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olganol [36]
3 years ago
12

HOS

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

B

Step-by-step explanation:

You might be interested in
Judy spent 3 hours driving 165 miles She thinks
sasho [114]

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

165 + 290 = 455 miles

I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).

6 0
2 years ago
I can’t figure this out
zysi [14]

Answer: -1/3 is the correct answer

Step-by-step explanation:

6 0
3 years ago
A dolphin jumps out of the water with
Mandarinka [93]

Answer:

t=1.25\ sec

Step-by-step explanation:

we have

h(t)=-16t^{2}+20t

where

t is the time in seconds

h is the dolphin's height in feet

we know that

When the dolphin return to the water the value of h(t) is equal to zero

so

For h(t)=0

0=-16t^{2}+20t

16t^{2}=20t

Simplify

16t=20

t=\frac{20}{16}

t=\frac{5}{4}=1.25\ sec

see the attached figure to better understand the problem

3 0
2 years ago
Assume that y varies inversely with x. If y=12 when x=5, find y when x=3
NemiM [27]
Inversely variation means xy = c, where c is a constant

Since when y = 12 x = 5, then c = 12*5 = 60

So xy = 60

Now when x = 3, y = 60/3 = 20
7 0
3 years ago
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
natta225 [31]

Answer: 2x + 5y = - 10, Cy + 4 = (x-5)

Dy - 4 = (x+ 5)

Step-by-step explanation:

Equation of the line

5x - 2y = -6

Conditions for perpendicularity

m1 x m2 = -1

To get m1, rearrange the equation

2y = 5x + 6

y = 5x/2 + 3

n1 = 5/2 and m2 = -2/5

To get C

y = mx +c

-4 = -2 x 5/5 + C

-4 = -2 + C

C = -4 + 2

C = -2

To get the equation of the second line

y = -2x/5 - 2

Multiply through by 5

5y = -2x - 10

2x + 5y = 10.

4 0
3 years ago
Read 2 more answers
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