Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .

Answer:

X=10

X=-8

Step-by-step explanation:

(x+1)*(x-3)=77

x²-3x+x-3=77

x²-2x-3=77

x²-2x-3-77=0

x²-2x-80=0

(x-10)*(x+8)=0

x-10 = 0

x=10

x+8=0

X=-8

The two possible numbers that satisfy the given equation model are -8 and 10.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the successor of a number, when multiplied by the number decreased by 3 units, 77 is obtained.

Assume the number to be [x]. Its successor would be [x + 1]. Then, we can write -

(x + 1)(x - 3) = 77

Refer to the graph attached. The [x] - intercepts the solution. We get -

x = - 8

x = 10

Therefore, the two possible numbers that satisfy the given equation model are -8 and 10.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

[Refer to question in english -

Find the number that meets the following condition: if its successor is multiplied by the number decreased by 3 units, 77 is obtained.]

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

Answer:

f>-2

Step-by-step explanation:

-5f+5<15

Isolate f

-5f<10

Isolate

-f<2

Because f is negative we have to flip the sign

f>-2

If this helps please mark as brainliest

Answer:

Step-by-step explanation:

radius =diameter/2

=15/2

=7.5 mm

circumference=2πr

=2*3.14*7.5

=47.1 mm

The equation that can be used to determine the circumference of the DVD is π15.

The DVD has the shape of a circle. The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.

The circumference of a circle = πD

Where:

d is the diameter

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

C

Step-by-step explanation:

0.20x only tells you 20% of the original gym size, not the increased size of the gym.

Answer:

Answer C can not be used to find the new size of the gym.

Step-by-step explanation:

Let's use process of elimination!

A is stating 1.20x, or 120% of x. This is correct, because we have x and then were increasing by 20%, which is just 120%. A is however not the answer because we are asking which expression below could not be used, and A could be used. B is also incorrect because of what I just stated, x + 0.20x is the same thing as 1.20x. C is 20% of x, but that won't get us the answer. C is the correct answer since it cannot be used to find the new size of the gym, but if you really want to you can check answer D as well. In answer D you can distribute the x to the 1 and the 0.20, and you get x + 0.20x, which is the same as answer B. Therefore C is the correct answer.

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!

Answer:

Step-by-step explanation:

Hope this helps u!!!

Answer:

x = 98; y = 112

Step-by-step explanation:

Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.

x + 82 = 180

x = 98

y + 68 = 180

y = 112

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

Answer:

The answer is most likely B..

Step-by-step explanation:

I do not know BUT I WANT TO KNOW

Answer:

B

Step-by-step explanation:

Just did the test

Hope I could help :)

Answer:

we know that 8+6x=30+4x+2

2x=24

x=12

pls mark as brainliest

Answer:

Step-by-step explanation:

By applying the Exterior angle theorem.

[tex]\bf 30+4x+2+8+6x[/tex]

[tex]\bf 4x+30+2=8+6x[/tex]

[tex]\bf 4x+32=8+6x[/tex]

[tex]\bf 4x+32-32=8+6x-32[/tex]

[tex]\bf 4x=6x-24[/tex]

[tex]\bf 4x-6x=6x-24-6x[/tex]

[tex]\bf -2x=-24[/tex]

[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]

[tex]\bf x=12[/tex]

Answer:

x = 15, y = 50

Step-by-step explanation:

8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then

2x + 18 + 8x + 12 = 180

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

8x + 12 = 8(15) + 12 = 120 + 12 = 132

3y - 18 and 8x + 12 are vertical angles and are congruent, so

3y - 18 = 132 ( add 18 to both sides )

3y = 150 ( divide both sides by 3 )

y = 50

X = 15

Y = 50

(8x+12) + (2x+18) = 180 -- combine like terms

10x + 30 = 180 -- subtract 30 from both sides

-30 -30

10x = 150 -- divide by 10 on both sides

x = 15

and for y:

plug x into (8x+12)

8(15) + 12 = 3y - 18

120 + 12 = 3y - 18

132 = 3y - 18 -- add 18 to both sides

150 = 3y -- divide both sides by 3

y = 50

Answer:

The answer is A.

Step-by-step explanation:

yes

Answer:

total 10th grades who are 15 years old would be 7 in the empty box

Step-by-step explanation:

2 plus 7 plus 10 is 19, simple math

Answer:

m+n

Step-by-step explanation:

Answer:

conjugate of (x-[tex]\sqrt{2}[/tex]) is (x+[tex]\sqrt{2}[/tex])

Step-by-step explanation:

Answer:

if its addition then it will be 79cm

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

[tex] - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

-6x^2 - x - 3

Step-by-step explanation:

(-2x^2 -5x +3) + (-4x^2 + 4x -6)

open the brackets .Remember while opening the brackets signs also get multiplied .

=-2x^2 -5x +3 - 4x^2 + 4x -6

=-6x^2 -x -3

(minus * minus) sign=plus sign

(minus * plus) sign=minus sign

(plus * plus) sign=plus sign

(minus + minus) sign=plus

(plus + plus) sign=plus sign

Answer:

The answer is the last one....

Step-by-step explanation:

Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...

if you do these problems in a class you are taught for sum/diff of cubes

the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...

"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite  Always plus (that works) ....

bottom line here is that you answer needs cubes under the division, and the

end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer

Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians