Answer:
We need to make a conversion for the new recipe. If the regular recipe calls for 2 cups of Sugar, we can make a conversion for the new recipe.
Step-by-step explanation:
Conversion- 2:7= 1:4 (sugar)
2:7 (sugar)
3: x (flour)
1: y (milk)
X= 8 (flour)
Y= 6 (milk)
NEW RECIPE:
3.5 cups of milk
10.5 cups of flour
7 cups Sugar
We found this by seeing the new recipe adds 5 more cups with the original amount :)
Answer:
2j+57
Step-by-step explanation:
Two times a umber j is expressed as 2j
if Fifty-seven is more than two times j", this means we will have to add 57 to 2j as shown;
f(j) = 2j + 57
Hence the statement written as a function is expressed as 2j+57
If I understood coorectly, you're looking for the fourth root of 81. This exercise can be solved by remembering that extracting the fourth root of a number is the same as raising that number to the power of 1/4.
We also need the prime factorization of 81, which is

So, the fourth root of 81 is 81 raised to the power of 1/4, which means
![\sqrt[4]{81} = \sqrt[4]{3^4} = (3^4)^{\frac{1}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%7D%20%3D%20%5Csqrt%5B4%5D%7B3%5E4%7D%20%3D%20%283%5E4%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20)
Now, use the property of exponents
to convert the expression into

Answer:
The length of the line segment AC is equal to 14
Step-by-step explanation:
The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.
AB=2x and AC= 3x - 7
AB = AC
which implies;
2x = 3x - 7
subtract 3x from both-side of the equation
2x - 3x = 3x -3x -7
-x = -7
Multiply through by -1
x = 7
But we were ask to find the the length of the line segment AC
AC = 3x - 7
substituting x = 7 into the above equation will yield;
AC = 3(7) - 7 = 21 - 7 =14
Therefore the length of the line segment AC is equal to 14