Answer:
23/ 40 (0.57) yards of fabric
Step-by-step explanation:
Claire bought 9/10 of a yard of fabric to make her granddaughter a dress. She only used 3/4 of the fabric.
9/ 10 x 3 /4
9/10 x 3/4 = 27/ 40
1 - 27/40 = 40 -27
/40
Therefore, 23/ 40 (0.57) yards of fabric is used by Claire.
Answer:
A. The dilated line lies on the original line.
Step-by-step explanation:
Dilation changes sizes, but not slopes or angles. The dilated line is guaranteed to have the same slope as the original.
The center of dilation is "invariant" (doesn't move) as a result of the dilation. Here, the point (3, 0) is the center of dilation. It is the x-intercept of the original line, so will also be on the dilated line.
The dilated line has the same slope as the original and goes through a point that the original line goes through. Hence it lies on the original line.
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How do you do this question?
1. make use of the properties of dilation, as we have done above.
2. plot some points on the original line—(0, 3) and (3, 0) are the intercepts—apply the dilation, and see where the line goes. (You will find (0, 3) ⇒ (-6, 9), and (3, 0) ⇒ (3, 0). Both are on the original line.)
The simple interest on x dollars at 5-percent annual rate for 2 year is $0.1x
<h3>Calculating simple interest</h3>
The formula for calculating the simple interest is expressed as:
SI = PRT
where
P is the principal = $x
R is the rate = 5%= 0.05
Time T = 2 years
Substitute
SI = x * 0.05 * 2
SI. = 0.1x
Hence the simple interest on x dollars at 5-percent annual rate for 2 year is $0.1x
Learn more on simple interest here: brainly.com/question/25793394
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I= PRT
I= 1400 X 0.015 X 0.5
I= 21 X 0.5
I= 10.5
if it was a full 12 months it would be
21 x 1= 21
if it was 1/5 years it would be
21 x 1.5 = 31.5 and so on