Nine minus the quotient of two and a number x.

Answers

Answer 1
Answer:

Answer:

9 - ( 2 ÷ x )

Step-by-step explanation:


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What is the greatest amount of money that rounds to​ $108.60 when rounded to the nearest​ dime? What is the least amount of money that rounds to​ $108.60? Explain your answers.

Answers

Answer:

$108.59  

Step-by-step explanation:

The dime which is worth 0.10 U.S. dollar, is a ten-cent coin, one-tenth of a United States dollar

the value is 0.1

Now in rounding up of numbers the dime is located one decimal place away i.e 0.5 in the number given in the problem statement

to round up to the nearest dime we have to consider the next number to the dime if this number is greater than 5 we will round up if it is less than five we can not perform any rounding up operation

hence the greatest amount of money is

since the number next to 5 is 9 and 9 is greater than 5 we will round up from 5 to 6

This makes 108.59  the greatest amount of money that rounds to​ $108.60

Final answer:

The least amount of money that rounds to $108.60 is $108.60. The greatest amount that rounds to $108.60 is $108.64.

Explanation:

When rounding to the nearest dime, there is a range of values that can round to $108.60. The least amount of money that rounds to $108.60 is exactly $108.60 because when you are at the target, you don't need to round up or down. The greatest amount that rounds down to $108.60 would be any amount that is less than halfway to the next dime, which is $108.65. So, anything less than $108.65, but more than $108.60, would round to $108.60. As such, the greatest amount that would round to $108.60 when rounded to the nearest dime would be $108.64.

Learn more about Rounding Numbers here:

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What is the solution to the inequality?3x – 11 < –2


A.x < 3

B.x > –3

C.x < –3


D.x > 3

Answers

Hello,

3x-11<-2
==>3x<-2+11
==>3x<9
==>x<9/3
==>x<3
 Answer A

9,277,414 The 7 in the thousands place is _____ the value of the 7 in the ten thousands place A. 10x B. 100x C. 1/10 D.1/100 E. 1/1000

Answers

Answer:

C. 1/10

Step-by-step explanation:

yes, it is in the thousands place, but it's comparing the 7 in the ten thousands place to the 7 in the thousandths place. If it said the 7 in the ten thousands is _____ the value of the 7 in the thousands place, the answer would be A. 10x.

10,000/10=1,000 so the answer is C. 1/10.

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y equals negative 0.04x squared plus 8.3x plus 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth meter. (1 point)
208.02 m
416.03 m
0.52 m
208.19 m

Answers

ok

y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate

set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}
a=-0.04
b=8.3
c=4.3
x=\frac{-8.3+/- \sqrt{8.3^(2)-4(-0.04)(8.3)} }{2(-0.04)}
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m


Eight less than ten times a number is 82

Answers

Eight less than ten is another way of saying 10-8. So it is saying 2 times a number is 82. This can be represented as 2x=82. Divide both sides by 2 to get x=41. So the "number" is 41.

Break it down
- Ten times a number --> 10n
- Eight less --> - 8

**So 10n - 8 = 82
Add 8 to both sides
10n = 90
Divide 10 on each side
n = 10

Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.
  2c + 3d =  1 ⇒ 2c + 3d = 1      ⇒ 2c + 3d = 1
-3c +  d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
                                                               -7c = 16
                                                               -7c = 16
                                                               -7      - 7
                                                                 c = -2 2/7
                                                       2(2 2/7) + 3d = 1
                                                           4 4/7 + 3d = 1
                                                          -4 4/7           -4 4/7
                                                                       3d = -3 4/7
                                                                       3d = -3 4/7
                                                                        3          3
                                                                         d = -1 4/21
                                                                   (c, d) = (-2 2/7, -1 4/21)