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V125BC [204]
3 years ago
7

What is the solution to the system of equations? {10x^2 - y = 48 2y = 16x^2 + 48

Mathematics
1 answer:
julsineya [31]3 years ago
6 0
A graph shows the solutions to be
  (x, y) = (-6, 312) or (6, 312)


To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
  10x^2 -(8x^2 +24) = 48
  2x^2 = 72
  x = ±√(72/2) = ±6
  y = 8*36 +24 = 312

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A cylinder has a base diameter of 20 meters and a height of 10 meters. What is it’s volume in cubic meters, to the nearest tenth
Korvikt [17]

3141.6 cubic meters

Step-by-step explanation:

The volume of a cylinder is given by;

πr²h

π * (²⁰/₂)² * 10

π * 100 * 10

= 3141.6

4 0
4 years ago
Dan's school is selling tickets to a play. On
katrin [286]

Answer: $9.50

Step-by-step explanation:Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

$483 - 42*S + 7*S = $150

$483 - 35*S = $150

$483 - $150 = 35*S

$333 = 35*S

$333/35 = S

$9.51 = S

That we could round to $9.50

That is the price of one student ticket.

4 0
3 years ago
What is the smallest number with three different prime factors which is not a multiple of 3 or 5?
weeeeeb [17]
Primes are
2,3,5,7,11,13...
ok, so it must be multiplule of 2,7 and 11
2*7*11=154

answer is 154

4 0
3 years ago
2x-56=34
inessss [21]

Answer:

x=45

Step-by-step explanation:

2x-56=34

Add 56 to both sides

2x-56+56=34+56

Simplify;

2x=90

Divide both sides by 2

2x/2=90/2

Simplify;

x=45

7 0
3 years ago
Read 2 more answers
X 2 +6x+___ complete the square
vaieri [72.5K]
9 is the blank.

(a+b)^2 = a^2 + 2ab + b^2

a = x
b = 3

(x+3)^2 = x^2 + 6x + 9
6 0
3 years ago
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