What statement makes the open sentence 2.4 = 6x true?a. x = 4.0
b. x = 2.5
c. x = 0.4
d. x = 0.2

Answers

Answer 1

Answer: C. 0.4 times 6 is 2.4. Hope that helps.

Answer 2

Answer: Your answer is C. x = 0.4

Hope this helps.

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Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side?

Answers

Answer – 19 inches
The smallest possible whole-number length of the longest side of an obtuse triangle is the next integer greater than the Pythagorean distance of the other two sides.
Given,
A = 10
B = 15
Pythagoras theorem;
C^2 = A^2 + B^2
C^2 = 15^2 + 10^2
C^2 = 225 + 100
C^2 = 325
C = 18.03
Therefore, the smallest possible whole-number length of the longest side is the next integer greater than 18.03 inches.
The smallest possible whole-number length of the longest side is 19 inches

Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08

36
35
34
33

Answers

The required estimation is 34 that the given number by rounding each addend to the nearest whole number.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9

The sum is given in the question:

19.43 + 11.5 + 3.08

We have to estimate the given number by rounding each addend to the nearest whole number.

According to the given condition, the required solution would be as:

⇒ 19.43 = 19 nearest whole number

⇒ 11.5 = 12 nearest whole number

⇒ 3.08 = 3 nearest whole number

⇒ 19 + 12 + 3 = 34

This is the estimated whole number sum.

Therefore, the correct answer would be an option (C).

Learn more about the number system here:

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Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08
=> 19.43 = 19 nearest whole number
=> 11.5 = 12 Nearest whole number
=> 3.08 = 3 nearest whole number
=> 19 + 12 + 3 = 34 is the estimated whole number sum.

An electronics company has been producing 1705 CD players a day working two shifts. The second shift has produced 95 Cd players fewer than four-fifths of the number of Cd players produced by the first shift. Determine the number of CD players produced by the second shift.

Answers

4/5 multiplied by 95 which is 76

Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cable continues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Which system of equations can be used to model this situation?

Answers

The answer to the question above as to which system of equations can be used to model the situation of Graham and Hunter when a cable lifts Graham into the air at a speed of 1.5 ft/s and Hunter throws the ball from a position of 5 ft. above the ground with an initial velocity of 24 ft/s. the equation will be : H = 18t + 1.5t - 16t ^ 2
H = 5 + 24t - 16t ^ 2

The equation of Graham cable is h(t) = -16t² + 1.5t + 18 while The equation of Hunter ball is h(t) = -16t² + 24t + 5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of a projectile at time t is:

h(t) = -16t² + ut + h'

Where u is the initial velocity and h' is the initial height.

The equation of Graham cable is:

h(t) = -16t² + 1.5t + 18

The equation of Hunter ball is:

h(t) = -16t² + 24t + 5

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Please make sure you answer with all the steps

Thanks you so much :)

Answers

the discriminant tells how many solutions and what type
b^2-4ac is that disccriminant
where you have ax^2+bx+c=0
a=3
b=-5
c=4
discriminant=(-5)^2-4(3)(4)=25-somethingbiggerthan25=negative
since it is negative, you will have 0 real solutions and 2 complex solutions (if you remember quadratic formula, the discriminat is under sqrt sign so if it is negative you get complex roots)

18. 0 real roots

19. hit the ground means height=0
set to zero and solve
0=-16t^2+25t+3
use quadratic fomrula
for equaiton ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

a=-16
b=25
c=3
x= $\frac{-25+/- \sqrt{25^(2)-4(-16)(3)} }{2(1)}$
x= $(-25+/- √(625+192) )/(2)$
x= $(-25+/- √(817) )/(2)$
apxos
x=1.79161 or -26.7916
since x=time, we can't have negative time so
it take 1.79161 seconds

20.
t=1
sub1 for every t
h(1)=-16(1)^2+25(1)+3
h(1)=-16+25+3
h(1)=12

12 feet

18. zero real roots
19. t=1.79161 seconds
20. 12 feet

18. (i dont know this one but I know rest )Solve 3x^2-5x+4=0 by using quarartic equation ((-bV(b^2-4ac))/2a) If you put in values for a=3 b=-5 and c=4. You get no answer

19. Solve the quaratic equation for a=-16 b=25 c=3 to get about 1.67447537 seconds for one solution. the other is in -, so that one isn't the answer.

20. when the time is 1, then you can insert the into h(t) by doing h(1)=-16*1^2 +25*1^2 +3 to get 12. that means that the balloon is at 12 feet at one second.

Below are the ages of 21 CEOs. 46, 48, 49, 49, 50, 52, 54, 55, 57, 57, 58, 59, 60, 61, 62, 62, 63, 63, 65, 67, 75 Find the mean- median- mode- Are there any outliers? Explain.