Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed 
of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.
Answer:
x= 2 and y = -4
Step-by-step explanation:
8x + 3y = 4 ---------------------------------(1)
-7x + 5y = -34 -----------------------------(2)
Multiply through equation (1) by 5 and multiply through equation(2) by 3
40x + 15y = 20 ----------------------------(3)
-21x + 15y =-102----------------------------(4)
Subtract equation (4) from equation (3)
61x = 122
Divide both-side of the equation by 61
61x/61 = 122/61
(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)
x = 122/61
x=2
Substitute x= 2 into equation (1)
8x + 3y = 4
8(2) + 3y = 4
16 + 3y = 4
Subtract 16 from both-side of the equation
16-16 + 3y = 4-16
3y = -12
Divide both-side of the equation by 3
3y/3 = -12/3
y = -4
x= 2 and y = -4
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Below is the solution:
<span>E(X) = 50*1 - 3*8000/10000
E(X) = 50 - 24 = $26 per year</span>
Answer:
{x | x ≤ -20}
Step-by-step explanation:
x + 17 ≤ -3
Subtract 17 from each side
x + 17-17 ≤ -3-17
x ≤ -20
