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Lelu [443]
2 years ago
10

__

Mathematics
2 answers:
Nuetrik [128]2 years ago
4 0

let x = 0.3636363636…

then 100x = 36.363636…

Subtract the two from each other you get

100x - x = 36.363636… - 0.363636…

Notice that the repeating 36s line up perfectly and will subtract out to exactly 0/

99x = 36 : Divide both sides by 99

x = 36/99 : Divide out the common 9 in both the numerator and the denominator

x = 4/11
Alenkasestr [34]2 years ago
3 0

Answer:

0.36 = 36/100 = 9/25

so the simplest form is 9/25

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Plz help when possible
BabaBlast [244]

Answer: G

Step-by-step explanation:

The total bottle sold on monday is so i'm gonna assume that 40 people were in the cafeteria that day. The cafeteria had 80 customers, which is double the amount of customers from yesterday. If we want to make predictions from monday's data, we should double all the values in the table (so basically apple juice is now 22, cranberry is 14, etc.) so it's more fitting to the number of customers on tuesday.

apple - 22

cranberry - 14

orange - 36

pineapple - 8

G is not supported because it says that 6 times more apple juice will be sold than cranberry. So if we look at the [modified} table, cranberry is WAY over half the amount of apple juice. This means that G's statement is not supported by the table

8 0
3 years ago
Find the center and radius of the circle described by the equation
Debora [2.8K]
Complete the square fr x and y's sepreatly to get into form
(x-h)²+(y-k)²=r²
the center is (h,k) and radius is r

so


group x's and y's seperatly
(4x²-10x)+(4y²+24y)+133/4=0
undistribute leading confident from each
4(x²-2.5x)+4(y²+6y)+133/4=0
take 1/2 of each linear confident and square it and add negative and positive inside the parenthasees
-2.5/2=-1.25 (-1.25)²=1.5625
6/2=3, 3²=9
4(x²-2.5x+1.5625-1.5625)+4(y²+6y+9-9)+133/4=0
factor perfect squares
4((x-1.25)²-1.5625)+4((y+3)²-9)+133/4=0
expand
4(x-1.25)²-6.25+4(y+3)²-36+133/4=0
4(x-1.25)²+4(y+3)²-9=0
add 9 to both sides
4(x-1.25)²+4(y+3)²=9
divide both sides by 4
(x-1.25)²+(y+3)²=9/4
(x-1.25)²+(y+3)²=(3/2)²

the center is (1.25,-3) and the radius is 1.5
8 0
3 years ago
What is the length of the diagonal of the rectangle?
lapo4ka [179]

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

We have the two legs and are looking for the hypotenuse

a^2 + b^2 = c^2

17^2 +12.75 ^2 = c^2  where c is the diagonal

289 +162.5625 = c^2

451.5625 = c^2

Take the square root

sqrt(451.5625) = sqrt(c^2)

21.25 =c

4 0
2 years ago
Read 2 more answers
In to see the<br><br> 2x+y=20<br><br> 6x 5y = 12
Andre45 [30]

Answer:

1: x = 10 − \frac{y}{2}

y = 20 − 2 x

2: x = \frac{25}{y}

y = \frac{25}{x}

Step-by-step explanation:

6 0
2 years ago
Evaluate the expression.26<br> A.26 <br> B.12 <br> C.26 <br> D.36 <br> C.64
klemol [59]

Answer:

Step-by-step explanation: is b

8 0
3 years ago
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