What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, .

Answers

Answer 1

Answer:

The common difference is -5

Step-by-step explanation:

45-40=5, 40-35=5, etc.


Related Questions

what's -2 5/11 - -7 1/11

Answers

Answer:

4.63636363636

Step-by-step explanation:

Answer:

1 -2 5 /11 - -7 1 / 11

2 5/11

= 2.27

7 1 / 11

6.45

= -4 . 18

What is the result when (-12) is subtracted from (- 8) ? *

Answers

Answer:

-20

Step-by-step explanation:

All that you have to do for this question is just form the equation:

-12-8=x

And solve, which is:

-20

A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.

Answers

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)

An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary

Answers

Answer:

9,000

5,025

Step-by-step explanation:

please need help! it’s discrete math!!

Answers

Answer:

B

Step-by-step explanation:

It's easy.

Answer:

Free

is all I see

Step-by-step explanation:

what is the measure of F?
pleaseeee

Answers

Answer:

D

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x + 3 + 7x - 5 + 3x + 14 = 180 , collect like terms

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Then

∠ F = 7x - 5 = 7(14) - 5 = 98 - 5 = 93° → D

The Lucas numbers are defined by the recursive formula t1 = 2, t2 = 1, tn = tn - 1 + tn - 2, where n âN and n > 2. What are the first 9 Lucas numbers?

Answers

The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.

Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have

[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]

[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]

[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]

[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]

[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]

[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]

[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]

76.6, 25.5 and 10.87 estimated sum and actual sum?

Answers

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Please help
Given m∠LMN=145 what is ∠XMN?

Answers

Answer:

(4x+5)°+(6x-10)°=145°

4x+6x+5-10=145°

10x-5=145°

10x=145+5

10x=150°

x=15

(6x-10)°=(6×15-10)°

=80°

The value of ∠XMN = 80.

What is angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

The value of total ∠LMN = 145.

∠LMN = ∠LMX +∠XMN

145 = (4x + 5) + (6x - 10)

145 = 4x + 5 + 6x - 10

145 = 10x -5

10x = 150

x = 15

Substitute the value of x in ∠XMN =  (6x - 10)

∠XMN =  6×15 - 10

            = 90 - 10

∠XMN = 80

Therefore, the value of the angle  ∠XMN = 80.

To know more about the angle theorems, here

https://brainly.com/question/27962469

#SPJ2

Use the distributive property to rewrite each expression. then evulate. 27.) -3(2x-6)​

Answers

Answer: -6x + 18

Step-by-step explanation: multiply each expression in the brackets by -3

so, -3 x 2x = -6x and -3 x -6 will give you +18 or just 18

for a final answer of -6x + 18

Simplify the expression

√4x^2/3y

PLEASE SHOW WORK!!

Answers

Answer:

[tex] \frac{2 \sqrt{3y} \times |x| }{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{ {4x}^{2} }{3y} } [/tex]

[tex] \frac{2 \times |x| }{ \sqrt{3y} } \\ \frac{2 \times |x|}{ \sqrt{3y} } \times \frac{ \sqrt{3y} }{ \sqrt{3y} } \\ \frac{2 \times |x| \times \sqrt{3y} }{ \sqrt{3y} \sqrt{3y} } [/tex]

[tex] \boxed{Answer:{\boxed{\green{= \frac{2 \sqrt{3y} \times |x| }{3y}}}}} [/tex]

what times 3 equals 0.5?

[tex](x)3=0.5[/tex]

Answers

Answer:

.16666667

Step-by-step explanation:

(x)3=0.5

divide both sides by 3

x    =.16666667

What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint

Answers

Using the midpoint concept, it is found that:

The midpoint of the line segment of endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex] is [tex](-2, 3\sqrt{3})[/tex].The midpoint of the line segment of endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex] is: [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.

For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:

[tex]x_M = \frac{2 - 6}{2} = -2[/tex]

[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]

The midpoint is [tex](-2, 3\sqrt{2})[/tex]

For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:

[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]

[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]

The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

A similar problem is given at https://brainly.com/question/24352869

There are a total of 84 campers attending a summer camp. The ratio of boys to girls is 4 to 3.

How many girls are attending the summer camp?

Enter your answer in the box.

Answers

There are 36 girls attending summer camp.

Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did priya raise?

Answers

Answer:

$960

Step-by-step explanation:

2,400 divided by 2.5 = 960

y divided by x = 950 (x) 2,400 (y)

A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.

Answers

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 

 Width is 4 cm less than the length, so w = L-4

 

  36 = 2L + 2(L-4)

 

 36 = 2L + 2L - 8

 

 36 = 4L - 8

 

44 = 4L

 

 L = 11

 

w = 7

 

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

Help me plz! I WILL MARK YOU BRAINLYST

Answers

Answer:

6.5 rounded from 6.53...

to see if this is correct we can:

13.5+9.5+6.5*3 = 42.5

but since we rounded it we can say its 6.5

Answer:

6.55 meters each day

Step-by-step explanation:

You know that in the end the fence must be 42.6 meters long.

On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).

So, how much is left? You find that by subtracting 22.95 from 42.6.

42.6-22.95 = 19.65 meters

There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.

19.65 / 3 = 6.55 meters of fence per day

fkhjglirugaeuzikjbvea HELP

Answers

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

what divided by 25 = 4.8?

Answers

Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

[tex]\frac{4.8}{1} =\frac{x}{25} \\[/tex]

Then cross multiply (multiply 4.8 by 25 and x by 1)

[tex]4.8(25) = x(1)\\120 = x[/tex]

At a farm the ratio of cows to horses was 9: 2 if there were 72 cows at the farm how many horses were there

Answers

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

-2 1/2 ÷6=
-5 5/8 ÷ 5=
-2 1/8 ÷ 1/4=
1 5/8 ÷ -1 3/5=
-4 1/3 ÷ -2 3/5=​

Answers

1) -1.75
2) -1.375
3) -10.5
4) -75/104
5) 205/69

Answer:

-2 1/2 ÷ 6 = -0.41

-5 5/8 ÷ 5 = -1.12

-2 1/8 ÷ -1/4 = -8.5

1 5/8 ÷ -1 3/5 = -1.01

-4 1/3 ÷ -2 3/5 = 1.66

,  Hope this helps :)

Have a great day!!

There are 4 consecutive integers that sum to 190. What is the greatest of these integers ?

Answers

Answer:

49

Step-by-step explanation:

x

x+1

x+2

x+3

-------

4x+6

4x+6=190

    -6  -6

4x=184

/4    /4

x=46

This is the first integer, but we have to find the last integer so,

46,47,48,49

mark is having a birthday party he included 15(and himself) He wants two cupcakes per person. Only 7 people came to the party. Write an equation for the problem and solve home many cupcakes each person will get.

Answers

Answer:

2 for each

Step-by-step explanation:

i think

Simplify (−8.5)(−5)( −2). (1 point)

Select one:

a.
850

b.
85

c.
−85

d.
−850

Answers

Answer:

C). -85 is correct answer

Step-by-step explanation:

This is a multiplication problem, so we can just multiply from left to right:

-8.5 x -5 = 42.5

42.5 x -2 = -85 (negative 85)

(Hope this helps can I pls have brainlist (crown)☺️)

The answer is -85
Because a negative times a negative equals a negative, and all of these numbers are negatives :)
So you would just simply multiply them all!

thoả mãn x biết 2(x+5)=x^2+5x

Answers

Answer:

=  2

=  − 5

Step-by-step explanation:

Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2
y-5= 2 (2 +9)
y-9=2(x+5)
y+9= 2(2-5)
y-9=2(x – 5)

Answers

Answer:  y-9=2(x-5)

Step-by-step explanation: The point (5,9) satisfies the equation:

y-9=2(x-5)  for (5,9)?

9-9=2(5-5) ?

0 = 0  YES

Slope of 2?  Rewrite:  

y-9=2(x-5)

y = 2(x-5)+9

The slope is 2  YES

CAN ANYONE PLZ HELP ME WITH THIS WORKSHEET .. I’ll mark as brainliest

Answers

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2

Answers

Answer:

It´s going to be B

Step-by-step explanation:

Solve F=D+Drt for t.....

Answers

Answer:

[tex]t = \frac{-D+F}{Dr}[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

[tex]Drt + D = F[/tex]

Step 2: Subtract D from both sides.

[tex]Drt + D - D = F - D[/tex] [tex]Drt = -D + F[/tex]

Step 3: Divide both sides by Dr.

[tex]\frac{Drt}{Dr} = \frac{-D+F}{Dr}[/tex] [tex]t = \frac{-D+F}{Dr}[/tex]

Juan graphed a line with a slope of −23 .

How does Juan count the slope from any point on the graph?


From any point on the graph, he counts down 2 then right 3 to end up on the line again.

From any point on the graph, he counts up 2 then right 3 to end up on the line again.

From any point on the graph, he counts down 2 then left 3 to end up on the line again.

Answers

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

Mistake in the question; The slope of the line is -2/3.

To count the slope of the graph from any point on the graph; He counts down 2 then right 3 to end up on the line again.

The slope of a linear graph refers to the change behaviour of its dependent variable (usually y-axis) with respect to its Independent variable (usually x-axis).

In essence;

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

Consequently, From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Read more:

https://brainly.com/question/23935638

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