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Angelina_Jolie [31]
3 years ago
6

How long would it take to travel 315 mi at the rate of 45 mi/h

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Answer: A. 7 hours

Step-by-step explanation: divide

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What's the slope of the line passing through points (7,-7) and (1,-4)?
GrogVix [38]
(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope
4 0
3 years ago
a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

∴ 4x+3h = 120

now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

6 0
1 year ago
Verify that the given value is the solustion of the equation x=6 for 2z-4=8​
klemol [59]

Answer:

8-4=2z.. 2z+4=6 so x=6

6 0
3 years ago
Sorry another question!
Julli [10]

Answer:

you start counting from left to right

when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.

Step-by-step explanation:

for example for 4 :

1. we can choose two numbers next to each other like 1 and 1.1

2. subtract second from first like 1.1 - 1 = 0.1

3. 1.1 + 0.1 = 1.2

1.2 + 0.1 = 1.3

and ...

so the common difference is 0.1

8 0
3 years ago
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
Genrish500 [490]

Answer:

Giant has the better deal

Step-by-step explanation:

4.00/ 12 is .3333333

6.00/20 is .30

so . 30 is less that .3333333333

therefore Giant has the better deal

7 0
3 years ago
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