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s344n2d4d5 [400]
2 years ago
9

If Alice walks 4 miles in 50 minutes, then Alice will walk how far in 80 minutes if she walks at the same speed the whole time?

If necessary, round your answer to the nearest tenth of a mile.
Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

Answer:

70/3=23.33 minutes/mile. 110/23.33=4.714 miles.

Step-by-step explanation:

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When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a
djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

<span>As there’s no direct way to find x, we can use the <span>Bhaskara formula:</span></span>

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) <span> + 75 = </span>-78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.


Window x = [ -15, 0] y = [ -78.125, 75]
5 0
3 years ago
A middle school yearbook committee has 35 members. There are 7 more girls than boys. Write a system of linear equations, define
frez [133]

if the number of boys is x ,then the number of girls is x+7,so 2x+7=35,we can know x=9,so the number of boys is 9,and girls are 16

5 0
3 years ago
jesse is putting a ribbon around a square frame. He uses 24 inches of ribbon. How long is each side of the frame
OverLord2011 [107]
Answer
24÷4=6
So six
7 0
2 years ago
A hiker carried 1 gallon of water on a hike. She drank 1/2 of the water when she stopped to rest and gave an equal amount of the
m_a_m_a [10]

Answer:

The answer to your question is 1/8

Step-by-step explanation:

Data

Total volume = 1 gallon

Water drank by the hiker = 1/2

Water drank by each of his friends = ?

Process

1.- Calculate the water that he gave to his friends

Water gave to his friends = 1 - 1/2

                                          = 1/2

2.- Calculate the amount of water each friend received.

            1/2 ÷ 4 = 1/8

3.- Conclusion

Each of the friends received 1/8 of the gallon.              

6 0
3 years ago
Please help! I'm giving branniest for the correct answer! (SHOW WORK)​
scoray [572]

Answer:

102

Step-by-step explanation:

it's a parallelogram so it's BxH

A = 15x8 = 120

inside rectangle A is LxW

6x3 = 18

subtract the inside from the outside

120-18 = 102

6 0
3 years ago
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