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rewona [7]
3 years ago
14

There are 3 grams of sugar in 1.2 cups of strawberries. How many cups of strawberries are needed to get 5 grams of sugar?

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

2 cups

Step-by-step explanation:

Since 1.2 cups of Strawberries gives you 3 grams of sugar, doubling the amount of strawberries would be too much, 6 grams. But, since the amount needed is 2 grams, that is 2/3 of 1.2 cups of strawberries. 2/3 of 1.2 is 0.8, so add the original amount of srawberries with 2/3 of the 1.2 cups and you get 1.2 cups+ 0.8 cups= 2 cups

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Find an equation of the circle that has center (-4,3) and passes through (6,-4).
kumpel [21]

Answer:

(x+4)^2+(y-3)^2=149

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center of the circle and r is the radius of the circle.

Given that (h,k)\rightarrow(-4,3) and it passes (6,-4), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}

Therefore, if the length of the radius is r=\sqrt{149} units, then r^2=149, making the final equation of the circle (x+4)^2+(y-3)^2=149

5 0
2 years ago
Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
DochEvi [55]

Let y=ab^x, as described in the problem statement. Plugging in x=2 and x=5 gives us the equations 18=ab^2 and 60.75=ab^5. Since a,b are nonzero, we divide the second equation by the first to get \frac{27}{8}=b^3, which means that b=\frac{3}{2}, after taking the cube root. Plugging this value for b into the first equation, we now have 18=a(3/2)^2=\frac{9a}{4}. Solving gives a=8, and our desired exponential equation is \boxed{y=8\left(\frac{3}{2}\right)^x}.

8 0
3 years ago
The sum of a number and its ____________ is zero.
arsen [322]
Negative counterpart

5 + -5 = 0
8 0
2 years ago
HELP ASAPPPP !!!! NEED ANSWERS NOW!!
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Answer: 1. 2nd endpoint  (24,-18)       2. 2nd endpoint: (-19,4)

Step-by-step explanation:

1.   \frac{-10+x}{2} = 7  x = 24

    \frac{6+y}{2} = -6    y= -18

2nd endpoint: (24,-18)

   

2.  \frac{-1+x}{2} = -10   x= -19  

   \frac{0+y}{2} =  2     y= 4

6 0
3 years ago
Question In picture above
Irina18 [472]
SAS B is the answer!
8 0
3 years ago
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