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Ad libitum [116K]
3 years ago
12

Lucy has one and one fourth cup of sugar in a cookie recipe calls for 2/3 cup of sugar how many cups of sugar will she have left

after making her cookies​
Mathematics
1 answer:
cluponka [151]3 years ago
5 0

Answer:

\frac{7}{12}

Step-by-step explanation:

1 \frac{1}{4}  -  \frac{2}{3}  = \frac{5}{4}  -  \frac{2}{3}  =  \frac{15 - 8}{12} =  \frac{7}{12}

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).
mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2

\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y

\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y

\implies 4x +8x-10y+2y = 16 + 1 -25-4

\implies 12x - 8y = 17 - 29

\implies 12 x - 8 y = - 12---------(1)

Similarly, QO = RO

\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2

\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y

\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y

\implies - 8x -4x-2y-6y=4+9-16-1

\implies -12 x - 8 y = 13 - 17

\implies 12 x + 8 y = 4   ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0
3 years ago
The gravitational strength on Earth is less than the gravitational strength on Neptune. Which statement is correct?
murzikaleks [220]
The mass of an object will never change no matter what, however, the weight relies on gravity. So therefore, the answer would be D.
5 0
3 years ago
Equation which i dont like math not no brainly my question 3 (k-12)=k-30
vaieri [72.5K]
3 (k-12) = k-30

3k - 36 = k - 30

3k - k = -30 + 36

2k = 6

k = 3
7 0
3 years ago
Read 2 more answers
Explain why you cannot factor the trinomial x(to the power of 2)−12x+6
Vladimir [108]

Answer:

See below

Step-by-step explanation:

You cannot find two whole number integers that give a sum of -12 and a product of 6.

-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6

-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6

...and so on...

4 0
2 years ago
Read 2 more answers
In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours
r-ruslan [8.4K]

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

6 0
3 years ago
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