Answer:
A
Step-by-step explanation:
30 minutes = half an hour
Carly:
450/2 = 225
620/2= 310
225 + 310 = 535
Carly burned 535 calories total
Sarah:
560/2 = 280
510/2 = 225
280 + 225 = 505
Sarah burned 505 calories total
Carly burned more calories than Sarah
Dilation is a transformation that maps an object to an image by stretching or diminishing it but retaining the original shape. It is described by stating the center of dilation and the dilation scale factor.
Dilation scale factor is given by dividing the coordinate of the image with the corresponding coordinate of the object.
In this case, if we consider A and A' then; k(-5,-4) = (-3.75, -3)
Thus, -5k = -3.75 or -4k = -3
k = 3/4
Hence the scale factor of dilation is 3/4
Answer:
x=-8/5, y=-4/5. (-8/5, -4/5).
Step-by-step explanation:
y=-2x-4
y=3x+3
-----------
-2x-4=3x+3
-2x-3x-4=3
-5x-4=3
-5x=3+4
-5x=8
x=8/-5
y=-2(-8/5)-4
y=16/5-4
y=16/5-20/5=-4/5
the weight of the substance after 28 years is 8 grams.
<h3>How to determine the amount</h3>
We have that the half life of a substance is defined as the time required for the substance to decrease by half
The formula for calculating the half - life of a material is given as;
Where
- N(t) is final amount
- No is the initial amount = 128 grams
- t1/2 is the half life = 7 years
- t is the time elapsed = 28 years
Substitute into the formula
N(t) = 128 × (0. 5) ^28/ 7
N (t) = 128 × ( 0. 5) ^ 4
N(t) = 128 × 0. 0625
N(t) = 8 grams
Thus, the weight of the substance after 28 years is 8 grams.
Learn more about half life here:
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Answer:
the value of the investment after 3 years= £11,904
Step-by-step explanation:
sarah invests £9600 at a simple interest rate of 8% per year
number of years = 3
Formula for simple interest
I = P*n* r
P is the initial amount invested= 9600
r is the rate of interest = 8% = 0.08
n = number of years = 3
Now we find interest using formula
I = 9600 * 0.08 * 3= 2304
Interest amount is 2,304
Now we add the interest with the initial amount to get the value of investment after 3 years
9600 + 2304= 11904
