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strojnjashka [21]
1 year ago
9

Selected value of each decimel number when it is rounded to the nearest whole number ​

Mathematics
1 answer:
PtichkaEL [24]1 year ago
6 0

Answer:

  1. 5
  2. 6
  3. 6
  4. 5

Remember the decimal <em>hundredths</em> rounding ruleset.

  • If a decimal is below .50, round down.
  • If a decimal is .50, round up.
  • If a decimal is above .50, round up.

View this array below to get a better image.

\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right]

So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8

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Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can
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speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

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Milo drives 126 miles on 7.5 gallons of gas. How far does he travel on each gallon of gas? 1.68 miles 16.8 miles 168 miles 1,680
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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
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