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patriot [66]
3 years ago
5

Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2)

. y = x +
Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer: -4/3x - 6

Step-by-step explanation:

First, let's find the slope of the line

y=- -4/3x+11

As the equation is already in slope-intercept form y=mx+c ,

Slope = -4/3

Let a point (x,y) be on the new line.

By finding the slope again,

y−2/x+6= -4/3

y−2= -4/3(x+6)

y−2= -4/3x−8

y = -4/3x - 6

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In one day, Ricardo hiked 2_ 2 3 times as far as Bernie and Chloe hiked before they ate lunch. How far did he hike?
umka21 [38]

Complete question :

Bernie and Chloe hiked the Tremont Trail to the end and back. Then they hiked the Wildflower trail to the end before stopping to eat lunch. Before Ricardo ate his lunch, he hiked 2 2/3 times as far as Bernie and Chloe. How far did he hike?

Required diagram is attached below

Answer:

25 miles

Step-by-step explanation:

Tremont Trail = 3 1/2 miles

Wildflower trail = 2 3/8 miles

Distance covered ; Tremont Trail and back : (3 1/2 * 2). = 7/2 * 2 = 14 /2 = 7 miles

Total distance covered by Bernie and Chloe before stopping for lunch /

(7 miles + 2 3/8 Miles) = 9 3/8 miles = 75/8 miles

Ricardo's distance = 2 2/3 * Bernie and Chloe's total distance

Ricardo's distance = 8/3 * 75/8 = 600 /24 = 25 miles

6 0
3 years ago
Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
2 years ago
Laura paddles in her canoe at a speed of 5 mph for 5 miles. She then hops on her windsurfer and sails for 12 miles at a speed of
Inessa05 [86]

Laura paddles in her canoe at a speed of 5 mph for 5 miles.

As we know that

\text{Distance=Speed*Time}\\ \\ Time=\frac{Distance}{Speed} \\

Substitute the values we get

Time=\frac{5m}{5mph}=1hr.......(i)\\

Laura hops on her windsurfer and sails for 12 miles at a speed of 6 mph.

Again using the above formula we can write

Time=\frac{12m}{6mph}=2hr.......(ii)\\

Hence from equation (i) and (ii), we can say total time of travel=1hr+2hr=3hr\\

5 0
4 years ago
Read 2 more answers
A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 and 1/2 cups of mixed nuts. the mixed nuts are shared evenly am
nika2105 [10]

Answer:

2 1/3 cups for each hiker

Step-by-step explanation:

8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker

4 0
3 years ago
Let x = 4.<br><br><br><br> What is the value of y in the equation y = 15 + 11 + x?
marishachu [46]
Okay so you have to add up 15 and 11 and 4 so your answer is y=30


5 0
3 years ago
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