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Alex_Xolod [135]
3 years ago
6

Can anyone help me in this questions​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

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henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to
Airida [17]
Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles.  After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5).  Let's find the slope of the line thru these 2 points:

                                 d-51.5 - (d-68)         16.5 miles
slope of line = m = ----------------------- = ------------------
                                     71 - 45                   26 min

Thus, the slope, m, is   m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or 

d - 50.135 miles.  We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes:  Henry has d - 68 miles to go;

After 71 minutes, he has        d - 51.5 miles to go; and

After 79 minutes, he has         d -  x miles to go.  We need to find x.

Actually, much of this is unnecessary.  Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles.  Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.




7 0
3 years ago
When x = 8, y = 12. Find y when x = 80
gtnhenbr [62]

Can you give an equation


5 0
3 years ago
Read 2 more answers
Please answer 2.) a and b!
KatRina [158]

1.a. correct

1.b. \sqrt{121} - \sqrt{9} = 11 - 3 = 8

1.c. correct

1.d. -\sqrt{36} - \sqrt{100} = -6 - 10 = -16

2.a. 7 - x + 3w - 9

Terms: 7, -x, 3w, -9

Variables: x, w

Coefficients: -1, 3

Constants: 7, -9

2.b. -g + 8k - 3 - 7

Terms: -g, 8k, -3, -7

Variables: g, k

Coefficients: -1, 8

Constants: -3, -7

3.a. correct

3.b. correct

3.c. -5+ 4x = -x

4.a. 4(2x + 3) = 8x + 12

4.b. -2(3x + 4) = -6x - 8

4.c. -5(2x - 3) = -10x + 15

7 0
3 years ago
Banana
Tcecarenko [31]

Answer:

almost 567 students

Step-by-step explanation:

all fruits = 23+18+34+27+18 = 120

possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60

possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students

6 0
2 years ago
A shirt originally cost $50.97, but it is on sale for $40.78. What is the percentage decrease of the price of the shirt? If nece
Nina [5.8K]

Answer:

20% decrease.

Step-by-step explanation:

difference over original

50.97-40.78= 10.19

diff/orig=sales tax

10.19 / 50.97= 19.99..

19.99 is approximately 20.

6 0
4 years ago
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