I need to know how to set this problem up. On monday a security guard spent 4.5hours on patrol and 2hours on surveillance.On tuesday the officer spent 1 hour and 40 minutes on surveillance and 3 hours on patrol. Which day has a greater ratio of time on surveillance to time on patrol. some one said 7hours ans 30min on patrol and 40min on surveillance???

Answers

Answer 1

Answer: OK.......

So,
ON MONDAY:
Time spent on patrol = 4.5 hrs
Time spent on surveillance = 2 hrs

ON TUESDAY:
Time spent on patrol = 3 hrs
Time spent on surveillance = 1 hr 40 min

Now,
The question is asking us the ratio of surveillance to patrol so, the value of surveillance needs to be on the top.

So,
Let's first change all the units to common units.....i.e. either hrs. to minutes or minutes to hrs.

In this case .....i think it will be easier to convert minutes to hrs.. because if we do that ...we only have to do one conversion.

So,
1 hr. 40 minuter = 1hr + (40 /60) hrs
= 1 + 0.67
= 1.67 hrs

So,
ON TUESDAY:
Time spent on surveillance = 1.67 hrs

Now,
Let us find the ratio of surveillance to patrol on both days:

ON MONDAY:
Ratio of surveillance to patrol = $(2)/(4.5)=.44444444444$

ON TUESDAY:
Ratio of surveillance to patrol = $(1.67)/(3)=.556666667$

Now,
If we look at the ratio, the ratio of TUESDAY sure is greater than ratio on MONDAY

So, Tuesday has a greater ratio of time on surveillance to time on patrol

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What is the line symmetry for the graph of y= -3x^2+12x-11

Answers

Answer:

The line of symmetry is x=2

Step-by-step explanation:

Given: $y=-3x^2+12x-11$

We are given a quadratic equation and to find the line of symmetry.

As we know the line of symmetry of parabola passes through the x value of vertex.

If vertex of parabola is (h,k) then equation of line of symmetry x=h

So, first we find the vertex of parabola.

For equation: $y=ax^2+bx+c$

$x=-(b)/(2a)$

For given equation, a=-3 and b=12

Therefore, $x=-(12)/(2(-3))$

$x=2$

Hence, The line of symmetry of given parabola is x=2

The answer to your question is x=2. what you want to do is find both the x values for your quadratic equation and then add them and divide by 2.

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. The box needs to have the MAXIMUM volume possible. How long should the cuts be?A) 1.5 in.
B) 5.8 in.
C) 52 in.
D) 80 in.

Answers

Answer:

correct answer is A

Step-by-step explanation:

1.5 in

b) I think because it's 8 by 10

Someone please help me

Answers

Step-by-step explanation:

-12.6x - 4.9x = -154

-17.5x = -154

17.5x = 154

x = 154/17.5

x =8.8

#CMIIW

If mAC=178 degrees, and mBC=42 degrees, what is m angle BDC?

Answers

The measurement of angle BDC is 44 degrees. This can be computed by subtracting 178 degrees from 180 degrees which is 2 degrees. Then using the given mBC which is 42 degrees add this to the 2 degrees which came from the difference computed above. Then it will give us the answer of 44 degrees.

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?

Answers

For Rita
=> 11 dollars (r) + 32 dollars - r is for the number of hours she worked and the additional 32 dollars is for her over time.
For TIna
=> 11(t) - T is for the number of hours tina worked in the supermarket.

Answer: Equation for Tina be $11t$

Equation for Rita be $11r+32$

Step-by-step explanation:

Since we have given that

Number of hours Rita worked for = r

Number of hours Tina worked for = t

Cost per hour = $ 11

Amount for overtime Rita earned = $32

So, the equation expressing total weekly wage for Tina be $11t$

The equation expressing total weekly wage for Rita be $11r+32.$

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.