Both questions plssssssss

Answer:

The product of the third by the sixth term of an arithmetic progression is 406. The division of the ninth term of the progression by the fourth term gives a quotient 2 and a remainder 6. Find the first term and the difference of the progression.

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288

Answer:

(-3,3)

Step-by-step explanation:

because it's where the graphs intersect, meaning the point is contained in both solutions

Answer:

Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION

Answer:

b = 12

Step-by-step explanation:

a^2 + b^2 = c^2

25 + b^2 = 169

b^2 = 144

b = 12

Answer:

what is the question

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

Answer:

3 units to the right of -5

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

Answer:

no

Step-by-step explanation:

The 6th and 5th terms of the giving sequence are respectively; 24 and 15

We are given the first 3 terms of the sequence as; 1, 3 and 5.

We are told that the 7th term is 35.

Let xₙ be the nth term number in the quadratic sequence

dₙ is first difference number in the quadratic sequence

From the given sequence, we see that there is a common difference of 2 for the first 3 terms and so they follow an arithmetic sequence which is;

dₙ = 2n - 1

However, when we apply this up to the 7th term, that would not work. Thus, let us use the differences. We see that sum of two consecutive number position of terms is equal to the difference between the two consecutive terms.

Thus;

difference between 3rd and 4th term = 3 + 4 = 7

difference between 5th and 6th term = 4 + 5 = 9

difference between 6th and 7th term = 5 + 6 = 11

Thus, since 7th term is 35, then;

6th term = 35 - 11 = 24

5th term = 24 - 9 = 15

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

Answer:

37 cubic cm should be the answer sorry if I am wrong

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

Answer:

3:10

Step-by-step explanation:

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Answer:

399

Step-by-step explanation:

28.5 × 3.5 × 4

Answer:

y=24,x=20/3

[tex]y = 3x + 4[/tex]

[tex]8 = 6 \times 2y[/tex]

[tex] 2y = 8 \times 6 [/tex]

[tex]y = 24[/tex]

[tex]24 = 3x + 4[/tex]

[tex] - 3x = 4 - 24[/tex]

[tex] x = \frac{20}{3} [/tex]

Answer:

4xy=x or ?

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

Answer:

C. 66n - 31m

Step-by-step explanation:

26n - 7m + 4(10n - 6m)

26n - 7m + 40n - 24m

26n - 31m + 40n

66n - 31m

Answer:

let the ratio of ram and hari be 7x and 9x respectively

7x +9x=272

or, 16x=272

or,x=272÷16

or,x=17

ratio of ram=7x=7 × 17=119

ratio pf rahim=9x=9×17=153

Answer:

466.2 ft²

Step-by-step explanation:

10x24=240

1/2[tex]\pi[/tex]12²=226.194671

240+226.194671=466.194671