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sp2606 [1]
3 years ago
10

21x cubed - 18x squared y + 24xy squared

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0
21x³ - 18x²y + 24xy²

Simplify!

7x³ - 6x²y + 8xy²
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On another map the distance between saugerties and kingston is 2 inches. Whar would tge distance from saugerties to catskill be
Mariana [72]

The question is incomplete. The map is attached as a photo and here is the complete question:

a. What is the actual distance between Saugerties and

Kingston? ___________________________

b. Catskill is 15 miles from Saugerties. What would the

distance on the map be? ___________________________

c. On another map, the distance between Saugerties and

Kingston is 2 inches. What would the distance from Saugerties to

Catskill be on this map? __________________

Since you have asked the answer for part (c) only, here is the answer:

Answer:

<u>The distance from Saugerties to Catskill would be </u><u>3 inches</u><u> on this map.</u>

Step-by-step explanation:

On the given map, the distance between Saugerties and Kingston is 4 inches and the scale is <u>1 inch = 2.5 miles.</u>

To calculate the actual distance in miles between Saugerties and Kingston, consider the given scale:

1 inch ---------- 2.5 miles

4 inches ------ x miles

Cross multiplying:

1x = 2.5 x 4

x = 10 miles

The actual distance between Saugerties and Kingston is 10 miles.

On another map, the distance between Saugerties and Kingston is 2 inches. Which means the scale is 2 inches = 10 miles. So 1 inch = 10/2 = 5 miles

The scale on the other map is 1 inch = 5 miles.

Catskill is 15 miles from Saugerties (given in the previous part). So on the map:

1 inch -------- 5 miles

y inch ------- 15 miles

Cross multiplying:

15 = 5y

y = 15/5

<u>y = 3 inches.</u>

The distance from Saugerties to Catskill would be 3 inches on this map.

7 0
3 years ago
A garden measuring 9 meters by 4 meters is going to have a walkway constructed all around the perimeter, increasing the total ar
marysya [2.9K]

Answer:

3 metres

Step-by-step explanation:

Let the width of the pathway be x

Area: (9+2x)(4+2x)

36 + 8x + 18x + 4x²

4x² + 26x + 36

Increased area is 150:

4x² + 26x + 36 = 150

4x² + 26x - 114 = 0

2x² + 13x - 57 = 0

2x² + 19x - 6x - 57 = 0

x(2x + 19) - 3(2x + 19) = 0

(x - 3)(2x + 19) = 0

x = 3, x = -19/2

4 0
3 years ago
Read 2 more answers
A camp needs 100 students to help with the 4-year old campers. Eight students from 4 different classes have agreed to help. How
vladimir2022 [97]

Answer:

68

Step-by-step explanation:

First you multiply 8 and 4 to get 32 and that shows you how many campers have agreed to help. Next you have to subtract 32 from 100 to know how many more people you need.

8 0
3 years ago
Solve the following factorize and the en- equation of quadrate equation X² + 5x + 7 x = 0​
nlexa [21]

Answer:

{-12,0}

Step-by-step explanation:

first to solve this can collect like terms and add

X² +12x=0

and solve it by factorization method

X² +12x=0

x(x+12)=0

it means x multiplied by x = X² then x multiplied by 12 = 12x

so this means x or (x+12) equals to zero

x=0 and (x+12)=0

x+12=0

x=-12

so the solution set is {-12,0}

but can also be done by formula method

8 0
2 years ago
A kite is flying on the end of a 300-ft string. The kite string makes a 65 degree angle with the ground. How far above the groun
Lisa [10]
5000 meters wide and 6 yards long
3 0
3 years ago
Read 2 more answers
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