:

24 pieces

Quotient: 2

Step-by-step explanation:

This is the answer because:

1) If you cut one candy bar into half three times, there will be 4 pieces.

2) Then, just multiply 6 and 4 together to know how many pieces there are together:

6 x 4 = 24

Therefore, the answer is 24 pieces.

3) In order to find the quotient, just divide 6 and 3:

6 ÷ 3 = 2

Therefore, the quotient is 2.

Hope this helps! :D

Answer:

the radius should be 36

Step-by-step explanation:

Answer:

[tex]GH = 7\ meters[/tex]

Step-by-step explanation:

Given

[tex]GH = 7\ meters[/tex]

Required

Length of GH after two rotations

In transformations, when a point, shape, line or line segment is rotated; the orientation and location of the point, shape, line or line segment change.

However, the length of the point, shape, line or line segment remains the same.

This is to say that:

After line segment GH is rotated twice, its length will remain unchanged.

Hence:

[tex]GH = 7\ meters[/tex]

Answer:

A

B

Step-by-step explanation:

Answer:

a

then

b

Step-by-step explanation:

Answer:

put a point at (0, 3) and a point at (1, 5). Draw a line through these points and that if your line

Step-by-step explanation:

This is because the y-intercept(b) in the equation y=mx+b  is 3. This means the line will cross the y-intercept at (0, 3). NeXT, m is the slope and since it is a positive 2 you could rewrite it as 2/1. Because slope is rise/run just go up 2 units and over 1 unit for every new point on that line.

The graph for the equation y=2x+3 is added in the attachment.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

y=2x+3

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

Because the line crosses the y-axis at (0,y), the value of y when x is 0 is referred to as the y-intercept. The collection of points in the coordinate plane that make up the graph of the linear equation are all the solutions to the problem.

The given equation is in the form of y=mx+c, the given form is a slope-intercept form of the line.

The line passes through the points (-1.5,0) and (0,3).

Thus, the graph for the equation y=2x+3 is added in the attachment.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

believe the blue one

Step-by-step explanation:

Answer:

Bombinos

Step-by-step explanation:

So I added the extra money per pizza delivered and his actual salary for each of the Bombinos was $58.50 Little squeezers was $51 and pizza tent was 54.75

Answer:

2.08333333333

Step-by-step explanation:

25/12 = 2.08333333333

The division of 25 by 12  gives the quotient 2 and remainder is 1.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 25 by 12.

The division is as follow:

                           12| 25 | 2

                                 24

                             ______

                                  1

Thus the Quotient is 2 and remainder is 1.

Learn more about Division here:

brainly.com/question/21416852

#SPJ5

Answer:

I think it would be 40?

Step-by-step explanation:

I think 40 because if I recall correctly, to find the range you must subtract the max from the min, the max being 100 and the min being 60 in this case.

Answer:

y=-2x+1

Step-by-step explanation:

Answer:

I think its the second and fourth one

Answer:

dukh dusri if la is aaz ex rc UV pic of x maa la is pta is is wa wa ea raaz raaz raaz tez TX UV in on on lb lg aaz wax ex ex ex un in pa pe pe la na

Step-by-step explanation:

n mn bhi lv vm mb cm kc gl of FL ek to tk tu tum

Answer:

B.  $19

Step-by-step explanation:

Approximate prices:

1/4 lb ham = 0.25 * $6 = $1.50

1 1/2 lb turkey = 1.5 * $5 = $7.50

1 lb roast beef = $7

3/4 lb bologna = 0.75 * $4 = $3

Add the approximate individual prices:

$1.50 + $7.50 + $7 + $3 = $19

Answer:

B = 100

Step-by-step explanation:

25 + .05x = 20 + .10x

5 = .05x

100 = x

Answer:

Step-by-step explanation:

11/12+10-5/6

take 12 as lcm

11+120-10)/12

121/12

9514 1404 393

Answer:

  121/12

Step-by-step explanation:

  [tex]\dfrac{11}{12}-(-10)-\dfrac{5}{6}=\dfrac{11}{12}+10-\dfrac{5}{6}\quad\text{eliminate parentheses}\\\\=\dfrac{11}{12}+\dfrac{120}{12}-\dfrac{10}{12}\quad\text{use common denominator}\\\\=\dfrac{11+120-10}{12}=\boxed{\dfrac{121}{12}}\qquad\text{combine terms}[/tex]

Answer:

12+(-12)=0

-14+34=20

-65+42=-23

Answer:

C

Step-by-step explanation:

Small tier will serve 20 and medium tier will serve 40

The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

The side length of c is  2.

The side length of d is 10.

The side length of e is 10.

The side length of h is  2.4.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangles ABC, EFD, and GHI are all similar.

The side lengths of the triangles all have the same units.

This means,

The ratio of the corresponding sides of the two triangles is the same.

Now,

ΔABC and ΔGHI

4/(12/5) = 4/h = c/ (6/5)

20/12 = 4/h = 5c/6

We will consider 20/12 = 4/h.

20/12 = 4/h

5/12 = 1/h

h = 12/5

h = 2.4

We will consider 20/12 = 5c/6

20/12 = 5c/6

4/2 = c

c = 2

Now,

ΔABC and ΔEFD

4/e = 4/d = c/5

4/e = 4/d = 2/5

Consider 4/e = 2/5

4/e = 2/5

2/e = 1/5

e = 10

Consider 4/d = 2/5

4/d = 2/5

2/d = 1/5

d = 10

Thus,

The side length are:

c = 2

d = 10

e = 10

h = 2.4

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

y=35

x=27.8

Step-by-step explanation:

Answer:

Step-by-step explanation: first you add the top number which is 7 + 5=12 then you add the below numbers which is 6+8= 14 so the answer is 12/14

Answer:

7/8 x 5/5 = 40/35     5/6 x 8/8 =48/35 = 1 and something

Step-by-step explanation:

e

Answer:

i cant see the picture it very small

Step-by-step explanation:

Answer:

I can't see it. It's too small

Step-by-step explanation:

Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

Answer:

your answer would be 0

Step-by-step explanation: