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mr Goodwill [35]
3 years ago
14

The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

Answer:

The new jar is smaller.

Step-by-step explanation:

Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.

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A garden is in the shape of a square with a perimeter of
ElenaW [278]

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

 P1= 64 feet/4 sides

 P1= 16 feet

 Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

 P2 = 20 feet x 4 sides

 P2 = 80 feet

 The sum of the perimeters of both fences is:

 PT = P1 + P2

 PT = 64 feet + 80 feet

 PT = 144 feet

 Total cost = 1.17 $ x 144 feet

 Total cost = 168.48 $

 The total cost of the fences was $ 168.48

6 0
3 years ago
Write a polynomial equation in standard form with the following zeros<br><br> 4,9
Evgen [1.6K]

Answer:

y = x² - 13x + 36

Step-by-step explanation:

Given the zeros x = 4 and x = 9, then the corresponding factors are

(x - 4) and (x - 9)

The polynomial is then the product of the factors

y = (x - 4)(x - 9) ← expand using FOIL

y = x² - 13x + 36

3 0
2 years ago
A1,a2,a3....a30-each of these 30 sets has 5 elements.b1,b2,....bn-each of these n sets has 3 elements.union of a1,a2...a30=union
zzz [600]
 the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x.  Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set.  if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times.  This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
5 0
3 years ago
Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1,
expeople1 [14]

Answer:

  • x = 4

Step-by-step explanation:

<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>

  • y = mx + b

<u>The slope is:</u>

  • m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>

  • 2 = 5(1) + b
  • b = 2 - 5
  • b = -3

<u>The line is:</u>

  • y = 5x - 3

<u>Point (x, 17), substitute y-coordinate and solve for x</u>

  • 17 = 5x - 3
  • 5x = 17 + 3
  • 5x = 20
  • x = 20/5
  • x = 4
5 0
3 years ago
Read 2 more answers
There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 pe
maria [59]

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

x - 19 + 17 = 63\\; if x = # people at the beginning

x - 19 + 17 = 63\\x - 2 = 63\\x = 65

There were 65 people on the train to begin with.

6 0
3 years ago
Read 2 more answers
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