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laila [671]
3 years ago
7

The graph of a line relates the volume as measured in gallons with its approximate equivalent volume measured in liters. Two

Mathematics
1 answer:
inna [77]3 years ago
3 0

answer:the answer would be c . 46 liters !!

Step-by-step explanation:if its wrong please correct me .

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A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl
worty [1.4K]

Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 =  {-21±√441+1288}/2x1  = -21±√1729/2

-21+√1729/2   -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2   -21-√1729/2

{-21+41.5812457726}/2   {-21-41.5812457726}/2

20.5812457726/2          -62.5812457726/2

10.2906228863              -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

4 0
3 years ago
Read 2 more answers
If bob earns 35,000 a month how much does he earn in 2 years and 75 weeks
nlexa [21]
Okay, do 35,000x24=840,000
840,000/104=8,077
8077x75=605,769
605,769+840,000=1,445,769.23
:-)
6 0
3 years ago
Read 2 more answers
Which of the following is a good strategy to solve this problem?
rewona [7]
Write an equation :)
8 0
3 years ago
Read 2 more answers
The distance between capeton & Jonesville is 80 miles. The scale on the map is 0.75 in 10 Mi how far part are the cities on
ikadub [295]

Answer:

6 in = 80 miles

Step-by-step explanation:

Given that:

Distance between Capeton and Jonesville = 80 miles.

Map scale : 0.75 in = 10 miles ; this means 0.75 inches on the map represents 10 miles on land.

Hence, If ;

0.75 inches = 10 miles

x inches = 80 miles

Cross multiply :

10 * x = 80 * 0.75

10x = 60

10x / 10 = 60 / 10

x = 6 inches

Hence,

6 in = 80 miles

4 0
3 years ago
PLS HELP! WILL GIVE BRAINLIEST
Leviafan [203]

Answer:

  • The center (2, 2.5), radius \sqrt{37} / 2

Step-by-step explanation:

<u>The standard form of the equation of a circle is: </u>

  • ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

<u>Rewrite the given equation in the standard form:</u>

  • 2x^2 + 2y^2 - 8x + 10y + 2 = 0
  • x^2 - 4x + y^2 + 5y = -1
  • x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
  • (x - 2)^2 + (y + 2.5)^2 = 37/4

<u>The center is:</u>

  • (2, 2.5)

<u>And radius is:</u>

  • <u />\sqrt{37} / 2

4 0
3 years ago
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