MATHEMATICS HIGH SCHOOL

Solve the following equation 2(x+5)=24

Answers

Answer 1

Answer:

Answer:

x=7

Step-by-step explanation:

2(x+5)=24

2(x)+2(5) =24

2x +10=24

- 10 -10

2x=14

2x/2x 14/2x

x=7

Hope this helps :)

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On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to the carnival and bought an ear of corn for $3 and played five games. If all the games cost the same amount to play, and Kelsey spent the same amount of money each day, how much does each game cost to play?A $1.00
B $1.25
C $1.50
D $2.00

Answers

set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
2=2x
x=1
Therefore the cost of 1 game is $1

The best answer is A since each game cost the same amount and she spent the same amount both days, u can just add the number of games for the first day which is 3 with $5 and get $8.and for the second day just add $3 with $5 and u get $8 again.

The first quartile of a data set is 51, and the third quartile is 67. Which of these values in the data set is an outlier?A. 49
B. 83
C. 93
D. 29

Answers

Given:
Quartile 1 = 51
Quartile 3 = 67

Interquartile range = Q₃ - Q₁
IQR = 67 - 51
IQR = 16

Inner fence of the data set:
16 x 1.5 = 24

67 + 24 = 91
51 - 24 = 27

Boundaries of inner fence are 27 and 91

16 x 3 = 48

67 + 48 = 115
51 - 48 = 3

Boundaries for outer fence are 3 and 115

C. 93 is an outlier. It is a minor outlier based on the boundaries of the inner fence.

Answer: 93

Step-by-step explanation: Apex said so

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?The discriminant is equal to −16, which means the equation has no real number solutions.
The discriminant is equal to −16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.

Answers

For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions.

The correct option regarding the discriminant of the quadratic equation is given by:

The discriminant is equal to −16, which means the equation has no real number solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , and it is a perfect square, it has 2 rational solutions.

If $\mathbf{\Delta > 0}$ , and it is not a perfect square, it has 2 irrational solutions.

If $\mathbf{\Delta = 0}$ , it has 1 rational solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

In this problem, we have that:

5x² - 2x = -1

5x² - 2x + 1 = 0

Hence the coefficients are a = 5, b = -2 and c = 1, while the discriminant is given by:

$\Delta = b^2 - 4ac = (-2)^2 - 4(5)(1) = -16$

No real solutions, hence the first option is correct.

More can be learned about the discriminant of quadratic equations at brainly.com/question/19776811

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X+y=10 , x+z=20 , y+z=24, x+y+z=???
and why??

Answers

$+\left\{\begin{array}{ccc}x+y=10\nx+z=20\ny+z=24\end{array}\right\ \ \ \ \ add\ both\ sides\n----------\n2x+2y+2x=54\ \ \ \ |divide\ both\ sides\ by\ 2\n\nx+y+z=27$

5/9 ÷ 5= please show the work

Answers

5/9 divide by 5=(5/9)/5=x
multiply both sides by 5
5/9=5x
multiply by 9/5
45/5x=9x
1=9x
divide both sides by 9
x=1/9

Are simplified ratios written in units?

Answers

Answer:

Step-by-step explanation:

Simplified ratios are not written in units.

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